10242615144 has 32 divisors (see below), whose sum is σ = 25656876000. Its totient is φ = 3407493312.

The previous prime is 10242615137. The next prime is 10242615167. The reversal of 10242615144 is 44151624201.

It is a super-2 number, since 2×10242615144² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407014 + ... + 431445.

It is an arithmetic number, because the mean of its divisors is an integer number (801777375).

Almost surely, 2^10242615144 is an apocalyptic number.

It is an amenable number.

10242615144 is an abundant number, since it is smaller than the sum of its proper divisors (15414260856).

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

10242615144 is a wasteful number, since it uses less digits than its factorization.

10242615144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838977 (or 838973 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 10242615144 in words is "ten billion, two hundred forty-two million, six hundred fifteen thousand, one hundred forty-four".