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114223045114052 = 227229131562327281
BaseRepresentation
bin11001111110001010100000…
…000001110111100011000100
3112222102121122101222020222022
4121332022200001313203010
5104432412244022122202
61042533201552422312
733026225352644300
oct3176124001674304
9488377571866868
10114223045114052
11334387a31a6266
1210989236847998
134b97257912704
14202c5d3c34d00
15d3130bdb3ea2
hex67e2a00778c4

114223045114052 has 144 divisors (see below), whose sum is σ = 242431806798720. Its totient is φ = 46893848601600.

The previous prime is 114223045114007. The next prime is 114223045114067. The reversal of 114223045114052 is 250411540322411.

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, 4186894652 + ... + 4186921932.

It is an arithmetic number, because the mean of its divisors is an integer number (1683554213880).

Almost surely, 2114223045114052 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 114223045114052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121215903399360).

114223045114052 is an abundant number, since it is smaller than the sum of its proper divisors (128208761684668).

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

114223045114052 is a wasteful number, since it uses less digits than its factorization.

114223045114052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33082 (or 33073 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 114223045114052 its reverse (250411540322411), we get a palindrome (364634585436463).

The spelling of 114223045114052 in words is "one hundred fourteen trillion, two hundred twenty-three billion, forty-five million, one hundred fourteen thousand, fifty-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 131 196 203 262 406 524 812 917 1421 1834 2842 3668 3799 5623 5684 6419 7598 11246 12838 15196 22492 25676 26593 27281 39361 53186 54562 78722 106372 109124 157444 163067 186151 190967 275527 326134 372302 381934 551054 652268 736613 744604 763868 791149 1102108 1141469 1336769 1473226 1582298 2282938 2673538 2946452 3164596 3573811 4565876 5156291 5347076 5538043 7147622 7990283 10312582 11076086 14295244 15980566 20625164 21361777 22152172 25016677 31961132 36094037 38766301 42723554 50033354 72188074 77532602 85447108 100066708 103640519 144376148 149532439 153401063 155065204 175116739 207281038 299064878 306802126 350233478 414562076 598129756 613604252 700466956 725483633 1046727073 1073807441 1450967266 2093454146 2147614882 2901934532 4186908292 4295229764 4448630827 5078385431 7516652087 8897261654 10156770862 15033304174 17794523308 20095539253 20313541724 30066608348 31140415789 40191078506 62280831578 80382157012 124561663156 140668774771 217982910523 281337549542 435965821046 562675099084 582770638337 871931642092 984681423397 1165541276674 1969362846794 2331082553348 3938725693588 4079394468359 8158788936718 16317577873436 28555761278513 57111522557026 114223045114052