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42442014186 = 232111397169987
BaseRepresentation
bin100111100001101111…
…011011110111101010
311001112212010201012100
4213201233123313222
51143410123423221
631255251354230
73031516111455
oct474157336752
9131485121170
1042442014186
1116aaa457490
1282858b2976
134004c8b780
1420a8a4649c
1511860ab926
hex9e1bdbdea

42442014186 has 96 divisors (see below), whose sum is σ = 109148614848. Its totient is φ = 11749432320.

The previous prime is 42442014179. The next prime is 42442014187. The reversal of 42442014186 is 68141024424.

42442014186 is a `hidden beast` number, since 42 + 4 + 420 + 14 + 186 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42442014186.

It is not an unprimeable number, because it can be changed into a prime (42442014187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164685 + ... + 334671.

It is an arithmetic number, because the mean of its divisors is an integer number (1136964738).

Almost surely, 242442014186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42442014186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54574307424).

42442014186 is an abundant number, since it is smaller than the sum of its proper divisors (66706600662).

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

42442014186 is a wasteful number, since it uses less digits than its factorization.

42442014186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170116 (or 170113 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 42442014186 in words is "forty-two billion, four hundred forty-two million, fourteen thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 97 99 117 143 194 198 234 286 291 429 582 858 873 1067 1261 1287 1746 2134 2522 2574 3201 3783 6402 7566 9603 11349 13871 19206 22698 27742 41613 83226 124839 169987 249678 339974 509961 1019922 1529883 1869857 2209831 3059766 3739714 4419662 5609571 6629493 11219142 13258986 16488739 16828713 19888479 24308141 32977478 33657426 39776958 48616282 49466217 72924423 98932434 145848846 148398651 181376129 214353607 218773269 296797302 362752258 428707214 437546538 544128387 643060821 1088256774 1286121642 1632385161 1929182463 2357889677 3264770322 3858364926 4715779354 7073669031 14147338062 21221007093 42442014186