242443040344242 has 64 divisors (see below), whose sum is σ = 514022004950400. Its totient is φ = 76019311779840.

The previous prime is 242443040344207. The next prime is 242443040344247.

242443040344242 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×242443040344242² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242443040344194 and 242443040344203.

It is not an unprimeable number, because it can be changed into a prime (242443040344247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20411392 + ... + 30025172.

It is an arithmetic number, because the mean of its divisors is an integer number (8031593827350).

Almost surely, 2^{242443040344242} is an apocalyptic number.

242443040344242 is an abundant number, since it is smaller than the sum of its proper divisors (271578964606158).

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

242443040344242 is a wasteful number, since it uses less digits than its factorization.

242443040344242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9615371.

The product of its (nonzero) digits is 2359296, while the sum is 42.

The spelling of 242443040344242 in words is "two hundred forty-two trillion, four hundred forty-three billion, forty million, three hundred forty-four thousand, two hundred forty-two".