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14425364205 = 32571921111423
BaseRepresentation
bin11010110111101000…
…11001011011101101
31101020022212102120100
431123310121123231
5214020343123310
610343225341313
71020321400260
oct153364313355
941208772510
1014425364205
1161328186aa
122967037839
13148b791385
149abba0cd7
15596656ec0
hex35bd196ed

14425364205 has 96 divisors (see below), whose sum is σ = 30225162240. Its totient is φ = 6217223040.

The previous prime is 14425364171. The next prime is 14425364231. The reversal of 14425364205 is 50246352441.

14425364205 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 5 + 3 + 642 + 0 + 5 = 666.

It is not a de Polignac number, because 14425364205 - 27 = 14425364077 is a prime.

It is a super-2 number, since 2×144253642052 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14425364205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1257124 + ... + 1268546.

It is an arithmetic number, because the mean of its divisors is an integer number (314845440).

Almost surely, 214425364205 is an apocalyptic number.

14425364205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14425364205 is an abundant number, since it is smaller than the sum of its proper divisors (15799798035).

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

14425364205 is a wasteful number, since it uses less digits than its factorization.

14425364205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11671 (or 11668 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 14425364205 in words is "fourteen billion, four hundred twenty-five million, three hundred sixty-four thousand, two hundred five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 211 285 315 399 633 665 855 1055 1197 1477 1899 1995 3165 4009 4431 5985 7385 9495 11423 12027 13293 20045 22155 28063 34269 36081 57115 60135 66465 79961 84189 102807 140315 171345 180405 217037 239883 252567 399805 420945 514035 651111 719649 1085185 1199415 1262835 1519259 1953333 2410253 3255555 3598245 4557777 7230759 7596295 9766665 12051265 13673331 16871771 21692277 22788885 36153795 45794807 50615313 68366655 84358855 108461385 137384421 151845939 228974035 253076565 320563649 412153263 686922105 759229695 961690947 1602818245 2060766315 2885072841 4808454735 14425364205