306401110144 has 32 divisors (see below), whose sum is σ = 611930779740. Its totient is φ = 152818483200.

The previous prime is 306401110117. The next prime is 306401110151. The reversal of 306401110144 is 441011104603.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 305720526400 + 680583744 = 552920^2 + 26088^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2933409 + ... + 3036064.

Almost surely, 2^306401110144 is an apocalyptic number.

It is an amenable number.

306401110144 is a deficient number, since it is larger than the sum of its proper divisors (305529669596).

306401110144 is an equidigital number, since it uses as much as digits as its factorization.

306401110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969888 (or 5969876 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 306401110144 its reverse (441011104603), we get a palindrome (747412214747).

The spelling of 306401110144 in words is "three hundred six billion, four hundred one million, one hundred ten thousand, one hundred forty-four".