305305200451242 has 48 divisors (see below), whose sum is σ = 690503799885120. Its totient is φ = 97308633191616.

The previous prime is 305305200451217. The next prime is 305305200451247. The reversal of 305305200451242 is 242154002503503.

305305200451242 is a `hidden beast` number, since 3 + 0 + 5 + 3 + 0 + 520 + 0 + 4 + 5 + 124 + 2 = 666.

It is a super-3 number, since 3×305305200451242³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 305305200451197 and 305305200451206.

It is not an unprimeable number, because it can be changed into a prime (305305200451247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131628892 + ... + 133928247.

It is an arithmetic number, because the mean of its divisors is an integer number (14385495830940).

Almost surely, 2^{305305200451242} is an apocalyptic number.

305305200451242 is an abundant number, since it is smaller than the sum of its proper divisors (385198599433878).

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

305305200451242 is a wasteful number, since it uses less digits than its factorization.

305305200451242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265559947 (or 265559944 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 305305200451242 its reverse (242154002503503), we get a palindrome (547459202954745).

The spelling of 305305200451242 in words is "three hundred five trillion, three hundred five billion, two hundred million, four hundred fifty-one thousand, two hundred forty-two".