313050144 has 96 divisors (see below), whose sum is σ = 899760960. Its totient is φ = 94515200.

The previous prime is 313050103. The next prime is 313050149. The reversal of 313050144 is 441050313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 313050144.

It is not an unprimeable number, because it can be changed into a prime (313050149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549892 + ... + 550460.

It is an arithmetic number, because the mean of its divisors is an integer number (9372510).

Almost surely, 2^313050144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449880480).

313050144 is an abundant number, since it is smaller than the sum of its proper divisors (586710816).

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

313050144 is a wasteful number, since it uses less digits than its factorization.

313050144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 313050144 is about 17693.2231094281. The cubic root of 313050144 is about 679.0023895115.

The spelling of 313050144 in words is "three hundred thirteen million, fifty thousand, one hundred forty-four".