313441234140 has 96 divisors (see below), whose sum is σ = 930570520320. Its totient is φ = 78607120896.

The previous prime is 313441234133. The next prime is 313441234147. The reversal of 313441234140 is 41432144313.

It is an interprime number because it is at equal distance from previous prime (313441234133) and next prime (313441234147).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 313441234098 and 313441234107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313441234147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847282 + ... + 1159641.

It is an arithmetic number, because the mean of its divisors is an integer number (9693442920).

Almost surely, 2^313441234140 is an apocalyptic number.

313441234140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313441234140 is an abundant number, since it is smaller than the sum of its proper divisors (617129286180).

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

313441234140 is a wasteful number, since it uses less digits than its factorization.

313441234140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007091 (or 2007089 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 313441234140 its reverse (41432144313), we get a palindrome (354873378453).

It can be divided in two parts, 313441 and 234140, that added together give a triangular number (547581 = T₁₀₄₆).

The spelling of 313441234140 in words is "three hundred thirteen billion, four hundred forty-one million, two hundred thirty-four thousand, one hundred forty".