Question

Find the smallest positive integer N that satisfies all of the following conditions: • N is a square.

• N is a cube.
• N is an odd number.
• N is divisible by twelve different prime numbers. How many digits does this number N have?

Answer 1

16

Explanation:

first primes: 2,3,5,7,11,13,17,19,23,29,31,37,41

then,cube 2 and square 3 to get 3.6510032e+15 which has 15+1=16 digits