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2144300405 = 51337891601
BaseRepresentation
bin111111111001111…
…0110110101110101
312112102212202011112
41333303312311311
513342420103110
6552435444405
7104065152452
oct17763666565
95472782145
102144300405
11a004466a5
124ba156705
1328232bc10
14164adc829
15c83b8405
hex7fcf6d75

2144300405 has 16 divisors (see below), whose sum is σ = 2845993584. Its totient is φ = 1540684800.

The previous prime is 2144300401. The next prime is 2144300443. The reversal of 2144300405 is 5040034412.

It can be written as a sum of positive squares in 8 ways, for example, as 88040689 + 2056259716 = 9383^2 + 45346^2 .

It is not a de Polignac number, because 2144300405 - 22 = 2144300401 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144300401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443396 + ... + 448205.

It is an arithmetic number, because the mean of its divisors is an integer number (177874599).

Almost surely, 22144300405 is an apocalyptic number.

It is an amenable number.

2144300405 is a deficient number, since it is larger than the sum of its proper divisors (701693179).

2144300405 is a wasteful number, since it uses less digits than its factorization.

2144300405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891656.

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2144300405 is about 46306.5913774702. The cubic root of 2144300405 is about 1289.5213666109.

Adding to 2144300405 its reverse (5040034412), we get a palindrome (7184334817).

The spelling of 2144300405 in words is "two billion, one hundred forty-four million, three hundred thousand, four hundred five".

Divisors: 1 5 13 37 65 185 481 2405 891601 4458005 11590813 32989237 57954065 164946185 428860081 2144300405