Base | Representation |
---|---|
bin | 11010101100011000… |
… | …11100010110111000 |
3 | 1100222202022110011200 |
4 | 31112030130112320 |
5 | 213322214114334 |
6 | 10330015054200 |
7 | 1015064345526 |
oct | 152614342670 |
9 | 40882273150 |
10 | 14331004344 |
11 | 6094529748 |
12 | 293b511360 |
13 | 1475073b37 |
14 | 99d43b316 |
15 | 58d218799 |
hex | 35631c5b8 |
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".
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