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14523106332 = 22371012417103
BaseRepresentation
bin11011000011010010…
…10000010000011100
31101111010210020120010
431201221100100130
5214220403400312
610401040323220
71022616236610
oct154151202034
941433706503
1014523106332
116182a07819
122993913510
1314a5ac4257
149bab65340
155a001293c
hex361a5041c

14523106332 has 96 divisors (see below), whose sum is σ = 39279550464. Its totient is φ = 4090752000.

The previous prime is 14523106321. The next prime is 14523106343. The reversal of 14523106332 is 23360132541.

It is an interprime number because it is at equal distance from previous prime (14523106321) and next prime (14523106343).

It is a self number, because there is not a number n which added to its sum of digits gives 14523106332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2041093 + ... + 2048195.

It is an arithmetic number, because the mean of its divisors is an integer number (409161984).

Almost surely, 214523106332 is an apocalyptic number.

14523106332 is a gapful number since it is divisible by the number (12) 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 14523106332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19639775232).

14523106332 is an abundant number, since it is smaller than the sum of its proper divisors (24756444132).

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

14523106332 is a wasteful number, since it uses less digits than its factorization.

14523106332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7459 (or 7457 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 14523106332 its reverse (23360132541), we get a palindrome (37883238873).

The spelling of 14523106332 in words is "fourteen billion, five hundred twenty-three million, one hundred six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 241 303 404 482 606 707 723 964 1212 1414 1446 1687 2121 2828 2892 3374 4242 5061 6748 7103 8484 10122 14206 20244 21309 24341 28412 42618 48682 49721 73023 85236 97364 99442 146046 149163 170387 198884 292092 298326 340774 511161 596652 681548 717403 1022322 1434806 1711823 2044644 2152209 2869612 3423646 4304418 5021821 5135469 6847292 8608836 10043642 10270938 11982761 15065463 20087284 20541876 23965522 30130926 35948283 47931044 60261852 71896566 143793132 172894123 345788246 518682369 691576492 1037364738 1210258861 2074729476 2420517722 3630776583 4841035444 7261553166 14523106332