Yer a Wizard, Hairy

A wizard has N hairs in his beard.

N is equal to the product of 42 and the sum of the number of spells he knows, the number of books he's read, and the number of crystal balls he owns.

The number of spells he knows is equal to the number of occurances of 3, 1, and 4 in the first 100 digits of pi.

The number of books he's read is equal to the 20th Fibonacci term.

The number of crystal balls he owns is n = 0 \sum_{n=0}^\infty 9* 1 0 n 10^{-n} .

How many hairs does the wizard's beard have?


The answer is 285810.

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