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14409785205 = 3252911041981
BaseRepresentation
bin11010110101110001…
…11101111101110101
31101012020112221012100
431122320331331311
5214002401111310
610341511412313
71020042103404
oct153270757565
941166487170
1014409785205
116124a479a2
122961984099
13148849832a
149a9aa763b
155950caec0
hex35ae3df75

14409785205 has 24 divisors (see below), whose sum is σ = 25838237880. Its totient is φ = 7420210560.

The previous prime is 14409785197. The next prime is 14409785237. The reversal of 14409785205 is 50258790441.

14409785205 is a `hidden beast` number, since 14 + 40 + 9 + 78 + 520 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2899499409 + 11510285796 = 53847^2 + 107286^2 .

It is not a de Polignac number, because 14409785205 - 23 = 14409785197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5519686 + ... + 5522295.

It is an arithmetic number, because the mean of its divisors is an integer number (1076593245).

Almost surely, 214409785205 is an apocalyptic number.

14409785205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14409785205 is a deficient number, since it is larger than the sum of its proper divisors (11428452675).

14409785205 is a wasteful number, since it uses less digits than its factorization.

14409785205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11042021 (or 11042018 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 14409785205 in words is "fourteen billion, four hundred nine million, seven hundred eighty-five thousand, two hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 11041981 33125943 55209905 99377829 165629715 320217449 496889145 960652347 1601087245 2881957041 4803261735 14409785205