24113231142 has 288 divisors, whose sum is σ = 69325030656. Its totient is φ = 5527589760.

The previous prime is 24113231123. The next prime is 24113231159.

24113231142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24113231142² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10635493 + ... + 10637759.

It is an arithmetic number, because the mean of its divisors is an integer number (240711912).

Almost surely, 2^24113231142 is an apocalyptic number.

24113231142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24113231142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34662515328).

24113231142 is an abundant number, since it is smaller than the sum of its proper divisors (45211799514).

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

24113231142 is a wasteful number, since it uses less digits than its factorization.

24113231142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2326 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

It can be divided in two parts, 24113 and 231142, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 24113231142 in words is "twenty-four billion, one hundred thirteen million, two hundred thirty-one thousand, one hundred forty-two".