242311242113242 has 48 divisors (see below), whose sum is σ = 387416857973472. Its totient is φ = 113638103762400.

The previous prime is 242311242113191. The next prime is 242311242113249.

It is a happy number.

242311242113242 is nontrivially palindromic in base 10.

242311242113242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242311242113198 and 242311242113207.

It is not an unprimeable number, because it can be changed into a prime (242311242113249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2508687273 + ... + 2508783859.

It is an arithmetic number, because the mean of its divisors is an integer number (8071184541114).

Almost surely, 2^{242311242113242} is an apocalyptic number.

242311242113242 is a deficient number, since it is larger than the sum of its proper divisors (145105615860230).

242311242113242 is a wasteful number, since it uses less digits than its factorization.

242311242113242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131131 (or 131112 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The spelling of 242311242113242 in words is "two hundred forty-two trillion, three hundred eleven billion, two hundred forty-two million, one hundred thirteen thousand, two hundred forty-two".