10001434144 has 48 divisors (see below), whose sum is σ = 21218729112. Its totient is φ = 4613050368.

The previous prime is 10001434021. The next prime is 10001434151. The reversal of 10001434144 is 44143410001.

It can be written as a sum of positive squares in 4 ways, for example, as 6494425744 + 3507008400 = 80588^2 + 59220^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 713992 + ... + 727864.

Almost surely, 2^10001434144 is an apocalyptic number.

It is an amenable number.

10001434144 is an abundant number, since it is smaller than the sum of its proper divisors (11217294968).

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

10001434144 is a wasteful number, since it uses less digits than its factorization.

10001434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15629 (or 15621 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10001434144 its reverse (44143410001), we get a palindrome (54144844145).

The spelling of 10001434144 in words is "ten billion, one million, four hundred thirty-four thousand, one hundred forty-four".