305142314332401 has 72 divisors (see below), whose sum is σ = 576169339112640. Its totient is φ = 153956179548864.

The previous prime is 305142314332253. The next prime is 305142314332403. The reversal of 305142314332401 is 104233413241503.

305142314332401 is a `hidden beast` number, since 3 + 0 + 5 + 1 + 4 + 2 + 314 + 332 + 4 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-305142314332401 is a prime.

It is a super-2 number, since 2×305142314332401² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (305142314332403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1156946211 + ... + 1157209928.

It is an arithmetic number, because the mean of its divisors is an integer number (8002351932120).

Almost surely, 2^{305142314332401} is an apocalyptic number.

It is an amenable number.

305142314332401 is a deficient number, since it is larger than the sum of its proper divisors (271027024780239).

305142314332401 is a wasteful number, since it uses less digits than its factorization.

305142314332401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314156195 (or 2314156185 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 305142314332401 its reverse (104233413241503), we get a palindrome (409375727573904).

The spelling of 305142314332401 in words is "three hundred five trillion, one hundred forty-two billion, three hundred fourteen million, three hundred thirty-two thousand, four hundred one".