31142344000 has 112 divisors (see below), whose sum is σ = 77257052496. Its totient is φ = 12435456000.

The previous prime is 31142343943. The next prime is 31142344097. The reversal of 31142344000 is 44324113.

It can be written as a sum of positive squares in 8 ways, for example, as 550934784 + 30591409216 = 23472^2 + 174904^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5124964 + ... + 5131036.

Almost surely, 2^31142344000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31142344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38628526248).

31142344000 is an abundant number, since it is smaller than the sum of its proper divisors (46114708496).

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

31142344000 is an equidigital number, since it uses as much as digits as its factorization.

31142344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 31142344000 its reverse (44324113), we get a palindrome (31186668113).

The spelling of 31142344000 in words is "thirty-one billion, one hundred forty-two million, three hundred forty-four thousand".