Search a number
-
+
14001221241 = 327341110623
BaseRepresentation
bin11010000101000100…
…11010111001111001
31100010202202201210200
431002202122321321
5212133303034431
610233154432413
71003651263000
oct150242327171
940122681720
1014001221241
115a35362827
122868b92709
1314219489c7
1496b713c37
1556e2c4ee6
hex34289ae79

14001221241 has 48 divisors (see below), whose sum is σ = 24160281600. Its totient is φ = 7805488320.

The previous prime is 14001221231. The next prime is 14001221249. The reversal of 14001221241 is 14212210041.

14001221241 is a `hidden beast` number, since 1 + 400 + 1 + 2 + 21 + 241 = 666.

14001221241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14001221241 - 214 = 14001204857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14001221249) 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 47 ways as a sum of consecutive naturals, for example, 71256 + ... + 181878.

It is an arithmetic number, because the mean of its divisors is an integer number (503339200).

Almost surely, 214001221241 is an apocalyptic number.

It is an amenable number.

14001221241 is a deficient number, since it is larger than the sum of its proper divisors (10159060359).

14001221241 is a wasteful number, since it uses less digits than its factorization.

14001221241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110691 (or 110674 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14001221241 its reverse (14212210041), we get a palindrome (28213431282).

The spelling of 14001221241 in words is "fourteen billion, one million, two hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 41 49 63 123 147 287 343 369 441 861 1029 2009 2583 3087 6027 14063 18081 42189 110623 126567 331869 774361 995607 2323083 4535543 5420527 6969249 13606629 16261581 31748801 37943689 40819887 48784743 95246403 113831067 222241607 285739209 341493201 666724821 1555691249 2000174463 4667073747 14001221241