14204134024100 has 36 divisors (see below), whose sum is σ = 30823403975364. Its totient is φ = 5681573767680.

The previous prime is 14204134024097. The next prime is 14204134024117. The reversal of 14204134024100 is 142043140241.

14204134024100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 264409867264 + 13939724156836 = 514208^2 + 3733594^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14204134024100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6428624 + ... + 8350776.

Almost surely, 2^{14204134024100} is an apocalyptic number.

14204134024100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14204134024100 is an abundant number, since it is smaller than the sum of its proper divisors (16619269951264).

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

14204134024100 is a wasteful number, since it uses less digits than its factorization.

14204134024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996064 (or 1996057 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14204134024100 its reverse (142043140241), we get a palindrome (14346177164341).

The spelling of 14204134024100 in words is "fourteen trillion, two hundred four billion, one hundred thirty-four million, twenty-four thousand, one hundred".