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2338728114114 = 23472833549691
BaseRepresentation
bin100010000010000111000…
…011101111011111000010
322021120122222112220210000
4202002013003233133002
5301304203344122424
64550221420020430
7330652601653200
oct42020703573702
98246588486700
102338728114114
11821938060467
12319317391716
1313c705aa2022
14812a32ba070
1540c806883c9
hex220870ef7c2

2338728114114 has 120 divisors (see below), whose sum is σ = 6169520882448. Its totient is φ = 660157147440.

The previous prime is 2338728114109. The next prime is 2338728114133. The reversal of 2338728114114 is 4114118278332.

It is a happy number.

2338728114114 is a `hidden beast` number, since 23 + 387 + 28 + 114 + 114 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2338728114114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1115992 + ... + 2433699.

Almost surely, 22338728114114 is an apocalyptic number.

2338728114114 is an abundant number, since it is smaller than the sum of its proper divisors (3830792768334).

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

2338728114114 is a wasteful number, since it uses less digits than its factorization.

2338728114114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549802 (or 3549786 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 2338728114114 in words is "two trillion, three hundred thirty-eight billion, seven hundred twenty-eight million, one hundred fourteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 83 98 126 147 162 166 189 249 294 378 441 498 567 581 747 882 1134 1162 1323 1494 1743 2241 2646 3486 3969 4067 4482 5229 6723 7938 8134 10458 12201 13446 15687 24402 31374 36603 47061 73206 94122 109809 219618 329427 658854 3549691 7099382 10649073 21298146 24847837 31947219 49695674 63894438 74543511 95841657 149087022 173934859 191683314 223630533 287524971 294624353 347869718 447261066 521804577 575049942 589248706 670891599 883873059 1043609154 1341783198 1565413731 1767746118 2012674797 2062370471 2651619177 3130827462 4025349594 4124740942 4696241193 5303238354 6187111413 7954857531 9392482386 12374222826 14088723579 14436593297 15909715062 18561334239 23864572593 28177447158 28873186594 37122668478 43309779891 47729145186 55684002717 86619559782 111368005434 129929339673 167052008151 259858679346 334104016302 389788019019 779576038038 1169364057057 2338728114114