344042431034013 has 24 divisors (see below), whose sum is σ = 521146254283200. Its totient is φ = 226784523813408.

The previous prime is 344042431033943. The next prime is 344042431034017. The reversal of 344042431034013 is 310430134240443.

344042431034013 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 4 + 243 + 1 + 0 + 3 + 401 + 3 = 666.

It is not a de Polignac number, because 344042431034013 - 2⁸ = 344042431033757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344042431034017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7953981033 + ... + 7954024286.

It is an arithmetic number, because the mean of its divisors is an integer number (21714427261800).

Almost surely, 2^{344042431034013} is an apocalyptic number.

It is an amenable number.

344042431034013 is a deficient number, since it is larger than the sum of its proper divisors (177103823249187).

344042431034013 is an equidigital number, since it uses as much as digits as its factorization.

344042431034013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15908005423 (or 15908005411 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 344042431034013 its reverse (310430134240443), we get a palindrome (654472565274456).

The spelling of 344042431034013 in words is "three hundred forty-four trillion, forty-two billion, four hundred thirty-one million, thirty-four thousand, thirteen".