34431055013443 has 8 divisors (see below), whose sum is σ = 37561233527280. Its totient is φ = 31300890266880.

The previous prime is 34431055013393. The next prime is 34431055013479.

34431055013443 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34431055013443 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34431055013396 and 34431055013405.

It is not an unprimeable number, because it can be changed into a prime (34431055013483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2187771 + ... + 8581867.

It is an arithmetic number, because the mean of its divisors is an integer number (4695154190910).

Almost surely, 2^{34431055013443} is an apocalyptic number.

34431055013443 is a deficient number, since it is larger than the sum of its proper divisors (3130178513837).

34431055013443 is a wasteful number, since it uses less digits than its factorization.

34431055013443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883637.

The product of its (nonzero) digits is 518400, while the sum is 40.

It can be divided in two parts, 3443105 and 5013443, that added together give a palindrome (8456548).

The spelling of 34431055013443 in words is "thirty-four trillion, four hundred thirty-one billion, fifty-five million, thirteen thousand, four hundred forty-three".