242256303652242 has 96 divisors (see below), whose sum is σ = 534988964353536. Its totient is φ = 73076702307840.

The previous prime is 242256303652217. The next prime is 242256303652267.

242256303652242 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (242256303652217) and next prime (242256303652267).

It is a junction number, because it is equal to n+sod(n) for n = 242256303652191 and 242256303652200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2774402368 + ... + 2774489684.

It is an arithmetic number, because the mean of its divisors is an integer number (5572801712016).

Almost surely, 2^{242256303652242} is an apocalyptic number.

242256303652242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242256303652242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267494482176768).

242256303652242 is an abundant number, since it is smaller than the sum of its proper divisors (292732660701294).

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

242256303652242 is a wasteful number, since it uses less digits than its factorization.

242256303652242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104704 (or 104693 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

It can be divided in two parts, 24225630 and 3652242, that added together give a palindrome (27877872).

The spelling of 242256303652242 in words is "two hundred forty-two trillion, two hundred fifty-six billion, three hundred three million, six hundred fifty-two thousand, two hundred forty-two".