30205142814 has 48 divisors (see below), whose sum is σ = 76661669376. Its totient is φ = 7845490800.

The previous prime is 30205142813. The next prime is 30205142831. The reversal of 30205142814 is 41824150203.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30205142813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4666702 + ... + 4673169.

It is an arithmetic number, because the mean of its divisors is an integer number (1597118112).

Almost surely, 2^30205142814 is an apocalyptic number.

30205142814 is an abundant number, since it is smaller than the sum of its proper divisors (46456526562).

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

30205142814 is a wasteful number, since it uses less digits than its factorization.

30205142814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9339901 (or 9339894 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

It can be divided in two parts, 302051 and 42814, that added together give a triangular number (344865 = T₈₃₀).

The spelling of 30205142814 in words is "thirty billion, two hundred five million, one hundred forty-two thousand, eight hundred fourteen".