Search a number
-
+
2144312053 = 13212688237
BaseRepresentation
bin111111111001111…
…1001101011110101
312112102220100010221
41333303321223311
513342420441203
6552440014341
7104065231432
oct17763715365
95472810127
102144312053
11a00454424
124ba1613b1
13282334300
14164b02b89
15c83bbabd
hex7fcf9af5

2144312053 has 6 divisors (see below), whose sum is σ = 2321947554. Its totient is φ = 1979364816.

The previous prime is 2144312047. The next prime is 2144312111. The reversal of 2144312053 is 3502134412.

It can be written as a sum of positive squares in 3 ways, for example, as 35022724 + 2109289329 = 5918^2 + 45927^2 .

It is a de Polignac number, because none of the positive numbers 2k-2144312053 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 (2144312353) 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 5 ways as a sum of consecutive naturals, for example, 6343950 + ... + 6344287.

It is an arithmetic number, because the mean of its divisors is an integer number (386991259).

Almost surely, 22144312053 is an apocalyptic number.

It is an amenable number.

2144312053 is a deficient number, since it is larger than the sum of its proper divisors (177635501).

2144312053 is a wasteful number, since it uses less digits than its factorization.

2144312053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12688263 (or 12688250 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2144312053 is about 46306.7171477314. The cubic root of 2144312053 is about 1289.5237015322.

Adding to 2144312053 its reverse (3502134412), we get a palindrome (5646446465).

The spelling of 2144312053 in words is "two billion, one hundred forty-four million, three hundred twelve thousand, fifty-three".

Divisors: 1 13 169 12688237 164947081 2144312053