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14055003335205 = 3257431145171347
BaseRepresentation
bin1100110010000110111101…
…1110110010101000100101
31211202122102100101212222200
43030201233132302220211
53320234121323211310
645520440203245113
72650304041111320
oct314415736625045
954678370355880
1014055003335205
114529769a73508
1216abb54219799
137ac4c544c641
143683a148b7b7
15195909b579c0
hexcc86f7b2a25

14055003335205 has 96 divisors (see below), whose sum is σ = 27926515888128. Its totient is φ = 6405729264000.

The previous prime is 14055003335203. The next prime is 14055003335237. The reversal of 14055003335205 is 50253330055041.

14055003335205 is a `hidden beast` number, since 1 + 40 + 550 + 0 + 33 + 35 + 2 + 0 + 5 = 666.

It is not a de Polignac number, because 14055003335205 - 21 = 14055003335203 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14055003335205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14055003335203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196959342 + ... + 197030688.

It is an arithmetic number, because the mean of its divisors is an integer number (290901207168).

Almost surely, 214055003335205 is an apocalyptic number.

14055003335205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14055003335205 is a deficient number, since it is larger than the sum of its proper divisors (13871512552923).

14055003335205 is a wasteful number, since it uses less digits than its factorization.

14055003335205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73247 (or 73244 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 14055003335205 in words is "fourteen trillion, fifty-five billion, three million, three hundred thirty-five thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 431 1293 1451 2155 3017 3879 4353 6465 7255 9051 10157 13059 15085 19395 21765 27153 30471 45255 50785 65295 71347 91413 135765 152355 214041 356735 457065 499429 625381 642123 1070205 1498287 1876143 2497145 3126905 3210615 4377667 4494861 5628429 7491435 9380715 13133001 21888335 22474305 28142145 30750557 39399003 65665005 92251671 103524497 153752785 196995015 215253899 276755013 310573491 461258355 517622485 645761697 724671479 931720473 1076269495 1383775065 1552867455 1937285091 2174014437 3228808485 3623357395 4658602365 6522043311 9686425455 10870072185 32610216555 44619058207 133857174621 223095291035 312333407449 401571523863 669285873105 937000222347 1561667037245 2007857619315 2811000667041 4685001111735 14055003335205