31431122414224 has 40 divisors (see below), whose sum is σ = 66231575017272. Its totient is φ = 14363041459200.

The previous prime is 31431122414213. The next prime is 31431122414249. The reversal of 31431122414224 is 42241422113413.

It can be written as a sum of positive squares in 4 ways, for example, as 2971031374224 + 28460091040000 = 1723668^2 + 5334800^2 .

It is a super-3 number, since 3×31431122414224³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31431122414224.

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 7 ways as a sum of consecutive naturals, for example, 748054069 + ... + 748096084.

Almost surely, 2^{31431122414224} is an apocalyptic number.

It is an amenable number.

31431122414224 is an abundant number, since it is smaller than the sum of its proper divisors (34800452603048).

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

31431122414224 is a wasteful number, since it uses less digits than its factorization.

31431122414224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496150275 (or 1496150269 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

Adding to 31431122414224 its reverse (42241422113413), we get a palindrome (73672544527637).

The spelling of 31431122414224 in words is "thirty-one trillion, four hundred thirty-one billion, one hundred twenty-two million, four hundred fourteen thousand, two hundred twenty-four".