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 , 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
^ MacLean (2014) Iñupiatun Uqaluit Taniktun Sivuninit / Iñupiaq to English Dictionary , p. 840 ff