Search a number
-
+
14045131341 = 321924322909
BaseRepresentation
bin11010001010010011…
…11011001001001101
31100020211101121010200
431011021323021031
5212231023200331
610241403524113
71005023434533
oct150511731115
940224347120
1014045131341
115a5812406a
12287b829639
13142aa81207
149734a4153
1557309a5e6
hex34527b24d

14045131341 has 18 divisors (see below), whose sum is σ = 21411373230. Its totient is φ = 8870607216.

The previous prime is 14045131327. The next prime is 14045131381. The reversal of 14045131341 is 14313154041.

14045131341 is a `hidden beast` number, since 14 + 0 + 4 + 513 + 134 + 1 = 666.

14045131341 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., 13653922500 + 391208841 = 116850^2 + 19779^2 .

It is not a de Polignac number, because 14045131341 - 26 = 14045131277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14045131381) 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 17 ways as a sum of consecutive naturals, for example, 2158206 + ... + 2164703.

It is an arithmetic number, because the mean of its divisors is an integer number (1189520735).

Almost surely, 214045131341 is an apocalyptic number.

It is an amenable number.

14045131341 is a deficient number, since it is larger than the sum of its proper divisors (7366241889).

14045131341 is a wasteful number, since it uses less digits than its factorization.

14045131341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322953 (or 4322931 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 14045131341 its reverse (14313154041), we get a palindrome (28358285382).

The spelling of 14045131341 in words is "fourteen billion, forty-five million, one hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 9 19 57 171 361 1083 3249 4322909 12968727 38906181 82135271 246405813 739217439 1560570149 4681710447 14045131341