313144140 has 48 divisors (see below), whose sum is σ = 893356128. Its totient is φ = 81928704.

The previous prime is 313144129. The next prime is 313144141. The reversal of 313144140 is 41441313.

313144140 = T₂₈₅ + T₂₈₆ + ... + T₁₂₃₈.

It is not an unprimeable number, because it can be changed into a prime (313144141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46057 + ... + 52416.

It is an arithmetic number, because the mean of its divisors is an integer number (18611586).

Almost surely, 2^313144140 is an apocalyptic number.

313144140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313144140 is an abundant number, since it is smaller than the sum of its proper divisors (580211988).

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

313144140 is a wasteful number, since it uses less digits than its factorization.

313144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98538 (or 98536 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 313144140 is about 17695.8791813235. The cubic root of 313144140 is about 679.0703414814.

Adding to 313144140 its reverse (41441313), we get a palindrome (354585453).

It can be divided in two parts, 313 and 144140, that added together give a triangular number (144453 = T₅₃₇).

The spelling of 313144140 in words is "three hundred thirteen million, one hundred forty-four thousand, one hundred forty".