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9991440441999 = 3219109536050241
BaseRepresentation
bin1001000101100101000001…
…0000100010001010001111
31022101011122122220122122200
42101121100100202022033
52302144432223120444
633130000540012543
72050600131323562
oct221312020421217
938334578818580
109991440441999
113202389720445
1211544a9231153
1357625ba095c3
142678344084d9
15124d78767969
hex9165042228f

9991440441999 has 24 divisors (see below), whose sum is σ = 15331036921200. Its totient is φ = 6252489999360.

The previous prime is 9991440441989. The next prime is 9991440442003.

9991440441999 is a `hidden beast` number, since 9 + 9 + 91 + 4 + 4 + 0 + 441 + 9 + 99 = 666.

9991440441999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9991440441999 - 212 = 9991440437903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9991440441949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268006482 + ... + 268043759.

It is an arithmetic number, because the mean of its divisors is an integer number (638793205050).

Almost surely, 29991440441999 is an apocalyptic number.

9991440441999 is a deficient number, since it is larger than the sum of its proper divisors (5339596479201).

9991440441999 is a wasteful number, since it uses less digits than its factorization.

9991440441999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536050375 (or 536050372 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 72.

The spelling of 9991440441999 in words is "nine trillion, nine hundred ninety-one billion, four hundred forty million, four hundred forty-one thousand, nine hundred ninety-nine".

Divisors: 1 3 9 19 57 109 171 327 981 2071 6213 18639 536050241 1608150723 4824452169 10184954579 30554863737 58429476269 91664591211 175288428807 525865286421 1110160049111 3330480147333 9991440441999