3144240424413 has 72 divisors (see below), whose sum is σ = 5260142232800. Its totient is φ = 1803482936640.

The previous prime is 3144240424357. The next prime is 3144240424417.

3144240424413 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 2 + 404 + 244 + 1 + 3 = 666.

3144240424413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3144240424413 - 2¹² = 3144240420317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144240424417) 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 71 ways as a sum of consecutive naturals, for example, 20552718 + ... + 20705136.

Almost surely, 2^{3144240424413} is an apocalyptic number.

3144240424413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3144240424413 is a deficient number, since it is larger than the sum of its proper divisors (2115901808387).

3144240424413 is a wasteful number, since it uses less digits than its factorization.

3144240424413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153463 (or 153449 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 3144240 and 424413, that added together give a palindrome (3568653).

The spelling of 3144240424413 in words is "three trillion, one hundred forty-four billion, two hundred forty million, four hundred twenty-four thousand, four hundred thirteen".