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.[1] (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
|
[a]
|
|
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
|
References
- ^ MacLean (2014) Iñupiatun Uqaluit Taniktun Sivuninit / Iñupiaq to English Dictionary, p. 840 ff