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500214453040134 = 232741962310062163
BaseRepresentation
bin111000110111100010100000…
…0110010001111010000000110
32102121010000221021210211201200
41301233011000302033100012
51011031003144434241014
64531511203010403330
7210235205312631060
oct16157050062172006
92377100837724650
10500214453040134
111354248381a4a38
1248128ab4290546
1318616036114401
148b74719c64730
153cc6ad4b44a09
hex1c6f140c8f406

500214453040134 has 96 divisors (see below), whose sum is σ = 1268968642066944. Its totient is φ = 139418096780160.

The previous prime is 500214453040087. The next prime is 500214453040147. The reversal of 500214453040134 is 431040354412005.

500214453040134 is a `hidden beast` number, since 5 + 0 + 0 + 214 + 4 + 5 + 3 + 0 + 401 + 34 = 666.

It is a congruent number.

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, 44681337 + ... + 54743499.

It is an arithmetic number, because the mean of its divisors is an integer number (13218423354864).

Almost surely, 2500214453040134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500214453040134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634484321033472).

500214453040134 is an abundant number, since it is smaller than the sum of its proper divisors (768754189026810).

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

500214453040134 is a wasteful number, since it uses less digits than its factorization.

500214453040134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10071842 (or 10071839 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 500214453040134 in words is "five hundred trillion, two hundred fourteen billion, four hundred fifty-three million, forty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2583 5166 9623 19246 28869 57738 67361 86607 134722 173214 202083 394543 404166 606249 789086 1183629 1212498 2367258 2761801 3550887 5523602 7101774 8285403 10062163 16570806 20124326 24856209 30186489 49712418 60372978 70435141 90559467 140870282 181118934 211305423 412548683 422610846 633916269 825097366 1237646049 1267832538 2475292098 2887840781 3712938147 5775681562 7425876294 8663522343 17327044686 25990567029 51981134058 96828194549 193656389098 290484583647 580969167294 677797361843 871453750941 1355594723686 1742907501882 2033392085529 3969955976509 4066784171058 6100176256587 7939911953018 11909867929527 12200352513174 23819735859054 27789691835563 35729603788581 55579383671126 71459207577162 83369075506689 166738151013378 250107226520067 500214453040134