Search a number
-
+
14218286355 = 32571331311093
BaseRepresentation
bin11010011110111100…
…11101010100010011
31100200220012210011100
431033132131110103
5213104340130410
610310511115443
71012225303620
oct151736352423
940626183140
1014218286355
116036940a89
122909812b83
1314578c95c0
1498c499347
155833a08c0
hex34f79d513

14218286355 has 96 divisors (see below), whose sum is σ = 30431995776. Its totient is φ = 5980096512.

The previous prime is 14218286351. The next prime is 14218286363. The reversal of 14218286355 is 55368281241.

14218286355 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 8 + 2 + 8 + 635 + 5 = 666.

It is not a de Polignac number, because 14218286355 - 22 = 14218286351 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14218286355.

It is not an unprimeable number, because it can be changed into a prime (14218286351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1276189 + ... + 1287281.

It is an arithmetic number, because the mean of its divisors is an integer number (316999956).

Almost surely, 214218286355 is an apocalyptic number.

14218286355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14218286355 is an abundant number, since it is smaller than the sum of its proper divisors (16213709421).

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

14218286355 is a wasteful number, since it uses less digits than its factorization.

14218286355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11437 (or 11434 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 14218286355 in words is "fourteen billion, two hundred eighteen million, two hundred eighty-six thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 313 315 455 585 819 939 1365 1565 2191 2817 4069 4095 4695 6573 10955 11093 12207 14085 19719 20345 28483 32865 33279 36621 55465 61035 77651 85449 98595 99837 142415 144209 166395 183105 232953 256347 388255 427245 432627 499185 698859 721045 1009463 1164765 1281735 1297881 2163135 3028389 3472109 3494295 5047315 6489405 9085167 10416327 15141945 17360545 24304763 31248981 45137417 45425835 52081635 72914289 121523815 135412251 156244905 218742867 225687085 315961919 364571445 406236753 677061255 947885757 1093714335 1579809595 2031183765 2843657271 4739428785 14218286355