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11414414205 = 325892850041
BaseRepresentation
bin10101010000101101…
…00010001101111101
31002110111020022122200
422220112202031331
5141334042223310
65124350302113
7552600630345
oct125026421575
932414208580
1011414414205
114928159377
1222667b7939
1310cba44a5c
147a3d47d25
1546c14d9c0
hex2a85a237d

11414414205 has 24 divisors (see below), whose sum is σ = 20007294840. Its totient is φ = 6019284480.

The previous prime is 11414414149. The next prime is 11414414279. The reversal of 11414414205 is 50241441411.

It is a happy number.

11414414205 is a `hidden beast` number, since 1 + 1 + 41 + 4 + 414 + 205 = 666.

11414414205 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 2498900121 + 8915514084 = 49989^2 + 94422^2 .

It is not a de Polignac number, because 11414414205 - 29 = 11414413693 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 1421016 + ... + 1429025.

It is an arithmetic number, because the mean of its divisors is an integer number (833637285).

Almost surely, 211414414205 is an apocalyptic number.

11414414205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11414414205 is a deficient number, since it is larger than the sum of its proper divisors (8592880635).

11414414205 is a wasteful number, since it uses less digits than its factorization.

11414414205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850141 (or 2850138 counting only the distinct ones).

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

Adding to 11414414205 its reverse (50241441411), we get a palindrome (61655855616).

The spelling of 11414414205 in words is "eleven billion, four hundred fourteen million, four hundred fourteen thousand, two hundred five".

Divisors: 1 3 5 9 15 45 89 267 445 801 1335 4005 2850041 8550123 14250205 25650369 42750615 128251845 253653649 760960947 1268268245 2282882841 3804804735 11414414205