10044133144002 has 24 divisors (see below), whose sum is σ = 22350458439036. Its totient is φ = 3257556695136.

The previous prime is 10044133143991. The next prime is 10044133144009. The reversal of 10044133144002 is 20044133144001.

10044133144002 is a `hidden beast` number, since 100 + 4 + 413 + 3 + 144 + 0 + 0 + 2 = 666.

10044133144002 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 9734531040441 + 309602103561 = 3120021^2 + 556419^2 .

It is a super-2 number, since 2×10044133144002² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10044133144009) 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, 7540639833 + ... + 7540641164.

Almost surely, 2^{10044133144002} is an apocalyptic number.

10044133144002 is an abundant number, since it is smaller than the sum of its proper divisors (12306325295034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10044133144002 is a wasteful number, since it uses less digits than its factorization.

10044133144002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15081281042 (or 15081281039 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10044133144002 its reverse (20044133144001), we get a palindrome (30088266288003).

Subtracting 10044133144002 from its reverse (20044133144001), we obtain a palindrome (9999999999999).

The spelling of 10044133144002 in words is "ten trillion, forty-four billion, one hundred thirty-three million, one hundred forty-four thousand, two".