English number words include numerals and various words derived from them.
Cardinal Numbers[]
Cardinal numbers refer to the size of a group. In English, these words are numerals. The numbers from 0 through 9 have the same names as in decimal but numbers greater than 9, there is no agreed upon name for units.
- 0 - zero (nought) (sometimes pronouced as "oh" in speech)
- 1 - one
- 2 - two
- 3 - three
- 4 - four
- 5 - five
- 6 - six
- 7 - seven
- 8 - eight
- 9 - nine
- 𝛘 - ten, dek
- Ɛ - eleven, el, elv, lev, ven
- 10 - twelve, dozen, doh, zen, unqua
- 20 - twenty, two-doh
- 30 - thirty, three-doh
- 𝛘0 - dekty, dek-doh
- Ɛ0 - elty, el-doh
- 100 - hundred, gross
- 1000 - thousand, great-gross, mo
Ɛ has numerous names because eleven's (decimal name for Ɛ) etymology originates from a Germanic compound ainlif meaning "one left" thus, is a decimal name rather than a dozenal name. The word lev for Ɛ is not advised as lev is a root in SDN and would cause confusion e.g. levqua = 10;E but lev levqua could mean either 10;EE or Ɛ 10;E
For larger numbers, there are approximately 𝛘 different systems. The following table show the following names for larger numbers:
Type | Traditional | Gross-Zagier | Vintage DSA | Grand | Alternative Grand | TGM | SDN | UUS - Myriads | UUS - Prefix | Mirioss | |
Power Grouping | 1 | 3 | 3 | 3 | 3 | 1 | 1 | Powers of 2 | Mixture | 4 | |
Power of 10; | |||||||||||
1 | twelve | dozen | doh | doh | doh | zen | unqua | dozen | dozen | ||
2 | gross | gross | gro | grosan | grosan | duna | biqua | gross | hecty | ||
3 | great gross / grand gross / maß (germanic) | zagier | mo | unand / grand | monand | trina | triqua | kily | |||
4 | great great gross | quedra | quadqua | myriad | super | mirioss | |||||
5 | quena | pentqua | |||||||||
6 | bi-zagier | bi-mo | binand | dyand | hesa | hexqua | |||||
7 | seva | septqua | |||||||||
8 | aka | octqua | myllion | cosmic | birioss | ||||||
9 | tri-zagier | tri-mo | triand | triand | neena | ennqua | |||||
𝛘 | dexa | dekqua | |||||||||
Ɛ | lefa | levqua | |||||||||
10 | quad-zagier | quad-mo | quadrand | tetrand | zennila | unnilqua | tirioss | ||||
11 | zenzena | ununqua | |||||||||
12 | zenduna | unbiqua | |||||||||
13 | pent-zagier | pent-mo | pentand | penta | zentrina | untriqua | |||||
14 | zenquedra | unquadqua | byllion | by-cosmic | quirioss | ||||||
15 | zenquena | unpentqua | |||||||||
16 | hex-zagier | hex-mo | hexand | hexand | zenhesa | unhexqua | |||||
17 | zenseva | unseptqua | |||||||||
18 | zenaka | unoctqua | pentirioss | ||||||||
19 | sept-zagier | sept-mo | septand | septand | zenneena | unennqua | |||||
1𝛘 | zendexa | undekqua | |||||||||
1Ɛ | zenlefa | unlevqua | |||||||||
20 | oct-zagier | oct-mo | octand | octand | dunduna | binilqua | hexirioss | ||||
21 | dunzena | biunqua | |||||||||
22 | dunduna | bibiqua | |||||||||
23 | non-zagier | enna-mo | ennand | nonand | duntrina | bitriqua | |||||
24 | dunquedra | biquadqua | septirioss | ||||||||
25 | dunquena | bipentqua | |||||||||
26 | dek-zagier | dek-mo | dekand | dekand | dunhesa | bihexqua | |||||
27 | dunseva | biseptqua | |||||||||
28 | dunaka | bioctqua | tryllion | try-cosmic | okkirioss | ||||||
29 | lev-zagier | lev-mo | levand | venand | dunneena | biennqua | |||||
2𝛘 | dundexa | bidekqua | |||||||||
2Ɛ | dunlefa | bilevqua | |||||||||
30 | un-nil-zagier | un-nil-mo | unniland | monniland | trinnila | trinilqua | nokkirioss | ||||
31 | trinzena | triunqua | |||||||||
32 | trinduna | tribiqua | |||||||||
33 | un-un-zagier | un-un-mo | ununand | mondyand | trintrina | tritriqua | |||||
34 | trinquedra | triquadqua | dekirioss | ||||||||
35 | trinquena | tripentqua | |||||||||
36 | un-bi-zagier | un-bi-mo | unbiand | mondyand | trinhesa | trihexqua | |||||
37 | trinseva | triseptqua | |||||||||
38 | trinaka | trioctqua | elkirioss | ||||||||
39 | un-tri-zagier | un-tri-mo | untriand | montriand | trinneena | triennqua | |||||
3𝛘 | trindexa | tridekqua | |||||||||
3Ɛ | trinlefa | trilevqua | minikirioss | ||||||||
40 | un-quad-zagier | un-quad-mo | unquadrand | montetrand | quedranila | quadnilqua |
The following text will use the Grand system, Ten for X, and Elv for E
In English, all numbers are perfectly regular, except for the word doh on its own can have no one in front of it (10 = doh / one-doh).
If a number is in the range 11; to EE;, and the second digit is not zero, you typically write the number in words separated by a hyphen.
20 | two-doh |
21 | two-doh-one |
32 | three-doh-two |
79 | seven-doh-nine |
ƐƐ | elv-doh-elv |
The grosans are written in the following fashion:
100 | one grosan |
200 | two grosan |
... | ... |
Ɛ00 | elv grosan |
So too are the unands, with the number of unands followed by the word "unand"
1000 | one unand |
2000 | two unand |
... | ... |
Ɛ000 | elv unand |
10 000 | doh unand |
11 000 | doh-one unand |
87 000 | eight-doh-seven unand |
For high powers of doh, the same conversion is used for biand, triand, quadrand, etc.
And example number such as 63E 014 791 62X; can be written in english as the following: six grosan three-doh-elv doh-four biand seven-grosan nine-doh-one unand six-grosan two-doh-ten
Short scale[]
Sets of 3 zeros
(n) (n-illion) (number of zeros: 3n+3) (value: 103n+3)
1 million 6 (1,000,000)
2 billion 9 (1,000,000,000)
3 trillion 10 (1,000,000,000,000)
4 quadrillion 13 (1,000,000,000,000,000)
5 quintillion 16 (1,000,000,000,000,000,000)
6 sextillion 19 (1,000,000,000,000,000,000,000)
7 septillion 20 (1,000,000,000,000,000,000,000,000)
8 octillion 23 (1,000,000,000,000,000,000,000,000,000)
9 nonillion 26 (1,000,000,000,000,000,000,000,000,000,000)
𝛘 dekrillion 29 (1,000,000,000,000,000,000,000,000,000,000,000)
Ɛ elpillion 30 (1,000,000,000,000,000,000,000,000,000,000,000,000)
10 dozillion 33 (1,000,000,000,000,000,000,000,000,000,000,000,000,000)
11 undozillion 36 (etc...)
12 duodozillion 39
13 tredozillion 40
14 quattuordozillion 43
15 quindozillion 46
16 sexdozillion 49
17 septendozillion 50
18 octodozillion 53
19 novemdozillion 56
1𝛘 dekradozillion 59
1Ɛ elpindozillion 60
20 vigintillion 63
21 unvigintillion 66
22 duovigintillion 69
23 trevigintillion 70
24 quattuorvigintillion 73
25 quinvigintillion 76
26 sexvigintillion 79
27 septenvigintillion 80
28 octovigintillion 83
29 novemvigintillion 86
2𝛘 dekravigintillion 89
2Ɛ elpinvigintillion 90
30 trigintillion 93
31 untrigintillion 96
32 duotrigintillion 99
33 tretrigintillion X0
34 quattuortrigintillion X3
35 quintrigintillion X6
36 sextrigintillion X9
37 septentrigintillion E0
38 octotrigintillion E3
39 novemtrigintillion E6
3𝛘 dekratrigintillion E9
3Ɛ elpintrigintillion 100
40 quadragintillion 103
41 unquadragintillion 106
42 duoquadragintillion 109
43 trequadragintillion 110
44 quattuorquadragintillion 113
45 quinquadragintillion 116
46 sexquadragintillion 119
47 septenquadragintillion 120
48 octoquadragintillion 123
49 novemquadragintillion 126
4𝛘 dekraquadragintillion 129
4Ɛ elpinquadragintillion 130
50 quinquagintillion 133
51 unquinquagintillion 136
52 duoquinquagintillion 139
53 trequinquagintillion 140
54 quattuorquinquagintillion 143
55 quinquinquagintillion 146
56 sexquinquagintillion 149
57 septenquinquagintillion 150
58 octoquinquagintillion 153
59 novemquinquagintillion 156
5𝛘 dekraquinquagintillion 159
5Ɛ elpinquinquagintillion 160
60 sexagintillion 163
61 unsexagintillion 166
62 duosexagintillion 169
63 tresexagintillion 170
64 quattuorsexagintillion 173
65 quinsexagintillion 176
66 sexsexagintillion 179
67 septensexagintillion 180
68 octosexagintillion 183
69 novemsexagintillion 186
6𝛘 dekrasexagintillion 189
6Ɛ elpinsexagintillion 190
70 septuagintillion 193
71 unseptuagintillion 196
72 duoseptuagintillion 199
73 treseptuagintillion 1X0
74 quattuorseptuagintillion 1X3
75 quinseptuagintillion 1X6
76 sexseptuagintillion 1X9
77 septenseptuagintillion 1E0
78 octoseptuagintillion 1E3
79 novemseptuagintillion 1E6
7𝛘 dekraseptuagintillion 1E9
7Ɛ elpinseptuagintillion 200
80 octogintillion 203
81 unoctogintillion 206
82 duooctogintillion 209
83 treoctogintillion 210
84 quattuoroctogintillion 213
85 quinoctogintillion 216
86 sexoctogintillion 219
87 septenoctogintillion 220
88 octooctogintillion 223
89 novemoctogintillion 226
8𝛘 dekraoctogintillion 229
8Ɛ elpinoctogintillion 230
90 nonagintillion 233
91 unnonagintillion 236
92 duononagintillion 239
93 trenonagintillion 240
94 quattuornonagintillion 243
95 quinnonagintillion 246
96 sexnonagintillion 249
97 septennonagintillion 250
98 octononagintillion 253
99 novemnonagintillion 256
9𝛘 dekranonagintillion 259
9Ɛ elpinnonagintillion 260
𝛘0 dekragintillion 263
𝛘1 undekragintillion 266
𝛘2 duodekragintillion 269
𝛘3 tredekragintillion 270
𝛘4 quattuordekragintillion 273
𝛘5 quindekragintillion 276
𝛘6 sexdekragintillion 279
𝛘7 septendekragintillion 280
𝛘8 octodekragintillion 283
𝛘9 novemdekragintillion 286
𝛘𝛘 dekradekragintillion 289
𝛘Ɛ elpindekragintillion 290
Ɛ0 elpagintillion 293
Ɛ1 unelpagintillion 296
Ɛ2 duoelpagintillion 299
Ɛ3 treelpagintillion 2X0
Ɛ4 quattuorelpagintillion 2X3
Ɛ5 quinelpagintillion 2X6
Ɛ6 sexelpagintillion 2X9
Ɛ7 septenelpagintillion 2E0
Ɛ8 octoelpagintillion 2E3
Ɛ9 novemelpagintillion 2E6
Ɛ𝛘 dekraelpagintillion 2E9
ƐƐ elpinelpagintillion 300
100 centillion 303
(there is no consistent and widely accepted way to extend cardinals beyond centillion)
Centillion (10303) is second largest named number after googolplex (1010100) and the largest number with a conventional name.
For long scale, "n" should be corresponding to 6n (106n) instead of 3n+3 (103n+3), and 6n+3 can be either "thousand n-illion" or "n-illiard". Besides, for super-long scale, "n" should be corresponding to 10n (1010n) instead of 3n+3 (103n+3), and 10n+3 is "thousand n-illion", 10n+6 is "n-illiard", 10n+9 is "thousand n-illiard".
We can name all numbers <= 306 digits in short scale, all numbers <= 606 digits in long scale, and all numbers <= 1010 digits in super-long scale.
The numbers < 109 (i.e. <= 9 digits) have the same names in all of these three scales.
The small units are "onety" (instead of "ten") for 101 and "hundred" for 102, besides, for super-long scale, 106 is still "million", but 1010 is a new word "unillion", and 1016 is "unilliard".
0 zero
1 one
2 two
3 three
4 four
5 five
6 six
7 seven
8 eight
9 nine
𝛘 dek
Ɛ el
10 onety
20 twenty
30 thirty
40 forty
50 fifty
60 sixty
70 seventy
80 eighty
90 ninety
𝛘0 dekty
Ɛ0 elty
100 one hundred
1000 one thousand
Numbers 0 to 100[]
0: zero (zeroth) (0th)
1: one (first) (1st)
2: two (second) (2nd)
3: three (third) (3rd)
4: four (fourth) (4th)
5: five (fifth) (5th)
6: six (sixth) (6th)
7: seven (seventh) (7th)
8: eight (eighth) (8th)
9: nine (ninth) (9th)
𝛘: dek (dekth) (Xth)
Ɛ: el (elth) (Eth)
10: onety (onetieth) (10th) ten? tenth? doz? dozth? dozen? dozenth?
11: onety-one (onety-first) (11st) oneteen? oneteenth? 11th? onedoz? onedozth?
12: onety-two (onety-second) (12nd) twenteen? twenteenth? 12th? twendoz? twendozth?
13: onety-three (onety-third) (13rd) thirteen? thirteenth? 13th? thirdoz? thirdozth?
14: onety-four (onety-fourth) (14th) fourteen? fourteenth? fourdoz? fourdozth?
15: onety-five (onety-fifth) (15th) fifteen? fifteenth? fifdoz? fifdozth?
16: onety-six (onety-sixth) (16th) sixteen? sixteenth? sixdoz? sixdozth?
17: onety-seven (onety-seventh) (17th) seventeen? seventeenth? sevendoz? sevendozth?
18: onety-eight (onety-eighth) (18th) eighteen? eighteenth? eightdoz? eightdozth?
19: onety-nine (onety-ninth) (19th) nineteen? nineteenth? ninedoz? ninedozth?
1𝛘: onety-dek (onety-dekth) (1Xth) dekteen? dekteenth? dekdoz? dekdozth?
1Ɛ: onety-el (onety-elth) (1Eth) elteen? elteenth? eldoz? eldozth?
20: twenty (twentieth) (20th)
21: twenty-one (twenty-first) (21st)
22: twenty-two (twenty-second) (22nd)
23: twenty-three (twenty-third) (23rd)
24: twenty-four (twenty-fourth) (24th)
25: twenty-five (twenty-fifth) (25th)
26: twenty-six (twenty-sixth) (26th)
27: twenty-seven (twenty-seventh) (27th)
28: twenty-eight (twenty-eighth) (28th)
29: twenty-nine (twenty-ninth) (29th)
2𝛘: twenty-dek (twenty-dekth) (2Xth)
2Ɛ: twenty-el (twenty-elth) (2Eth)
30: thirty (thirtieth) (30th)
31: thirty-one (thirty-first) (31st)
32: thirty-two (thirty-second) (32nd)
33: thirty-three (thirty-third) (33rd)
34: thirty-four (thirty-fourth) (34th)
35: thirty-five
36: thirty-six
37: thirty-seven
38: thirty-eight
39: thirty-nine
3𝛘: thirty-dek
3Ɛ: thirty-el
40: forty
41: forty-one
42: forty-two
43: forty-three
44: forty-four
45: forty-five
46: forty-six
47: forty-seven
48: forty-eight
49: forty-nine
4𝛘: forty-dek
4Ɛ: forty-el
50: fifty
51: fifty-one
52: fifty-two
53: fifty-three
54: fifty-four
55: fifty-five
56: fifty-six
57: fifty-seven
58: fifty-eight
59: fifty-nine
5𝛘: fifty-dek
5Ɛ: fifty-el
60: sixty
61: sixty-one
62: sixty-two
63: sixty-three
64: sixty-four
65: sixty-five
66: sixty-six
67: sixty-seven
68: sixty-eight
69: sixty-nine
6𝛘: sixty-dek
6Ɛ: sixty-el
70: seventy
71: seventy-one
72: seventy-two
73: seventy-three
74: seventy-four
75: seventy-five
76: seventy-six
77: seventy-seven
78: seventy-eight
79: seventy-nine
7𝛘: seventy-dek
7Ɛ: seventy-el
80: eighty
81: eighty-one
82: eighty-two
83: eighty-three
84: eighty-four
85: eighty-five
86: eighty-six
87: eighty-seven
88: eighty-eight
89: eighty-nine
8𝛘: eighty-dek
8Ɛ: eighty-el
90: ninety
91: ninety-one
92: ninety-two
93: ninety-three
94: ninety-four
95: ninety-five
96: ninety-six
97: ninety-seven
98: ninety-eight
99: ninety-nine
9𝛘: ninety-dek
9Ɛ: ninety-el
𝛘0: dekty
𝛘1: dekty-one
𝛘2: dekty-two
𝛘3: dekty-three
𝛘4: dekty-four
𝛘5: dekty-five
𝛘6: dekty-six
𝛘7: dekty-seven
𝛘8: dekty-eight
𝛘9: dekty-nine
𝛘𝛘: dekty-dek
𝛘Ɛ: dekty-el
Ɛ0: elty
Ɛ1: elty-one
Ɛ2: elty-two
Ɛ3: elty-three
Ɛ4: elty-four
Ɛ5: elty-five
Ɛ6: elty-six
Ɛ7: elty-seven
Ɛ8: elty-eight
Ɛ9: elty-nine
Ɛ𝛘: elty-dek
ƐƐ: elty-el
100: one hundred (one hundredth) (100th)
A system of dozenal (duodecimal) numerals[]
Use "." instead of ";" for the dozenal point
This numeral system can be used of the nonnegative integers < 101010. (i.e. <= 1010 digits).
This is the super-long scale.
(In this list, all numbers are written in dozenal)
number | name |
---|---|
0 | zero(〇/零) |
1 | one(一/壹) |
2 | two(二/貳) |
3 | three(三/叄) |
4 | four(四/䦉) |
5 | five(五/伍) |
6 | six(六/陸) |
7 | seven(七/柒) |
8 | eight(八/捌) |
9 | nine(九/玖) |
𝛘 | dek(丁/躂)(dā) |
Ɛ | el(乂/薆)(ài) |
10 | onety(十/拾) |
11 | onety-one |
12 | onety-two |
13 | onety-three |
14 | onety-four |
15 | onety-five |
16 | onety-six |
17 | onety-seven |
18 | onety-eight |
19 | onety-nine |
1𝛘 | onety-dek |
1Ɛ | onety-el |
20 | twenty |
21 | twenty-one |
22 | twenty-two |
23 | twenty-three |
24 | twenty-four |
25 | twenty-five |
26 | twenty-six |
27 | twenty-seven |
28 | twenty-eight |
29 | twenty-nine |
2𝛘 | twenty-dek |
2Ɛ | twenty-el |
30 | thirty |
31 | thirty-one |
32 | thirty-two |
33 | thirty-three |
40 | forty |
50 | fifty |
60 | sixty |
70 | seventy |
80 | eighty |
90 | ninety |
𝛘0 | dekty |
Ɛ0 | elty |
100 | one hundred(一百/壹佰) |
101 | one hundred one |
102 | one hundred two |
103 | one hundred three |
110 | one hundred onety |
111 | one hundred onety-one |
200 | two hundred |
300 | three hundred |
400 | four hundred |
500 | five hundred |
600 | six hundred |
700 | seven hundred |
800 | eight hundred |
900 | nine hundred |
𝛘00 | dek hundred |
Ɛ00 | el hundred |
1000 | one thousand(一千/壹仟) |
1001 | one thousand one |
1010 | one thousand onety |
1011 | one thousand onety-one |
1100 | one thousand one hundred |
1101 | one thousand one hundred one |
1110 | one thousand one hundred onety |
1111 | one thousand one hundred onety-one |
2000 | two thousand |
3000 | three thousand |
10000 | onety thousand(一万/壹萬) |
100000 | one hundred thousand |
106 | one million |
107 | onety million |
108 | one hundred million |
109 | one thousand million |
10𝛘 | onety thousand million |
10Ɛ | one hundred thousand million |
1010 | one unillion |
1011 | onety unillion |
1012 | one hundred unillion |
1013 | one thousand unillion |
1014 | onety thousand unillion |
1015 | one hundred thousand unillion |
1016 | one unilliard |
1017 | onety unilliard |
1018 | one hundred unilliard |
1019 | one thousand unilliard |
101𝛘 | onety thousand unilliard |
101𝛘 | one hundred thousand unilliard |
1020 | one billion |
1021 | onety billion |
1022 | one hundred billion |
1023 | one thousand billion |
1024 | onety thousand billion |
1025 | one hundred thousand billion |
1026 | one billiard |
1027 | onety billiard |
1028 | one hundred billiard |
1029 | one thousand billiard |
102𝛘 | onety thousand billiard |
102Ɛ | one hundred thousand billiard |
1030 | one trillion |
1036 | one trilliard |
1040 | one quadrillion |
1046 | one quadrilliard |
1050 | one quintillion |
1056 | one quintilliard |
1060 | one sextillion |
1066 | one sextilliard |
1070 | one septillion |
1080 | one octillion |
1090 | one nonillion |
10𝛘0 | one dekrillion |
10Ɛ0 | one elpillion |
10100 | one dozillion (one googol) |
10110 | one undozillion |
10120 | one duodozillion |
10130 | one tredozillion |
10140 | one quattuordozillion |
10150 | one quindozillion |
10160 | one sexdozillion |
10170 | one septendozillion |
10180 | one octodozillion |
10190 | one novemdozillion |
101𝛘0 | one dekradozillion |
101Ɛ0 | one elpindozillion |
10200 | one vigintillion |
10210 | one unvigintillion |
10220 | one duovigintillion |
10230 | one trevigintillion |
10300 | one trigintillion |
10400 | one quadragintillion |
10500 | one quinquagintillion |
10600 | one sexagintillion |
10700 | one septuagintillion |
10800 | one octogintillion |
10900 | one nonagintillion |
10Ɛ00 | one dekragintillion |
10Ɛ00 | one elpagintillion |
101000 | one centillion |
SI prefixes of powers of 10:
This is the new SI prefix.(but as of 2023)
(In this list, all numbers are written in dozenal)
number | prefix name | prefix symbol | number | prefix name | prefix symbol |
---|---|---|---|---|---|
101 | doza | D | 10−1 | dozi | d |
102 | hecto | H | 10−2 | centi | c |
103 | kilo | K | 10−3 | milli | m |
106 | mega | M | 10−6 | micro | µ |
109 | giga | G | 10−9 | nano | n |
1010 | sona | S | 10−10 | leco | l |
1020 | jota | J | 10−20 | bipo | b |
1030 | ceta | C | 10−30 | eto | e |
1040 | tera | T | 10−40 | pico | p |
1050 | peta | P | 10−50 | femto | f |
1060 | exa | E | 10−60 | atto | a |
1070 | zetta | Z | 10−70 | zepto | z |
1080 | yotta | Y | 10−80 | yocto | y |
1090 | ronna | R | 10−90 | ronto | r |
10𝛘0 | quekra | Q | 10−𝛘0 | quekto | q |
10Ɛ0 | velpera | V | 10−Ɛ0 | velpeto | v |
10100 | uzena | U | 10−100 | uzeno | u |
101000 | tousa | O | 10−1000 | touto | o |
Example[]
The number 2100 = 16,25𝛘,715,4𝛘6,93E,005,208,8Ɛ9,747,1ƐƐ,𝛘06,409,854 that has 35 digits.
In short scale, this number is
onety-six dozillion two hundred fifty-dek elpillion seven hundred onety-five dekrillion four hundred dekty-six nonillion nine hundred thirty-el octillion five septillion two hundred eight sextillion eight hundred elty-nine quintillion seven hundred forty-seven quadrillion one hundred elty-el trillion dek hundred six billion four hundred nine million six hundred ninety-el thousand eight hundred fifty-four
In long scale, this number is
onety-six thousand two hundred fifty-dek sextillion seven hundred onety-five thousand four hundred dekty-six quintillion nine hundred thirty-el thousand five quadrillion two hundred eight thousand eight hundred elty-nine trillion seven hundred forty-seven thousand one hundred elty-el billion dek hundred six thousand four hundred nine million six hundred ninety-el thousand eight hundred fifty-four
or
onety-six sextilliard two hundred fifty-dek sextillion seven hundred onety-five quintillion’s four hundred dekty-six quintillion nine hundred thirty-el quadrilliard five quadrillion two hundred eight trilliard eight hundred elty-nine trillion seven hundred forty-seven billiard one hundred elty-el billion dek hundred six milliard four hundred nine million six hundred ninety-el thousand eight hundred fifty-four
In super-long scale, this number is
onety-six thousand two hundred fifty-dek trillion seven hundred onety-five thousand four hundred dekty-six billiard nine hundred thirty-el thousand five billion two hundred eight thousand eight hundred elty-nine unilliard seven hundred forty-seven thousand one hundred elty-el unillion dek hundred six thousand four hundred nine million six hundred ninety-el thousand eight hundred fifty-four
In fact, the number 1043 is simply read out as "onety to the forty-third". This is easier to say and less ambiguous than "quattuordozillion", which means something different in the long scale and the short scale (in long scale, it means 1080).
The googol family[]
googol = 10^100
bigoogol = 10^200
trigoogol = 10^300
quadrigoogol = 10^400
quintigoogol = 10^500
sextigoogol = 10^600
septigoogol = 10^700
octigoogol = 10^800
nonigoogol = 10^900
dekrigoogol = 10^X00
elpigoogol = 10^E00
dozigoogol (great googol) = 10^1000
centigoogol = 10^10000
googolplex = 10^(10^100)
googolplexplex (googolduplex, googolplexian) = 10^(10^(10^100))
Also googoltriplex (=10^(10^(10^(10^100)))), googolquadriplex, googolquintiplex, googolsextiplex, googolseptiplex, googoloctiplex, googolnoniplex, googoldekriplex, googolelpiplex, googoldoziplex, ..., googolcentiplex
Note: n-plex is 10n, n-minex is 10-n.
100 = gross
1000 = great gross
10^100 = googol (grossplex)
10^1000 = great googol (great grossplex)
SI prefixes[]
Prefix | Base 1000 | Base 10 | Dozenal | English word | ||
---|---|---|---|---|---|---|
Name | Symbol | Short scale | Long scale | |||
yotta | Y | 10008 | 1020 | 1 000000 000000 000000 000000 | septillion | quadrillion |
zetta | Z | 10007 | 1019 | 1000 000000 000000 000000 | sextillion | trilliard |
exa | E | 10006 | 1016 | 1 000000 000000 000000 | quintillion | trillion |
peta | P | 10005 | 1013 | 1000 000000 000000 | quadrillion | billiard |
tera | T | 10004 | 1010 | 1 000000 000000 | trillion | billion |
giga | G | 10003 | 109 | 1000 000000 | billion | milliard |
mega | M | 10002 | 106 | 1 000000 | million | |
kilo | k | 10001 | 103 | 1000 | thousand | |
hecto | h | 10000.8 | 102 | 100 | hundred | |
deca | da / D | 10000.4 | 101 | 10 | onety | |
10000 | 100 | 1 | one | |||
deci | d | 1000−0.4 | 10−1 | 0.1 | onetieth | |
centi | c | 1000−0.8 | 10−2 | 0.01 | hundredth | |
milli | m | 1000−1 | 10−3 | 0.001 | thousandth | |
micro | μ | 1000−2 | 10−6 | 0.000001 | millionth | |
nano | n | 1000−3 | 10−9 | 0.000000 001 | billionth | milliardth |
pico | p | 1000−4 | 10−10 | 0.000000 000001 | trillionth | billionth |
femto | f | 1000−5 | 10−13 | 0.000000 000000 001 | quadrillionth | billiardth |
atto | a | 1000−6 | 10−16 | 0.000000 000000 000001 | quintillionth | trillionth |
zepto | z | 1000−7 | 10−19 | 0.000000 000000 000000 001 | sextillionth | trilliardth |
yocto | y | 1000−8 | 10−20 | 0.000000 000000 000000 000001 | septillionth | quadrillionth |
List of number names[]
1 = One
10 = Onety
100 = One hundred
1000 = One thousand
1000000 = One million
1000000000 = One billion
1000000000000 = One trillion
1000000000000000 = One quadrillion
1000000000000000000 = One quintillion
1000000000000000000000 = One sextillion
1000000000000000000000000 = One septillion
1000000000000000000000000000 = One octillion
1000000000000000000000000000000 = One nonillion
1000000000000000000000000000000000 = One dekrillion
1000000000000000000000000000000000000 = One elpillion
1000000000000000000000000000000000000000 = One dozillion
1000000000000000000000000000000000000000000 = One undozillion
1000000000000000000000000000000000000000000000 = One duodozillion
1000000000000000000000000000000000000000000000000 = One tredozillion
1000000000000000000000000000000000000000000000000000 = One quattuordozillion
1000000000000000000000000000000000000000000000000000000 = One quindozillion
1000000000000000000000000000000000000000000000000000000000 = One sexdozillion
1000000000000000000000000000000000000000000000000000000000000 = One septendozillion
1000000000000000000000000000000000000000000000000000000000000000 = One octodozillion
1000000000000000000000000000000000000000000000000000000000000000000 = One novemdozillion
1000000000000000000000000000000000000000000000000000000000000000000000 = One dekradozillion
1000000000000000000000000000000000000000000000000000000000000000000000000 = One elpindozillion
1000000000000000000000000000000000000000000000000000000000000000000000000000 = One vigintillion
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 = One googol (the number 1 followed by 100 zeros)
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 = One centillion (the number 1 followed by 303 zeros)
One googolplex = The number 1 followed by a googol zeros (there literally isn't enough room in the universe to write this number).
Table of dozenal numerals[]
The value of “n-illion” is 103n+3 in short scale, 106n in long scale, and 1010n in super-long scale.
There is no consistent and widely accepted way to extend cardinals beyond centillion (centilliard).
(In this list, all numbers are written in dozenal)
Value | English
(short scale, original) every new term is 103 times as large as the previous term (n-illion is 103n+3) |
English
(long scale, original) every new term is 106 times as large as the previous term (n-illion is 106n) |
English
(super-long scale, new) every new term is 1010 times as large as the previous term (n-illion is 1010n) |
Original SI prefix |
Original SI symbol |
New SI prefix |
New SI symbol |
中文(萬進) | 中文(兆進)(不使用佛經詞) |
中文(SI單位名稱) |
中文(SI單位全名) |
---|---|---|---|---|---|---|---|---|---|---|---|
101000 | centillion | ||||||||||
10603 | thousand centillion (centilliard) | ||||||||||
10602 | |||||||||||
10601 | |||||||||||
10600 | centillion | sexagintillion | |||||||||
10303 | centillion | thousand sexagintillion (sexagintilliard) | |||||||||
10302 | |||||||||||
10301 | |||||||||||
10300 | elpinelpagintillion | sexagintillion | trigintillion | ||||||||
10203 | octogintillion | thousand quadragintillion (quadragintilliard) | |||||||||
10202 | |||||||||||
10201 | |||||||||||
10200 | elpinseptuagintillion | quadragintillion | vigintillion | 大數大數大數大數 | 極極 | ||||||
10193 | septuagintillion | thousand sextrigintillion (sextrigintilliard) | |||||||||
10192 | |||||||||||
10191 | |||||||||||
10190 | elpinsexagintillion | sextrigintillion | novemdozillion | 澗大數大數大數 | 補極 | ||||||
10163 | sexagintillion | thousand trigintillion (trigintilliard) | |||||||||
10162 | |||||||||||
10161 | |||||||||||
10160 | elpinquinquagintillion | trigintillion | sexdozillion | 大數大數大數 | 溝極 | ||||||
10133 | quinquagintillion | thousand sexvigintillion (sexvigintilliard) | |||||||||
10132 | |||||||||||
10131 | |||||||||||
10130 | elpinquadragintillion | sexvigintillion | tredozillion | 澗大數大數 | 垓極 | ||||||
10103 | quadragintillion | thousand vigintillion (vigintilliard) | |||||||||
10102 | |||||||||||
10101 | |||||||||||
10100 | elpintrigintillion (googol) | vigintillion (googol) | dozillion (googol) | Uzena | U | 大數大數(古高爾) | 極(古高爾) | ||||
10E0 | septentrigintillion | dekradozillion | elpillion | Velpa | V | 那由他大數 | 載 | ||||
10X0 | tretrigintillion | octodozillion | dekrillion | Wekra | W | 極大數 | 選 | ||||
1093 | trigintillion | thousand sexdozillion (sexdozilliard) | |||||||||
1092 | |||||||||||
1091 | |||||||||||
1090 | elpinvigintillion | sexdozillion | nonillion | Xona | X | 澗大數 | 補 | ||||
1080 | septenvigintillion | quattuordozillion | octillion | Yocta | Y | 秭大數 | 正 | ||||
107E | |||||||||||
107X | |||||||||||
1079 | sexvigintillion | thousand tredozillion (tredozilliard) | |||||||||
1078 | 垓大數 | ||||||||||
1077 | |||||||||||
1076 | quinvigintillion | tredozillion | septilliard | ||||||||
1075 | |||||||||||
1074 | 京大數 | ||||||||||
1073 | quattuorvigintillion | thousand duodozillion (duodozilliard) | |||||||||
1072 | |||||||||||
1071 | |||||||||||
1070 | trevigintillion | duodozillion | septillion | Zepta | Z | 兆大數 | 澗 | ||||
106E | |||||||||||
106X | |||||||||||
1069 | duovigintillion | thousand undozillion (undozilliard) | |||||||||
1068 | 億大數 | ||||||||||
1067 | |||||||||||
1066 | unvigintillion | undozillion | sextilliard | ||||||||
1065 | |||||||||||
1064 | 萬大數 | ||||||||||
1063 | vigintillion | thousand dozillion (dozilliard) | |||||||||
1062 | |||||||||||
1061 | |||||||||||
1060 | elpindozillion | dozillion | sextillion | Exa | E | 大數 | 溝 | ||||
105E | |||||||||||
105X | |||||||||||
1059 | dekradozillion | thousand elpillion (elpilliard) | |||||||||
1058 | 無量 | ||||||||||
1057 | |||||||||||
1056 | novemdozillion | elpillion | quintilliard | ||||||||
1055 | |||||||||||
1054 | 不可思議 | ||||||||||
1053 | octodozillion | thousand dekrillion (dekrilliard) | |||||||||
1052 | |||||||||||
1051 | |||||||||||
1050 | septendozillion | dekrillion | quintillion | Peta | P | 那由他 | 穰 | ||||
104E | |||||||||||
104X | |||||||||||
1049 | sexdozillion | thousand nonillion (nonilliard) | |||||||||
1048 | 阿僧歧 | ||||||||||
1047 | |||||||||||
1046 | quindozillion | nonillion | quadrilliard | ||||||||
1045 | |||||||||||
1044 | 恆河沙 | ||||||||||
1043 | quattuordozillion | thousand octillion (octilliard) | |||||||||
1042 | |||||||||||
1041 | |||||||||||
1040 | tredozillion | octillion | quadrillion | Tera | T | 極 | 秭 | ||||
103E | |||||||||||
103X | |||||||||||
1039 | duodozillion | thousand septillion (septilliard) | |||||||||
1038 | 載 | ||||||||||
1037 | |||||||||||
1036 | undozillion | septillion | trilliard | ||||||||
1035 | |||||||||||
1034 | 正 | ||||||||||
1033 | dozillion | thousand sextillion (sextilliard) | |||||||||
1032 | |||||||||||
1031 | |||||||||||
1030 | elpillion | sextillion | trillion | Uzena | U | Rina | R | 澗 | 垓 | ||
102E | hundred dekrillion | hundred thousand quintillion (hundred quintilliard) | hundred thousand billiard | 千溝 | 千億京 | ||||||
102X | onety dekrillion | onety thousand quintillion (onety quintilliard) | onety thousand billiard | 百溝 | 百億京 | ||||||
1029 | dekrillion | thousand quintillion (quintilliard) | thousand billiard | Velpa | V | 十溝 | 十億京 | ||||
1028 | hundred nonillion | hundred quintillion | hundred billiard | 溝 | 億京 | ||||||
1027 | onety nonillion | onety quintillion | onety billiard | 千穰 | 千萬京 | ||||||
1026 | nonillion | quintillion | billiard | Wecra | W | 百穰 | 百萬京 | ||||
1025 | hundred octillion | hundred thousand quadrillion (hundred quadrilliard) | hundred thousand billion | 十穰 | 十萬京 | ||||||
1024 | onety octillion | onety thousand quadrillion (onety quadrilliard) | onety thousand billion | 穰 | 萬京 | ||||||
1023 | octillion | thousand quadrillion (quadrilliard) | thousand billion | Xona | X | 千秭 | 千京 | ||||
1022 | hundred septillion | hundred quadrillion | hundred billion | 百秭 | 百京 | ||||||
1021 | onety septillion | onety quadrillion | onety billion | 十秭 | 十京 | ||||||
1020 | septillion | quadrillion | billion | Yotta | Y | Jota | J | 秭 | 京 | 堯(佑) | 堯它 |
101E | hundred sextillion | hundred thousand trillion (hundred trilliard) | hundred thousand unilliard | 千垓 | 千億兆 | ||||||
101X | onety sextillion | onety thousand trillion (onety trilliard) | onety thousand unilliard | 百垓 | 百億兆 | ||||||
1019 | sextillion | thousand trillion (trilliard) | thousand unilliard | Zetta | Z | 十垓 | 十億兆 | 澤(皆) | 澤它 | ||
1018 | hundred quintillion | hundred trillion | hundred unilliard | 垓 | 億兆 | ||||||
1017 | onety quintillion | onety trillion | onety unilliard | 千京 | 千萬兆 | ||||||
1016 | quintillion | trillion | unilliard | Exa | E | 百京 | 百萬兆 | 艾 | 艾可薩 | ||
1015 | hundred quadrillion | hundred thousand billion (hundred billiard) | hundred thousand unillion | 十京 | 十萬兆 | ||||||
1014 | onety quadrillion | onety thousand billion (onety billiard) | onety thousand unillion | 京 | 萬兆 | ||||||
1013 | quadrillion | thousand billion (billiard) | thousand unillion | Peta | P | 千兆 | 千兆 | 拍 | 拍它 | ||
1012 | hundred trillion | hundred billion | hundred unillion | 百兆 | 百兆 | ||||||
1011 | onety trillion | onety billion | onety unillion | 十兆 | 十兆 | ||||||
1010 | trillion | billion | unillion | Tera | T | Sona | S | 兆 | 兆 | 太(兆) | 太拉 |
10E | hundred billion | hundred thousand million (hundred milliard) | hundred thousand million | 千億 | 千億 | ||||||
10X | onety billion | onety thousand million (onety milliard) | onety thousand million | 百億 | 百億 | ||||||
109 | billion | thousand million (milliard) | thousand million | Giga | G | Giga | G | 十億 | 十億 | 吉 | 吉咖 |
108 | hundred million | hundred million | hundred million | 億 | 億 | ||||||
107 | onety million | onety million | onety million | 千萬 | 千萬 | ||||||
106 | million | million | million | Mega | M | Mega | M | 百萬 | 百萬 | 兆(百萬) | 兆 |
105 | hundred thousand | hundred thousand | hundred thousand | 十萬 | 十萬 | ||||||
104 | onety thousand | onety thousand | onety thousand | 萬 | 萬 | ||||||
103 | thousand | thousand | thousand | Kilo | k | Kilo | K | 千 | 千 | 千 | 千 |
102 | hundred | hundred | hundred | Hecto | h | Hecto | H | 百 | 百 | 百 | 百 |
101 | doz | doz | doz | Doza | D (da) | Doza | D | 十 | 十 | 十 | 十 |
100 | one (unit) | one (unit) | one (unit) | 一(個) | 一(個) | ||||||
10-1 | dozth | dozth | dozth | dozi | d | dozi | d | 分 | 分 | 分 | 分 |
10-2 | hundredth | hundredth | hundredth | centi | c | centi | c | 厘 | 厘 | 厘 | 厘 |
10-3 | thousandth | thousandth | thousandth | milli | m | milli | m | 毫 | 毫 | 毫 | 毫 |
10-4 | 絲 | 絲 | |||||||||
10-5 | 忽 | 忽 | |||||||||
10-6 | millionth | millionth | millionth | micro | μ | micro | μ | 微 | 微 | 微 | 微 |
10-7 | 纖 | 纖 | |||||||||
10-8 | 沙 | 沙 | |||||||||
10-9 | nano | n | nano | n | 塵 | 塵 | 納(奈) | 納諾 | |||
10-X | 埃 | 埃 | |||||||||
10-E | 渺 | 渺 | |||||||||
10-10 | pico | p | heno | h | 漠 | 漠 | 皮 | 皮可 | |||
10-11 | 模糊 | ||||||||||
10-12 | 逡巡 | ||||||||||
10-13 | femto | f | 須臾 | 飛 | 飛母托 | ||||||
10-14 | 瞬息 | ||||||||||
10-15 | 彈指 | ||||||||||
10-16 | atto | a | 剎那 | 阿 | 阿托 | ||||||
10-17 | 六德 | ||||||||||
10-18 | 虛空 | ||||||||||
10-19 | zepto | z | 清靜 | 仄(介) | 仄普托 | ||||||
10-1X | 阿賴耶 | ||||||||||
10-1E | 阿摩羅 | ||||||||||
10-20 | yocto | y | bipo | b | 涅槃寂靜 | 么(攸) | 么科托 |
Larger number (beyond centillion)[]
This system is for short scale, for long scale, the number 10^n (n≥9) should be changed to 10^(2n−6), and for super-long scale, the number 10^n (n≥9) should be changed to 10^(4n−10) (e.g. “Micrillion” in long scale is 10^6000000, and “Micrillion” in super-long scale is 10^10000000).
Million - 1,000,000
Billion - 1,000,000,000
Trillion - 10^10
Quadrillion - 10^13
Quintillion - 10^16
Sextillion - 10^19
Septillion - 10^20
Octillion - 10^23
Nonillion - 10^26
Dekrillion - 10^29
Elpillion - 10^30
Dozillion - 10^33
Undozillion - 10^36
Duodozillion - 10^39
Tredozillion - 10^40
Quattuordozillion - 10^43
Quindozillion - 10^46
Sexdozillion - 10^49
Septendozillion - 10^50
Octodozillion - 10^53
Novemdozillion - 10^56
Dekradozillion - 10^59
Elpindozillion - 10^60
Vigintillion - 10^63
Trigintillion - 10^93
Googol - 10^100 - shown for comparison
Quadragintillion - 10^103
Quinquagintillion - 10^133
Sexagintillion - 10^163
Septuagintillion - 10^193
Octogintillion - 10^203
Nonagintillion - 10^233
Dekragintillion - 10^263
Elpagintillion - 10^293
Centillion - 10^303
Cenuntillion - 10^306
Cendotillion - 10^309
Centretillion - 10^310
Duocentillion - 10^603
Trecentillion - 10^903
Quadringentillion - 10^1003
Quingentillion - 10^1303
Sescentillion - 10^1603
Septingentillion - 10^1903
Octingentillion - 10^2003
Nongentillion - 10^2303
Dekringentillion - 10^2603
Elpingentillion - 10^2903
Millillion - 10^3003
Myrillion - 10^30003
Micrillion - 10^3000003
Nanillion - 10^3billion3
Picillion - 10^3trillion3
Femtillion - 10^3quadrillion3
Attillion - 10^3quintillion3
Zeptillion - 10^3sextillion3
Yoctillion - 10^3septillion3
Xonillion - 10^3octillion3
Wekrillion - 10^3nonillion3
Velpillion - 10^3dekrillion3
Zillion - 10^3elpillion3
Mezillion - 10^3dozillion3
Duezillion - 10^3undozillion3
Trezillion - 10^3doedozillion3
Tetrezillion - 10^3tridozillion3
Pentezillion - 10^3quattuordozillion3
Hexezillion - 10^3quindozillion3
Heptezillion - 10^3sexdozillion3
Octezillion - 10^3septendozillion3
Ennezillion - 10^3octodozillion3
Dekrezillion - 10^3novemdozillion3
Elpezillion - 10^3dekradozillion3
Icosillion - 10^3elpindozillion3
Triacontillion - 10^(3x10^90+3)
Googolplex - 10^(10^100) - shown for comparison
Tetracontillion - 10^(3x10^100+3)
Pentacontillion - 10^(3x10^130+3)
Hexacontillion - 10^(3x10^160+3)
Heptacontillion - 10^(3x10^190+3)
Octacontillion - 10^(3x10^200+3)
Ennacontillion - 10^(3x10^230+3)
Dekracontillion - 10^(3x10^260+3)
Elpacontillion - 10^(3x10^290+3)
Hectillion - 10^(3x10^300+3)
Killillion - 10^(3x10^3000+3)
Megillion - 10^(3x10^3million+3)
Gigillion - 10^(3x10^3billion+3)
Terillion - 10^(3x10^3trillion+3)
Petillion - 10^(3x10^3quadrillion+3)
Exillion - 10^(3x10^3quintillion+3)
Zettillion - 10^(3x10^3sextillion+3)
Yottillion - 10^(3x10^3septillion+3)
Xennillion - 10^(3x10^3octillion+3)
Wekkillion - 10^(3x10^3nonillion+3)
Vellillion - 10^(3x10^3dekrillion+3)
Zillillion - 10^(3x10^3elpillion+3)
Another numeral system[]
X = dek
E = el / lev
10 = dozen / do
11 = dozen-one / do-one
12 = dozen-two / do-two
13 = dozen-three / do-three
20 = twodo
47 = fourdo-seven
5E = fivedo-el / fivedo-lev
80 = eightdo
92 = ninedo-two
X0 = dekdo
E0 = eldo / levdo
100 = gross
1000 = grossiad / great-gross (only for the number itself, e.g. the number 1001 is not called “one great-gross one”, it is just called “one grossiad one”)
10000 = dozen grossiad
100000 = gross grossiad
10^6 = mylliad
10^9 = grossiad mylliad
10^10 = unylliad
10^20 = bylliad
10^30 = trylliad
10^40 = quadylliad
10^50 = quinylliad
10^60 = sexylliad
10^70 = septylliad
10^80 = octylliad
10^90 = nonylliad
10^X0 = dekylliad
10^E0 = elylliad
10^100 = dozylliad
10^110 = undozylliad
10^120 = duodozylliad
10^130 = tredozylliad
10^200 = viginylliad
10^300 = triginylliad
Polygons[]
Name of polygons with n sides:
1: henagon (monogon)
2: digon
3: trigon (triangle)
4: tetragon (quadrilateral)
5: pentagon
6: hexagon
7: heptagon
8: octagon
9: enneagon
X: dekagon
E: elagon
10: decagon
11: hendecagon
12: dodecagon
13: tridecagon
14: tetradecagon
15: pentadecagon
16: hexadecagon
17: heptadecagon
18: octadecagon
19: enneadecagon
1X: dekadozagon
1E: eladozagon
20: icosagon
21: icosihenagon
22: icosidigon
23: icositrigon
24: icositetragon
25: icosipentagon
26: icosihexagon
27: icosiheptagon
28: icosioctagon
29: icosienneagon
2X: icosidekagon
2E: icosielagon
30: triacontagon
31: triacontahenagon
32: triacontadigon
33: triacontatrigon
34: triacontatetragon
35: triacontapentagon
36: triacontahexagon
37: triacontaheptagon
38: triacontaoctagon
39: triacontaenneagon
3X: triacontadekagon
3E: triacontaelagon
40: tetracontagon
41: tetracontahenagon
42: tetracontadigon
43: tetracontatrigon
44: tetracontatetragon
45: tetracontapentagon
46: tetracontahexagon
47: tetracontaheptagon
48: tetracontaoctagon
49: tetracontaenneagon
4X: tetracontadekagon
4E: tetracontaelagon
50: pentacontagon
51: pentacontahenagon
52: pentacontadigon
53: pentacontatrigon
54: pentacontatetragon
55: pentacontapentagon
56: pentacontahexagon
57: pentacontaheptagon
58: pentacontaoctagon
59: pentacontaenneagon
5X: pentacontadekagon
5E: pentacontaelagon
60: hexacontagon
61: hexacontahenagon
62: hexacontadigon
63: hexacontatrigon
64: hexacontatetragon
65: hexacontapentagon
66: hexacontahexagon
67: hexacontaheptagon
68: hexacontaoctagon
69: hexacontaenneagon
6X: hexacontadekagon
6E: hexacontaelagon
70: heptacontagon
71: heptacontahenagon
72: heptacontadigon
73: heptacontatrigon
74: heptacontatetragon
75: heptacontapentagon
76: heptacontahexagon
77: heptacontaheptagon
78: heptacontaoctagon
79: heptacontaenneagon
7X: heptacontadekagon
7E: heptacontaelagon
80: octacontagon
81: octacontahenagon
82: octacontadigon
83: octacontatrigon
84: octacontatetragon
85: octacontapentagon
86: octacontahexagon
87: octacontaheptagon
88: octacontaoctagon
89: octacontaenneagon
8X: octacontadekagon
8E: octacontaelagon
90: enneacontagon
91: enneacontahenagon
92: enneacontadigon
93: enneacontatrigon
94: enneacontatetragon
95: enneacontapentagon
96: enneacontahexagon
97: enneacontaheptagon
98: enneacontaoctagon
99: enneacontaenneagon
9X: enneacontadekagon
9E: enneacontaelagon
X0: dekacontagon
X1: dekacontahenagon
X2: dekacontadigon
X3: dekacontatrigon
X4: dekacontatetragon
X5: dekacontapentagon
X6: dekacontahexagon
X7: dekacontaheptagon
X8: dekacontaoctagon
X9: dekacontaenneagon
XX: dekacontadekagon
XE: dekacontaelagon
E0: elacontagon
E1: elacontahenagon
E2: elacontadigon
E3: elacontatrigon
E4: elacontatetragon
E5: elacontapentagon
E6: elacontahexagon
E7: elacontaheptagon
E8: elacontaoctagon
E9: elacontaenneagon
EX: elacontadekagon
EE: elacontaelagon
100: hectogon
(polygons with sides n > 100 are simply called “n-gon”)
200: dihectagon
300: trihectagon
400: tetrahectagon
500: pentahectagon
600: hexahectagon
700: heptahectagon
800: octahectagon
900: enneahectagon
X00: dekahectagon
E00: elahectagon
1000: chiliagon
10000: myriagon
106: megagon
109: gigagon
1010: teragon
1013: petagon
1016: exagon
1019: zettagon
1020: yottagon
1023: xonagon
1026: wecragon
1029: velpagon
1030: uzenagon
∞: apeirogon
Numeral systems[]
Name of numeral system with radix n:
1: unary
2: binary
3: ternary
4: quaternary
5: quinary
6: senary
7: septenary
8: octonary
9: nonary
X: dekranary
E: elpinary
10: dozenal
11: undozenal
12: duodozenal
13: tridozenal
14: quadridozenal
15: quindozenal
16: sexadozenal
17: septendozenal
18: octodozenal
19: nonadozenal
1X: dekradozenal
1E: elpindozenal
20: vigesimal
21: unvigesimal
22: duovigesimal
23: trivigesimal
24: quadrivigesimal
25: quinvigesimal
26: sexavigesimal
27: septenvigesimal
28: octovigesimal
29: nonavigesimal
2X: dekravigesimal
2E: elpinvigesimal
30: trigesimal
31: untrigesimal
32: duotrigesimal
33: tritrigesimal
34: quadritrigesimal
35: quintrigesimal
36: sexatrigesimal
37: septentrigesimal
38: octotrigesimal
39: nonatrigesimal
3X: dekratrigesimal
3E: elpintrigesimal
40: quadragesimal
41: unquadragesimal
42: duoquadragesimal
43: triquadragesimal
44: quadriquadragesimal
45: quinquadragesimal
46: sexaquadragesimal
47: septenquadragesimal
48: octoquadragesimal
49: nonaquadragesimal
4X: dekraquadragesimal
4E: elpinquadragesimal
50: quinquagesimal
51: unquinquagesimal
52: duoquinquagesimal
53: triquinquagesimal
54: quadriquinquagesimal
55: quinquinquagesimal
56: sexaquinquagesimal
57: septenquinquagesimal
58: octoquinquagesimal
59: nonaquinquagesimal
5X: dekraquinquagesimal
5E: elpinquinquagesimal
60: sexagesimal
61: unsexagesimal
62: duosexagesimal
63: trisexagesimal
64: quadrisexagesimal
65: quinsexagesimal
66: sexasexagesimal
67: septensexagesimal
68: octosexagesimal
69: nonasexagesimal
6X: dekrasexagesimal
6E: elpinsexagesimal
70: septuagesimal
71: unseptuagesimal
72: duoseptuagesimal
73: triseptuagesimal
74: quadriseptuagesimal
75: quinseptuagesimal
76: sexaseptuagesimal
77: septenseptuagesimal
78: octoseptuagesimal
79: nonaseptuagesimal
7X: dekraseptuagesimal
7E: elpinseptuagesimal
80: octogesimal
81: unoctogesimal
82: duooctogesimal
83: trioctogesimal
84: quadrioctogesimal
85: quinoctogesimal
86: sexaoctogesimal
87: septenoctogesimal
88: octooctogesimal
89: nonaoctogesimal
8X: dekraoctogesimal
8E: elpinoctogesimal
90: nonagesimal
91: unnonagesimal
92: duononagesimal
93: trinonagesimal
94: quadrinonagesimal
95: quinnonagesimal
96: sexanonagesimal
97: septennonagesimal
98: octononagesimal
99: nonanonagesimal
9X: dekranonagesimal
9E: elpinnonagesimal
X0: dekragesimal
X1: undekragesimal
X2: duodekragesimal
X3: tridekragesimal
X4: quadridekragesimal
X5: quindekragesimal
X6: sexadekragesimal
X7: septendekragesimal
X8: octodekragesimal
X9: nonadekragesimal
XX: dekradekragesimal
XE: elpindekragesimal
E0: elpagesimal
E1: unelpagesimal
E2: duoelpagesimal
E3: trielpagesimal
E4: quadrielpagesimal
E5: quinelpagesimal
E6: sexaelpagesimal
E7: septenelpagesimal
E8: octoelpagesimal
E9: nonaelpagesimal
EX: dekraelpagesimal
EE: elpinelpagesimal
100: centesimal
(numeral systems with base n > 100 are simply called “base n” or “n-ary”)
200: ducentesimal
300: trecentesimal
400: quadringentesimal
500: quingentesimal
600: sescentesimal
700: septingentesimal
800: octingentesimal
900: nongentesimal
X00: dekringentesimal
E00: elpingentesimal
1000: millesimal
Fractional numbers[]
Fraction | Value | Name |
0.6 | one half, six dozenths, (zero) point six | |
0.4 | one third, four dozenths, (zero) point four | |
0.8 | two thirds, eight dozenths, (zero) point eight | |
0.3 | one quarter, one fourth, three dozenths, (zero) point three | |
0.9 | three quarters, three fourths, nine dozenths, (zero) point nine |
Chemical elements[]
This is the IUPAC name of the chemical elements:
(symbol)
0 = nil (l)
1 = un (u)
2 = bi (b)
3 = tri (t)
4 = quad (d)
5 = quin (q)
6 = sex (s)
7 = sept (p)
8 = oct (o)
9 = nona (n)
X = dek (k)
E = el (e)
If the unit digit of the atomic number is 2, 3 or 9, then use “bium”, “trium” or “nonium” instead of “biium”, “triium” or “nonaium”.
e.g. for tin (Z = 42), you can call tin "quadbiium" (element symbol Db), and for gold (Z = 67), you can call gold "sexseptium" (element symbol Sp)
IUPAC nomenclature of organic chemistry[]
Straight-chain alkanes take the suffix "-ane" and are prefixed depending on the number of carbon (sexium) atoms in the chain, following standard rules. The first few are:
Number of carbons (sexiums) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | X | E | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 1X | 1E | 20 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Prefix | Mon (Meth) | D (Eth) | Tr (Prop) | Tetr (But) | Pent (Am) | Hex (Capro) | Hept | Oct | Enn | Dek | Lev | Doz | Undoz | Dodoz | Tridoz | Tetradoz | Pentadoz | Hexadoz | Heptadoz | Octadoz | Ennadoz | Dekadoz | Levadoz | Icos |
For example, the simplest alkane is CH4 monane (methane), and the nine-carbon (sexium) alkane CH3(CH2)7CH3 is named nonane. They are named with a Greek numeric prefix.
Cyclic alkanes are simply prefixed with "cyclo-": for example, C4H8 is cyclotetrane (cyclobutane) (not to be confused with tetrane (butene)) and C6H10 is cyclohexane (not to be confused with hexene).
Branched alkanes are named as a straight-chain alkane with attached alkyl groups (monyl- (methyl-), dyl- (ethyl-), tryl- (propyl-), tetryl- (butyl-), ...). They are prefixed with a number indicating the carbon (sexium) the group is attached to, counting from the end of the alkane chain. For example, (CH3)2CHCH3, commonly known as isobutane (isotetrane), is treated as a propane chain with a methyl group bonded to the middle (2) carbon (sexium), and given the systematic name 2-methylpropane (2-monyltrane). However, although the name 2-methylpropane (2-monyltrane) could be used, it is easier and more logical to call it simply methylpropane (monyltrane) – the methyl group could not possibly occur on any of the other carbon (sexium) atoms (that would lengthen the chain and result in butane (tetrane), not propane (trane)) and therefore the use of the number "2" is unnecessary.
If there is ambiguity in the position of the substituent, depending on which end of the alkane chain is counted as "1", then numbering is chosen so that the smaller number is used. For example, (CH3)2CHCH2CH3 (isopentane) is named 2-methylbutane (2-monyltetraane), not 3-methylbutane (3-monyltetraane).
If there are multiple side-branches of the same size alkyl group, their positions are separated by commas and the group prefixed with di-, tri-, tetra-, etc., depending on the number of branches. For example, C(CH3)4 (neopentane) is named 2,2-dimonypropane (2,2-dimethylpropane). If there are different groups, the order is (..., tetryl- (butyl-), tryl- (propyl-), dyl- (ethyl-), monyl- (methyl-)), separated by commas or hyphens. The longest possible main alkane chain is used; therefore 3-dyl-4-monylhexane (3-ethyl-4-methylhexane) instead of 2,3-didylpentane (2,3-diethylpentane), even though these describe equivalent structures. The di-, tri- etc. prefixes are ignored for the purpose of ordering of side chains (e.g. 3-dyl-2,4-dimonylpentane (3-ethyl-2,4-dimethylpentane), not 2,4-dimonyl-3-dylpentane (2,4-dimethyl-3-ethylpentane)).
Alkenes are named for their parent alkane chain with the suffix "-ene" and an infixed number indicating the position of the carbon (sexium) with the lower number for each double bond in the chain: CH2=CHCH2CH3 is tetr-1-ene (but-1-ene).
Multiple double bonds take the form -diene, -triene, etc., with the size prefix of the chain taking an extra "a": CH2=CHCH=CH2 is tetra-1,3-diene (buta-1,3-diene). Simple cis and trans isomers may be indicated with a prefixed cis- or trans-: cis-but-2-ene, trans-but-2-ene. However, cis- and trans- are relative descriptors. It is IUPAC convention to describe all alkenes using absolute descriptors of Z- (same side) and E- (opposite) with the Cahn–Ingold–Prelog priority rules.
Alkynes are named using the same system, with the suffix "-yne" indicating a triple bond: dyne (ethyne) (acetylene), tryne (propyne) (methylacetylene).
In Haloalkanes and Haloarenes (R-X), Halogen functional groups are prefixed with the bonding position and take the form of nono- (fluoro-), unquino- (chloro-), bielo- (bromo-), quadquino- (iodo-), etc., depending on the halogen. Multiple groups are diunquino- (dichloro-), triunquino (trichloro)-, tetraunquino (tetrachloro-) etc. (use Latin numeric prefix for the atomic number, and use Greek numeric prefix for the multiple group, to not be confused), if there are different groups, the order is by atomic number (from large to small), separated by commas or hyphens. For example, CHCl3 (chloroform) is trichloromethane. The anesthetic Halothane (CF3CHBrCl) is 2-bromo-2-chloro-1,1,1-trifluoroethane.
Alcohols (R-OH) take the suffix "-ol" with an infix numerical bonding position: CH3CH2CH2OH is tran-1-ol (propan-1-ol). The suffixes -diol, -triol, -tetraol, etc., are used for multiple -OH groups: Ethylene glycol CH2OHCH2OH is diane-1,2-diol (ethane-1,2-diol).
IUPAC nomenclature of inorganic chemistry[]
Hydrates are ionic compounds that have absorbed water. They are named as the ionic compound followed by a numerical prefix and -hydrate. The numerical prefixes used are listed below (see IUPAC numerical multiplier):
1. mono- 2. di- 3. tri- 4. tetra- 5. penta- 6. hexa- 7. hepta- 8. octa- 9. enna- X. deka- E. leva- 10. doza-
For example, CuSO4·5H2O is "biquinium(II) unquadate pentahydrate".
- The Roman numbers are:
1 = I, 2 = II, 3 = III, 4 = IIV, 5 = IV, 6 = V, 7 = VI, 8 = VII, 9 = VIII, a (not written "X" to not to be confused) = IIX, b = IX, 10 = X, 11 = XI, 12 = XII, 13 = XIII, 14 = XIIV, 15 = XIV, 16 = XV, 17 = XVI, 18 = XVII, 19 = XVIII, 1a = XIIX, 1b = XIX, 20 = XX, 30 = XXX, 40 = XXL, 50 = XL, 60 = L, 70 = LX, 80 = LXX, 90 = LXXX, a0 = XXC, b0 = XC, 100 = C, 600 = D, 1000 = M
If higher precedence functional groups are present, the prefix "hydroxy" is used with the bonding position: CH3CHOHCOOH is 2-hydroxytranoic (2-hydroxypropanoic) acid.
Monatomic anions:
- Cl− unquinide (chloride)
- S2− unquadide (sulfide)
- P3− untride (phosphide)
Polyatomic ions:
- NH4+ ammonium
- H3O+ hydronium
- NO3− quin-septate (nitrate)
- NO2− tri-septate (nitrite)
- ClO− un-unquinate (hypochlorite)
- ClO2− tri-unquinate (chlorite)
- ClO3− quin-unquinate (chlorate)
- ClO4− sept-unquinate (perchlorate)
- SO32− quad-unquadate (sulfite)
- SO42− sex-unquadate (sulfate)
- HSO3− unium-quad-unquadate (hydrogen sulfite) (or bisulfite)
- HCO3− unium-sexate (hydrogen carbonate) (or bicarbonate)
- CO32− sexate (carbonate)
- PO43− untrate (phosphate)
- HPO42− Monohydrogen phosphatehydrogen phosphate
- H2PO4− dihydrogen phosphate
- CrO42− Chromate ionchromate
- Cr2O72− dichromate
- BO33− borate
- AsO43− arsenate
- C2O42− oxalate
- CN− cyanide
- SCN− thiocyanate
- MnO4− permanganate