242514222415242 has 64 divisors (see below), whose sum is σ = 487326523392000. Its totient is φ = 80455450275200.

The previous prime is 242514222415237. The next prime is 242514222415307.

242514222415242 is nontrivially palindromic in base 10.

242514222415242 is digitally balanced in base 2 and base 4, because in such bases 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 = 242514222415194 and 242514222415203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33913326367 + ... + 33913333517.

It is an arithmetic number, because the mean of its divisors is an integer number (7614476928000).

Almost surely, 2^{242514222415242} is an apocalyptic number.

242514222415242 is an abundant number, since it is smaller than the sum of its proper divisors (244812300976758).

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

242514222415242 is a wasteful number, since it uses less digits than its factorization.

242514222415242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17131.

The product of its digits is 819200, while the sum is 42.

The spelling of 242514222415242 in words is "two hundred forty-two trillion, five hundred fourteen billion, two hundred twenty-two million, four hundred fifteen thousand, two hundred forty-two".