%I A114888
%S A114888 1379454720,14182439040,680489641226538823680000,
%T A114888 15229814702070563916152832000,34111227434420791224041472000,
%U A114888 1423615645454579571642097845619575340668304766095889698652160000000
%N A114888 Multiperfect numbers, sigma(n) = k*n, which are divisible by their sums 
               of prime factors with and without repetition.
%C A114888 Conjecture: the sequence is finite.
%H A114888 Achim Flammenkamp, <a href="http://wwwhomes.uni-bielefeld.de/achim/mpn.html">
               List with multiperfect numbers</a>
%H A114888 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               MultiperfectNumber.html">Multiperfect numbers</a>
%e A114888 a(0)= 1379454720 = 2^8*3*5*7*19*37*73
%e A114888 sofpr(1379454720),with rep.) = 160 = 2^5*5
%e A114888 sofpr(1379454720),without rep.) = 146 = 2*73
%Y A114888 Cf. A091443, A114887.
%Y A114888 Sequence in context: A113641 A068746 A091443 this_sequence A105015 A069320 
               A129249
%Y A114888 Adjacent sequences: A114885 A114886 A114887 this_sequence A114889 A114890 
               A114891
%K A114888 fini,nonn
%O A114888 1,1
%A A114888 Sven Simon (sven-h.simon(AT)t-online.de), Feb 19 2006