30141517248 has 168 divisors, whose sum is σ = 89464652160. Its totient is φ = 9692282880.

The previous prime is 30141517243. The next prime is 30141517267. The reversal of 30141517248 is 84271514103.

30141517248 is a `hidden beast` number, since 30 + 1 + 415 + 172 + 48 = 666.

It is a super-2 number, since 2×30141517248² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30141517243) 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 23 ways as a sum of consecutive naturals, for example, 6014968 + ... + 6019976.

Almost surely, 2^30141517248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30141517248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44732326080).

30141517248 is an abundant number, since it is smaller than the sum of its proper divisors (59323134912).

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

30141517248 is a wasteful number, since it uses less digits than its factorization.

30141517248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 30141517248 in words is "thirty billion, one hundred forty-one million, five hundred seventeen thousand, two hundred forty-eight".