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14280856095 = 35111953611409
BaseRepresentation
bin11010100110011010…
…01001001000011111
31100212020221122201010
431103031021020133
5213221344343340
610321024150303
71013615162652
oct152315111037
940766848633
1014280856095
116069197610
122926768393
13146786610c
14996905899
15588b0eb80
hex35334921f

14280856095 has 128 divisors (see below), whose sum is σ = 27191116800. Its totient is φ = 6325862400.

The previous prime is 14280856027. The next prime is 14280856097. The reversal of 14280856095 is 59065808241.

14280856095 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14280856095 - 214 = 14280839711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14280856097) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 10134751 + ... + 10136159.

It is an arithmetic number, because the mean of its divisors is an integer number (212430600).

Almost surely, 214280856095 is an apocalyptic number.

14280856095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14280856095 is a deficient number, since it is larger than the sum of its proper divisors (12910260705).

14280856095 is a wasteful number, since it uses less digits than its factorization.

14280856095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561.

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 14280856095 in words is "fourteen billion, two hundred eighty million, eight hundred fifty-six thousand, ninety-five".

Divisors: 1 3 5 11 15 19 33 53 55 57 61 95 159 165 183 209 265 285 305 583 627 671 795 915 1007 1045 1159 1409 1749 2013 2915 3021 3135 3233 3355 3477 4227 5035 5795 7045 8745 9699 10065 11077 12749 15105 15499 16165 17385 21135 26771 33231 35563 38247 46497 48495 55385 61427 63745 74677 77495 80313 85949 106689 133855 166155 177815 184281 191235 224031 232485 257847 294481 307135 373385 401565 429745 533445 675697 821447 883443 921405 945439 1120155 1289235 1418863 1472405 1633031 2027091 2464341 2836317 3378485 4107235 4256589 4417215 4555297 4727195 4899093 7094315 8165155 10135455 12321705 13665891 14181585 15607493 17963341 21282945 22776485 24495465 46822479 50108267 53890023 68329455 78037465 86550643 89816705 150324801 234112395 250541335 259651929 269450115 432753215 751624005 952057073 1298259645 2856171219 4760285365 14280856095