431303242303134 has 96 divisors (see below), whose sum is σ = 960087841599744. Its totient is φ = 139857565921920.

The previous prime is 431303242303133. The next prime is 431303242303243.

431303242303134 is a `hidden beast` number, since 4 + 3 + 1 + 303 + 2 + 4 + 2 + 30 + 313 + 4 = 666.

431303242303134 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431303242303133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250982394 + ... + 252695010.

It is an arithmetic number, because the mean of its divisors is an integer number (10000915016664).

Almost surely, 2^{431303242303134} is an apocalyptic number.

431303242303134 is an abundant number, since it is smaller than the sum of its proper divisors (528784599296610).

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

431303242303134 is a wasteful number, since it uses less digits than its factorization.

431303242303134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713982 (or 1713979 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The spelling of 431303242303134 in words is "four hundred thirty-one trillion, three hundred three billion, two hundred forty-two million, three hundred three thousand, one hundred thirty-four".