30144344244030 has 192 divisors, whose sum is σ = 79732355609088. Its totient is φ = 7900349748480.

The previous prime is 30144344244013. The next prime is 30144344244059. The reversal of 30144344244030 is 3044244344103.

30144344244030 is a `hidden beast` number, since 3 + 0 + 1 + 44 + 344 + 244 + 0 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5937429852 + ... + 5937434928.

It is an arithmetic number, because the mean of its divisors is an integer number (415272685464).

Almost surely, 2^{30144344244030} is an apocalyptic number.

30144344244030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30144344244030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39866177804544).

30144344244030 is an abundant number, since it is smaller than the sum of its proper divisors (49588011365058).

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

30144344244030 is a wasteful number, since it uses less digits than its factorization.

30144344244030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9151 (or 9148 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 30144344244030 its reverse (3044244344103), we get a palindrome (33188588588133).

The spelling of 30144344244030 in words is "thirty trillion, one hundred forty-four billion, three hundred forty-four million, two hundred forty-four thousand, thirty".