Search a number
-
+
14130205524 = 2232421793077
BaseRepresentation
bin11010010100011100…
…11101001101010100
31100110202110210222100
431022032131031110
5212414313034044
610254043202100
71010105523321
oct151216351524
940422423870
1014130205524
115aa1150606
1228a4216330
13144259a076
149808cbb48
1557a7a2869
hex34a39d354

14130205524 has 36 divisors (see below), whose sum is σ = 35726873364. Its totient is φ = 4708900992.

The previous prime is 14130205421. The next prime is 14130205637. The reversal of 14130205524 is 42550203141.

14130205524 is a `hidden beast` number, since 1 + 4 + 130 + 2 + 0 + 5 + 524 = 666.

14130205524 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 2 ways, for example, as 7461849924 + 6668355600 = 86382^2 + 81660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×141302055242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 105274 + ... + 198350.

It is an arithmetic number, because the mean of its divisors is an integer number (992413149).

Almost surely, 214130205524 is an apocalyptic number.

It is an amenable number.

14130205524 is an abundant number, since it is smaller than the sum of its proper divisors (21596667840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14130205524 is a wasteful number, since it uses less digits than its factorization.

14130205524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97304 (or 97299 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 14130205524 its reverse (42550203141), we get a palindrome (56680408665).

The spelling of 14130205524 in words is "fourteen billion, one hundred thirty million, two hundred five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4217 8434 12651 16868 25302 37953 50604 75906 93077 151812 186154 279231 372308 558462 837693 1116924 1675386 3350772 392505709 785011418 1177517127 1570022836 2355034254 3532551381 4710068508 7065102762 14130205524