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14041100385 = 335138000627
BaseRepresentation
bin11010001001110101…
…00011000001100001
31100020112210210201000
431010322203001201
5212224010203020
610241141302213
71004644245504
oct150472430141
940215723630
1014041100385
115a559205a4
12287a404969
131429c9c530
14972b3513b
15572a51090
hex344ea3061

14041100385 has 32 divisors (see below), whose sum is σ = 26882110080. Its totient is φ = 6912540864.

The previous prime is 14041100371. The next prime is 14041100401. The reversal of 14041100385 is 58300114041.

It is a happy number.

14041100385 is a `hidden beast` number, since 140 + 41 + 100 + 385 = 666.

It is not a de Polignac number, because 14041100385 - 27 = 14041100257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3998559 + ... + 4002068.

It is an arithmetic number, because the mean of its divisors is an integer number (840065940).

Almost surely, 214041100385 is an apocalyptic number.

14041100385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14041100385 is a deficient number, since it is larger than the sum of its proper divisors (12841009695).

14041100385 is a wasteful number, since it uses less digits than its factorization.

14041100385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8000654 (or 8000648 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 14041100385 in words is "fourteen billion, forty-one million, one hundred thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 8000627 24001881 40003135 72005643 104008151 120009405 216016929 312024453 360028215 520040755 936073359 1080084645 1560122265 2808220077 4680366795 14041100385