4456322441 (number)
4,456,322,441 (four billion four hundred fiftysix million three hundred twentytwo thousand four hundred fortyone) is an odd tendigits prime number following 4456322440 and preceding 4456322442. In scientific notation, it is written as 4.456322441 × 10^{9}. The sum of its digits is 35. It has a total of 1 prime factor and 2 positive divisors. There are 4,456,322,440 positive integers (up to 4456322441) that are relatively prime to 4456322441.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 10
 Sum of Digits 35
 Digital Root 8
Name
Short name  4 billion 456 million 322 thousand 441 

Full name  four billion four hundred fiftysix million three hundred twentytwo thousand four hundred fortyone 
Notation
Scientific notation  4.456322441 × 10^{9} 

Engineering notation  4.456322441 × 10^{9} 
Prime Factorization of 4456322441
Prime Factorization 4456322441
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  4456322441  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  22.21758969804  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 4,456,322,441 is 4456322441. Since it has a total of 1 prime factor, 4,456,322,441 is a prime number.
Divisors of 4456322441
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  4456322442  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  2228161221  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  66755.692199242  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999999995512  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 4,456,322,441 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 4,456,322,441) is 4,456,322,442, the average is 2,228,161,221.
Other Arithmetic Functions (n = 4456322441)
φ(n)  Euler Totient  4456322440  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  4456322440  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 210381565  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 4,456,322,440 positive integers (less than 4,456,322,441) that are coprime with 4,456,322,441. And there are approximately 210,381,565 prime numbers less than or equal to 4,456,322,441.
Divisibility of 4456322441
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  1  5  4  1  8 
4,456,322,441 is not divisible by any number less than or equal to 9.
Classification of 4456322441
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (4456322441)
Base  System  Value 

2  Binary  100001001100111100001010110001001 
3  Ternary  102111120100122011022 
4  Quaternary  10021213201112021 
5  Quinary  33111304304231 
6  Senary  2014110242225 
8  Octal  41147412611 
10  Decimal  4456322441 
12  Duodecimal  a444b6375 
16  Hexadecimal  1099e1589 
20  Vigesimal  39cc0621 
36  Base36  21p6geh 
Basic calculations (n = 4456322441)
Multiplication
n×yn×2  8912644882 

n×3  13368967323 
n×4  17825289764 
n×5  22281612205 
Division
n÷yn÷2  2228161220.500 

n÷3  1485440813.666 
n÷4  1114080610.250 
n÷5  891264488.200 
Exponentiation
n^{y}n^{2}  19858809698160198481 

n^{3}  88497259309459728903894412121 
n^{4}  394372322627741553500201001029314707361 
n^{5}  1757450231435296774011147818897599229264172188201 
Nth Root
^{y}√n^{2}√n  66755.692199242 

^{3}√n  1645.6047629347 
^{4}√n  258.37122943401 
^{5}√n  85.073699997655 
4456322441 as geometric shapes
Circle
Radius = nDiameter  8912644882 

Circumference  27999899685.346 
Area  6.2388290656778E+19 
Sphere
Radius = nVolume  3.7069645294591E+29 

Surface area  2.4955316262711E+20 
Circumference  27999899685.346 
Square
Length = nPerimeter  17825289764 

Area  1.985880969816E+19 
Diagonal  6302191634.3698 
Cube
Length = nSurface area  1.1915285818896E+20 

Volume  8.849725930946E+28 
Space diagonal  7718576882.7214 
Equilateral Triangle
Length = nPerimeter  13368967323 

Area  8.5991168437638E+18 
Altitude  3859288441.3607 
Triangular Pyramid
Length = nSurface area  3.4396467375055E+19 

Volume  1.0429502029024E+28 
Height  3638572036.588 
Cryptographic Hash Functions
md5  6cf62094368108bf3c0c401ca9de0cd8 

sha1  492d1a3d0ea99aea67c1cfaa6a7ad609320bf1dc 
sha256  a6e063bc7115db5ab0ebb6950383995912460228c95664abc50bd8d58b8b0768 
sha512  b11c9dddfbf5298fddff3936947fff118d0395acc65c37d28f5b8eaf31551252c7babcc8fc2b4fb570b0dff640415793ac1f6466ee43460d0b38e4b42dda313e 
ripemd160  8c587cb09ad13155eb662bcf616d971e19214ebf 