A139573 Numbers with 41 divisors.

1099511627776, 12157665459056928801, 9094947017729282379150390625, 6366805760909027985741435139224001, 452592555681759518058893560348969204658401

Offset

1,1

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

Formula

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

Mathematica

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

Prog

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

Crossrefs

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

Sequence in context: A186178 A287251 A165987 * A263205 A095428 A227893

Adjacent sequences: A139570 A139571 A139572 * A139574 A139575 A139576

Keyword

nonn,easy

Author

Omar E. Pol, May 07 2008

Extensions

More terms from Jon E. Schoenfield, May 18 2010

Status

approved