314141440113 has 12 divisors (see below), whose sum is σ = 454248309060. Its totient is φ = 209202187776.

The previous prime is 314141440111. The next prime is 314141440121. The reversal of 314141440113 is 311044141413.

314141440113 is a `hidden beast` number, since 31 + 41 + 41 + 440 + 113 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65790711009 + 248350729104 = 256497^2 + 498348^2 .

It is not a de Polignac number, because 314141440113 - 2¹ = 314141440111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314141440111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18777756 + ... + 18794477.

It is an arithmetic number, because the mean of its divisors is an integer number (37854025755).

Almost surely, 2^314141440113 is an apocalyptic number.

It is an amenable number.

314141440113 is a deficient number, since it is larger than the sum of its proper divisors (140106868947).

314141440113 is a wasteful number, since it uses less digits than its factorization.

314141440113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37573168 (or 37573165 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 314141440113 its reverse (311044141413), we get a palindrome (625185581526).

The spelling of 314141440113 in words is "three hundred fourteen billion, one hundred forty-one million, four hundred forty thousand, one hundred thirteen".