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14114130311241 = 3619360946929
BaseRepresentation
bin1100110101100011001110…
…1110010011100001001001
31211222022001000020111000000
43031120303232103201021
53322221214324424431
650003535243433213
72654466210112542
oct315306356234111
954868030214000
1014114130311241
114551850673764
1216bb4b5825809
137b4c590698ac
1436b1b00074c9
1519721a90b9e6
hexcd633b93849

14114130311241 has 14 divisors (see below), whose sum is σ = 21161514994490. Its totient is φ = 9409420207008.

The previous prime is 14114130311179. The next prime is 14114130311243. The reversal of 14114130311241 is 14211303141141.

14114130311241 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 413 + 0 + 3 + 1 + 1 + 241 = 666.

14114130311241 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., 13868391992841 + 245738318400 = 3724029^2 + 495720^2 .

It is a de Polignac number, because none of the positive numbers 2k-14114130311241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14114130311243) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9680472736 + ... + 9680474193.

Almost surely, 214114130311241 is an apocalyptic number.

It is an amenable number.

14114130311241 is a deficient number, since it is larger than the sum of its proper divisors (7047384683249).

14114130311241 is an frugal number, since it uses more digits than its factorization.

14114130311241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19360946947 (or 19360946932 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 14114130311241 its reverse (14211303141141), we get a palindrome (28325433452382).

The spelling of 14114130311241 in words is "fourteen trillion, one hundred fourteen billion, one hundred thirty million, three hundred eleven thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 243 729 19360946929 58082840787 174248522361 522745567083 1568236701249 4704710103747 14114130311241