31143114400 has 36 divisors (see below), whose sum is σ = 76028129982. Its totient is φ = 12457245440.

The previous prime is 31143114389. The next prime is 31143114407. The reversal of 31143114400 is 441134113.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 22357426576 + 8785687824 = 149524^2 + 93732^2 .

It is not an unprimeable number, because it can be changed into a prime (31143114407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19463647 + ... + 19465246.

Almost surely, 2^31143114400 is an apocalyptic number.

It is an amenable number.

31143114400 is an abundant number, since it is smaller than the sum of its proper divisors (44885015582).

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

31143114400 is a wasteful number, since it uses less digits than its factorization.

31143114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38928913 (or 38928900 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 31143114400 its reverse (441134113), we get a palindrome (31584248513).

The spelling of 31143114400 in words is "thirty-one billion, one hundred forty-three million, one hundred fourteen thousand, four hundred".