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14404144240 = 245180051803
BaseRepresentation
bin11010110101000110…
…11100110001110000
31101011211221100020201
431122203130301300
5213444430103430
610341150444544
71016643130423
oct153243346160
941154840221
1014404144240
116121844842
12295bb03754
131487271895
149a90399ba
155948648ca
hex35a8dcc70

14404144240 has 20 divisors (see below), whose sum is σ = 33489635544. Its totient is φ = 5761657664.

The previous prime is 14404144201. The next prime is 14404144253. The reversal of 14404144240 is 4244140441.

14404144240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 14404144199 and 14404144208.

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 3 ways as a sum of consecutive naturals, for example, 90025822 + ... + 90025981.

Almost surely, 214404144240 is an apocalyptic number.

14404144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14404144240 is an abundant number, since it is smaller than the sum of its proper divisors (19085491304).

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

14404144240 is a wasteful number, since it uses less digits than its factorization.

14404144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180051816 (or 180051810 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 14404144240 its reverse (4244140441), we get a palindrome (18648284681).

The spelling of 14404144240 in words is "fourteen billion, four hundred four million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 180051803 360103606 720207212 900259015 1440414424 1800518030 2880828848 3601036060 7202072120 14404144240