242312242213242 has 48 divisors (see below), whose sum is σ = 527726869113600. Its totient is φ = 80352866902176.

The previous prime is 242312242213213. The next prime is 242312242213303.

It is a happy number.

242312242213242 is a `hidden beast` number, since 2 + 42 + 3 + 1 + 22 + 422 + 132 + 42 = 666.

242312242213242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242312242213197 and 242312242213206.

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, 18964108 + ... + 29056184.

It is an arithmetic number, because the mean of its divisors is an integer number (10994309773200).

Almost surely, 2^{242312242213242} is an apocalyptic number.

242312242213242 is an abundant number, since it is smaller than the sum of its proper divisors (285414626900358).

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

242312242213242 is a wasteful number, since it uses less digits than its factorization.

242312242213242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10098987 (or 10098984 counting only the distinct ones).

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

The spelling of 242312242213242 in words is "two hundred forty-two trillion, three hundred twelve billion, two hundred forty-two million, two hundred thirteen thousand, two hundred forty-two".