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2144512305 = 3251311332441
BaseRepresentation
bin111111111010010…
…1010100100110001
312112110021111211200
41333310222210301
513342443343210
6552444201413
7104100024315
oct17764524461
95473244750
102144512305
11a00580921
124ba239269
132823a44c0
14164b55b45
15c840b0c0
hex7fd2a931

2144512305 has 48 divisors (see below), whose sum is σ = 4038639696. Its totient is φ = 1046384640.

The previous prime is 2144512303. The next prime is 2144512309. The reversal of 2144512305 is 5032154412.

2144512305 is a `hidden beast` number, since 2 + 144 + 512 + 3 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 200760561 + 1943751744 = 14169^2 + 44088^2 .

It is not a de Polignac number, because 2144512305 - 21 = 2144512303 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2144512303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49885 + ... + 82325.

It is an arithmetic number, because the mean of its divisors is an integer number (84138327).

Almost surely, 22144512305 is an apocalyptic number.

It is an amenable number.

2144512305 is a deficient number, since it is larger than the sum of its proper divisors (1894127391).

2144512305 is a wasteful number, since it uses less digits than its factorization.

2144512305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32578 (or 32575 counting only the distinct ones).

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

The square root of 2144512305 is about 46308.8793321540. The cubic root of 2144512305 is about 1289.5638420925.

Adding to 2144512305 its reverse (5032154412), we get a palindrome (7176666717).

The spelling of 2144512305 in words is "two billion, one hundred forty-four million, five hundred twelve thousand, three hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 113 117 195 339 565 585 1017 1469 1695 4407 5085 7345 13221 22035 32441 66105 97323 162205 291969 421733 486615 1265199 1459845 2108665 3665833 3795597 6325995 10997499 18329165 18977985 32992497 47655829 54987495 142967487 164962485 238279145 428902461 714837435 2144512305