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