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14032210300032 = 273179722160227
BaseRepresentation
bin1100110000110010000011…
…1010010000110010000000
31211200110120212021201202210
43030030200322100302000
53314400431314100112
645502150341342120
72645536152364611
oct314144072206200
954613525251683
1014032210300032
114520032993861
1216a7652a07940
137aa302215992
1436723c275c08
15195023acab3c
hexcc320e90c80

14032210300032 has 128 divisors (see below), whose sum is σ = 39872455035840. Its totient is φ = 4356877713408.

The previous prime is 14032210300007. The next prime is 14032210300051. The reversal of 14032210300032 is 23000301223041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 14032210299981 and 14032210300008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10446898 + ... + 11713329.

Almost surely, 214032210300032 is an apocalyptic number.

14032210300032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14032210300032 is an abundant number, since it is smaller than the sum of its proper divisors (25840244735808).

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

14032210300032 is a wasteful number, since it uses less digits than its factorization.

14032210300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22160358 (or 22160346 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 14032210300032 its reverse (23000301223041), we get a palindrome (37032511523073).

The spelling of 14032210300032 in words is "fourteen trillion, thirty-two billion, two hundred ten million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 97 102 128 136 192 194 204 272 291 384 388 408 544 582 776 816 1088 1164 1552 1632 1649 2176 2328 3104 3264 3298 4656 4947 6208 6528 6596 9312 9894 12416 13192 18624 19788 26384 37248 39576 52768 79152 105536 158304 211072 316608 633216 22160227 44320454 66480681 88640908 132961362 177281816 265922724 354563632 376723859 531845448 709127264 753447718 1063690896 1130171577 1418254528 1506895436 2127381792 2149542019 2260343154 2836509056 3013790872 4254763584 4299084038 4520686308 6027581744 6448626057 8509527168 8598168076 9041372616 12055163488 12897252114 17196336152 18082745232 24110326976 25794504228 34392672304 36165490464 36542214323 48220653952 51589008456 68785344608 72330980928 73084428646 103178016912 109626642969 137570689216 144661961856 146168857292 206356033824 219253285938 275141378432 292337714584 412712067648 438506571876 584675429168 825424135296 877013143752 1169350858336 1754026287504 2338701716672 3508052575008 4677403433344 7016105150016 14032210300032