314024420413 has 16 divisors (see below), whose sum is σ = 343501646400. Its totient is φ = 284702745600.

The previous prime is 314024420363. The next prime is 314024420441.

314024420413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-314024420413 is a prime.

It is a super-2 number, since 2×314024420413² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314024420453) 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 15 ways as a sum of consecutive naturals, for example, 10955206 + ... + 10983832.

It is an arithmetic number, because the mean of its divisors is an integer number (21468852900).

Almost surely, 2^314024420413 is an apocalyptic number.

It is an amenable number.

314024420413 is a deficient number, since it is larger than the sum of its proper divisors (29477225987).

314024420413 is a wasteful number, since it uses less digits than its factorization.

314024420413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31308.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 314024 and 420413, that added together give a palindrome (734437).

The spelling of 314024420413 in words is "three hundred fourteen billion, twenty-four million, four hundred twenty thousand, four hundred thirteen".