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42322323412044 = 2232134791232915313
BaseRepresentation
bin10011001111101111011110…
…00011011001010001001100
312112211222022111010201102100
421213313233003121101030
521021402104243141134
6230002335034355100
711625454425252204
oct1147675703312114
9175758274121370
1042322323412044
1112537884253015
1248b642458ba90
131a7cc937b6990
14a645a8b97404
154d5d7a0bc999
hex267def0d944c

42322323412044 has 144 divisors (see below), whose sum is σ = 115468197062400. Its totient is φ = 12993164439552.

The previous prime is 42322323411971. The next prime is 42322323412067. The reversal of 42322323412044 is 44021432322324.

42322323412044 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 232 + 3 + 412 + 0 + 4 + 4 = 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, 2763808932 + ... + 2763824244.

It is an arithmetic number, because the mean of its divisors is an integer number (801862479600).

Almost surely, 242322323412044 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 42322323412044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57734098531200).

42322323412044 is an abundant number, since it is smaller than the sum of its proper divisors (73145873650356).

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

42322323412044 is a wasteful number, since it uses less digits than its factorization.

42322323412044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28144 (or 28139 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 42322323412044 its reverse (44021432322324), we get a palindrome (86343755734368).

The spelling of 42322323412044 in words is "forty-two trillion, three hundred twenty-two billion, three hundred twenty-three million, four hundred twelve thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 479 958 1437 1916 2874 4311 5748 6227 8622 12329 12454 15313 17244 18681 24658 24908 30626 36987 37362 45939 49316 56043 61252 73974 74724 91878 110961 112086 137817 147948 160277 183756 199069 221922 224172 275634 320554 398138 443844 480831 551268 597207 641108 796276 961662 1194414 1442493 1791621 1923324 2388828 2884986 3583242 5769972 5905591 7166484 7334927 11811182 14669854 17716773 22004781 23622364 29339708 35433546 44009562 53150319 66014343 70867092 76772683 88019124 95354051 106300638 132028686 153545366 188793977 190708102 212601276 230318049 264057372 286062153 307090732 377587954 381416204 460636098 566381931 572124306 690954147 755175908 858186459 921272196 1132763862 1144248612 1381908294 1699145793 1716372918 2265527724 2454321701 2763816588 3398291586 3432745836 4908643402 6796583172 7362965103 9817286804 14725930206 22088895309 29451860412 44177790618 88355581236 90432314983 180864629966 271296944949 361729259932 542593889898 813890834847 1085187779796 1175620094779 1627781669694 2351240189558 3255563339388 3526860284337 4702480379116 7053720568674 10580580853011 14107441137348 21161161706022 42322323412044