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14081928168 = 2337118985619
BaseRepresentation
bin11010001110101100…
…10010101111101000
31100100101122001220010
431013112102233220
5212314433200133
610245200331520
71005651262110
oct150726225750
940311561803
1014081928168
115a76977070
122890013ba0
131435595a99
14978322040
15576418263
hex347592be8

14081928168 has 128 divisors (see below), whose sum is σ = 44385408000. Its totient is φ = 3616504320.

The previous prime is 14081928167. The next prime is 14081928173. The reversal of 14081928168 is 86182918041.

It is not an unprimeable number, because it can be changed into a prime (14081928167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121663 + ... + 207281.

It is an arithmetic number, because the mean of its divisors is an integer number (346761000).

Almost surely, 214081928168 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 14081928168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22192704000).

14081928168 is an abundant number, since it is smaller than the sum of its proper divisors (30303479832).

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

14081928168 is a wasteful number, since it uses less digits than its factorization.

14081928168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85735 (or 85731 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

It can be divided in two parts, 14081 and 928168, that added together give a palindrome (942249).

The spelling of 14081928168 in words is "fourteen billion, eighty-one million, nine hundred twenty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 89 132 154 168 178 231 264 267 308 356 462 534 616 623 712 924 979 1068 1246 1848 1869 1958 2136 2492 2937 3738 3916 4984 5874 6853 7476 7832 11748 13706 14952 20559 23496 27412 41118 54824 82236 85619 164472 171238 256857 342476 513714 599333 684952 941809 1027428 1198666 1797999 1883618 2054856 2397332 2825427 3595998 3767236 4794664 5650854 6592663 7191996 7534472 7620091 11301708 13185326 14383992 15240182 19777989 22603416 22860273 26370652 30480364 39555978 45720546 52741304 53340637 60960728 79111956 83821001 91441092 106681274 158223912 160021911 167642002 182882184 213362548 251463003 320043822 335284004 426725096 502926006 586747007 640087644 670568008 1005852012 1173494014 1280175288 1760241021 2011704024 2346988028 3520482042 4693976056 7040964084 14081928168