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14380109505 = 3252911019241
BaseRepresentation
bin11010110010001111…
…10000111011000001
31101010011201020210100
431121013300323001
5213422302001010
610334531353013
71016231625336
oct153107607301
941104636710
1014380109505
11610a219123
122953a52769
1314822a7b48
149a5b8098d
155926b82c0
hex3591f0ec1

14380109505 has 24 divisors (see below), whose sum is σ = 25785026280. Its totient is φ = 7404929280.

The previous prime is 14380109503. The next prime is 14380109509. The reversal of 14380109505 is 50590108341.

14380109505 is a `hidden beast` number, since 1 + 43 + 8 + 0 + 109 + 505 = 666.

14380109505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1131178689 + 13248930816 = 33633^2 + 115104^2 .

It is not a de Polignac number, because 14380109505 - 21 = 14380109503 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14380109505.

It is not an unprimeable number, because it can be changed into a prime (14380109501) 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, 5508316 + ... + 5510925.

It is an arithmetic number, because the mean of its divisors is an integer number (1074376095).

Almost surely, 214380109505 is an apocalyptic number.

14380109505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14380109505 is a deficient number, since it is larger than the sum of its proper divisors (11404916775).

14380109505 is a wasteful number, since it uses less digits than its factorization.

14380109505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11019281 (or 11019278 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 14380109505 in words is "fourteen billion, three hundred eighty million, one hundred nine thousand, five hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 11019241 33057723 55096205 99173169 165288615 319557989 495865845 958673967 1597789945 2876021901 4793369835 14380109505