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Numbers that can be written using its own digits in order and by using addition and factorial operators.
0

%I #6 Aug 13 2020 14:02:28

%S 144,145,733,5160,5161,5162,5163,5164,5165,5166,5167,5168,5169,40440,

%T 40441,40442,40443,40444,40445,40446,40447,40448,40449,40584,40585

%N Numbers that can be written using its own digits in order and by using addition and factorial operators.

%H Erich Friedman, <a href="https://erich-friedman.github.io/mathmagic/0803.html">Problem of the month August 2003</a>

%e 144 = (1 + 4)! + 4!

%e 145 = 1 + 4! + 5!

%e 5160 = 5 + (1 + 6)! + 0

%e 40440 = (4 + 0!)! + (4 + 4)! + 0

%e 40584 = (4 + 0!)! + 5! + 8! + 4!

%e 40585 = 4! + 0! + 5! + 8! + 5!

%K nonn,base

%O 1,1

%A _Kausthub Gudipati_, Sep 22 2011