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4234213304334 = 23213193479195733
BaseRepresentation
bin111101100111011010110…
…001111010100000001110
3112222210020121100022210100
4331213122301322200032
51023333132101214314
613001100513551530
7614624516151066
oct75473261724016
915883217308710
104234213304334
1113927a102a7a2
125847515755a6
13249391366290
14108d192663a6
157521cdb4c09
hex3d9dac7a80e

4234213304334 has 96 divisors (see below), whose sum is σ = 9951805543680. Its totient is φ = 1293372002304.

The previous prime is 4234213304323. The next prime is 4234213304359. The reversal of 4234213304334 is 4334033124324.

4234213304334 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 2 + 13 + 304 + 334 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21534732 + ... + 21730464.

It is an arithmetic number, because the mean of its divisors is an integer number (103664641080).

Almost surely, 24234213304334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234213304334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975902771840).

4234213304334 is an abundant number, since it is smaller than the sum of its proper divisors (5717592239346).

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

4234213304334 is a wasteful number, since it uses less digits than its factorization.

4234213304334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196426 (or 196423 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 4234213304334 its reverse (4334033124324), we get a palindrome (8568246428658).

The spelling of 4234213304334 in words is "four trillion, two hundred thirty-four billion, two hundred thirteen million, three hundred four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 193 234 386 479 579 958 1158 1437 1737 2509 2874 3474 4311 5018 6227 7527 8622 12454 15054 18681 22581 37362 45162 56043 92447 112086 184894 195733 277341 391466 554682 587199 832023 1174398 1201811 1664046 1761597 2403622 2544529 3523194 3605433 5089058 7210866 7633587 10816299 15267174 21632598 22900761 37776469 45801522 75552938 93756107 113329407 187512214 226658814 281268321 339988221 491094097 562536642 679976442 843804963 982188194 1218829391 1473282291 1687609926 2437658782 2946564582 3656488173 4419846873 7312976346 8839693746 10969464519 18094928651 21938929038 36189857302 54284785953 108569571906 162854357859 235234072463 325708715718 470468144926 705702217389 1411404434778 2117106652167 4234213304334