314420131044 has 72 divisors (see below), whose sum is σ = 814467420312. Its totient is φ = 102212997120.

The previous prime is 314420131043. The next prime is 314420131057. The reversal of 314420131044 is 440131024413.

314420131044 is a `hidden beast` number, since 3 + 144 + 201 + 310 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22184100 + 314397946944 = 4710^2 + 560712^2 .

It is a super-2 number, since 2×314420131044² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314420130999 and 314420131017.

It is not an unprimeable number, because it can be changed into a prime (314420131043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4143912 + ... + 4219104.

Almost surely, 2^314420131044 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 314420131044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407233710156).

314420131044 is an abundant number, since it is smaller than the sum of its proper divisors (500047289268).

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

314420131044 is a wasteful number, since it uses less digits than its factorization.

314420131044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78077 (or 78072 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 314420131044 its reverse (440131024413), we get a palindrome (754551155457).

The spelling of 314420131044 in words is "three hundred fourteen billion, four hundred twenty million, one hundred thirty-one thousand, forty-four".