314234101432413 has 24 divisors (see below), whose sum is σ = 480816552418488. Its totient is φ = 197074917245952.

The previous prime is 314234101432373. The next prime is 314234101432417.

314234101432413 is a `hidden beast` number, since 3 + 1 + 4 + 234 + 1 + 0 + 1 + 4 + 3 + 2 + 413 = 666.

314234101432413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 888981208164 + 313345120224249 = 942858^2 + 17701557^2 .

It is not a de Polignac number, because 314234101432413 - 2⁸ = 314234101432157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314234101432417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476637070 + ... + 477295887.

It is an arithmetic number, because the mean of its divisors is an integer number (20034023017437).

Almost surely, 2^{314234101432413} is an apocalyptic number.

It is an amenable number.

314234101432413 is a deficient number, since it is larger than the sum of its proper divisors (166582450986075).

314234101432413 is a wasteful number, since it uses less digits than its factorization.

314234101432413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953935133 (or 953935130 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 31423410 and 1432413, that added together give a palindrome (32855823).

The spelling of 314234101432413 in words is "three hundred fourteen trillion, two hundred thirty-four billion, one hundred one million, four hundred thirty-two thousand, four hundred thirteen".