30144123306 has 48 divisors (see below), whose sum is σ = 71838643968. Its totient is φ = 9134575560.

The previous prime is 30144123271. The next prime is 30144123313. The reversal of 30144123306 is 60332144103.

30144123306 is a `hidden beast` number, since 301 + 44 + 12 + 3 + 306 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30144123306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605146 + ... + 653061.

It is an arithmetic number, because the mean of its divisors is an integer number (1496638416).

Almost surely, 2^30144123306 is an apocalyptic number.

30144123306 is an abundant number, since it is smaller than the sum of its proper divisors (41694520662).

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

30144123306 is a wasteful number, since it uses less digits than its factorization.

30144123306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258248 (or 1258223 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 30144123306 its reverse (60332144103), we get a palindrome (90476267409).

The spelling of 30144123306 in words is "thirty billion, one hundred forty-four million, one hundred twenty-three thousand, three hundred six".