Small -illions are the same as they are in the canonical system. They will be listed here, for completeness.
1000x+1
|
Name
|
0
|
Thousand
|
1
|
Million
|
2
|
Billion
|
3
|
Trillion
|
4
|
Quadrillion
|
5
|
Pentillion
|
6
|
Sextillion
|
7
|
Septillion
|
8
|
Octillion
|
9
|
Nonillion
|
10
|
Decillion
|
11
|
Undecillion
|
12
|
Duodecillion
|
13
|
Tredecillion
|
14
|
Quattuordecillion
|
15
|
Quindecillion
|
16
|
Sexdecillion
|
17
|
Septendecillion
|
18
|
Octodecillion
|
19
|
Novemdecillion
|
20
|
Vigintillion
|
Does this go up to a usefully high amount? Of course not! A vigintillion, wrote out in decimal form, is a mere 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 (1063, E63, or <10,63> depending on which notation you prefer). It doesn't even approach the number of m3 in a Mpc3, let alone larger numbers.
Following the trend set by "decillion", it is trivial to extend the numbers up to 1090.
Following the trend set by "decillion", it is trivial to extend the numbers up to 1090.
1000x+1
|
Name
|
21
|
Unvigintillion
|
22
|
Duovigintillion
|
23
|
Trevigintillion
|
24
|
Quattuorvigintillion
|
25
|
Quinvigintillion
|
26
|
Sexvigintillion
|
27
|
Septenvigintillion
|
28
|
Octoviginitillion
|
29
|
Novemvigintillion
|
Are these so high they are useless? Not at all! Looking at Wikipedia's page on orders of magnitude, it looks like we still need to beat decimal32 floating point numbers (the canonical prefixes beat 32-bit binary numbers, with a mere three hundred and fourty undecillion, two hundred and eighty two decillion and three hundred and fourty nonillion the highest number expressible). Anyway, we seem to have reached a roadblock, given that there is no word for 100031 in the canonical prefixes. However, this is easily fixed, by looking at etymology.
The word "vigintillion" is formed from the Latin word "vīgintī", meaning twenty. To find the next "-illion", we simply find the Latin word for 30, which happens to be "trīgintā". Application is simple:
The word "vigintillion" is formed from the Latin word "vīgintī", meaning twenty. To find the next "-illion", we simply find the Latin word for 30, which happens to be "trīgintā". Application is simple:
1000x+1
|
Name
|
30
|
Trigintillion
|
With -illions number 31 through 39 being constructed in the same way as 21 through 29 and 11 through 19. But why stop at 30? The romans had numbers up to 1,000 (M), and these can easily be used as prefixes for numbers up to 10001001. Given that many people can't count in Latin, I'll include the names of the -illions from 40 to 100 here. Intermediates can be generated as normal.
Now, we reach a second roadblock. The Romans had no reason to use numbers over 1000 (pfft, ameutures) and hence haven't named them with single words(they still have notation for it though, which increases at a rate of 1000x, and they can also express larger numbers by saying them directly, like "eight thousand"). In my next post, I will describe how roman numbers can be extended to stretch beyond 1000 (mīlle), and up to the low -illions.
One last thought for this post:
--Thomas
1000x+1
|
Name
|
40
|
Quadragintillion
|
50
|
Quinquagintillion
|
60
|
Sexagintillion
|
70
|
Septuagintillion
|
80
|
Octogintillion
|
90
|
Nonagintillion
|
100
|
Centillion
|
101
|
Uncentillion
|
111
|
Undecentillion (Un-dec-centillion)
|
200
|
Duocentillion
|
300
|
Trecentillion
|
400
|
Quadringentillion
|
500
|
Quingentillion
|
600
|
Sescentillion
|
700
|
Septingentillion
|
800
|
Octigentillion
|
900
|
Nongentillion
|
999
|
Novemonaginongentillion (Novem-nonagint-nongentillion)
|
1000
|
Millillion
|
Now, we reach a second roadblock. The Romans had no reason to use numbers over 1000 (pfft, ameutures) and hence haven't named them with single words(they still have notation for it though, which increases at a rate of 1000x, and they can also express larger numbers by saying them directly, like "eight thousand"). In my next post, I will describe how roman numbers can be extended to stretch beyond 1000 (mīlle), and up to the low -illions.
One last thought for this post:
1000x+1
|
-illion Name
|
1/x
|
SI Prefix
|
10
|
decillion
|
10
|
deci-
|
100
|
centillion
|
100
|
centi-
|
1000
|
millillion
|
1000
|
milli-
|
106
|
???
|
106
|
micro-
|
--Thomas