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14365022056341 = 3111954834178501
BaseRepresentation
bin1101000100001001111000…
…0010010110111110010101
31212212021122002022200102120
43101002132002112332111
53340324031121300331
650315111112330153
73011560431550335
oct321023602267625
955767562280376
1014365022056341
114639198501230
1217400549a3959
13802800ac19b8
143793b10270c5
1519da01b71796
hexd109e096f95

14365022056341 has 32 divisors (see below), whose sum is σ = 21998308769280. Its totient is φ = 8246353320000.

The previous prime is 14365022056289. The next prime is 14365022056391.

14365022056341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14365022056341 - 218 = 14365021794197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14365022056293 and 14365022056302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14365022056391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348591 + ... + 5527091.

It is an arithmetic number, because the mean of its divisors is an integer number (687447149040).

Almost surely, 214365022056341 is an apocalyptic number.

14365022056341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14365022056341 is a deficient number, since it is larger than the sum of its proper divisors (7633286712939).

14365022056341 is a wasteful number, since it uses less digits than its factorization.

14365022056341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184017.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 14365022056341 in words is "fourteen trillion, three hundred sixty-five billion, twenty-two million, fifty-six thousand, three hundred forty-one".

Divisors: 1 3 11 19 33 57 209 627 5483 16449 60313 104177 180939 312531 1145947 3437841 4178501 12535503 45963511 79391519 137890533 238174557 873306709 2619920127 22910720983 68732162949 252017930813 435303698677 756053792439 1305911096031 4788340685447 14365022056341