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14331443424 = 2531922734613
BaseRepresentation
bin11010101100011100…
…00111100011100000
31100222210010202110220
431112032013203200
5213322322142144
610330032323040
71015101154614
oct152616074340
940883122426
1014331443424
1160947a9621
12293b6a3480
13147519894c
1499d513344
1558d2a3919
hex3563878e0

14331443424 has 96 divisors (see below), whose sum is σ = 39775639680. Its totient is φ = 4505651712.

The previous prime is 14331443393. The next prime is 14331443459. The reversal of 14331443424 is 42434413341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 396742 + ... + 431354.

It is an arithmetic number, because the mean of its divisors is an integer number (414329580).

Almost surely, 214331443424 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 14331443424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19887819840).

14331443424 is an abundant number, since it is smaller than the sum of its proper divisors (25444196256).

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

14331443424 is a wasteful number, since it uses less digits than its factorization.

14331443424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34872 (or 34864 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 14331443424 its reverse (42434413341), we get a palindrome (56765856765).

The spelling of 14331443424 in words is "fourteen billion, three hundred thirty-one million, four hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 227 228 304 454 456 608 681 908 912 1362 1816 1824 2724 3632 4313 5448 7264 8626 10896 12939 17252 21792 25878 34504 34613 51756 69008 69226 103512 103839 138016 138452 207024 207678 276904 414048 415356 553808 657647 830712 1107616 1315294 1661424 1972941 2630588 3322848 3945882 5261176 7857151 7891764 10522352 15714302 15783528 21044704 23571453 31428604 31567056 47142906 62857208 63134112 94285812 125714416 149285869 188571624 251428832 298571738 377143248 447857607 597143476 754286496 895715214 1194286952 1791430428 2388573904 3582860856 4777147808 7165721712 14331443424