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14241082320 = 2432519779281
BaseRepresentation
bin11010100001101010…
…11010101111010000
31100202111002221100100
431100311122233100
5213131204113240
610313043452400
71012623126303
oct152065325720
940674087310
1014241082320
1160487a0a23
122915387100
13145c54b53a
14991510b3a
155853a4e30
hex350d5abd0

14241082320 has 60 divisors (see below), whose sum is σ = 47826303876. Its totient is φ = 3797621760.

The previous prime is 14241082319. The next prime is 14241082363. The reversal of 14241082320 is 2328014241.

14241082320 is a `hidden beast` number, since 1 + 424 + 1 + 0 + 8 + 232 + 0 = 666.

14241082320 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 2 ways, for example, as 4373441424 + 9867640896 = 66132^2 + 99336^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 9888921 + ... + 9890360.

Almost surely, 214241082320 is an apocalyptic number.

14241082320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14241082320 is an abundant number, since it is smaller than the sum of its proper divisors (33585221556).

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

14241082320 is a wasteful number, since it uses less digits than its factorization.

14241082320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19779300 (or 19779291 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14241082320 its reverse (2328014241), we get a palindrome (16569096561).

The spelling of 14241082320 in words is "fourteen billion, two hundred forty-one million, eighty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 19779281 39558562 59337843 79117124 98896405 118675686 158234248 178013529 197792810 237351372 296689215 316468496 356027058 395585620 474702744 593378430 712054116 791171240 890067645 949405488 1186756860 1424108232 1582342480 1780135290 2373513720 2848216464 3560270580 4747027440 7120541160 14241082320