# Pin the tail on the factorial

You are told that the last fourteen digits of $$33!$$ (from the right) are $\overline{94401abc000000},$ where $$a, b$$ and $$c$$ are digits. What is the value of $$\overline{abc}$$?

Details and Assumptions:

• $$\overline{abc}$$ means $$100a + 10b + 1c$$, as opposed to $$a \times b \times c$$. As an explicit example, for $$a=2, b=3, c=4$$, $$\overline{abc} = 234$$ and not $$2 \times 3 \times 4 = 24$$.

• The last 3 digits of the number $$1023$$ are $$023$$.

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