Search a number
-
+
2144202241 is a prime number
BaseRepresentation
bin111111111001101…
…1110111000000001
312112102200202111211
41333303132320001
513342403432431
6552433410121
7104064263326
oct17763367001
95472622454
102144202241
11a00389975
124ba109941
132822c632c
14164ab4b4d
15c83992b1
hex7fcdee01

2144202241 has 2 divisors, whose sum is σ = 2144202242. Its totient is φ = 2144202240.

The previous prime is 2144202217. The next prime is 2144202259. The reversal of 2144202241 is 1422024412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1599680016 + 544522225 = 39996^2 + 23335^2 .

It is a cyclic number.

It is not a de Polignac number, because 2144202241 - 27 = 2144202113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2144212241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1072101120 + 1072101121.

It is an arithmetic number, because the mean of its divisors is an integer number (1072101121).

Almost surely, 22144202241 is an apocalyptic number.

It is an amenable number.

2144202241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2144202241 is an equidigital number, since it uses as much as digits as its factorization.

2144202241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2144202241 is about 46305.5314298411. The cubic root of 2144202241 is about 1289.5016886300.

Adding to 2144202241 its reverse (1422024412), we get a palindrome (3566226653).

The spelling of 2144202241 in words is "two billion, one hundred forty-four million, two hundred two thousand, two hundred forty-one".