Don't expect me to do these calculations!

Algebra Level 3

\[ \large \color{blue}{21!}^{\color{purple}{1000}}\]

Find the total number of digits when the number above is expressed in decimal representation.

Details and Assumptions

  • It is twenty-one factorial raised to the power of one thousand.

  • You may use the fact that \(21! = 51,090,942,171,709,440,000 \)


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