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14331004344 = 2332738233313
BaseRepresentation
bin11010101100011000…
…11100010110111000
31100222202022110011200
431112030130112320
5213322214114334
610330015054200
71015064345526
oct152614342670
940882273150
1014331004344
116094529748
12293b511360
131475073b37
1499d43b316
1558d218799
hex35631c5b8

14331004344 has 96 divisors (see below), whose sum is σ = 39404520480. Its totient is φ = 4704417792.

The previous prime is 14331004343. The next prime is 14331004357. The reversal of 14331004344 is 44340013341.

14331004344 is a `hidden beast` number, since 1 + 4 + 3 + 310 + 0 + 4 + 344 = 666.

14331004344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×143310043443 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14331004343) 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 23 ways as a sum of consecutive naturals, for example, 4324032 + ... + 4327344.

It is an arithmetic number, because the mean of its divisors is an integer number (410463755).

Almost surely, 214331004344 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 14331004344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19702260240).

14331004344 is an abundant number, since it is smaller than the sum of its proper divisors (25073516136).

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

14331004344 is a wasteful number, since it uses less digits than its factorization.

14331004344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14331004344 its reverse (44340013341), we get a palindrome (58671017685).

The spelling of 14331004344 in words is "fourteen billion, three hundred thirty-one million, four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 823 876 1314 1646 1752 2469 2628 3292 3313 4938 5256 6584 6626 7407 9876 9939 13252 14814 19752 19878 26504 29628 29817 39756 59256 59634 60079 79512 119268 120158 180237 238536 240316 241849 360474 480632 483698 540711 720948 725547 967396 1081422 1441896 1451094 1934792 2162844 2176641 2726599 2902188 4325688 4353282 5453198 5804376 8179797 8706564 10906396 16359594 17413128 21812792 24539391 32719188 49078782 65438376 98157564 196315128 199041727 398083454 597125181 796166908 1194250362 1592333816 1791375543 2388500724 3582751086 4777001448 7165502172 14331004344