Solve {l}{2^{10}+2^12+2^14}{+2^16+2^18}

$$\left. \begin{array} { l } { 2 ^ { 10 } + 2 ^ { 12 } + 2 ^ { 14 } } \\ { + 2 ^ { 16 } + 2 ^ { 18 } } \end{array} \right.$$

Evaluate

$$349184$$

Solution Steps

Calculate 2 to the power of 10 and get 1024.

$$1024+2^{12}+2^{14}+2^{16}+2^{18}$$

Calculate 2 to the power of 12 and get 4096.

$$1024+4096+2^{14}+2^{16}+2^{18}$$

Add 1024 and 4096 to get 5120.

$$5120+2^{14}+2^{16}+2^{18}$$

Calculate 2 to the power of 14 and get 16384.

$$5120+16384+2^{16}+2^{18}$$

Add 5120 and 16384 to get 21504.

$$21504+2^{16}+2^{18}$$

Calculate 2 to the power of 16 and get 65536.

$$21504+65536+2^{18}$$

Add 21504 and 65536 to get 87040.

$$87040+2^{18}$$

Calculate 2 to the power of 18 and get 262144.

$$87040+262144$$

Add 87040 and 262144 to get 349184.

$$349184$$

Factor

$$2^{10}\times 11\times 31$$