313214144 has 28 divisors (see below), whose sum is σ = 629412000. Its totient is φ = 154622208.

The previous prime is 313214141. The next prime is 313214147. The reversal of 313214144 is 441412313.

313214144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313214141) and next prime (313214147).

It is not an unprimeable number, because it can be changed into a prime (313214141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25919 + ... + 36030.

It is an arithmetic number, because the mean of its divisors is an integer number (22479000).

Almost surely, 2^313214144 is an apocalyptic number.

It is an amenable number.

313214144 is an abundant number, since it is smaller than the sum of its proper divisors (316197856).

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

313214144 is an equidigital number, since it uses as much as digits as its factorization.

313214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62040 (or 62030 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 313214144 is about 17697.8570454165. The cubic root of 313214144 is about 679.1209402229.

Adding to 313214144 its reverse (441412313), we get a palindrome (754626457).

The spelling of 313214144 in words is "three hundred thirteen million, two hundred fourteen thousand, one hundred forty-four".