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

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

Avaliar

$$\frac{73}{13830276949750322114482276552881304351044153882181632}\approx 5,278274634 \cdot 10^{-51}$$

Passos Para a Resolução

Multiplique 13500000000 e 365 para obter 4927500000000.

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

Multiplique 4927500000000 e 24 para obter 118260000000000.

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

Multiplique 118260000000000 e 60 para obter 7095600000000000.

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

Multiplique 7095600000000000 e 60 para obter 425736000000000000.

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

O fatorial de 52 é 80658175170943878571660636856403766975289505440883277824000000000000.

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

Reduza a fração \frac{425736000000000000}{80658175170943878571660636856403766975289505440883277824000000000000} para os termos mais baixos ao retirar e anular 5832000000000000.

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

Fatorizar

$$\frac{73}{2 ^ {34} \cdot 3 ^ {17} \cdot 7 ^ {8} \cdot 11 ^ {4} \cdot 13 ^ {4} \cdot 17 ^ {3} \cdot 19 ^ {2} \cdot 23 ^ {2} \cdot 29 \cdot 31 \cdot 37 \cdot 41 \cdot 43 \cdot 47} = 5,278274633633989 \times 10^{-51}$$