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Monday, April 26, 2010

Numbers of ZEROs


 
Number of zeros
U.S. & scientific community
Other countries
3
thousand
thousand
6
million
million
9
billion
1000 million (1 milliard)
12
trillion
billion
15
quadrillion
1000 billion
18
quintillion
trillion
21
sextillion
1000 trillion
24
septillion
quadrillion
27
octillion
1000 quadrillion
30
nonillion
quintillion
33
decillion
1000 quintillion
36
undecillion
sextillion
39
duodecillion
1000 sextillion
42
tredecillion
septillion
45
quattuordecillion
1000 septillion
48
quindecillion
octillion
51
sexdecillion
1000 octillion
54
septendecillion
nonillion
57
octodecillion
1000 nonillion
60
novemdecillion
decillion
63
vigintillion
1000 decillion
66-120
undecillion - vigintillion
303
centillion
600
centillion
 
Addendum:
 
There are other big numbers with names. A zillion has come to mean an arbitrary or unknown large number. A googol is 10^100. A googolplex is 10^googol (10^10^10^2) . This number is too large to write here without exponents. Skewes' number (gesundheit) is 10^10^10^34 was used as an upper bound in a mathematical proof. Recently 10^10^10^10^ 10^7 was used in a proof.
 
The googolplex has given rise to the n-plex notation: n-plex is 10^n. n-minex is 10^-n. Donald Knuth invented arrow notation, where m^n (^ is an up arrow) is the regular m^n. m^^n is m^m^m^m...^m, with n up arrows. m^^^n is m^^m^^m...^^ m, with n ^^s. According to The Book of Numbers by J.H.Conway and R.K.Guy, chained arrow notation is the following enhancement: a^^^^^b is written as a>b>5, where > is a right arrow.

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