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42432210114 = 23741531513079
BaseRepresentation
bin100111100001001010…
…000010010011000010
311001112011200121112120
4213201022002103002
51143400121210424
631254301305110
73031336556250
oct474112022302
9131464617476
1042432210114
1116aa4970548
128282565196
134002c38148
1420a76135d0
1511852c1a79
hex9e12824c2

42432210114 has 128 divisors (see below), whose sum is σ = 101931540480. Its totient is φ = 11524032000.

The previous prime is 42432210083. The next prime is 42432210181. The reversal of 42432210114 is 41101223424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13779627 + ... + 13782705.

It is an arithmetic number, because the mean of its divisors is an integer number (796340160).

Almost surely, 242432210114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42432210114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50965770240).

42432210114 is an abundant number, since it is smaller than the sum of its proper divisors (59499330366).

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

42432210114 is a wasteful number, since it uses less digits than its factorization.

42432210114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42432210114 its reverse (41101223424), we get a palindrome (83533433538).

The spelling of 42432210114 in words is "forty-two billion, four hundred thirty-two million, two hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 41 42 53 82 106 123 151 159 246 287 302 318 371 453 574 742 861 906 1057 1113 1722 2114 2173 2226 3079 3171 4346 6158 6191 6342 6519 8003 9237 12382 13038 15211 16006 18474 18573 21553 24009 30422 37146 43106 43337 45633 48018 56021 64659 86674 91266 112042 126239 129318 130011 163187 168063 252478 260022 326374 328123 336126 378717 464929 489561 656246 757434 883673 929858 979122 984369 1142309 1394787 1767346 1968738 2284618 2296861 2651019 2789574 3254503 3426927 4593722 5302038 6509006 6690667 6853854 6890583 9763509 13381334 13781166 19062089 19527018 20072001 24641237 38124178 40144002 46834669 49282474 57186267 73923711 93669338 114372534 133434623 140504007 147847422 172488659 266869246 281008014 344977318 400303869 517465977 800607738 1010290717 1034931954 2020581434 3030872151 6061744302 7072035019 14144070038 21216105057 42432210114