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14612330216440 = 23511225211197571
BaseRepresentation
bin1101010010100011001011…
…0000000111101111111000
31220201220222102020220101201
43110220302300013233320
53403402023013411230
651024451204423544
73035464110331345
oct324506260075770
956656872226351
1014612330216440
114724066512300
12177bb739a7bb4
1381cc242933c8
1438735212b7cc
151a51784b85ca
hexd4a32c07bf8

14612330216440 has 96 divisors (see below), whose sum is σ = 36152710710480. Its totient is φ = 5311462464000.

The previous prime is 14612330216417. The next prime is 14612330216459. The reversal of 14612330216440 is 4461203321641.

14612330216440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14612330216440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11602855 + ... + 12800425.

Almost surely, 214612330216440 is an apocalyptic number.

14612330216440 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 14612330216440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18076355355240).

14612330216440 is an abundant number, since it is smaller than the sum of its proper divisors (21540380494040).

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

14612330216440 is a wasteful number, since it uses less digits than its factorization.

14612330216440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200125 (or 1200110 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 14612330216440 in words is "fourteen trillion, six hundred twelve billion, three hundred thirty million, two hundred sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 2521 4840 5042 10084 12605 20168 25210 27731 50420 55462 100840 110924 138655 221848 277310 305041 554620 610082 1109240 1197571 1220164 1525205 2395142 2440328 3050410 4790284 5987855 6100820 9580568 11975710 12201640 13173281 23951420 26346562 47902840 52693124 65866405 105386248 131732810 144906091 263465620 289812182 526931240 579624364 724530455 1159248728 1449060910 2898121820 3019076491 5796243640 6038152982 12076305964 15095382455 24152611928 30190764910 33209841401 60381529820 66419682802 120763059640 132839365604 166049207005 265678731208 332098414010 365308255411 664196828020 730616510822 1328393656040 1461233021644 1826541277055 2922466043288 3653082554110 7306165108220 14612330216440