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14213440125 = 325329435661
BaseRepresentation
bin11010011110010111…
…11110001001111101
31100200120002120101100
431033023332021331
5213102120041000
610310215203313
71012136150643
oct151713761175
940616076340
1014213440125
116034130a35
122908076539
1314568c0801
1498b997193
15582c44a00
hex34f2fe27d

14213440125 has 48 divisors (see below), whose sum is σ = 26505676080. Its totient is φ = 7319088000.

The previous prime is 14213440081. The next prime is 14213440169. The reversal of 14213440125 is 52104431241.

14213440125 is a `hidden beast` number, since 1 + 4 + 213 + 440 + 1 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (14213440081) and next prime (14213440169).

It can be written as a sum of positive squares in 8 ways, for example, as 8560505529 + 5652934596 = 92523^2 + 75186^2 .

It is not a de Polignac number, because 14213440125 - 29 = 14213439613 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185206 + ... + 250455.

It is an arithmetic number, because the mean of its divisors is an integer number (552201585).

Almost surely, 214213440125 is an apocalyptic number.

14213440125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14213440125 is a deficient number, since it is larger than the sum of its proper divisors (12292235955).

14213440125 is a wasteful number, since it uses less digits than its factorization.

14213440125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435711 (or 435698 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14213440125 its reverse (52104431241), we get a palindrome (66317871366).

The spelling of 14213440125 in words is "fourteen billion, two hundred thirteen million, four hundred forty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 261 375 435 725 1125 1305 2175 3625 6525 10875 32625 435661 1306983 2178305 3920949 6534915 10891525 12634169 19604745 32674575 37902507 54457625 63170845 98023725 113707521 163372875 189512535 315854225 490118625 568537605 947562675 1579271125 2842688025 4737813375 14213440125