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A068183
Largest number without decimal digits equal to 1 whose product of digits gives n!.
10
2, 32, 3222, 53222, 5332222, 75332222, 75332222222, 7533332222222, 755333322222222
OFFSET
2,1
COMMENTS
Maximal solutions are obtained from the concatenation of distinct prime factors that have one decimal digit. The sequence is finite because, for n>10, n! has 2-digit prime factors.
FORMULA
a(n)=Max{x; f[x]=n!}, where x has no digit=1 and f[x_] := Apply[Times, IntegerDigits[x]].
KEYWORD
base,fini,nonn,full
AUTHOR
Labos Elemer, Feb 18 2002
STATUS
approved