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14454708048 = 24321117536791
BaseRepresentation
bin11010111011001000…
…10101011101010000
31101022101002020202100
431131210111131100
5214100401124143
610350154320400
71021125663654
oct153544253520
941271066670
1014454708048
116148340110
122974a29100
1314948967b1
149b1a3ca64
155990016d3
hex35d915750

14454708048 has 120 divisors (see below), whose sum is σ = 46726670016. Its totient is φ = 4122547200.

The previous prime is 14454708029. The next prime is 14454708049. The reversal of 14454708048 is 84080745441.

14454708048 is a `hidden beast` number, since 14 + 454 + 70 + 80 + 48 = 666.

14454708048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14454707994 and 14454708012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14454708049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241468 + ... + 295323.

Almost surely, 214454708048 is an apocalyptic number.

14454708048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14454708048 is an abundant number, since it is smaller than the sum of its proper divisors (32271961968).

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

14454708048 is a wasteful number, since it uses less digits than its factorization.

14454708048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536833 (or 536824 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 14454708048 in words is "fourteen billion, four hundred fifty-four million, seven hundred eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3366 4488 6732 8976 13464 26928 536791 1073582 1610373 2147164 3220746 4294328 4831119 5904701 6441492 8588656 9125447 9662238 11809402 12882984 17714103 18250894 19324476 23618804 25765968 27376341 35428206 36501788 38648952 47237608 53142309 54752682 70856412 73003576 77297904 82129023 94475216 100379917 106284618 109505364 141712824 146007152 164258046 200759834 212569236 219010728 283425648 301139751 328516092 401519668 425138472 438021456 602279502 657032184 803039336 850276944 903419253 1204559004 1314064368 1606078672 1806838506 2409118008 3613677012 4818236016 7227354024 14454708048