King Roo has a set of four six-sided dice. If they're placed next to each other, they form all manner of four-digit numbers, as seen below.

One day, after a long Dice-A-Roo session in the afternoon, he decided to take a break and find all the possible four-digit combinations these dice could form, including those with the six turned upsidown because, well, he's King so he can do what he wants.

After a bit of work, he found all the combinations, and then decided to take one more step...

**If King Roo added up all the possible combinations formed by these four dice, what would the sum be?**

**Please enter just the number with no punctuation or formatting. (For example, 1,999 should be entered as 1999.)**