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14293216128 = 273316717921
BaseRepresentation
bin11010100111111000…
…10010101110000000
31100220010012121111010
431103330102232000
5213233030404003
610322145120520
71014125222022
oct152374225600
940803177433
1014293216128
116075169914
12292a929140
13146a2a2c49
14998402012
15589c52003
hex353f12b80

14293216128 has 128 divisors (see below), whose sum is σ = 39778237440. Its totient is φ = 4541644800.

The previous prime is 14293216111. The next prime is 14293216141. The reversal of 14293216128 is 82161239241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788608 + ... + 806528.

It is an arithmetic number, because the mean of its divisors is an integer number (310767480).

Almost surely, 214293216128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14293216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19889118720).

14293216128 is an abundant number, since it is smaller than the sum of its proper divisors (25485021312).

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

14293216128 is a wasteful number, since it uses less digits than its factorization.

14293216128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18036 (or 18024 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The spelling of 14293216128 in words is "fourteen billion, two hundred ninety-three million, two hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 67 93 96 124 128 134 186 192 201 248 268 372 384 402 496 536 744 804 992 1072 1488 1608 1984 2077 2144 2976 3216 3968 4154 4288 5952 6231 6432 8308 8576 11904 12462 12864 16616 17921 24924 25728 33232 35842 49848 53763 66464 71684 99696 107526 132928 143368 199392 215052 265856 286736 398784 430104 555551 573472 797568 860208 1111102 1146944 1200707 1666653 1720416 2222204 2293888 2401414 3333306 3440832 3602121 4444408 4802828 6666612 6881664 7204242 8888816 9605656 13333224 14408484 17777632 19211312 26666448 28816968 35555264 37221917 38422624 53332896 57633936 71110528 74443834 76845248 106665792 111665751 115267872 148887668 153690496 213331584 223331502 230535744 297775336 446663004 461071488 595550672 893326008 1191101344 1786652016 2382202688 3573304032 4764405376 7146608064 14293216128