Search a number
-
+
14524113113361 = 32471171200314639
BaseRepresentation
bin1101001101011010100010…
…0110100101000100010001
31220102111021102012202001200
43103112220212211010101
53400430340424111421
650520141354021413
73026222030330115
oct323265046450421
956374242182050
1014524113113361
11469a707234045
121766a54117869
13814805953527
14382d83d33745
151a2c13917726
hexd35a89a5111

14524113113361 has 48 divisors (see below), whose sum is σ = 21456110407680. Its totient is φ = 9463259725920.

The previous prime is 14524113113357. The next prime is 14524113113371. The reversal of 14524113113361 is 16331131142541.

It is a happy number.

14524113113361 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 4 + 1 + 1 + 311 + 336 + 1 = 666.

It is not a de Polignac number, because 14524113113361 - 22 = 14524113113357 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14524113113371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992144680 + ... + 992159318.

It is an arithmetic number, because the mean of its divisors is an integer number (447002300160).

Almost surely, 214524113113361 is an apocalyptic number.

It is an amenable number.

14524113113361 is a deficient number, since it is larger than the sum of its proper divisors (6931997294319).

14524113113361 is a wasteful number, since it uses less digits than its factorization.

14524113113361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17866 (or 17863 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 14524113113361 in words is "fourteen trillion, five hundred twenty-four billion, one hundred thirteen million, one hundred thirteen thousand, three hundred sixty-one".

Divisors: 1 3 9 47 141 423 1171 2003 3513 6009 10539 14639 18027 43917 55037 94141 131751 165111 282423 495333 688033 847269 2064099 2345513 6192297 7036539 17142269 21109617 29321917 51426807 87965751 110239111 154280421 263897253 330717333 805686643 992151999 1378130099 2417059929 4134390297 7251179787 12403170891 34335964807 103007894421 309023683263 1613790345929 4841371037787 14524113113361