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214412312352504 = 233717107701629337
BaseRepresentation
bin110000110000000111000001…
…101101101001011011111000
31001010011121122200222200202110
4300300013001231221123320
5211100412403430240004
62040003353445132320
763106530660110550
oct6060070155513370
91033147580880673
10214412312352504
1162355829672a72
122006a6616ba0a0
139283cc061a036
143ad387b540160
1519bc552755589
hexc301c1b696f8

214412312352504 has 128 divisors (see below), whose sum is σ = 654704367874560. Its totient is φ = 57118240985088.

The previous prime is 214412312352493. The next prime is 214412312352541. The reversal of 214412312352504 is 405253213214412.

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, 350509077 + ... + 351120260.

It is an arithmetic number, because the mean of its divisors is an integer number (5114877874020).

Almost surely, 2214412312352504 is an apocalyptic number.

214412312352504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214412312352504 is an abundant number, since it is smaller than the sum of its proper divisors (440292055522056).

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

214412312352504 is a wasteful number, since it uses less digits than its factorization.

214412312352504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701629477 (or 701629473 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 214412312352504 its reverse (405253213214412), we get a palindrome (619665525566916).

The spelling of 214412312352504 in words is "two hundred fourteen trillion, four hundred twelve billion, three hundred twelve million, three hundred fifty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 107 119 136 168 204 214 238 321 357 408 428 476 642 714 749 856 952 1284 1428 1498 1819 2247 2568 2856 2996 3638 4494 5457 5992 7276 8988 10914 12733 14552 17976 21828 25466 38199 43656 50932 76398 101864 152796 305592 701629337 1403258674 2104888011 2806517348 4209776022 4911405359 5613034696 8419552044 9822810718 11927698729 14734216077 16839104088 19645621436 23855397458 29468432154 35783096187 39291242872 47710794916 58936864308 71566192374 75074339059 83493891103 95421589832 117873728616 143132384748 150148678118 166987782206 225223017177 250481673309 286264769496 300297356236 333975564412 450446034354 500963346618 525520373413 600594712472 667951128824 900892068708 1001926693236 1051040746826 1276263764003 1576561120239 1801784137416 2003853386472 2102081493652 2552527528006 3153122240478 3828791292009 4204162987304 5105055056012 6306244480956 7657582584018 8933846348021 10210110112024 12612488961912 15315165168036 17867692696042 26801539044063 30630330336072 35735385392084 53603078088126 71470770784168 107206156176252 214412312352504