10033144240104 has 24 divisors (see below), whose sum is σ = 27173098983810. Its totient is φ = 3344381413344.

The previous prime is 10033144240087. The next prime is 10033144240157. The reversal of 10033144240104 is 40104244133001.

10033144240104 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 314 + 4 + 240 + 104 = 666.

10033144240104 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 only one way, i.e., 7897167836100 + 2135976404004 = 2810190^2 + 1461498^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69674612707 + ... + 69674612850.

Almost surely, 2^{10033144240104} is an apocalyptic number.

It is an amenable number.

10033144240104 is an abundant number, since it is smaller than the sum of its proper divisors (17139954743706).

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

10033144240104 is a wasteful number, since it uses less digits than its factorization.

10033144240104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139349225569 (or 139349225562 counting only the distinct ones).

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

Adding to 10033144240104 its reverse (40104244133001), we get a palindrome (50137388373105).

The spelling of 10033144240104 in words is "ten trillion, thirty-three billion, one hundred forty-four million, two hundred forty thousand, one hundred four".