30271824144 has 165 divisors, whose sum is σ = 88471229623. Its totient is φ = 10034235936.

The previous prime is 30271824139. The next prime is 30271824161. The reversal of 30271824144 is 44142817203.

The square root of 30271824144 is 173988.

It is a perfect power (a square), and thus also a powerful number.

30271824144 is a `hidden beast` number, since 302 + 71 + 8 + 241 + 44 = 666.

It is a super-2 number, since 2×30271824144² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30271824099 and 30271824108.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 169116247 + ... + 169116425.

Almost surely, 2^30271824144 is an apocalyptic number.

30271824144 is the 173988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30271824144

30271824144 is an abundant number, since it is smaller than the sum of its proper divisors (58199405479).

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

30271824144 is an frugal number, since it uses more digits than its factorization.

30271824144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Multiplying 30271824144 by its sum of digits (36), we get a square (1089785669184 = 1043928²).

30271824144 divided by its sum of digits (36) gives a square (840884004 = 28998²).

The spelling of 30271824144 in words is "thirty billion, two hundred seventy-one million, eight hundred twenty-four thousand, one hundred forty-four".