31430234016 has 36 divisors (see below), whose sum is σ = 89379728802. Its totient is φ = 10476744576.

The previous prime is 31430233997. The next prime is 31430234021. The reversal of 31430234016 is 61043203413.

31430234016 is a `hidden beast` number, since 3 + 1 + 4 + 302 + 340 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29996854416 + 1433379600 = 173196^2 + 37860^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×31430234016² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 54566091 + ... + 54566666.

Almost surely, 2^31430234016 is an apocalyptic number.

31430234016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31430234016 is an abundant number, since it is smaller than the sum of its proper divisors (57949494786).

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

31430234016 is a wasteful number, since it uses less digits than its factorization.

31430234016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109132773 (or 109132762 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 31430234016 its reverse (61043203413), we get a palindrome (92473437429).

The spelling of 31430234016 in words is "thirty-one billion, four hundred thirty million, two hundred thirty-four thousand, sixteen".