Vigesimal numerals of Iñupiaq language
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 [ 1] 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 itchaksrat
Units (n × 200 )
Numeral
Morphological
Kaktovik Hindu-Arabic
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 suitchuq X
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 20×20 2 ]
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
