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14155500334131 = 3313174770971191
BaseRepresentation
bin1100110111111101010110…
…0100011010110000110011
31212010020211011020101121000
43031333111210122300303
53323410431041143011
650034540322533043
72660462331364302
oct315772544326063
955106734211530
1014155500334131
11456834a9a6222
121707520507183
137b8b1cc03190
1436d1b6522439
1519833c816356
hexcdfd591ac33

14155500334131 has 128 divisors (see below), whose sum is σ = 24456331468800. Its totient is φ = 8012791019520.

The previous prime is 14155500334123. The next prime is 14155500334159. The reversal of 14155500334131 is 13143300555141.

14155500334131 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 550 + 0 + 33 + 41 + 31 = 666.

It is not a de Polignac number, because 14155500334131 - 23 = 14155500334123 is a prime.

It is a super-2 number, since 2×141555003341312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14155500333131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 198802746 + ... + 198873936.

It is an arithmetic number, because the mean of its divisors is an integer number (191065089600).

Almost surely, 214155500334131 is an apocalyptic number.

14155500334131 is a deficient number, since it is larger than the sum of its proper divisors (10300831134669).

14155500334131 is a wasteful number, since it uses less digits than its factorization.

14155500334131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71986 (or 71980 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 14155500334131 its reverse (13143300555141), we get a palindrome (27298800889272).

The spelling of 14155500334131 in words is "fourteen trillion, one hundred fifty-five billion, five hundred million, three hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 13 17 27 39 47 51 117 141 153 221 351 423 459 611 663 709 799 1269 1833 1989 2127 2397 5499 5967 6381 7191 9217 10387 12053 16497 19143 21573 27651 31161 33323 36159 71191 82953 93483 99969 108477 156689 213573 248859 280449 299907 325431 433199 470067 566491 640719 899721 925483 1210247 1299597 1410201 1699473 1922157 2776449 3345977 3630741 3898791 4230603 5098419 7364383 8329347 10037931 10892223 11696373 15295257 15733211 22093149 24988041 30113793 32676669 43497701 47199633 50474419 56881609 66279447 90341379 130493103 141598899 151423257 170644827 198838341 391479309 424796697 454269771 511934481 656167447 739460917 858065123 1174437927 1362809313 1535803443 1968502341 2218382751 2372297693 2574195369 5905507023 6655148253 7116893079 7722586107 11154846599 17716521069 19965444759 21350679237 23167758321 30839870009 33464539797 40329060781 64052037711 92519610027 100393619391 120987182343 277558830081 301180858173 362961547029 524277790153 832676490243 1088884641087 1572833370459 4718500111377 14155500334131