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14215400133165 = 32571123178372547
BaseRepresentation
bin1100111011011100011111…
…1000000001001000101101
31212022222102200021110110100
43032313013320001020231
53330401114413230130
650122244211301313
72665012603312020
oct316670770011055
955288380243410
1014215400133165
114590798864870
1217170588aa839
137c167797924a
143720599711b7
15199b96374c60
hexcedc7e0122d

14215400133165 has 96 divisors (see below), whose sum is σ = 32055687346176. Its totient is φ = 5650842257280.

The previous prime is 14215400133157. The next prime is 14215400133197. The reversal of 14215400133165 is 56133100451241.

14215400133165 is a `hidden beast` number, since 1 + 4 + 21 + 540 + 0 + 1 + 3 + 31 + 65 = 666.

14215400133165 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 14215400133165 - 23 = 14215400133157 is a prime.

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, 89106579 + ... + 89265968.

It is an arithmetic number, because the mean of its divisors is an integer number (333913409856).

Almost surely, 214215400133165 is an apocalyptic number.

14215400133165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14215400133165 is an abundant number, since it is smaller than the sum of its proper divisors (17840287213011).

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

14215400133165 is a wasteful number, since it uses less digits than its factorization.

14215400133165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178372599 (or 178372596 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 14215400133165 in words is "fourteen trillion, two hundred fifteen billion, four hundred million, one hundred thirty-three thousand, one hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 23 33 35 45 55 63 69 77 99 105 115 161 165 207 231 253 315 345 385 483 495 693 759 805 1035 1155 1265 1449 1771 2277 2415 3465 3795 5313 7245 8855 11385 15939 26565 79695 178372547 535117641 891862735 1248607829 1605352923 1962098017 2675588205 3745823487 4102568581 5886294051 6243039145 8026764615 9810490085 11237470461 12307705743 13734686119 17658882153 18729117435 20512842905 28717980067 29431470255 36923117229 41204058357 45128254391 56187352305 61538528715 68673430595 86153940201 88294410765 123612175071 135384763173 143589900335 184615586145 206020291785 225641271955 258461820603 315897780737 406154289519 430769701005 618060875355 676923815865 947693342211 1292309103015 1579488903685 2030771447595 2843080026633 4738466711055 14215400133165