A139574 Numbers with 43 divisors.

4398046511104, 109418989131512359209, 227373675443232059478759765625, 311973482284542371301330321821976049, 54763699237492901685126120802225273763666521, 61040881526285814362156628321386486455989674569

Offset

1,1

Comments

42nd 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)^(43-1)=A000040(n)^42.

Mathematica

Prime[Range[9]]^42 (* Vladimir Joseph Stephan Orlovsky, May 05 2011 *)

Prog

(PARI) a(n)=prime(n)^42 \\ Charles R Greathouse IV, Jun 19 2016

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139575.

Sequence in context: A233504 A013640 A185431 * A233625 A237361 A216909

Adjacent sequences: A139571 A139572 A139573 * A139575 A139576 A139577

Keyword

nonn,easy

Author

Omar E. Pol, May 09 2008

Extensions

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

Status

approved