A139571 Numbers with 31 divisors.

1073741824, 205891132094649, 931322574615478515625, 22539340290692258087863249, 17449402268886407318558803753801, 2619995643649944960380551432833049

Offset: 1

Author

Omar E. Pol, May 07 2008

Keywords

• nonn
• easy

Comments

30th 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.

Start of 31st row of A073915. - R. J. Mathar, Jun 27 2009, Jun 28 2009

Links

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

Crossrefs

Cf. A073915, A122971, A137493 (30 divs), A175742 (32 divs).

Programs

Mathematica

Prime[Range[11]]^30 (* Vladimir Joseph Stephan Orlovsky, May 05 2011 *)

PARI

a(n)=prime(n)^30 \\ Charles R Greathouse IV, Jun 19 2016

Formula

a(n) = A000040(n)^(31-1) = A000040(n)^30.

a(n) = A122971(A000040(n)). - R. J. Mathar, Jun 27 2009