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14209332105 = 35174773109149
BaseRepresentation
bin11010011101111000…
…10011001110001001
31100200021100212020110
431032330103032021
5213100042111410
610305551144533
71012056221133
oct151674231611
940607325213
1014209332105
116031885581
122906815149
131455ab2a27
1498b208053
155826d2720
hex34ef13389

14209332105 has 128 divisors (see below), whose sum is σ = 25318656000. Its totient is φ = 6776193024.

The previous prime is 14209332103. The next prime is 14209332133. The reversal of 14209332105 is 50123390241.

It is not a de Polignac number, because 14209332105 - 21 = 14209332103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14209332103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95364571 + ... + 95364719.

It is an arithmetic number, because the mean of its divisors is an integer number (197802000).

Almost surely, 214209332105 is an apocalyptic number.

14209332105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14209332105 is a deficient number, since it is larger than the sum of its proper divisors (11109323895).

14209332105 is a wasteful number, since it uses less digits than its factorization.

14209332105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 14209332105 in words is "fourteen billion, two hundred nine million, three hundred thirty-two thousand, one hundred five".

Divisors: 1 3 5 15 17 47 51 73 85 109 141 149 219 235 255 327 365 447 545 705 745 799 1095 1241 1635 1853 2235 2397 2533 3431 3723 3995 5123 5559 6205 7003 7599 7957 9265 10293 10877 11985 12665 15369 16241 17155 18615 21009 23871 25615 27795 32631 35015 37995 39785 48723 51465 54385 58327 76845 81205 87091 105045 119051 119355 135269 163155 174981 184909 243615 261273 276097 291635 357153 373979 405807 435455 511219 554727 595255 676345 763327 828291 874905 924545 1121937 1185593 1306365 1380485 1533657 1785765 1869895 2029035 2289981 2556095 2773635 3556779 3816635 4141455 5609685 5927965 6357643 7668285 8690723 11449905 12976559 17783895 19072929 20155081 26072169 31788215 38929677 43453615 55722871 60465243 64882795 95364645 100775405 130360845 167168613 194648385 278614355 302326215 835843065 947288807 2841866421 4736444035 14209332105