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14054101105135 = 5713103587641797
BaseRepresentation
bin1100110010000011100110…
…1101000011100111101111
31211202120002110200212000011
43030200321231003213233
53320230244340331020
645520210453314051
72650242504224050
oct314407155034757
954676073625004
1014054101105135
114529346758723
1216ab942035927
137ac3b0554bb0
14368317710727
151958a583a35a
hexcc839b439ef

14054101105135 has 128 divisors (see below), whose sum is σ = 21053187477504. Its totient is φ = 8769671331840.

The previous prime is 14054101105117. The next prime is 14054101105139. The reversal of 14054101105135 is 53150110145041.

It is not a de Polignac number, because 14054101105135 - 27 = 14054101105007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14054101105097 and 14054101105106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14054101105139) 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, 17633752557 + ... + 17633753353.

It is an arithmetic number, because the mean of its divisors is an integer number (164478027168).

Almost surely, 214054101105135 is an apocalyptic number.

14054101105135 is a deficient number, since it is larger than the sum of its proper divisors (6999086372369).

14054101105135 is a wasteful number, since it uses less digits than its factorization.

14054101105135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153.

The product of its (nonzero) digits is 6000, while the sum is 31.

The spelling of 14054101105135 in words is "fourteen trillion, fifty-four billion, one hundred one million, one hundred five thousand, one hundred thirty-five".

Divisors: 1 5 7 13 35 65 91 103 455 515 587 641 721 797 1339 2935 3205 3605 3985 4109 4487 5579 6695 7631 8333 9373 10361 20545 22435 27895 38155 41665 46865 51805 53417 58331 60461 66023 72527 82091 267085 291655 302305 330115 362635 376267 410455 423227 462161 467839 510877 574637 785993 858299 1067183 1881335 2116135 2310805 2339195 2554385 2633869 2873185 3274873 3576139 3929965 4291495 4891471 5335915 5501951 6008093 6081907 6641401 7470281 13169345 16374365 17880695 24457355 27509755 30040465 30409535 33207005 34240297 37351405 38755501 42573349 46489807 48187417 52620331 171201485 193777505 212866745 232449035 240937085 263101655 271288507 299884799 337311919 368342317 503821513 626436421 684064303 1356442535 1499423995 1686559595 1841711585 2099193593 2519107565 3132182105 3420321515 3526750591 3898502387 4385054947 4788450121 10495967965 17633752955 19492511935 21925274735 23942250605 27289516709 30888134297 136447583545 154440671485 216216940079 401545745861 1081084700395 2007728729305 2810820221027 14054101105135