313043343224004 has 36 divisors (see below), whose sum is σ = 791312418072540. Its totient is φ = 104346671854080.

The previous prime is 313043343223987. The next prime is 313043343224021. The reversal of 313043343224004 is 400422343340313.

313043343224004 is a `hidden beast` number, since 3 + 1 + 30 + 43 + 343 + 2 + 240 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (313043343223987) and next prime (313043343224021).

It can be written as a sum of positive squares in 2 ways, for example, as 24025662953604 + 289017680270400 = 4901598^2 + 17000520^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×313043343224004² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 313043343224004.

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, 42780357 + ... + 49560524.

It is an arithmetic number, because the mean of its divisors is an integer number (21980900502015).

Almost surely, 2^{313043343224004} is an apocalyptic number.

It is an amenable number.

313043343224004 is an abundant number, since it is smaller than the sum of its proper divisors (478269074848536).

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

313043343224004 is a wasteful number, since it uses less digits than its factorization.

313043343224004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92435060 (or 92435055 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 313043343224004 its reverse (400422343340313), we get a palindrome (713465686564317).

The spelling of 313043343224004 in words is "three hundred thirteen trillion, forty-three billion, three hundred forty-three million, two hundred twenty-four thousand, four".