Associated Topics || Dr. Math Home || Search Dr. Math

### 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) quinquaginta
(n)  sexaginta
(n)  septuaginta
(mx) octoginta
nonaginta

hundreds:

(nx) centi
(n)  ducenti
(ns) trecenti
(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/
```
Associated Topics:
Elementary Large Numbers

Search the Dr. Math Library:

 Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words

Submit your own question to Dr. Math
Math Forum Home || Math Library || Quick Reference || Math Forum Search