AMO · 2027 · Grades 6-7 · Self-study SET 25 Question 11

$2^{400}$ can be written as a repeated product of the number 16: $\underbrace{16\times16\times16\times\cdots\times16}_{n\text{ factors}}$. What is the value of $n$?

**Input:** Enter the integer only, without units.