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14313411583056 = 243443321254941
BaseRepresentation
bin1101000001001001100111…
…0100000001110001010000
31212200100102021002222210000
43100102121310001301100
53334002331331124211
650235253541010000
73005052453014235
oct320223164016120
955610367088700
1014313411583056
114619313763823
1217320506b3900
137ca9974c0101
14376ab687778c
1519c4d0c0e656
hexd0499d01c50

14313411583056 has 100 divisors (see below), whose sum is σ = 41428284562324. Its totient is φ = 4771008345600.

The previous prime is 14313411583039. The next prime is 14313411583061. The reversal of 14313411583056 is 65038511431341.

14313411583056 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 3 + 4 + 11 + 583 + 0 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9145882414656 + 5167529168400 = 3024216^2 + 2273220^2 .

It is a super-2 number, since 2×143134115830562 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56016546 + ... + 56271486.

Almost surely, 214313411583056 is an apocalyptic number.

14313411583056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14313411583056 is an abundant number, since it is smaller than the sum of its proper divisors (27114872979268).

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

14313411583056 is a wasteful number, since it uses less digits than its factorization.

14313411583056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298282 (or 298267 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 14313411583056 in words is "fourteen trillion, three hundred thirteen billion, four hundred eleven million, five hundred eighty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 43321 86642 129963 173284 254941 259926 346568 389889 509882 519852 693136 764823 779778 1019764 1039704 1169667 1529646 1559556 2039528 2079408 2294469 2339334 3059292 3119112 3509001 4079056 4588938 4678668 6118584 6238224 6883407 7018002 9177876 9357336 12237168 13766814 14036004 18355752 18714672 20650221 27533628 28072008 36711504 41300442 55067256 56144016 82600884 110134512 165201768 330403536 11044299061 22088598122 33132897183 44177196244 66265794366 88354392488 99398691549 132531588732 176708784976 198797383098 265063177464 298196074647 397594766196 530126354928 596392149294 795189532392 894588223941 1192784298588 1590379064784 1789176447882 2385568597176 3578352895764 4771137194352 7156705791528 14313411583056