314113140 has 120 divisors (see below), whose sum is σ = 1075025952. Its totient is φ = 76144320.

The previous prime is 314113133. The next prime is 314113141. The reversal of 314113140 is 41311413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314113141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9007 + ... + 26633.

Almost surely, 2^314113140 is an apocalyptic number.

314113140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537512976).

314113140 is an abundant number, since it is smaller than the sum of its proper divisors (760912812).

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

314113140 is a wasteful number, since it uses less digits than its factorization.

314113140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17659 (or 17648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 314113140 is about 17723.2372889379. The cubic root of 314113140 is about 679.7700635494.

Adding to 314113140 its reverse (41311413), we get a palindrome (355424553).

The spelling of 314113140 in words is "three hundred fourteen million, one hundred thirteen thousand, one hundred forty".