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14091081696 = 2532325915013
BaseRepresentation
bin11010001111110010…
…01101011111100000
31100101000212010011200
431013321031133200
5212324304103241
610250124441200
71006122134556
oct150771153740
940330763150
1014091081696
115a8105926a
1228930a9200
13143744c283
14979625bd6
155771254b6
hex347e4d7e0

14091081696 has 72 divisors (see below), whose sum is σ = 40086479160. Its totient is φ = 4695273216.

The previous prime is 14091081691. The next prime is 14091081743. The reversal of 14091081696 is 69618019041.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14091081691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931086 + ... + 946098.

It is an arithmetic number, because the mean of its divisors is an integer number (556756655).

Almost surely, 214091081696 is an apocalyptic number.

14091081696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14091081696 is an abundant number, since it is smaller than the sum of its proper divisors (25995397464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14091081696 is a wasteful number, since it uses less digits than its factorization.

14091081696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18288 (or 18277 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 14091081696 in words is "fourteen billion, ninety-one million, eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3259 6518 9777 13036 15013 19554 26072 29331 30026 39108 45039 52144 58662 60052 78216 90078 104288 117324 120104 135117 156432 180156 234648 240208 270234 312864 360312 469296 480416 540468 720624 938592 1080936 1441248 2161872 4323744 48927367 97854734 146782101 195709468 293564202 391418936 440346303 587128404 782837872 880692606 1174256808 1565675744 1761385212 2348513616 3522770424 4697027232 7045540848 14091081696