Solve 3^43+1/2(43)^2+1/2(43)

$$3 ^ { 43 } + \frac { 1 } { 2 } ( 43 ) ^ { 2 } + \frac { 1 } { 2 } ( 43 )$$

Evaluate

$$328256967394537078573$$

Solution Steps

Calculate 3 to the power of 43 and get 328256967394537077627.

$$328256967394537077627+\frac{1}{2}\times 43^{2}+\frac{1}{2}\times 43$$

Calculate 43 to the power of 2 and get 1849.

$$328256967394537077627+\frac{1}{2}\times 1849+\frac{1}{2}\times 43$$

Multiply \frac{1}{2} and 1849 to get \frac{1849}{2}.

$$328256967394537077627+\frac{1849}{2}+\frac{1}{2}\times 43$$

Convert 328256967394537077627 to fraction \frac{656513934789074155254}{2}.

$$\frac{656513934789074155254}{2}+\frac{1849}{2}+\frac{1}{2}\times 43$$

Since \frac{656513934789074155254}{2} and \frac{1849}{2} have the same denominator, add them by adding their numerators.

$$\frac{656513934789074155254+1849}{2}+\frac{1}{2}\times 43$$

Add 656513934789074155254 and 1849 to get 656513934789074157103.

$$\frac{656513934789074157103}{2}+\frac{1}{2}\times 43$$

Multiply \frac{1}{2} and 43 to get \frac{43}{2}.

$$\frac{656513934789074157103}{2}+\frac{43}{2}$$

Since \frac{656513934789074157103}{2} and \frac{43}{2} have the same denominator, add them by adding their numerators.

$$\frac{656513934789074157103+43}{2}$$

Add 656513934789074157103 and 43 to get 656513934789074157146.

$$\frac{656513934789074157146}{2}$$

Divide 656513934789074157146 by 2 to get 328256967394537078573.

$$328256967394537078573$$

Factor

$$13\times 53\times 476425206668413757$$