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14050314144 = 253248785813
BaseRepresentation
bin11010001010111011…
…01100011110100000
31100021012010220121100
431011131230132200
5212233340023034
610242110554400
71005115461666
oct150535543640
940235126540
1014050314144
115a60043a79
122881508a00
13142bb77269
14974052c36
15573771099
hex34576c7a0

14050314144 has 36 divisors (see below), whose sum is σ = 39955581666. Its totient is φ = 4683437952.

The previous prime is 14050314077. The next prime is 14050314163. The reversal of 14050314144 is 44141305041.

14050314144 is a `hidden beast` number, since 1 + 4 + 0 + 503 + 14 + 144 = 666.

14050314144 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 only one way, i.e., 9204483600 + 4845830544 = 95940^2 + 69612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×140503141442 (a number of 21 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 24392619 + ... + 24393194.

Almost surely, 214050314144 is an apocalyptic number.

It is an amenable number.

14050314144 is an abundant number, since it is smaller than the sum of its proper divisors (25905267522).

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

14050314144 is a wasteful number, since it uses less digits than its factorization.

14050314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48785829 (or 48785818 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14050314144 its reverse (44141305041), we get a palindrome (58191619185).

The spelling of 14050314144 in words is "fourteen billion, fifty million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 48785813 97571626 146357439 195143252 292714878 390286504 439072317 585429756 780573008 878144634 1170859512 1561146016 1756289268 2341719024 3512578536 4683438048 7025157072 14050314144