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212144420043234 = 234735964709861
BaseRepresentation
bin110000001111000110111000…
…110011000011100111100010
31000211010210211101111111120000
4300033012320303003213202
5210301233233012340414
62031105445014200430
762453633331414000
oct6017067063034742
91024123741444500
10212144420043234
1161660a41580188
121b963015053116
13914b1961a0743
143a55bb7c85a70
15197d56ac78b09
hexc0f1b8cc39e2

212144420043234 has 160 divisors (see below), whose sum is σ = 563752317744000. Its totient is φ = 59585356766880.

The previous prime is 212144420043209. The next prime is 212144420043239. The reversal of 212144420043234 is 432340024441212.

212144420043234 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 444 + 200 + 4 + 3 + 2 + 3 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (212144420043239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29076537 + ... + 35633324.

It is an arithmetic number, because the mean of its divisors is an integer number (3523451985900).

Almost surely, 2212144420043234 is an apocalyptic number.

212144420043234 is an abundant number, since it is smaller than the sum of its proper divisors (351607897700766).

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

212144420043234 is an equidigital number, since it uses as much as digits as its factorization.

212144420043234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64709955 (or 64709932 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 212144420043234 its reverse (432340024441212), we get a palindrome (644484444484446).

The spelling of 212144420043234 in words is "two hundred twelve trillion, one hundred forty-four billion, four hundred twenty million, forty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 59 63 81 98 118 126 147 162 177 189 294 343 354 378 413 441 531 567 686 826 882 1029 1062 1134 1239 1323 1593 2058 2478 2646 2891 3087 3186 3717 3969 4779 5782 6174 7434 7938 8673 9261 9558 11151 17346 18522 20237 22302 26019 27783 33453 40474 52038 55566 60711 66906 78057 121422 156114 182133 234171 364266 468342 546399 1092798 1639197 3278394 64709861 129419722 194129583 388259166 452969027 582388749 905938054 1164777498 1358907081 1747166247 2717814162 3170783189 3494332494 3817881799 4076721243 5241498741 6341566378 7635763598 8153442486 9512349567 10482997482 11453645397 12230163729 19024699134 22195482323 22907290794 24460327458 26725172593 28537048701 34360936191 36690491187 44390964646 53450345186 57074097402 66586446969 68721872382 73380982374 80175517779 85611146103 103082808573 133172893938 160351035558 171222292206 187076208151 199759340907 206165617146 240526553337 256833438309 309248425719 374152416302 399518681814 481053106674 513666876618 561228624453 599278022721 618496851438 721579660011 1122457248906 1198556045442 1309533457057 1443159320022 1683685873359 1797834068163 2164738980033 2619066914114 3367371746718 3595668136326 3928600371171 4329477960066 5051057620077 7857200742342 10102115240154 11785801113513 15153172860231 23571602227026 30306345720462 35357403340539 70714806681078 106072210021617 212144420043234