31442302022144 has 80 divisors (see below), whose sum is σ = 67711356305208. Its totient is φ = 14499903700992.

The previous prime is 31442302022099. The next prime is 31442302022191. The reversal of 31442302022144 is 44122020324413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16256378886400 + 15185923135744 = 4031920^2 + 3896912^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 31442302022144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6159554 + ... + 10041150.

Almost surely, 2^{31442302022144} 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 31442302022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33855678152604).

31442302022144 is an abundant number, since it is smaller than the sum of its proper divisors (36269054283064).

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

31442302022144 is a wasteful number, since it uses less digits than its factorization.

31442302022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882845 (or 3882829 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 31442302022144 its reverse (44122020324413), we get a palindrome (75564322346557).

The spelling of 31442302022144 in words is "thirty-one trillion, four hundred forty-two billion, three hundred two million, twenty-two thousand, one hundred forty-four".