A127352 Integers less than 10^303 in reverse alphabetical order in U.S. English.

0, 2000000000000000000000000002000000000000000000000002000000002202, 2000000000000000000000000002000000000000000000000002000000002222, 2000000000000000000000000002000000000000000000000002000000002223, 2000000000000000000000000002000000000000000000000002000000002226, 2000000000000000000000000002000000000000000000000002000000002227, 2000000000000000000000000002000000000000000000000002000000002221

Offset

1,2

Comments

Since the use of alphabetic names is rare for numbers greater than 10^15, there is no universal agreement on the naming scheme for large integers, and there is some question whether this sequence would well-defined without the "less than 10^303" clause.

The Wikipedia article compares 8 dictionary sources and has names for the powers of 1000 up to 10^63 and for 10^303. These are also in the Mathworld link.

There are several conflicting schemes for extending the dictionary definitions. If we assume that the system of alphabetic names greater than 10^63 defines a word for every power of 1000 and that word comes before "vigintillion" alphabetically, the sequence can include all integers. However, many of the extension schemes listed do not meet that standard - some have multiple words and some have words that are alphabetically after "vigintillion".

For the powers of 1000 between 10^66 and 10^303, one source (http://www.mrob.com/pub/math/largenum.html) coins the name "vigintinonillion" for 10^90, but this format is inconsistent with other names listed in the same source, e.g. "duovigintillion", "sexoctogintillion". The name "novemvigintillion" seems to be more common. Otherwise, all sources have "vigintillion" as alphabetically last of all the powers of 1000 up to 10^303.

The terms are from Andrew Weimholt.

Links

Michael B. Porter, Table of n, a(n) for n = 1..15

Robert P. Munafo, Large numbers

Landon Curt Noll, How high can you count?

John J. G. Savard, Some notes on big numbers

Gerard Schildberger, Lists of Words for the Numbers in A060365 and A060366

Eric Weisstein's World of Mathematics, Large Number

Wikipedia, Names of large numbers

Example

zero,
two vigintillion two undecillion two trillion two thousand two hundred two,
two vigintillion two undecillion two trillion two thousand two hundred twenty two, etc.

Crossrefs

Cf. A004740, A019440, A060365, A060366.

See A026081 for another version.

Sequence in context: A095516 A095518 A095520 * A095522 A095524 A095526

Adjacent sequences: A127349 A127350 A127351 * A127353 A127354 A127355

Keyword

nonn,word,dumb

Author

Michael B. Porter, Nov 24 2009

Status

approved