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14112220304 = 2472137331889
BaseRepresentation
bin11010010010010011…
…10110010010010000
31100102111122001220002
431021021312102100
5212400212022204
610252201505132
71006466615300
oct151111662220
940374561802
1014112220304
115a91a86a96
12289a1a21a8
13143b940a20
1497c369600
15578ded91e
hex349276490

14112220304 has 120 divisors (see below), whose sum is σ = 34318037880. Its totient is φ = 5572288512.

The previous prime is 14112220231. The next prime is 14112220307. The reversal of 14112220304 is 40302221141.

It can be written as a sum of positive squares in 4 ways, for example, as 3326982400 + 10785237904 = 57680^2 + 103852^2 .

It is not an unprimeable number, because it can be changed into a prime (14112220307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7469792 + ... + 7471680.

It is an arithmetic number, because the mean of its divisors is an integer number (285983649).

Almost surely, 214112220304 is an apocalyptic number.

14112220304 is a gapful number since it is divisible by the number (14) 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 14112220304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159018940).

14112220304 is an abundant number, since it is smaller than the sum of its proper divisors (20205817576).

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

14112220304 is a wasteful number, since it uses less digits than its factorization.

14112220304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14112220304 its reverse (40302221141), we get a palindrome (54414441445).

The spelling of 14112220304 in words is "fourteen billion, one hundred twelve million, two hundred twenty thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 733 784 1274 1456 1466 1889 2548 2932 3778 5096 5131 5864 7556 9529 10192 10262 11728 13223 15112 19058 20524 24557 26446 30224 35917 38116 41048 49114 52892 66703 71834 76232 82096 92561 98228 105784 133406 143668 152464 171899 185122 196456 211568 266812 287336 343798 370244 392912 466921 533624 574672 687596 740488 933842 1067248 1203293 1375192 1384637 1480976 1867684 2406586 2750384 2769274 3735368 4813172 5538548 7470736 9626344 9692459 11077096 18000281 19252688 19384918 22154192 36000562 38769836 67847213 72001124 77539672 126001967 135694426 144002248 155079344 252003934 271388852 288004496 504007868 542777704 882013769 1008015736 1085555408 1764027538 2016031472 3528055076 7056110152 14112220304