Self-Referencing English Number #2

Computer Science Level pending

Suppose we want to convert a positive integer into a word in American English spelling, and hyphens are treated as spaces, and compute its word product , which is simply the product of lengths of each words formed.

For example,

The number 24 can be written as twenty four , its word product is $W_P(24) = 6\times 4 = 24.$
The number 1011 can be written as one thousand eleven , so $W_P(1011) = 3\times 8\times6 = 144$ .

Find a 19-digit positive integer $N$ such that $W_P(N) = N .$

See Part 1 and Part 3 here.

The answer is 1239789303244800000.

1 solution

Jonathan Pappas
Nov 19, 2020

$1239789303244800000$ is the answer

$1239789303244800000$ expanded into English is:

one quintillion two hundred thirty nine quadrillion seven hundred eighty nine trillion three hundred three billion two hundred forty four million eight hundred thousand

When you multiply the length of each word together:

$3 * 11 * 3 * 7 * 6 * 4 * 11 * 5 * 7 * 6 * 4 * 8 * 5 * 7 * 5 * 7 * 3 * 7 * 5 * 4 * 7 * 5 * 7 * 8 = 1239789303244800000$

Self-Referencing English Number #2

The answer is 1239789303244800000.

1 solution

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