242314320130176 has 128 divisors (see below), whose sum is σ = 735928262213760. Its totient is φ = 69201489346560.

The previous prime is 242314320130117. The next prime is 242314320130177. The reversal of 242314320130176 is 671031023413242.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (242314320130177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14324121 + ... + 26264216.

It is an arithmetic number, because the mean of its divisors is an integer number (5749439548545).

Almost surely, 2^{242314320130176} is an apocalyptic number.

It is an amenable number.

242314320130176 is an abundant number, since it is smaller than the sum of its proper divisors (493613942083584).

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

242314320130176 is a wasteful number, since it uses less digits than its factorization.

242314320130176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40590582 (or 40590570 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 242314320130176 in words is "two hundred forty-two trillion, three hundred fourteen billion, three hundred twenty million, one hundred thirty thousand, one hundred seventy-six".