Search a number
-
+
14106834126 = 2347211219773
BaseRepresentation
bin11010010001101010…
…10011010011001110
31100102010111102110000
431020311103103032
5212342322143001
610251450225130
71006403053200
oct151065232316
940363442400
1014106834126
115a89a38300
1228984251a6
13143a7a6238
1497b766770
155786d7a86
hex348d534ce

14106834126 has 360 divisors, whose sum is σ = 42599458440. Its totient is φ = 3466774080.

The previous prime is 14106834103. The next prime is 14106834143. The reversal of 14106834126 is 62143860141.

14106834126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 18249076 + ... + 18249848.

It is an arithmetic number, because the mean of its divisors is an integer number (118331829).

Almost surely, 214106834126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14106834126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21299729220).

14106834126 is an abundant number, since it is smaller than the sum of its proper divisors (28492624314).

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

14106834126 is a wasteful number, since it uses less digits than its factorization.

14106834126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14106834126 in words is "fourteen billion, one hundred six million, eight hundred thirty-four thousand, one hundred twenty-six".