142932242422944 has 288 divisors, whose sum is σ = 442739446989840. Its totient is φ = 43477848981504.

The previous prime is 142932242422943. The next prime is 142932242422987. The reversal of 142932242422944 is 449224242239241.

142932242422944 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 322 + 4 + 24 + 2 + 294 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5212910912400 + 137719331510544 = 2283180^2 + 11735388^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (142932242422943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164140762 + ... + 165009254.

Almost surely, 2^{142932242422944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142932242422944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221369723494920).

142932242422944 is an abundant number, since it is smaller than the sum of its proper divisors (299807204566896).

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

142932242422944 is a wasteful number, since it uses less digits than its factorization.

142932242422944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869024 (or 869013 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 54.

The spelling of 142932242422944 in words is "one hundred forty-two trillion, nine hundred thirty-two billion, two hundred forty-two million, four hundred twenty-two thousand, nine hundred forty-four".