242315513242 has 64 divisors (see below), whose sum is σ = 409970968704. Its totient is φ = 106465443840.

The previous prime is 242315513239. The next prime is 242315513267.

242315513242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242315513198 and 242315513207.

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, 35964498 + ... + 35971234.

It is an arithmetic number, because the mean of its divisors is an integer number (6405796386).

Almost surely, 2^242315513242 is an apocalyptic number.

242315513242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242315513242 is a deficient number, since it is larger than the sum of its proper divisors (167655455462).

242315513242 is a wasteful number, since it uses less digits than its factorization.

242315513242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7183.

The product of its digits is 57600, while the sum is 34.

It can be divided in two parts, 242315 and 513242, that added together give a palindrome (755557).

The spelling of 242315513242 in words is "two hundred forty-two billion, three hundred fifteen million, five hundred thirteen thousand, two hundred forty-two".