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42884677043442 = 232138211289173177
BaseRepresentation
bin10011100000000110111011…
…11100010000010011110010
312121211201211212201002201100
421300003131330100103302
521110110304310342232
6231112540524345230
712014213163251433
oct1160033574202362
9177751755632640
1042884677043442
111273432020a693
1249874076a5216
131ac1013b94020
14a838b529d48a
154e57dedbac7c
hex2700ddf104f2

42884677043442 has 96 divisors (see below), whose sum is σ = 100264430251440. Its totient is φ = 13168912619520.

The previous prime is 42884677043441. The next prime is 42884677043489. The reversal of 42884677043442 is 24434077648824.

42884677043442 is a `hidden beast` number, since 4 + 2 + 8 + 84 + 6 + 7 + 70 + 43 + 442 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30620385877761 + 12264291165681 = 5533569^2 + 3502041^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42884677043442.

It is not an unprimeable number, because it can be changed into a prime (42884677043441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247548358 + ... + 247721534.

Almost surely, 242884677043442 is an apocalyptic number.

42884677043442 is an abundant number, since it is smaller than the sum of its proper divisors (57379753207998).

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

42884677043442 is a wasteful number, since it uses less digits than its factorization.

42884677043442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175308 (or 175305 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 63.

The spelling of 42884677043442 in words is "forty-two trillion, eight hundred eighty-four billion, six hundred seventy-seven million, forty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 821 1289 1642 2463 2578 3867 4926 7389 7734 10673 11601 14778 16757 21346 23202 32019 33514 50271 64038 96057 100542 150813 173177 192114 301626 346354 519531 1039062 1058269 1558593 2116538 2251301 3117186 3174807 4502602 6349614 6753903 9524421 13507806 13757497 19048842 20261709 27514994 40523418 41272491 82544982 123817473 142178317 223225153 247634946 284356634 426534951 446450306 669675459 853069902 1279604853 1339350918 1848318121 2009026377 2559209706 2901926989 3696636242 4018052754 5544954363 5803853978 8705780967 11089908726 16634863089 17411561934 26117342901 33269726178 52234685802 183267850613 366535701226 549803551839 1099607103678 1649410655517 2382482057969 3298821311034 4764964115938 7147446173907 14294892347814 21442338521721 42884677043442