31142032000 has 64 divisors (see below), whose sum is σ = 77426916840. Its totient is φ = 12456806400.

The previous prime is 31142031997. The next prime is 31142032003. The reversal of 31142032000 is 23024113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31142031997) and next prime (31142032003).

It can be written as a sum of positive squares in 4 ways, for example, as 1024512064 + 30117519936 = 32008^2 + 173544^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (31142032003) 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 7 ways as a sum of consecutive naturals, for example, 957189 + ... + 989188.

Almost surely, 2^31142032000 is an apocalyptic number.

It is an amenable number.

31142032000 is an abundant number, since it is smaller than the sum of its proper divisors (46284884840).

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

31142032000 is an equidigital number, since it uses as much as digits as its factorization.

31142032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946406 (or 1946384 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31142032000 its reverse (23024113), we get a palindrome (31165056113).

The spelling of 31142032000 in words is "thirty-one billion, one hundred forty-two million, thirty-two thousand".