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14145532220133 = 322153730016629
BaseRepresentation
bin1100110111011000001101…
…1011000101001011100101
31212002022002110110201211200
43031312003123011023211
53323230022222021013
650030211235353113
72656660321664406
oct315660333051345
955068073421750
1014145532220133
1145640a518a686
1217055ba152799
137b7bc19cb282
1436c90c6dd9ad
15197e57655e73
hexcdd836c52e5

14145532220133 has 12 divisors (see below), whose sum is σ = 20441925673260. Its totient is φ = 9425974700736.

The previous prime is 14145532220111. The next prime is 14145532220147. The reversal of 14145532220133 is 33102223554141.

14145532220133 is a `hidden beast` number, since 1 + 41 + 455 + 32 + 2 + 2 + 0 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3348669423969 + 10796862796164 = 1829937^2 + 3285858^2 .

It is not a de Polignac number, because 14145532220133 - 218 = 14145531957989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14145532220933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364988938 + ... + 365027691.

It is an arithmetic number, because the mean of its divisors is an integer number (1703493806105).

Almost surely, 214145532220133 is an apocalyptic number.

It is an amenable number.

14145532220133 is a deficient number, since it is larger than the sum of its proper divisors (6296393453127).

14145532220133 is a wasteful number, since it uses less digits than its factorization.

14145532220133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730018788 (or 730018785 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 14145532220133 its reverse (33102223554141), we get a palindrome (47247755774274).

The spelling of 14145532220133 in words is "fourteen trillion, one hundred forty-five billion, five hundred thirty-two million, two hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 9 2153 6459 19377 730016629 2190049887 6570149661 1571725802237 4715177406711 14145532220133