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14168140900 = 2252119032
BaseRepresentation
bin11010011000111110…
…01010110001100100
31100120101212010112021
431030133022301210
5213004021002100
610301520232524
71011046132144
oct151437126144
940511763467
1014168140900
116010600a61
1228b4a6b744
13144a3bcc34
14985964924
1557dc97a1a
hex34c7cac64

14168140900 has 27 divisors (see below), whose sum is σ = 30747448921. Its totient is φ = 5666780240.

The previous prime is 14168140897. The next prime is 14168140939. The reversal of 14168140900 is 904186141.

The square root of 14168140900 is 119030.

It is a perfect power (a square), and thus also a powerful number.

14168140900 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 only one way, i.e., 5100530724 + 9067610176 = 71418^2 + 95224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1184349 + ... + 1196251.

Almost surely, 214168140900 is an apocalyptic number.

14168140900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14168140900 is the 119030-th square number.

It is an amenable number.

14168140900 is an abundant number, since it is smaller than the sum of its proper divisors (16579308021).

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

14168140900 is an frugal number, since it uses more digits than its factorization.

14168140900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23820 (or 11910 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 14168140900 in words is "fourteen billion, one hundred sixty-eight million, one hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11903 23806 47612 59515 119030 238060 297575 595150 1190300 141681409 283362818 566725636 708407045 1416814090 2833628180 3542035225 7084070450 14168140900