24231000013242 has 64 divisors (see below), whose sum is σ = 53305899379200. Its totient is φ = 7282103371200.

The previous prime is 24231000013177. The next prime is 24231000013247.

It is a happy number.

24231000013242 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×24231000013242³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (24231000013247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866884 + ... + 7015232.

It is an arithmetic number, because the mean of its divisors is an integer number (832904677800).

Almost surely, 2^{24231000013242} is an apocalyptic number.

24231000013242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24231000013242 is an abundant number, since it is smaller than the sum of its proper divisors (29074899365958).

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

24231000013242 is a wasteful number, since it uses less digits than its factorization.

24231000013242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148859.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 242310000 and 13242, that added together give a palindrome (242323242).

The spelling of 24231000013242 in words is "twenty-four trillion, two hundred thirty-one billion, thirteen thousand, two hundred forty-two".