314043303340413 has 48 divisors (see below), whose sum is σ = 462805186130352. Its totient is φ = 205148353536000.

The previous prime is 314043303340411. The next prime is 314043303340433.

314043303340413 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 4 + 3 + 303 + 340 + 4 + 1 + 3 = 666.

314043303340413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 140017948394724 + 174025354945689 = 11832918^2 + 13191867^2 .

It is not a de Polignac number, because 314043303340413 - 2¹ = 314043303340411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314043303340411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827239423 + ... + 827618963.

It is an arithmetic number, because the mean of its divisors is an integer number (9641774711049).

Almost surely, 2^{314043303340413} is an apocalyptic number.

It is an amenable number.

314043303340413 is a deficient number, since it is larger than the sum of its proper divisors (148761882789939).

314043303340413 is a wasteful number, since it uses less digits than its factorization.

314043303340413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385326 (or 385323 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 31404330 and 3340413, that added together give a palindrome (34744743).

The spelling of 314043303340413 in words is "three hundred fourteen trillion, forty-three billion, three hundred three million, three hundred forty thousand, four hundred thirteen".