24142322324142 has 48 divisors (see below), whose sum is σ = 57068663079168. Its totient is φ = 7315215233040.

The previous prime is 24142322324129. The next prime is 24142322324167.

24142322324142 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 2 + 3 + 2 + 232 + 414 + 2 = 666.

24142322324142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24142322324097 and 24142322324106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3062038 + ... + 7593465.

It is an arithmetic number, because the mean of its divisors is an integer number (1188930480816).

Almost surely, 2^{24142322324142} is an apocalyptic number.

24142322324142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24142322324142 is an abundant number, since it is smaller than the sum of its proper divisors (32926340755026).

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

24142322324142 is a wasteful number, since it uses less digits than its factorization.

24142322324142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666965 (or 10666962 counting only the distinct ones).

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

It can be divided in two parts, 2414232 and 2324142, that added together give a palindrome (4738374).

The spelling of 24142322324142 in words is "twenty-four trillion, one hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, one hundred forty-two".