313416415242 has 24 divisors (see below), whose sum is σ = 776078742816. Its totient is φ = 89547547176.

The previous prime is 313416415241. The next prime is 313416415331. The reversal of 313416415242 is 242514614313.

313416415242 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 1 + 641 + 5 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 313416415197 and 313416415206.

It is not an unprimeable number, because it can be changed into a prime (313416415241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1243715808 + ... + 1243716059.

It is an arithmetic number, because the mean of its divisors is an integer number (32336614284).

Almost surely, 2^313416415242 is an apocalyptic number.

313416415242 is an abundant number, since it is smaller than the sum of its proper divisors (462662327574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313416415242 is a wasteful number, since it uses less digits than its factorization.

313416415242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487431882 (or 2487431879 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 313416415242 in words is "three hundred thirteen billion, four hundred sixteen million, four hundred fifteen thousand, two hundred forty-two".