Decillion, Vigintillion, Trigintillion...Date: 12/10/98 at 13:42:44 From: Brennan Trichardt Subject: Large Numbers After seeing your posting on Large numbers [see http://mathforum.org/dr.math/faq/faq.large.numbers.html ] I see the pattern. Could you please complete the following pattern? 1 with 33 zeros after it is a Decillion 1 with 63 zeros after it is a Vigintillion 1 with 93 zeros after it is a Trigintillion 1 with 123 zeros after it is a ? 1 with 153 zeros after it is a ? 1 with 183 zeros after it is a ? 1 with 213 zeros after it is a ? 1 with 243 zeros after it is a ? 1 with 273 zeros after it is a ? 1 with 303 zeros after it is a Centillion I'm writing a program that will convert numbers into the text of how to say them. Example: input: 120340000000 output: OneHundredTwentyBillionThreeHundredFortyMillion Date: 12/10/98 at 14:44:55 From: Doctor Schwa Subject: Re: Large Numbers From John Conway and Richard Guy, _The Book Of Numbers_, p. 15: [The * below means: When it is immediately before a component marked with s or x, tre increases to tres and se to s or x as appropriate. Similarly septe and nove increase to septem and novem or septen and noven immediately before components marked with m or n.] units: (prefixes) un duo tre (*) quattuor quinqua se (*) septe (*) octo nove (*) tens: (n) deci (ms) viginti (ns) triginta (ns) quadraginta (ns) quinquaginta (n) sexaginta (n) septuaginta (mx) octoginta nonaginta hundreds: (nx) centi (n) ducenti (ns) trecenti (ns) quadringenti (ns) quingenti (n) sescenti (n) septingenti (mx) octingenti nongenti Conway and Guy also describe a method to extend this to the naming of all numbers, by combining these according to the convention that XilliYilliZillion (say) denotes the (1000000X + 1000Y + Z)th zillion, using "nillion" for the zeroth "zillion" when this is needed as a placeholder. So for example the million-and-third zillion is a "millinillitrillion". That means (American) 10^3000012, or (British) 10^6000018. I hope you enjoy this idea as much as I do! Anything that gives me an excuse to use the word "zillion" and "millinillitrillion" makes my day. - Doctor Schwa, The Math Forum http://mathforum.org/dr.math/ |
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