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14232518640 = 2433522729027
BaseRepresentation
bin11010100000101001…
…01111111111110000
31100201212222212012000
431100110233333300
5213122011044030
610312140134000
71012460261304
oct152024577760
940655885160
1014232518640
1160439819aa
122912537300
13145a840682
14990321d04
15584762860
hex35052fff0

14232518640 has 160 divisors (see below), whose sum is σ = 49240776960. Its totient is φ = 3778488576.

The previous prime is 14232518633. The next prime is 14232518653. The reversal of 14232518640 is 4681523241.

It is a happy number.

14232518640 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 5 + 1 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14232518595 and 14232518604.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 475807 + ... + 504833.

It is an arithmetic number, because the mean of its divisors is an integer number (307754856).

Almost surely, 214232518640 is an apocalyptic number.

14232518640 is a gapful number since it is divisible by the number (10) 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 14232518640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24620388480).

14232518640 is an abundant number, since it is smaller than the sum of its proper divisors (35008258320).

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

14232518640 is a wasteful number, since it uses less digits than its factorization.

14232518640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29276 (or 29264 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14232518640 in words is "fourteen billion, two hundred thirty-two million, five hundred eighteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 227 240 270 360 432 454 540 681 720 908 1080 1135 1362 1816 2043 2160 2270 2724 3405 3632 4086 4540 5448 6129 6810 8172 9080 10215 10896 12258 13620 16344 18160 20430 24516 27240 29027 30645 32688 40860 49032 54480 58054 61290 81720 87081 98064 116108 122580 145135 163440 174162 232216 245160 261243 290270 348324 435405 464432 490320 522486 580540 696648 783729 870810 1044972 1161080 1306215 1393296 1567458 1741620 2089944 2322160 2612430 3134916 3483240 3918645 4179888 5224860 6269832 6589129 6966480 7837290 10449720 12539664 13178258 15674580 19767387 20899440 26356516 31349160 32945645 39534774 52713032 59302161 62698320 65891290 79069548 98836935 105426064 118604322 131782580 158139096 177906483 197673870 237208644 263565160 296510805 316278192 355812966 395347740 474417288 527130320 593021610 711625932 790695480 889532415 948834576 1186043220 1423251864 1581390960 1779064830 2372086440 2846503728 3558129660 4744172880 7116259320 14232518640