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: 1

Author

Enrique Pérez Herrero, May 01 2013

Keywords

• nonn

Comments

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

References

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

Links

• 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.