A139575 Numbers with 47 divisors.

70368744177664, 8862938119652501095929, 142108547152020037174224853515625, 749048330965186233494494102694564493649, 801795320536133573571931534665380233173841533961

Offset

1,1

Comments

46th 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

Omar E. Pol, Determinacion geometrica de los numeros primos y perfectos.

OEIS Wiki, Index entries for number of divisors

Formula

a(n)=A000040(n)^(47-1)=A000040(n)^46.

Mathematica

Prime[Range[9]]^46 (* Vladimir Joseph Stephan Orlovsky, May 06 2011 *)

Prog

(PARI) a(n)=prime(n)^46 \\ Charles R Greathouse IV, Jun 19 2016

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574.

Sequence in context: A233843 A234066 A320863 * A317874 A185432 A288285

Adjacent sequences: A139572 A139573 A139574 * A139576 A139577 A139578

Keyword

nonn,easy

Author

Omar E. Pol, May 09 2008

Extensions

More terms from R. J. Mathar, May 11 2008

Status

approved