24304144140342 has 48 divisors (see below), whose sum is σ = 57469986699840. Its totient is φ = 7361837314800.

The previous prime is 24304144140329. The next prime is 24304144140379.

24304144140342 is a `hidden beast` number, since 2 + 4 + 30 + 4 + 144 + 140 + 342 = 666.

24304144140342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24304144140297 and 24304144140306.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24978492 + ... + 25933247.

It is an arithmetic number, because the mean of its divisors is an integer number (1197291389580).

Almost surely, 2^{24304144140342} is an apocalyptic number.

24304144140342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24304144140342 is an abundant number, since it is smaller than the sum of its proper divisors (33165842559498).

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

24304144140342 is a wasteful number, since it uses less digits than its factorization.

24304144140342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50914169 (or 50914166 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 2430414 and 4140342, that added together give a palindrome (6570756).

The spelling of 24304144140342 in words is "twenty-four trillion, three hundred four billion, one hundred forty-four million, one hundred forty thousand, three hundred forty-two".