Iñupiaq numerals


The Iñupiaq language has a vigesimal numeral system, with words for numerals up to 2012. 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. 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.
NumeralMorphological
pattern
Kaktovik
notation
Hindu-Arabic
notation
kisitchisaġvik0
atausiq11
malġuk22
piŋasut33
sisamat44
tallimat55
itchaksrat66
tallimat malġuk5 + 27
tallimat piŋasut5 + 38
quliŋŋuġutaiḷaq10 − 19
qulit1010
qulit atausiq10 + 111
qulit malġuk10 + 212
qulit piŋasut10 + 313
akimiaġutaiḷaq15 − 114
akimiaq1515
akimiaq atausiq15 + 116
akimiaq malġuk15 + 217
akimiaq piŋasut15 + 318
iñuiññaġutaiḷaq20 − 119
iñuiññaq2020
iḷagiññaq400400

malġukipiaq2×2040
piŋasukipiaq3×2060
sisamakipiaq4×2080
tallimakipiaq5×20100
tallimakipiaq iñuiññaq5×20 + 20120
tallimakipiaq malġukipiaq5×20 + 2×20140
tallimakipiaq piŋasukipiaq5×20 + 3×20160
tallimakipiaq sisamakipiaq5×20 + 4×20180
qulikipiaq10×20200
qulikipiaq iñuiññaq10×20 + 20220
qulikipiaq malġukipiaq10×20 + 2×20240
qulikipiaq piŋasukipiaq10×20 + 3×20260
qulikipiaq sisamakipiaq10×20 + 4×20280
akimiakipiaq15×20300
akimiakipiaq iñuiññaq15×20 + 20320
akimiakipiaq malġukipiaq15×20 + 2×20340
akimiakipiaq piŋasukipiaq15×20 + 3×20360
akimiakipiaq sisamakipiaq15×20 + 4×20380
iñuiññakipiaq
20×20
400

malġuagliaq2×202800
piŋasuagliaq3×2021,200
sisamaagliaq4×2021,600
tallimaagliaq5×2022,000
quliagliaq10×2024,000
akimiagliaq15×2026,000

atausiqpak1×203 8,000
malġuqpak2×20316,000
piŋasuqpak3×20324,000
sisamaqpak4×20332,000
tallimaqpak5×20340,000
quliqpak10×20380,000
akimiaqpak15×203120,000
iñuiññaqpak20×203 160,000

malġukipiaqpak2×20×203320,000
piŋasukipiaqpak3×20×203480,000
sisamakipiaqpak4×20×203640,000
tallimakipiaqpak5×20×203800,000
qulikipiaqpak10×20×2031,600,000
akimiakipiaqpak15×20×2032,400,000

iḷagiññaqpak400×203 3,200,000

malġuagliaqpak2×202×2036,400,000
piŋasuagliaqpak3×202×2039,600,000
sisamaagliaqpak4×202×20312,800,000
tallimaagliaqpak5×202×20316,000,000
quliagliaqpak10×202×20332,000,000
akimiagliaqpak15×202×20348,000,000

atausiqpakaippaq2 64,000,000
malġuqpakaippaq2128,000,000
piŋasuqpakaippaq2192,000,000
sisamaqpakaippaq2256,000,000
tallimaqpakaippaq2320,000,000
quliqpakaippaq10×2640,000,000
akimiaqpakaippaq15×2960,000,000
iñuiññaqpakaippaq20×2 1,280,000,000

malġukipiaqpakaippaq2×20×22,560,000,000
piŋasukipiaqpakaippaq3×20×23,840,000,000
sisamakipiaqpakaippaq4×20×25,120,000,000
tallimakipiaqpakaippaq5×20×26,400,000,000
qulikipiaqpakaippaq10×20×212,800,000,000
akimiakipiaqpakaippaq15×20×219,200,000,000

iḷagiññaqpakaippaq400×2 25,600,000,000

malġuagliaqpakaippaq2×202×251,200,000,000
piŋasuagliaqpakaippaq3×202×2,,76,800,000,000
sisamaagliaqpakaippaq4×202×2102,400,000,000
tallimaagliaqpakaippaq5×202×2128,000,000,000
quliagliaqpakaippaq10×202×2256,000,000,000
akimiagliaqpakaippaq15×202×2384,000,000,000

atausiqpakpiŋatchaq3 512,000,000,000
malġuqpakpiŋatchaq31,024,000,000,000
piŋasuqpakpiŋatchaq31,536,000,000,000
sisamaqpakpiŋatchaq32,048,000,000,000
tallimaqpakpiŋatchaq32,560,000,000,000
quliqpakpiŋatchaq10×35,120,000,000,000
akimiaqpakpiŋatchaq15×37,680,000,000,000
iñuiññaqpakpiŋatchaq20×3 10,240,000,000,000

malġukipiaqpakpiŋatchaq2×20×320,480,000,000,000
piŋasukipiaqpakpiŋatchaq3×20×330,720,000,000,000
sisamakipiaqpakpiŋatchaq4×20×340,960,000,000,000
tallimakipiaqpakpiŋatchaq5×20×351,200,000,000,000
qulikipiaqpakpiŋatchaq10×20×3102,400,000,000,000
akimiakipiaqpakpiŋatchaq15×20×3153,600,000,000,000

iḷagiññaqpakpiŋatchaq400×3 204,800,000,000,000

malġuagliaqpakpiŋatchaq2×202×3409,600,000,000,000
piŋasuagliaqpakpiŋatchaq3×202×3614,400,000,000,000
sisamaagliaqpakpiŋatchaq4×202×3819,200,000,000,000
tallimaagliaqpakpiŋatchaq5×202×31,024,000,000,000,000
quliagliaqpakpiŋatchaq10×202×32,048,000,000,000,000
akimiagliaqpakpiŋatchaq15×202×33,072,000,000,000,000
iñuiññagliaqpakpiŋatchaq20×202×3 4,096,000,000,000,000