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14406203529 = 32173172937
BaseRepresentation
bin11010110101010110…
…10011100010001001
31101011222210222001200
431122223103202021
5214000442003104
610341302534413
71016666465244
oct153253234211
941158728050
1014406203529
116122a20a33
122960737409
131487812cb3
149a941425b
15594b1eb39
hex35aad3889

14406203529 has 36 divisors (see below), whose sum is σ = 22126330044. Its totient is φ = 9001055232.

The previous prime is 14406203509. The next prime is 14406203549. The reversal of 14406203529 is 92530260441.

It is a happy number.

14406203529 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 620 + 3 + 5 + 29 = 666.

14406203529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14406203509) and next prime (14406203549).

It can be written as a sum of positive squares in 6 ways, for example, as 5636255625 + 8769947904 = 75075^2 + 93648^2 .

It is a de Polignac number, because none of the positive numbers 2k-14406203529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14406203493 and 14406203502.

It is not an unprimeable number, because it can be changed into a prime (14406203509) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 15374349 + ... + 15375285.

It is an arithmetic number, because the mean of its divisors is an integer number (614620279).

Almost surely, 214406203529 is an apocalyptic number.

It is an amenable number.

14406203529 is a deficient number, since it is larger than the sum of its proper divisors (7720126515).

14406203529 is an equidigital number, since it uses as much as digits as its factorization.

14406203529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 14406203529 in words is "fourteen billion, four hundred six million, two hundred three thousand, five hundred twenty-nine".

Divisors: 1 3 9 17 51 153 317 937 951 2811 2853 5389 8433 15929 16167 47787 48501 100489 143361 297029 301467 891087 904401 1708313 2673261 5049493 5124939 15148479 15374817 45445437 94158193 282474579 847423737 1600689281 4802067843 14406203529