34102414144300 has 36 divisors (see below), whose sum is σ = 74074861327320. Its totient is φ = 13627578997120.

The previous prime is 34102414144207. The next prime is 34102414144333. The reversal of 34102414144300 is 344141420143.

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, 167230849 + ... + 167434648.

It is an arithmetic number, because the mean of its divisors is an integer number (2057635036870).

Almost surely, 2^{34102414144300} is an apocalyptic number.

It is an amenable number.

34102414144300 is an abundant number, since it is smaller than the sum of its proper divisors (39972447183020).

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

34102414144300 is a wasteful number, since it uses less digits than its factorization.

34102414144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334666530 (or 334666523 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 34102414144300 its reverse (344141420143), we get a palindrome (34446555564443).

The spelling of 34102414144300 in words is "thirty-four trillion, one hundred two billion, four hundred fourteen million, one hundred forty-four thousand, three hundred".