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14510316312732 = 22317712357425039
BaseRepresentation
bin1101001100100111001000…
…1111111101100010011100
31220101011122220002122121210
43103021302033331202130
53400214111434001412
650505540340424420
73025223110422432
oct323116217754234
956334586078553
1014510316312732
114694877303579
1217642436a8110
1381341747bc86
14382435832d52
151a26a757183c
hexd32723fd89c

14510316312732 has 96 divisors (see below), whose sum is σ = 36369441884160. Its totient is φ = 4486225085440.

The previous prime is 14510316312731. The next prime is 14510316312761. The reversal of 14510316312732 is 23721361301541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14510316312731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33926269 + ... + 34351307.

It is an arithmetic number, because the mean of its divisors is an integer number (378848352960).

Almost surely, 214510316312732 is an apocalyptic number.

14510316312732 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 14510316312732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184720942080).

14510316312732 is an abundant number, since it is smaller than the sum of its proper divisors (21859125571428).

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

14510316312732 is a wasteful number, since it uses less digits than its factorization.

14510316312732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427491 (or 427489 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 14510316312732 in words is "fourteen trillion, five hundred ten billion, three hundred sixteen million, three hundred twelve thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 2357 2414 3621 4714 4828 7071 7242 9428 14142 14484 28284 40069 80138 120207 160276 167347 240414 334694 425039 480828 502041 669388 850078 1004082 1275117 1700156 2008164 2550234 2844899 5100468 5689798 7225663 8534697 11379596 14451326 17069394 21676989 28902652 30177769 34138788 43353978 60355538 86707956 90533307 120711076 181066614 362133228 513022073 1001816923 1026044146 1539066219 2003633846 2052088292 3005450769 3078132438 4007267692 6010901538 6156264876 12021803076 17030887691 34061775382 51092663073 68123550764 71129001533 102185326146 142258003066 204370652292 213387004599 284516006132 426774009198 853548018396 1209193026061 2418386052122 3627579078183 4836772104244 7255158156366 14510316312732