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14364540036 = 223271128318311
BaseRepresentation
bin11010110000011000…
…10111110010000100
31101002002102020111100
431120030113302010
5213404310240121
610333213540100
71015652401320
oct153014276204
941062366440
1014364540036
1161014545a0
12294a7a4630
13147bcb6242
149a3a8a980
15591140026
hex358317c84

14364540036 has 144 divisors (see below), whose sum is σ = 45432511488. Its totient is φ = 3717662400.

The previous prime is 14364540023. The next prime is 14364540061. The reversal of 14364540036 is 63004546341.

14364540036 is a `hidden beast` number, since 1 + 4 + 3 + 645 + 4 + 0 + 0 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775321 + ... + 793631.

It is an arithmetic number, because the mean of its divisors is an integer number (315503552).

Almost surely, 214364540036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14364540036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22716255744).

14364540036 is an abundant number, since it is smaller than the sum of its proper divisors (31067971452).

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

14364540036 is a wasteful number, since it uses less digits than its factorization.

14364540036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18622 (or 18617 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 14364540036 in words is "fourteen billion, three hundred sixty-four million, five hundred forty thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 283 308 396 462 566 693 849 924 1132 1386 1698 1981 2547 2772 3113 3396 3962 5094 5943 6226 7924 9339 10188 11886 12452 17829 18311 18678 21791 23772 28017 35658 36622 37356 43582 54933 56034 65373 71316 73244 87164 109866 112068 128177 130746 164799 196119 201421 219732 256354 261492 329598 384531 392238 402842 512708 604263 659196 769062 784476 805684 1153593 1208526 1409947 1538124 1812789 2307186 2417052 2819894 3625578 4229841 4614372 5182013 5639788 7251156 8459682 10364026 12689523 15546039 16919364 20728052 25379046 31092078 36274091 46638117 50758092 57002143 62184156 72548182 93276234 108822273 114004286 145096364 171006429 186552468 217644546 228008572 326466819 342012858 399015001 435289092 513019287 652933638 684025716 798030002 1026038574 1197045003 1305867276 1596060004 2052077148 2394090006 3591135009 4788180012 7182270018 14364540036