313406433435144 has 128 divisors (see below), whose sum is σ = 908593070711040. Its totient is φ = 88239244541952.

The previous prime is 313406433435131. The next prime is 313406433435169. The reversal of 313406433435144 is 441534334604313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 313406433435093 and 313406433435102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44429577 + ... + 50998040.

It is an arithmetic number, because the mean of its divisors is an integer number (7098383364930).

Almost surely, 2^{313406433435144} is an apocalyptic number.

It is an amenable number.

313406433435144 is an abundant number, since it is smaller than the sum of its proper divisors (595186637275896).

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

313406433435144 is a wasteful number, since it uses less digits than its factorization.

313406433435144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95427919 (or 95427915 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 48.

The spelling of 313406433435144 in words is "three hundred thirteen trillion, four hundred six billion, four hundred thirty-three million, four hundred thirty-five thousand, one hundred forty-four".