Search a number
-
+
14535053541 = 324183474583
BaseRepresentation
bin11011000100101101…
…10101000011100101
31101111222021020001100
431202112311003211
5214231433203131
610402144350313
71023122626251
oct154226650345
941458236040
1014535053541
116189727948
122997915399
1314a84181c8
149bc595261
155a10c27e6
hex3625b50e5

14535053541 has 24 divisors (see below), whose sum is σ = 21766320576. Its totient is φ = 9339773760.

The previous prime is 14535053539. The next prime is 14535053569.

14535053541 is a `hidden beast` number, since 14 + 5 + 3 + 50 + 53 + 541 = 666.

14535053541 is nontrivially palindromic in base 10.

14535053541 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 14535053541 - 21 = 14535053539 is a prime.

It is a super-2 number, since 2×145350535412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14535053496 and 14535053505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14535053581) 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 23 ways as a sum of consecutive naturals, for example, 206665 + ... + 267918.

It is an arithmetic number, because the mean of its divisors is an integer number (906930024).

Almost surely, 214535053541 is an apocalyptic number.

It is an amenable number.

14535053541 is a deficient number, since it is larger than the sum of its proper divisors (7231267035).

14535053541 is a wasteful number, since it uses less digits than its factorization.

14535053541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474713 (or 474710 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 145350 and 53541, that added together give a palindrome (198891).

The spelling of 14535053541 in words is "fourteen billion, five hundred thirty-five million, fifty-three thousand, five hundred forty-one".

Divisors: 1 3 9 41 83 123 249 369 747 3403 10209 30627 474583 1423749 4271247 19457903 39390389 58373709 118171167 175121127 354513501 1615005949 4845017847 14535053541