A139574 Numbers with 43 divisors.

4398046511104, 109418989131512359209, 227373675443232059478759765625, 311973482284542371301330321821976049, 54763699237492901685126120802225273763666521, 61040881526285814362156628321386486455989674569

Offset: 1

Author

Omar E. Pol, May 09 2008

Keywords

• nonn
• easy

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

Crossrefs

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

Programs

Mathematica

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

PARI

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

Formula

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

Extensions

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