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14145775300 = 2252330142853
BaseRepresentation
bin11010010110010011…
…10110011011000100
31100111211202211200201
431023021312123010
5212432304302200
610255401020244
71010355051256
oct151311663304
940454684621
1014145775300
115aa9a15398
1228a9484684
13144588bb57
149829c1cd6
1557bd2ac6a
hex34b2766c4

14145775300 has 36 divisors (see below), whose sum is σ = 30706348036. Its totient is φ = 5656464000.

The previous prime is 14145775297. The next prime is 14145775331. The reversal of 14145775300 is 357754141.

14145775300 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 100681156 + 14045094144 = 10034^2 + 118512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14145775300.

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 11 ways as a sum of consecutive naturals, for example, 308674 + ... + 351526.

Almost surely, 214145775300 is an apocalyptic number.

14145775300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14145775300 is an abundant number, since it is smaller than the sum of its proper divisors (16560572736).

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

14145775300 is a wasteful number, since it uses less digits than its factorization.

14145775300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46168 (or 46161 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 14145775300 in words is "fourteen billion, one hundred forty-five million, seven hundred seventy-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3301 6602 13204 16505 33010 42853 66020 82525 85706 165050 171412 214265 330100 428530 857060 1071325 2142650 4285300 141457753 282915506 565831012 707288765 1414577530 2829155060 3536443825 7072887650 14145775300