242403303304242 has 288 divisors, whose sum is σ = 579544731792000. Its totient is φ = 73122519859200.

The previous prime is 242403303304223. The next prime is 242403303304249.

242403303304242 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 0 + 3 + 303 + 304 + 2 + 42 = 666.

242403303304242 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×242403303304242² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242403303304197 and 242403303304206.

It is not an unprimeable number, because it can be changed into a prime (242403303304249) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79711706242 + ... + 79711709282.

It is an arithmetic number, because the mean of its divisors is an integer number (2012308096500).

Almost surely, 2^{242403303304242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242403303304242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289772365896000).

242403303304242 is an abundant number, since it is smaller than the sum of its proper divisors (337141428487758).

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

242403303304242 is a wasteful number, since it uses less digits than its factorization.

242403303304242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 24240330 and 3304242, that added together give a palindrome (27544572).

The spelling of 242403303304242 in words is "two hundred forty-two trillion, four hundred three billion, three hundred three million, three hundred four thousand, two hundred forty-two".