3144412144413 has 12 divisors (see below), whose sum is σ = 4543184417148. Its totient is φ = 2095695179520.

The previous prime is 3144412144411. The next prime is 3144412144427.

3144412144413 is a `hidden beast` number, since 3 + 144 + 41 + 21 + 44 + 413 = 666.

3144412144413 is nontrivially palindromic in base 10.

3144412144413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5126273604 + 3139285870809 = 71598^2 + 1771803^2 .

It is not a de Polignac number, because 3144412144413 - 2¹ = 3144412144411 is a prime.

It is a super-2 number, since 2×3144412144413² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144412144411) 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, 48264258 + ... + 48329363.

It is an arithmetic number, because the mean of its divisors is an integer number (378598701429).

Almost surely, 2^{3144412144413} is an apocalyptic number.

It is an amenable number.

3144412144413 is a deficient number, since it is larger than the sum of its proper divisors (1398772272735).

3144412144413 is a wasteful number, since it uses less digits than its factorization.

3144412144413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96597244 (or 96597241 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 3144412144413 in words is "three trillion, one hundred forty-four billion, four hundred twelve million, one hundred forty-four thousand, four hundred thirteen".