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2144333313 = 329711321737
BaseRepresentation
bin111111111001111…
…1110111000000001
312112102221102022100
41333303332320001
513342422131223
6552440301013
7104065350423
oct17763767001
95472842270
102144333313
11a004693a1
124ba171769
13282340ba5
14164b0a813
15c83c3043
hex7fcfee01

2144333313 has 24 divisors (see below), whose sum is σ = 3157140168. Its totient is φ = 1402232832.

The previous prime is 2144333291. The next prime is 2144333339. The reversal of 2144333313 is 3133334412.

2144333313 is a `hidden beast` number, since 2 + 14 + 4 + 333 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112848129 + 2031485184 = 10623^2 + 45072^2 .

It is not a de Polignac number, because 2144333313 - 26 = 2144333249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2144333813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87781 + ... + 109517.

It is an arithmetic number, because the mean of its divisors is an integer number (131547507).

Almost surely, 22144333313 is an apocalyptic number.

It is an amenable number.

2144333313 is a deficient number, since it is larger than the sum of its proper divisors (1012806855).

2144333313 is a wasteful number, since it uses less digits than its factorization.

2144333313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21953 (or 21950 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 2144333313 is about 46306.9467034915. The cubic root of 2144333313 is about 1289.5279632227.

Adding to 2144333313 its reverse (3133334412), we get a palindrome (5277667725).

It can be divided in two parts, 21443 and 33313, that added together give a square (54756 = 2342).

The spelling of 2144333313 in words is "two billion, one hundred forty-four million, three hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 3 9 97 113 291 339 873 1017 10961 21737 32883 65211 98649 195633 2108489 2456281 6325467 7368843 18976401 22106529 238259257 714777771 2144333313