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14256331424 = 255935321391
BaseRepresentation
bin11010100011011111…
…00101101010100000
31100210112210200011222
431101233211222200
5213144110101144
610314350354212
71013166550316
oct152157455240
940715720158
1014256331424
116056366895
12291a4bb968
13146275a38a
149935600b6
155868b82ee
hex351be5aa0

14256331424 has 48 divisors (see below), whose sum is σ = 28625063040. Its totient is φ = 6987171840.

The previous prime is 14256331423. The next prime is 14256331459. The reversal of 14256331424 is 42413365241.

14256331424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14256331421) 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 7 ways as a sum of consecutive naturals, for example, 655769 + ... + 677159.

It is an arithmetic number, because the mean of its divisors is an integer number (596355480).

Almost surely, 214256331424 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 14256331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14312531520).

14256331424 is an abundant number, since it is smaller than the sum of its proper divisors (14368731616).

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

14256331424 is a wasteful number, since it uses less digits than its factorization.

14256331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21813 (or 21805 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

Adding to 14256331424 its reverse (42413365241), we get a palindrome (56669696665).

The spelling of 14256331424 in words is "fourteen billion, two hundred fifty-six million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 59 118 236 353 472 706 944 1412 1888 2824 5648 11296 20827 21391 41654 42782 83308 85564 166616 171128 333232 342256 666464 684512 1262069 2524138 5048276 7551023 10096552 15102046 20193104 30204092 40386208 60408184 120816368 241632736 445510357 891020714 1782041428 3564082856 7128165712 14256331424