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The Iñupiaq language has a vigesimal (base-20) numeral system, with words for numerals up to 20 (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 × 20)

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

1. A deverbal noun. Outside of mathematics, suitchuq "none" or suitchuq X "no X" is normally used.

n-kipiaq (n × 20)

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		400

n-agliaq (n × 20)

malġuagliaq	2×20		800
piŋasuagliaq	3×20		1,200
sisamaagliaq	4×20		1,600
tallimaagliaq	5×20		2,000
quliagliaq	10×20		4,000
akimiagliaq	15×20		6,000

n-pak (n × 20)

atausiqpak	1×20	,	8,000
malġuqpak	2×20	,	16,000
piŋasuqpak	3×20	,	24,000
sisamaqpak	4×20	,	32,000
tallimaqpak	5×20	,	40,000
quliqpak	10×20	,	80,000
akimiaqpak	15×20	,	120,000
iñuiññaqpak	20×20	,	160,000

n-kipiaq-pak (n × 20)

malġukipiaqpak	2×20×20	,	320,000
piŋasukipiaqpak	3×20×20	,	480,000
sisamakipiaqpak	4×20×20	,	640,000
tallimakipiaqpak	5×20×20	,	800,000
qulikipiaqpak	10×20×20	,	1,600,000
akimiakipiaqpak	15×20×20	,	2,400,000

n-pak (n × 20)

iḷagiññaqpak

400×20

,

3,200,000

n-agliaq-pak (n × 20)

malġuagliaqpak	2×20×20	,	6,400,000
piŋasuagliaqpak	3×20×20	,	9,600,000
sisamaagliaqpak	4×20×20	,	12,800,000
tallimaagliaqpak	5×20×20	,	16,000,000
quliagliaqpak	10×20×20	,	32,000,000
akimiagliaqpak	15×20×20	,	48,000,000

n-pakaippaq (n × 20)

atausiqpakaippaq	1×(20)	,,	64,000,000
malġuqpakaippaq	2×(20)	,,	128,000,000
piŋasuqpakaippaq	3×(20)	,,	192,000,000
sisamaqpakaippaq	4×(20)	,,	256,000,000
tallimaqpakaippaq	5×(20)	,,	320,000,000
quliqpakaippaq	10×(20)	,,	640,000,000
akimiaqpakaippaq	15×(20)	,,	960,000,000
iñuiññaqpakaippaq	20×(20)	,,	1,280,000,000

n-kipiaq-pakaippaq (n × 20)

malġukipiaqpakaippaq	2×20×(20)	,,	2,560,000,000
piŋasukipiaqpakaippaq	3×20×(20)	,,	3,840,000,000
sisamakipiaqpakaippaq	4×20×(20)	,,	5,120,000,000
tallimakipiaqpakaippaq	5×20×(20)	,,	6,400,000,000
qulikipiaqpakaippaq	10×20×(20)	,,	12,800,000,000
akimiakipiaqpakaippaq	15×20×(20)	,,	19,200,000,000

n-pakaippaq (n × 20)

iḷagiññaqpakaippaq

400×(20)

,,

25,600,000,000

n-agliaq-pakaippaq (n × 20)

malġuagliaqpakaippaq	2×20×(20)	,,	51,200,000,000
piŋasuagliaqpakaippaq	3×20×(20)	,,	76,800,000,000
sisamaagliaqpakaippaq	4×20×(20)	,,	102,400,000,000
tallimaagliaqpakaippaq	5×20×(20)	,,	128,000,000,000
quliagliaqpakaippaq	10×20×(20)	,,	256,000,000,000
akimiagliaqpakaippaq	15×20×(20)	,,	384,000,000,000

n-pakpiŋatchaq (n × 20)

atausiqpakpiŋatchaq	1×(20)	,,,	512,000,000,000
malġuqpakpiŋatchaq	2×(20)	,,,	1,024,000,000,000
piŋasuqpakpiŋatchaq	3×(20)	,,,	1,536,000,000,000
sisamaqpakpiŋatchaq	4×(20)	,,,	2,048,000,000,000
tallimaqpakpiŋatchaq	5×(20)	,,,	2,560,000,000,000
quliqpakpiŋatchaq	10×(20)	,,,	5,120,000,000,000
akimiaqpakpiŋatchaq	15×(20)	,,,	7,680,000,000,000
iñuiññaqpakpiŋatchaq	20×(20)	,,,	10,240,000,000,000

n-kipiaq-pakpiŋatchaq (n × 20)

malġukipiaqpakpiŋatchaq	2×20×(20)	,,,	20,480,000,000,000
piŋasukipiaqpakpiŋatchaq	3×20×(20)	,,,	30,720,000,000,000
sisamakipiaqpakpiŋatchaq	4×20×(20)	,,,	40,960,000,000,000
tallimakipiaqpakpiŋatchaq	5×20×(20)	,,,	51,200,000,000,000
qulikipiaqpakpiŋatchaq	10×20×(20)	,,,	102,400,000,000,000
akimiakipiaqpakpiŋatchaq	15×20×(20)	,,,	153,600,000,000,000

n-pakpiŋatchaq (n × 20)

iḷagiññaqpakpiŋatchaq

400×(20)

,,,

204,800,000,000,000

n-agliaq-pakpiŋatchaq (n × 20)

malġuagliaqpakpiŋatchaq	2×20×(20)	,,,	409,600,000,000,000
piŋasuagliaqpakpiŋatchaq	3×20×(20)	,,,	614,400,000,000,000
sisamaagliaqpakpiŋatchaq	4×20×(20)	,,,	819,200,000,000,000
tallimaagliaqpakpiŋatchaq	5×20×(20)	,,,	1,024,000,000,000,000
quliagliaqpakpiŋatchaq	10×20×(20)	,,,	2,048,000,000,000,000
akimiagliaqpakpiŋatchaq	15×20×(20)	,,,	3,072,000,000,000,000
iñuiññagliaqpakpiŋatchaq	20×20×(20)	,,,,	4,096,000,000,000,000

References

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

• Numerals
• Inupiat language