24143834142 has 96 divisors (see below), whose sum is σ = 54196309440. Its totient is φ = 7764664320.

The previous prime is 24143834101. The next prime is 24143834149.

24143834142 is a `hidden beast` number, since 24 + 143 + 83 + 414 + 2 = 666.

24143834142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24143834097 and 24143834106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24143834149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12780334 + ... + 12782222.

It is an arithmetic number, because the mean of its divisors is an integer number (564544890).

Almost surely, 2^24143834142 is an apocalyptic number.

24143834142 is an abundant number, since it is smaller than the sum of its proper divisors (30052475298).

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

24143834142 is a wasteful number, since it uses less digits than its factorization.

24143834142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2175 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 24143834142 in words is "twenty-four billion, one hundred forty-three million, eight hundred thirty-four thousand, one hundred forty-two".