1410.11 – How Many Digits?


How many digits are there in the number N=21359N = 2^{13} · 5^9?


Solution

N=21359=242959=24109=16109=1.61010N = 2^{13} · 5^9 = 2^4 · 2^9 · 5^9 = 2^4 · 10^9 = 16 · 10^9 = 1.6 \cdot 10^{10}, which has 1111 digits.