334142444313 has 12 divisors (see below), whose sum is σ = 491756805540. Its totient is φ = 218558579616.

The previous prime is 334142444297. The next prime is 334142444347. The reversal of 334142444313 is 313444241433.

334142444313 is a `hidden beast` number, since 334 + 1 + 4 + 2 + 4 + 4 + 4 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 281056901904 + 53085542409 = 530148^2 + 230403^2 .

It is not a de Polignac number, because 334142444313 - 2⁴ = 334142444297 is a prime.

It is a super-3 number, since 3×334142444313³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (334142444513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350253658 + ... + 350254611.

It is an arithmetic number, because the mean of its divisors is an integer number (40979733795).

Almost surely, 2^334142444313 is an apocalyptic number.

It is an amenable number.

334142444313 is a deficient number, since it is larger than the sum of its proper divisors (157614361227).

334142444313 is a wasteful number, since it uses less digits than its factorization.

334142444313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700508328 (or 700508325 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 334142444313 its reverse (313444241433), we get a palindrome (647586685746).

The spelling of 334142444313 in words is "three hundred thirty-four billion, one hundred forty-two million, four hundred forty-four thousand, three hundred thirteen".