3144234324413 has 24 divisors (see below), whose sum is σ = 3961699437528. Its totient is φ = 2473365718656.

The previous prime is 3144234324401. The next prime is 3144234324461.

3144234324413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 329966378329 + 2814267946084 = 574427^2 + 1677578^2 .

It is not a de Polignac number, because 3144234324413 - 2³² = 3139939357117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144234320413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14155706 + ... + 14376107.

It is an arithmetic number, because the mean of its divisors is an integer number (165070809897).

Almost surely, 2^{3144234324413} is an apocalyptic number.

It is an amenable number.

3144234324413 is a deficient number, since it is larger than the sum of its proper divisors (817465113115).

3144234324413 is a wasteful number, since it uses less digits than its factorization.

3144234324413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28532013 (or 28532006 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

The spelling of 3144234324413 in words is "three trillion, one hundred forty-four billion, two hundred thirty-four million, three hundred twenty-four thousand, four hundred thirteen".