A139572 Numbers with 37 divisors.

68719476736, 150094635296999121, 14551915228366851806640625, 2651730845859653471779023381601, 30912680532870672635673352936887453361, 12646218552730347184269489080961456410641

Offset

1,1

Comments

36th 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)^(37-1) = A000040(n)^36.

Maple

A139572 := proc(n) ithprime(n)^36 ; end proc: seq(A139572(n), n=1..10) ; # R. J. Mathar, Feb 05 2010

Mathematica

Prime[Range[10]]^36 (* Vladimir Joseph Stephan Orlovsky, May 05 2011 *)

Prog

(PARI) a(n)=prime(n)^36 \\ Charles R Greathouse IV, Jun 19 2016

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139573.

Sequence in context: A017376 A017496 A017628 * A321284 A186095 A218397

Adjacent sequences: A139569 A139570 A139571 * A139573 A139574 A139575

Keyword

nonn,easy

Author

Omar E. Pol, May 07 2008

Extensions

More terms from R. J. Mathar, Feb 05 2010

Status

approved