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14538374178084 = 223447245072
BaseRepresentation
bin1101001110001111101010…
…1000001110010100100100
31220110212002021220220010000
43103203322220032110210
53401144042242144314
650530500434101300
73030235315353231
oct323437250162444
956425067826100
1014538374178084
1146a5765233049
12176977411a830
13815c6937a173
14383937d66788
151a329a918209
hexd38faa0e524

14538374178084 has 135 divisors (see below), whose sum is σ = 38840647048203. Its totient is φ = 4741963322832.

The previous prime is 14538374178079. The next prime is 14538374178127. The reversal of 14538374178084 is 48087147383541.

It is a happy number.

The square root of 14538374178084 is 3812922.

It is a perfect power (a square), and thus also a powerful number.

14538374178084 is a `hidden beast` number, since 1 + 4 + 5 + 38 + 37 + 417 + 80 + 84 = 666.

It is a super-2 number, since 2×145383741780842 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3225729759 + ... + 3225734265.

Almost surely, 214538374178084 is an apocalyptic number.

14538374178084 is the 3812922-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14538374178084

14538374178084 is an abundant number, since it is smaller than the sum of its proper divisors (24302272870119).

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

14538374178084 is an frugal number, since it uses more digits than its factorization.

14538374178084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9124 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 14538374178084 in words is "fourteen trillion, five hundred thirty-eight billion, three hundred seventy-four million, one hundred seventy-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2209 2538 3807 4418 4507 5076 6627 7614 8836 9014 13254 13521 15228 18028 19881 26508 27042 39762 40563 54084 59643 79524 81126 119286 121689 162252 178929 211829 238572 243378 357858 365067 423658 486756 635487 715716 730134 847316 1270974 1460268 1906461 2541948 3812922 5719383 7625844 9955963 11438766 17158149 19911926 20313049 22877532 29867889 34316298 39823852 40626098 59735778 60939147 68632596 81252196 89603667 119471556 121878294 179207334 182817441 243756588 268811001 358414668 365634882 537622002 548452323 731269764 806433003 954713303 1075244004 1096904646 1612866006 1645356969 1909426606 2193809292 2864139909 3225732012 3290713938 3818853212 5728279818 6581427876 8592419727 11456559636 17184839454 25777259181 34369678908 44871525241 51554518362 77331777543 89743050482 103109036724 134614575723 154663555086 179486100964 269229151446 309327110172 403843727169 538458302892 807687454338 1211531181507 1615374908676 2423062363014 3634593544521 4846124726028 7269187089042 14538374178084