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14041021104 = 24321110198699
BaseRepresentation
bin11010001001110100…
…01111101010110000
31100020112122202221200
431010322033222300
5212224000133404
610241135451200
71004643465405
oct150472175260
940215582850
1014041021104
115a55876a80
12287a386b00
131429c72416
14972b142ac
15572a37839
hex344e8fab0

14041021104 has 120 divisors (see below), whose sum is σ = 42914664000. Its totient is φ = 4250190720.

The previous prime is 14041021081. The next prime is 14041021133. The reversal of 14041021104 is 40112014041.

14041021104 is a `hidden beast` number, since 1 + 40 + 410 + 211 + 0 + 4 = 666.

14041021104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 1609747 + ... + 1618445.

It is an arithmetic number, because the mean of its divisors is an integer number (357622200).

Almost surely, 214041021104 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 14041021104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21457332000).

14041021104 is an abundant number, since it is smaller than the sum of its proper divisors (28873642896).

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

14041021104 is a wasteful number, since it uses less digits than its factorization.

14041021104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9743 (or 9734 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14041021104 its reverse (40112014041), we get a palindrome (54153035145).

The spelling of 14041021104 in words is "fourteen billion, forty-one million, twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1019 1584 2038 3057 4076 6114 8152 8699 9171 11209 12228 16304 17398 18342 22418 24456 26097 33627 34796 36684 44836 48912 52194 67254 69592 73368 78291 89672 95689 100881 104388 134508 139184 146736 156582 179344 191378 201762 208776 269016 287067 313164 382756 403524 417552 538032 574134 626328 765512 807048 861201 1148268 1252656 1531024 1614096 1722402 2296536 3444804 4593072 6889608 8864281 13779216 17728562 26592843 35457124 53185686 70914248 79778529 97507091 106371372 141828496 159557058 195014182 212742744 292521273 319114116 390028364 425485488 585042546 638228232 780056728 877563819 1170085092 1276456464 1560113456 1755127638 2340170184 3510255276 4680340368 7020510552 14041021104