Solve 13500000000*365*24*60*60/52!

$$\frac{ 13500000000 \times 365 \times 24 \times 60 \times 60 }{ 52 ! }$$

Evaluate

$$\frac{73}{13830276949750322114482276552881304351044153882181632}\approx 5.278274634 \cdot 10^{-51}$$

Solution Steps

Multiply 13500000000 and 365 to get 4927500000000.

$$\frac{4927500000000\times 24\times 60\times 60}{52!}$$

Multiply 4927500000000 and 24 to get 118260000000000.

$$\frac{118260000000000\times 60\times 60}{52!}$$

Multiply 118260000000000 and 60 to get 7095600000000000.

$$\frac{7095600000000000\times 60}{52!}$$

Multiply 7095600000000000 and 60 to get 425736000000000000.

$$\frac{425736000000000000}{52!}$$

The factorial of 52 is 80658175170943878571660636856403766975289505440883277824000000000000.

$$\frac{425736000000000000}{80658175170943878571660636856403766975289505440883277824000000000000}$$

Reduce the fraction \frac{425736000000000000}{80658175170943878571660636856403766975289505440883277824000000000000} to lowest terms by extracting and canceling out 5832000000000000.

$$\frac{73}{13830276949750322114482276552881304351044153882181632}$$

Factor

$$\frac{73}{2 ^ {34} \cdot 3 ^ {17} \cdot 7 ^ {8} \cdot 11 ^ {4} \cdot 13 ^ {4} \cdot 17 ^ {3} \cdot 19 ^ {2} \cdot 23 ^ {2} \cdot 29 \cdot 31 \cdot 37 \cdot 41 \cdot 43 \cdot 47} = 5.278274633633989 \times 10^{-51}$$