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114339164234352 = 24317316174099167
BaseRepresentation
bin11001111111110110101001…
…010001001010001001110000
3112222211201100221120202100120
4121333312221101022021300
5104441313102020444402
61043102404212250240
733040506036121521
oct3177665121121160
9488751327522316
10114339164234352
1133482a70437a92
12109a7842910980
134ba51a1a84a55
14203408b994848
15d343562c43bc
hex67fda944a270

114339164234352 has 160 divisors (see below), whose sum is σ = 328132456464384. Its totient is φ = 34144895692800.

The previous prime is 114339164234311. The next prime is 114339164234429. The reversal of 114339164234352 is 253432461933411.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 114339164234295 and 114339164234304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35506528 + ... + 38592639.

Almost surely, 2114339164234352 is an apocalyptic number.

114339164234352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114339164234352 is an abundant number, since it is smaller than the sum of its proper divisors (213793292230032).

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

114339164234352 is a wasteful number, since it uses less digits than its factorization.

114339164234352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74099287 (or 74099281 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 51.

The spelling of 114339164234352 in words is "one hundred fourteen trillion, three hundred thirty-nine billion, one hundred sixty-four million, two hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 61 62 68 93 102 122 124 136 183 186 204 244 248 272 366 372 408 488 496 527 732 744 816 976 1037 1054 1464 1488 1581 1891 2074 2108 2928 3111 3162 3782 4148 4216 5673 6222 6324 7564 8296 8432 11346 12444 12648 15128 16592 22692 24888 25296 30256 32147 45384 49776 64294 90768 96441 128588 192882 257176 385764 514352 771528 1543056 74099167 148198334 222297501 296396668 444595002 592793336 889190004 1185586672 1259685839 1778380008 2297074177 2519371678 3556760016 3779057517 4520049187 4594148354 5038743356 6891222531 7558115034 9040098374 9188296708 10077486712 13560147561 13782445062 15116230068 18080196748 18376593416 20154973424 27120295122 27564890124 30232460136 36160393496 36753186832 39050261009 54240590244 55129780248 60464920272 72320786992 76840836179 78100522018 108481180488 110259560496 117150783027 140121524797 153681672358 156201044036 216962360976 230522508537 234301566054 280243049594 307363344716 312402088072 420364574391 461045017074 468603132108 560486099188 614726689432 624804176144 840729148782 922090034148 937206264216 1120972198376 1229453378864 1681458297564 1844180068296 1874412528432 2241944396752 2382065921549 3362916595128 3688360136592 4764131843098 6725833190256 7146197764647 9528263686196 14292395529294 19056527372392 28584791058588 38113054744784 57169582117176 114339164234352