10144100042 has 64 divisors (see below), whose sum is σ = 16373728800. Its totient is φ = 4706657280.

The previous prime is 10144100017. The next prime is 10144100077. The reversal of 10144100042 is 24000144101.

10144100042 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 16 ways, for example, as 1500865081 + 8643234961 = 38741^2 + 92969^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26077184 + ... + 26077572.

Almost surely, 2^10144100042 is an apocalyptic number.

10144100042 is a deficient number, since it is larger than the sum of its proper divisors (6229628758).

10144100042 is a wasteful number, since it uses less digits than its factorization.

10144100042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10144100042 its reverse (24000144101), we get a palindrome (34144244143).

The spelling of 10144100042 in words is "ten billion, one hundred forty-four million, one hundred thousand, forty-two".