The Iñupiaq language has a vigesimal (base-20) numeral system, with words for numerals up to 2012 (a bit over 4 quadrillion). Numerals are built from a small number of root words and a number of compounding suffixes. The following list are the various numerals of the language, omitting only the higher derivatives ending in the suffix -utaiḷaq, which subtracts one from the value of the stem. (See Iñupiaq language#Numerals.) They are transcribed both in the vigesimal Kaktovik digits that were designed for Iñupiaq and in the decimal Hindu-Arabic digits. Apart from the subtractive suffix -utaiḷaq, which has no counterpart in Kaktovik notation, and the idiosyncratic root word itchaksrat 'six', Iñupiaq numerals are closely represented by the Kaktovik digits.
Units (n × 200)
| Numeral |
Morphological
pattern |
Kaktovik
notation |
Hindu-Arabic
notation |
|---|
| kisitchisaġvik |
|
|
0 |
| atausiq |
1 |
|
1 |
| malġuk |
2 |
|
2 |
| piŋasut |
3 |
|
3 |
| sisamat |
4 |
|
4 |
| tallimat |
5 |
|
5 |
| itchaksrat |
6 |
|
6 |
| tallimat malġuk |
5 + 2 |
|
7 |
| tallimat piŋasut |
5 + 3 |
|
8 |
| quliŋŋuġutaiḷaq |
10 − 1 |
|
9 |
| qulit |
10 |
|
10 |
| qulit atausiq |
10 + 1 |
|
11 |
| qulit malġuk |
10 + 2 |
|
12 |
| qulit piŋasut |
10 + 3 |
|
13 |
| akimiaġutaiḷaq |
15 − 1 |
|
14 |
| akimiaq |
15 |
|
15 |
| akimiaq atausiq |
15 + 1 |
|
16 |
| akimiaq malġuk |
15 + 2 |
|
17 |
| akimiaq piŋasut |
15 + 3 |
|
18 |
| iñuiññaġutaiḷaq |
20 − 1 |
|
19 |
| iñuiññaq |
20 |
|
20 |
| iḷagiññaq |
400 |
|
400 |
- ↑ A deverbal noun. Outside of mathematics, suitchuq "none" or suitchuq X "no X" is normally used.
n-kipiaq (n × 201)
| malġukipiaq |
2×20 |
|
40 |
| piŋasukipiaq |
3×20 |
|
60 |
| sisamakipiaq |
4×20 |
|
80 |
| tallimakipiaq |
5×20 |
|
100 |
| tallimakipiaq iñuiññaq |
5×20 + 20 |
|
120 |
| tallimakipiaq malġukipiaq |
5×20 + 2×20 |
|
140 |
| tallimakipiaq piŋasukipiaq |
5×20 + 3×20 |
|
160 |
| tallimakipiaq sisamakipiaq |
5×20 + 4×20 |
|
180 |
| qulikipiaq |
10×20 |
|
200 |
| qulikipiaq iñuiññaq |
10×20 + 20 |
|
220 |
| qulikipiaq malġukipiaq |
10×20 + 2×20 |
|
240 |
| qulikipiaq piŋasukipiaq |
10×20 + 3×20 |
|
260 |
| qulikipiaq sisamakipiaq |
10×20 + 4×20 |
|
280 |
| akimiakipiaq |
15×20 |
|
300 |
| akimiakipiaq iñuiññaq |
15×20 + 20 |
|
320 |
| akimiakipiaq malġukipiaq |
15×20 + 2×20 |
|
340 |
| akimiakipiaq piŋasukipiaq |
15×20 + 3×20 |
|
360 |
| akimiakipiaq sisamakipiaq |
15×20 + 4×20 |
|
380 |
iñuiññakipiaq
(= iḷagiññaq above) |
20×20
[= 202] |
|
400 |
n-agliaq (n × 202)
| malġuagliaq |
2×202 |
|
800 |
| piŋasuagliaq |
3×202 |
|
1,200 |
| sisamaagliaq |
4×202 |
|
1,600 |
| tallimaagliaq |
5×202 |
|
2,000 |
| quliagliaq |
10×202 |
|
4,000 |
| akimiagliaq |
15×202 |
|
6,000 |
n-pak (n × 203)
| atausiqpak |
1×203 [= 203] |
, |
8,000 |
| malġuqpak |
2×203 |
, |
16,000 |
| piŋasuqpak |
3×203 |
, |
24,000 |
| sisamaqpak |
4×203 |
, |
32,000 |
| tallimaqpak |
5×203 |
, |
40,000 |
| quliqpak |
10×203 |
, |
80,000 |
| akimiaqpak |
15×203 |
, |
120,000 |
| iñuiññaqpak |
20×203 [= 204] |
, |
160,000 |
n-kipiaq-pak (n × 204)
| malġukipiaqpak |
2×20×203 |
, |
320,000 |
| piŋasukipiaqpak |
3×20×203 |
, |
480,000 |
| sisamakipiaqpak |
4×20×203 |
, |
640,000 |
| tallimakipiaqpak |
5×20×203 |
, |
800,000 |
| qulikipiaqpak |
10×20×203 |
, |
1,600,000 |
| akimiakipiaqpak |
15×20×203 |
, |
2,400,000 |
n-pak (n × 203)
| iḷagiññaqpak |
400×203 [= 205] |
, |
3,200,000 |
n-agliaq-pak (n × 205)
| malġuagliaqpak |
2×202×203 |
, |
6,400,000 |
| piŋasuagliaqpak |
3×202×203 |
, |
9,600,000 |
| sisamaagliaqpak |
4×202×203 |
, |
12,800,000 |
| tallimaagliaqpak |
5×202×203 |
, |
16,000,000 |
| quliagliaqpak |
10×202×203 |
, |
32,000,000 |
| akimiagliaqpak |
15×202×203 |
, |
48,000,000 |
n-pakaippaq (n × 206)
| atausiqpakaippaq |
1×(203)2 [= 206] |
,, |
64,000,000 |
| malġuqpakaippaq |
2×(203)2 |
,, |
128,000,000 |
| piŋasuqpakaippaq |
3×(203)2 |
,, |
192,000,000 |
| sisamaqpakaippaq |
4×(203)2 |
,, |
256,000,000 |
| tallimaqpakaippaq |
5×(203)2 |
,, |
320,000,000 |
| quliqpakaippaq |
10×(203)2 |
,, |
640,000,000 |
| akimiaqpakaippaq |
15×(203)2 |
,, |
960,000,000 |
| iñuiññaqpakaippaq |
20×(203)2 [= 207] |
,, |
1,280,000,000 |
n-kipiaq-pakaippaq (n × 207)
| malġukipiaqpakaippaq |
2×20×(203)2 |
,, |
2,560,000,000 |
| piŋasukipiaqpakaippaq |
3×20×(203)2 |
,, |
3,840,000,000 |
| sisamakipiaqpakaippaq |
4×20×(203)2 |
,, |
5,120,000,000 |
| tallimakipiaqpakaippaq |
5×20×(203)2 |
,, |
6,400,000,000 |
| qulikipiaqpakaippaq |
10×20×(203)2 |
,, |
12,800,000,000 |
| akimiakipiaqpakaippaq |
15×20×(203)2 |
,, |
19,200,000,000 |
n-pakaippaq (n × 206)
| iḷagiññaqpakaippaq |
400×(203)2 [= 208] |
,, |
25,600,000,000 |
n-agliaq-pakaippaq (n × 208)
| malġuagliaqpakaippaq |
2×202×(203)2 |
,, |
51,200,000,000 |
| piŋasuagliaqpakaippaq |
3×202×(203)2 |
,, |
76,800,000,000 |
| sisamaagliaqpakaippaq |
4×202×(203)2 |
,, |
102,400,000,000 |
| tallimaagliaqpakaippaq |
5×202×(203)2 |
,, |
128,000,000,000 |
| quliagliaqpakaippaq |
10×202×(203)2 |
,, |
256,000,000,000 |
| akimiagliaqpakaippaq |
15×202×(203)2 |
,, |
384,000,000,000 |
n-pakpiŋatchaq (n × 209)
| atausiqpakpiŋatchaq |
1×(203)3 [= 209] |
,,, |
512,000,000,000 |
| malġuqpakpiŋatchaq |
2×(203)3 |
,,, |
1,024,000,000,000 |
| piŋasuqpakpiŋatchaq |
3×(203)3 |
,,, |
1,536,000,000,000 |
| sisamaqpakpiŋatchaq |
4×(203)3 |
,,, |
2,048,000,000,000 |
| tallimaqpakpiŋatchaq |
5×(203)3 |
,,, |
2,560,000,000,000 |
| quliqpakpiŋatchaq |
10×(203)3 |
,,, |
5,120,000,000,000 |
| akimiaqpakpiŋatchaq |
15×(203)3 |
,,, |
7,680,000,000,000 |
| iñuiññaqpakpiŋatchaq |
20×(203)3 [= 2010] |
,,, |
10,240,000,000,000 |
n-kipiaq-pakpiŋatchaq (n × 2010)
| malġukipiaqpakpiŋatchaq |
2×20×(203)3 |
,,, |
20,480,000,000,000 |
| piŋasukipiaqpakpiŋatchaq |
3×20×(203)3 |
,,, |
30,720,000,000,000 |
| sisamakipiaqpakpiŋatchaq |
4×20×(203)3 |
,,, |
40,960,000,000,000 |
| tallimakipiaqpakpiŋatchaq |
5×20×(203)3 |
,,, |
51,200,000,000,000 |
| qulikipiaqpakpiŋatchaq |
10×20×(203)3 |
,,, |
102,400,000,000,000 |
| akimiakipiaqpakpiŋatchaq |
15×20×(203)3 |
,,, |
153,600,000,000,000 |
n-pakpiŋatchaq (n × 209)
| iḷagiññaqpakpiŋatchaq |
400×(203)3 [= 2011] |
,,, |
204,800,000,000,000 |
n-agliaq-pakpiŋatchaq (n × 2011)
| malġuagliaqpakpiŋatchaq |
2×202×(203)3 |
,,, |
409,600,000,000,000 |
| piŋasuagliaqpakpiŋatchaq |
3×202×(203)3 |
,,, |
614,400,000,000,000 |
| sisamaagliaqpakpiŋatchaq |
4×202×(203)3 |
,,, |
819,200,000,000,000 |
| tallimaagliaqpakpiŋatchaq |
5×202×(203)3 |
,,, |
1,024,000,000,000,000 |
| quliagliaqpakpiŋatchaq |
10×202×(203)3 |
,,, |
2,048,000,000,000,000 |
| akimiagliaqpakpiŋatchaq |
15×202×(203)3 |
,,, |
3,072,000,000,000,000 |
| iñuiññagliaqpakpiŋatchaq |
20×202×(203)3 [= 2012] |
,,,, |
4,096,000,000,000,000 |
