30901420944 has 225 divisors, whose sum is σ = 94761389217. Its totient is φ = 9720373248.

The previous prime is 30901420889. The next prime is 30901420967. The reversal of 30901420944 is 44902410903.

The square root of 30901420944 is 175788.

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

It can be written as a sum of positive squares in only one way, i.e., 30422336400 + 479084544 = 174420^2 + 21888^2 .

It is a super-2 number, since 2×30901420944² (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 junction number, because it is equal to n+sod(n) for n = 30901420899 and 30901420908.

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 44 ways as a sum of consecutive naturals, for example, 120238864 + ... + 120239120.

Almost surely, 2^30901420944 is an apocalyptic number.

30901420944 is the 175788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30901420944

30901420944 is an abundant number, since it is smaller than the sum of its proper divisors (63859968273).

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

30901420944 is an equidigital number, since it uses as much as digits as its factorization.

30901420944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 30901420944 by its sum of digits (36), we get a square (1112451153984 = 1054728²).

30901420944 divided by its sum of digits (36) gives a square (858372804 = 29298²).

The spelling of 30901420944 in words is "thirty billion, nine hundred one million, four hundred twenty thousand, nine hundred forty-four".