305455402000242 has 40 divisors (see below), whose sum is σ = 737096084034156. Its totient is φ = 93986277537888.

The previous prime is 305455402000241. The next prime is 305455402000249. The reversal of 305455402000242 is 242000204554503.

305455402000242 is a `hidden beast` number, since 3 + 0 + 5 + 4 + 5 + 5 + 402 + 0 + 0 + 0 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213075065662281 + 92380336337961 = 14597091^2 + 9611469^2 .

It is a super-2 number, since 2×305455402000242² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 305455402000197 and 305455402000206.

It is not an unprimeable number, because it can be changed into a prime (305455402000241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72520273773 + ... + 72520277984.

Almost surely, 2^{305455402000242} is an apocalyptic number.

305455402000242 is an abundant number, since it is smaller than the sum of its proper divisors (431640682033914).

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

305455402000242 is a wasteful number, since it uses less digits than its factorization.

305455402000242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145040551784 (or 145040551775 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 305455402000242 its reverse (242000204554503), we get a palindrome (547455606554745).

The spelling of 305455402000242 in words is "three hundred five trillion, four hundred fifty-five billion, four hundred two million, two hundred forty-two", and thus it is an aban number.