31311244440144 has 60 divisors (see below), whose sum is σ = 89765264819412. Its totient is φ = 10182518515200.

The previous prime is 31311244440107. The next prime is 31311244440169. The reversal of 31311244440144 is 44104444211313.

31311244440144 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 1 + 244 + 4 + 401 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9250186953744 + 22061057486400 = 3041412^2 + 4696920^2 .

It is a super-3 number, since 3×31311244440144³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31311244440099 and 31311244440108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2651691627 + ... + 2651703434.

Almost surely, 2^{31311244440144} is an apocalyptic number.

It is an amenable number.

31311244440144 is an abundant number, since it is smaller than the sum of its proper divisors (58454020379268).

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

31311244440144 is a wasteful number, since it uses less digits than its factorization.

31311244440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5303395116 (or 5303395107 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 31311244440144 its reverse (44104444211313), we get a palindrome (75415688651457).

The spelling of 31311244440144 in words is "thirty-one trillion, three hundred eleven billion, two hundred forty-four million, four hundred forty thousand, one hundred forty-four".