3144232324413 has 24 divisors (see below), whose sum is σ = 4592664059256. Its totient is φ = 2072673216000.

The previous prime is 3144232324393. The next prime is 3144232324417.

3144232324413 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 2 + 3 + 232 + 4 + 413 = 666.

3144232324413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 762710528889 + 2381521795524 = 873333^2 + 1543218^2 .

It is not a de Polignac number, because 3144232324413 - 2⁶ = 3144232324349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144232324417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1580920 + ... + 2964417.

It is an arithmetic number, because the mean of its divisors is an integer number (191361002469).

Almost surely, 2^{3144232324413} is an apocalyptic number.

It is an amenable number.

3144232324413 is a deficient number, since it is larger than the sum of its proper divisors (1448431734843).

3144232324413 is a wasteful number, since it uses less digits than its factorization.

3144232324413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546205 (or 4546202 counting only the distinct ones).

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

The spelling of 3144232324413 in words is "three trillion, one hundred forty-four billion, two hundred thirty-two million, three hundred twenty-four thousand, four hundred thirteen".