A077516 Largest n-digit number beginning with n and having n divisors, or 0 if no such number exists.

1, 29, 361, 4997, 0, 699964, 0, 89999995, 999887641, 1099999504, 0, 129999999988, 0, 14999999996224, 159999933195664, 1699999999999998, 0, 189999999999999477, 0, 20999999999999999817, 219999996968515384384, 2299999999999999765504, 0, 249999999999999999999988

Offset

1,2

Links

Table of n, a(n) for n=1..24.

Example

a(4) = 4989 = 3*1663 has 4 divisors: 1, 3, 1663 and 4989. a(5) = 0 as 13^4 = 28561 < 50000 < 59999 < 83521 = 17^4.

Crossrefs

Cf. A077515.

Sequence in context: A239743 A022689 A234810 * A142278 A281059 A010834

Adjacent sequences: A077513 A077514 A077515 * A077517 A077518 A077519

Keyword

base,nonn

Author

Amarnath Murthy, Nov 08 2002

Extensions

Corrected and extended by Ray Chandler, Aug 15 2003

a(24) from Jon E. Schoenfield, Mar 17 2022

Status

approved