UniDigits Embedded In Factorials

The Factorial 22 (that is, 22! in normal
short-hand) is 1124000727777607680000. Embedded in there are the digits
7777 at the digit positions 10 through 13. |

Find all those factorials less than 200 digits long which contain any four equal digits consecutively like the example given above, anywhere within the factorial. Note that trailing zeroes are excluded! |

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Last Updated: January 17th, 2010.