[seqfan] Re: How many numbers have n letters?

[Hans Havermann]

AW: "In the US, I think there are 31 numbers with 11 letters: [2389][378], 7[459], [459]00, [126]000, 10000, [459]000000, [459]000000000, [126]000000000000. I probably could have missed some."

You only missed "ten trillion".

AW: "I agree with the limit at 10^306 - 1"

In Mathematica (version 13)...

IntegerName[10^306-1, "Words"]
nine hundred ninety-nine centillion, nine hundred ninety-nine novenonagintillion, ... nine hundred ninety-nine thousand, nine hundred ninety-nine

That's *my* ellipsis. Mathematica uses a non-standard hyphen for its integer names but (at least) when you do a "plain text" copy (shift-key copy) it turns into a standard one.

IntegerName[10^306, "Words"]
one billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion billion

Clearly, they didn't want to deal with it.