31242444432144 has 80 divisors (see below), whose sum is σ = 88049248296960. Its totient is φ = 9467153700480.

The previous prime is 31242444432137. The next prime is 31242444432163. The reversal of 31242444432144 is 44123444424213.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31242444432096 and 31242444432105.

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, 19416489 + ... + 20963895.

It is an arithmetic number, because the mean of its divisors is an integer number (1100615603712).

Almost surely, 2^{31242444432144} is an apocalyptic number.

It is an amenable number.

31242444432144 is an abundant number, since it is smaller than the sum of its proper divisors (56806803864816).

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

31242444432144 is a wasteful number, since it uses less digits than its factorization.

31242444432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585668 (or 1585662 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

Adding to 31242444432144 its reverse (44123444424213), we get a palindrome (75365888856357).

The spelling of 31242444432144 in words is "thirty-one trillion, two hundred forty-two billion, four hundred forty-four million, four hundred thirty-two thousand, one hundred forty-four".