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14134004300 = 22521331673433
BaseRepresentation
bin11010010100111001…
…11100101001001100
31100111000121210220202
431022130330221030
5212421301114200
610254300433032
71010153024423
oct151234745114
940430553822
1014134004300
115aa3305699
1228a5548778
1314432ca170
149811da2ba
1557aca31d5
hex34a73ca4c

14134004300 has 72 divisors (see below), whose sum is σ = 33050134656. Its totient is φ = 5215541760.

The previous prime is 14134004299. The next prime is 14134004327. The reversal of 14134004300 is 340043141.

It is a happy number.

14134004300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4115384 + ... + 4118816.

It is an arithmetic number, because the mean of its divisors is an integer number (459029648).

Almost surely, 214134004300 is an apocalyptic number.

14134004300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14134004300 is an abundant number, since it is smaller than the sum of its proper divisors (18916130356).

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

14134004300 is a wasteful number, since it uses less digits than its factorization.

14134004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14134004300 its reverse (340043141), we get a palindrome (14474047441).

The spelling of 14134004300 in words is "fourteen billion, one hundred thirty-four million, four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 3167 3433 6334 6866 12668 13732 15835 17165 31670 34330 41171 44629 63340 68660 79175 82342 85825 89258 158350 164684 171650 178516 205855 223145 316700 343300 411710 446290 823420 892580 1029275 1115725 2058550 2231450 4117100 4462900 10872311 21744622 43489244 54361555 108723110 141340043 217446220 271807775 282680086 543615550 565360172 706700215 1087231100 1413400430 2826800860 3533501075 7067002150 14134004300