A139573 Numbers with 41 divisors.

1099511627776, 12157665459056928801, 9094947017729282379150390625, 6366805760909027985741435139224001, 452592555681759518058893560348969204658401

Offset: 1

Author

Omar E. Pol, May 07 2008

Keywords

• nonn
• easy

Comments

40th powers of primes. The n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime.

Links

• T. D. Noe, Table of n, a(n) for n = 1..1000
• OEIS Wiki, Index entries for number of divisors

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572.

Programs

Mathematica

Prime[Range[9]]^40 (* Vladimir Joseph Stephan Orlovsky, May 05 2011 *)

PARI

a(n)=prime(n)^40 \\ Charles R Greathouse IV, Jun 19 2016

Formula

a(n)=A000040(n)^(41-1)=A000040(n)^40.

Extensions

More terms from Jon E. Schoenfield, May 18 2010