Geodesic
The Number of Non-Zero Digits of n!
Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 115-118

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DOI

Let $b$ be an integer with $b\,>\,1$ . In this note, we prove that the number of non-zero digits in the base $b$ representation of $n!$ grows at least as fast as a constant, depending on $b$ , times $\log \,n$ .
DOI : 10.4153/CMB-2002-013-9
Mots-clés : 11A63 
Luca, Florian. The Number of Non-Zero Digits of n!. Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 115-118. doi: 10.4153/CMB-2002-013-9
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     year = {2002},
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     doi = {10.4153/CMB-2002-013-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-013-9/}
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