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14044210101 = 3218176111329
BaseRepresentation
bin11010001010001100…
…11010001110110101
31100020202122210102200
431011012122032311
5212230304210401
610241332055113
71005012546645
oct150506321665
940222583380
1014044210101
115a57654a09
12287b464499
13142a81aabc
14973304525
15572e67686
hex34519a3b5

14044210101 has 24 divisors (see below), whose sum is σ = 20426766360. Its totient is φ = 9298022400.

The previous prime is 14044210099. The next prime is 14044210123. The reversal of 14044210101 is 10101244041.

14044210101 is a `hidden beast` number, since 140 + 4 + 421 + 0 + 101 = 666.

14044210101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2026350225 + 12017859876 = 45015^2 + 109626^2 .

It is not a de Polignac number, because 14044210101 - 21 = 14044210099 is a prime.

It is a super-2 number, since 2×140442101012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14044210181) 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 23 ways as a sum of consecutive naturals, for example, 1234005 + ... + 1245333.

It is an arithmetic number, because the mean of its divisors is an integer number (851115265).

Almost surely, 214044210101 is an apocalyptic number.

It is an amenable number.

14044210101 is a deficient number, since it is larger than the sum of its proper divisors (6382556259).

14044210101 is a wasteful number, since it uses less digits than its factorization.

14044210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12277 (or 12274 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14044210101 its reverse (10101244041), we get a palindrome (24145454142).

The spelling of 14044210101 in words is "fourteen billion, forty-four million, two hundred ten thousand, one hundred one".

Divisors: 1 3 9 181 543 761 1629 2283 6849 11329 33987 101961 137741 413223 1239669 2050549 6151647 8621369 18454941 25864107 77592321 1560467789 4681403367 14044210101