A225194 Largest highly abundant number with n distinct prime factors.

1, 16, 288, 7200, 604800, 46569600, 1816214400, 92626934400, 5573053886400, 445257673660800, 11738611396512000, 1734575477357923200, 98737373326527936000, 8491414106081402496000, 1697221394453020323888000, 372257225850029124372768000

Offset

0,2

Comments

a(n) is the largest number in sequence A002093, with A001221(a(n)) = n.

References

S. S. Pillai, Highly abundant numbers, Bull. Calcutta Math. Soc., 35, (1943), 141-156

Links

Table of n, a(n) for n=0..15.

L. Alaoglu and P. Erdős, On highly composite and similar numbers, Trans. Amer. Math. Soc., 56 (1944), 448-469.

Wikipedia, Highly abundant number

Crossrefs

Cf. A002093, A001222.

Cf. A192929.

Sequence in context: A230347 A182608 A320763 * A027776 A140770 A099279

Adjacent sequences: A225191 A225192 A225193 * A225195 A225196 A225197

Keyword

nonn

Author

Enrique Pérez Herrero, May 01 2013

Extensions

Offset corrected by Peter Munn, May 21 2026

Status

approved