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14410802025 = 32525321512
BaseRepresentation
bin11010110101111001…
…10110001101101001
31101012022110121000100
431122330312031221
5214003131131100
610341545300013
71020053540034
oct153274661551
941168417010
1014410802025
116125581944
122962194609
1314887630b9
149a9c9001b
1559522c400
hex35af36369

14410802025 has 81 divisors (see below), whose sum is σ = 26482918917. Its totient is φ = 7490808000.

The previous prime is 14410801987. The next prime is 14410802027. The reversal of 14410802025 is 52020801441.

The square root of 14410802025 is 120045.

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

It can be written as a sum of positive squares in 4 ways, for example, as 108555561 + 14302246464 = 10419^2 + 119592^2 .

It is not a de Polignac number, because 14410802025 - 29 = 14410801513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14410802025.

It is not an unprimeable number, because it can be changed into a prime (14410802027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 95435700 + ... + 95435850.

Almost surely, 214410802025 is an apocalyptic number.

14410802025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14410802025 is the 120045-th square number.

14410802025 is the 60023-rd centered octagonal number.

It is an amenable number.

14410802025 is a deficient number, since it is larger than the sum of its proper divisors (12072116892).

14410802025 is an equidigital number, since it uses as much as digits as its factorization.

14410802025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 14410802025 in words is "fourteen billion, four hundred ten million, eight hundred two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 151 159 225 265 453 477 755 795 1325 1359 2265 2385 2809 3775 3975 6795 8003 8427 11325 11925 14045 22801 24009 25281 33975 40015 42135 68403 70225 72027 114005 120045 126405 200075 205209 210675 342015 360135 424159 570025 600225 632025 1026045 1208453 1272477 1710075 1800675 2120795 3625359 3817431 5130225 6042265 6362385 10603975 10876077 18126795 19087155 30211325 31811925 54380385 64048009 90633975 95435775 192144027 271901925 320240045 576432081 960720135 1601200225 2882160405 4803600675 14410802025