Smallest Multiply Perfect Number of Order 5

Theorem
The number $14 \, 182 \, 439 \, 040$ is multiply perfect of order $5$:


 * $\sigma \left({14 \, 182 \, 439 \, 040}\right) = 70 \, 912 \, 195 \, 200 = 5 \times 14 \, 182 \, 439 \, 040$

It is the smallest positive integer to be so.

Proof
From :
 * $\sigma \left({14 \, 182 \, 439 \, 040}\right) = 70 \, 912 \, 195 \, 200$