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4112444323134 = 2327242011109887
BaseRepresentation
bin111011110110000000110…
…010000111010100111110
3112120010221022112011021200
4323312000302013110332
51014334241221320014
612425121510040330
7603054126662100
oct73660062072476
915503838464250
104112444323134
111346094677944
125650293490a6
1323aa5682c794
14103086ddd570
1571e92981a09
hex3bd80c8753e

4112444323134 has 72 divisors (see below), whose sum is σ = 10367514862848. Its totient is φ = 1174703342400.

The previous prime is 4112444323129. The next prime is 4112444323151. The reversal of 4112444323134 is 4313234442114.

4112444323134 is a `hidden beast` number, since 41 + 1 + 24 + 443 + 23 + 134 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3150339 + ... + 4260225.

It is an arithmetic number, because the mean of its divisors is an integer number (143993261984).

Almost surely, 24112444323134 is an apocalyptic number.

4112444323134 is an abundant number, since it is smaller than the sum of its proper divisors (6255070539714).

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

4112444323134 is a wasteful number, since it uses less digits than its factorization.

4112444323134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114110 (or 1114100 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 4112444323134 its reverse (4313234442114), we get a palindrome (8425678765248).

The spelling of 4112444323134 in words is "four trillion, one hundred twelve billion, four hundred forty-four million, three hundred twenty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 4201 8402 12603 25206 29407 37809 58814 75618 88221 176442 205849 264663 411698 529326 617547 1109887 1235094 1852641 2219774 3329661 3705282 6659322 7769209 9988983 15538418 19977966 23307627 46615254 54384463 69922881 108768926 139845762 163153389 326306778 489460167 978920334 4662635287 9325270574 13987905861 27975811722 32638447009 41963717583 65276894018 83927435166 97915341027 195830682054 228469129063 293746023081 456938258126 587492046162 685407387189 1370814774378 2056222161567 4112444323134