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14405040441 = 3211236372
BaseRepresentation
bin11010110101001101…
…10111100100111001
31101011220121212121100
431122212313210321
5214000142243231
610341222002013
71016653552311
oct153246674471
941156555540
1014405040441
1161222a7100
122960276309
1314874c678c
149a91d0441
155949901e6
hex35a9b7939

14405040441 has 27 divisors (see below), whose sum is σ = 22877102703. Its totient is φ = 8727927120.

The previous prime is 14405040431. The next prime is 14405040451. The reversal of 14405040441 is 14404050441.

The square root of 14405040441 is 120021.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (14405040431) and next prime (14405040451).

It can be written as a sum of positive squares in only one way, i.e., 385533225 + 14019507216 = 19635^2 + 118404^2 .

It is not a de Polignac number, because 14405040441 - 213 = 14405032249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14405040431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3958875 + ... + 3962511.

Almost surely, 214405040441 is an apocalyptic number.

14405040441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14405040441 is the 120021-st square number.

14405040441 is the 60011-st centered octagonal number.

It is an amenable number.

14405040441 is a deficient number, since it is larger than the sum of its proper divisors (8472062262).

14405040441 is an frugal number, since it uses more digits than its factorization.

14405040441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7302 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14405040441 its reverse (14404050441), we get a palindrome (28809090882).

The spelling of 14405040441 in words is "fourteen billion, four hundred five million, forty thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 3637 10911 32733 40007 120021 360063 440077 1320231 3960693 13227769 39683307 119049921 145505459 436516377 1309549131 1600560049 4801680147 14405040441