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42874177223304 = 2333783341637799
BaseRepresentation
bin10011011111110011011000…
…00110100111101010001000
312121210201202010102222021000
421233321230012213222020
521104422303332121204
6231104043005015000
712013362036252060
oct1157715406475210
9177721663388230
1042874177223304
111272a922351389
124985377254460
131ac002c7855bb
14a8319a9d03a0
154e53c81cd039
hex26fe6c1a7a88

42874177223304 has 128 divisors (see below), whose sum is σ = 137748360960000. Its totient is φ = 12102177356352.

The previous prime is 42874177223261. The next prime is 42874177223329. The reversal of 42874177223304 is 40332277147824.

42874177223304 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 41 + 77 + 223 + 304 = 666.

It is a super-3 number, since 3×428741772233043 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170693404 + ... + 170944395.

It is an arithmetic number, because the mean of its divisors is an integer number (1076159070000).

Almost surely, 242874177223304 is an apocalyptic number.

It is an amenable number.

42874177223304 is an abundant number, since it is smaller than the sum of its proper divisors (94874183736696).

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

42874177223304 is a wasteful number, since it uses less digits than its factorization.

42874177223304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341637904 (or 341637894 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 54.

The spelling of 42874177223304 in words is "forty-two trillion, eight hundred seventy-four billion, one hundred seventy-seven million, two hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 83 84 108 126 166 168 189 216 249 252 332 378 498 504 581 664 747 756 996 1162 1494 1512 1743 1992 2241 2324 2988 3486 4482 4648 5229 5976 6972 8964 10458 13944 15687 17928 20916 31374 41832 62748 125496 341637799 683275598 1024913397 1366551196 2049826794 2391464593 2733102392 3074740191 4099653588 4782929186 6149480382 7174393779 8199307176 9224220573 9565858372 12298960764 14348787558 18448441146 19131716744 21523181337 24597921528 28355937317 28697575116 36896882292 43046362674 56711874634 57395150232 64569544011 73793764584 85067811951 86092725348 113423749268 129139088022 170135623902 172185450696 198491561219 226847498536 255203435853 258278176044 340271247804 396983122438 510406871706 516556352088 595474683657 680542495608 765610307559 793966244876 1020813743412 1190949367314 1531220615118 1587932489752 1786424050971 2041627486824 2381898734628 3062441230236 3572848101942 4763797469256 5359272152913 6124882460472 7145696203884 10718544305826 14291392407768 21437088611652 42874177223304