242315848300 has 72 divisors (see below), whose sum is σ = 557726178240. Its totient is φ = 91123905600.

The previous prime is 242315848283. The next prime is 242315848349. The reversal of 242315848300 is 3848513242.

242315848300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242315848300² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 237874 + ... + 735673.

It is an arithmetic number, because the mean of its divisors is an integer number (7746196920).

Almost surely, 2^242315848300 is an apocalyptic number.

242315848300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242315848300 is an abundant number, since it is smaller than the sum of its proper divisors (315410329940).

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

242315848300 is a wasteful number, since it uses less digits than its factorization.

242315848300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973711 (or 973704 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 242315848300 in words is "two hundred forty-two billion, three hundred fifteen million, eight hundred forty-eight thousand, three hundred".