73144010304 has 42 divisors (see below), whose sum is σ = 209654100630. Its totient is φ = 24381336576.

The previous prime is 73144010281. The next prime is 73144010309. The reversal of 73144010304 is 40301044137.

73144010304 is a `hidden beast` number, since 7 + 314 + 40 + 1 + 0 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46915560000 + 26228450304 = 216600^2 + 161952^2 .

It is not an unprimeable number, because it can be changed into a prime (73144010309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63492489 + ... + 63493640.

Almost surely, 2^73144010304 is an apocalyptic number.

It is an amenable number.

73144010304 is an abundant number, since it is smaller than the sum of its proper divisors (136510090326).

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

73144010304 is a wasteful number, since it uses less digits than its factorization.

73144010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126986147 (or 126986134 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 73144010304 in words is "seventy-three billion, one hundred forty-four million, ten thousand, three hundred four".