31032442144 has 72 divisors (see below), whose sum is σ = 67317187644. Its totient is φ = 14071411200.

The previous prime is 31032442123. The next prime is 31032442157. The reversal of 31032442144 is 44124423013.

It can be written as a sum of positive squares in 2 ways, for example, as 17692192144 + 13340250000 = 133012^2 + 115500^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1620594 + ... + 1639630.

Almost surely, 2^31032442144 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 31032442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33658593822).

31032442144 is an abundant number, since it is smaller than the sum of its proper divisors (36284745500).

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

31032442144 is a wasteful number, since it uses less digits than its factorization.

31032442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19490 (or 19471 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 31032442144 its reverse (44124423013), we get a palindrome (75156865157).

The spelling of 31032442144 in words is "thirty-one billion, thirty-two million, four hundred forty-two thousand, one hundred forty-four".