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14504816424 = 23373110726029
BaseRepresentation
bin11011000001000110…
…11110111100101000
31101102212101000112010
431200203132330220
5214201213111144
610355144315520
71022304622350
oct154043367450
941385330463
1014504816424
11617365529a
122989772ba0
1314a208c317
149b8563b60
1559d5ed5b9
hex3608def28

14504816424 has 128 divisors (see below), whose sum is σ = 43180646400. Its totient is φ = 3972913920.

The previous prime is 14504816327. The next prime is 14504816441. The reversal of 14504816424 is 42461840541.

14504816424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544242 + ... + 570270.

It is an arithmetic number, because the mean of its divisors is an integer number (337348800).

Almost surely, 214504816424 is an apocalyptic number.

14504816424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14504816424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21590323200).

14504816424 is an abundant number, since it is smaller than the sum of its proper divisors (28675829976).

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

14504816424 is a wasteful number, since it uses less digits than its factorization.

14504816424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26183 (or 26179 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 14504816424 in words is "fourteen billion, five hundred four million, eight hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 107 124 168 186 214 217 248 321 372 428 434 642 651 744 749 856 868 1284 1302 1498 1736 2247 2568 2604 2996 3317 4494 5208 5992 6634 8988 9951 13268 17976 19902 23219 26029 26536 39804 46438 52058 69657 78087 79608 92876 104116 139314 156174 182203 185752 208232 278628 312348 364406 546609 557256 624696 728812 806899 1093218 1457624 1613798 2186436 2420697 2785103 3227596 4372872 4841394 5570206 5648293 6455192 8355309 9682788 11140412 11296586 16710618 16944879 19365576 19495721 22280824 22593172 33421236 33889758 38991442 45186344 58487163 66842472 67779516 77982884 86338193 116974326 135559032 155965768 172676386 233948652 259014579 345352772 467897304 518029158 604367351 690705544 1036058316 1208734702 1813102053 2072116632 2417469404 3626204106 4834938808 7252408212 14504816424