Search a number
-
+
11140412241114 = 234135289844369
BaseRepresentation
bin1010001000011101010001…
…0100000111010011011010
31110110000100111001120120000
42202013110110013103122
52430011031013203424
635405500145113430
72226603541426632
oct242072424072332
943400314046500
1011140412241114
113605693309992
1212bb105628876
1362a6c85222b0
142a72ad8336c2
15144bc36ab3c9
hexa21d45074da

11140412241114 has 40 divisors (see below), whose sum is σ = 26882989088340. Its totient is φ = 3427819150464.

The previous prime is 11140412241089. The next prime is 11140412241137. The reversal of 11140412241114 is 41114221404111.

It is a happy number.

11140412241114 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 0 + 412 + 241 + 1 + 1 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10857848765625 + 282563475489 = 3295125^2 + 531567^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2644920079 + ... + 2644924290.

Almost surely, 211140412241114 is an apocalyptic number.

11140412241114 is an abundant number, since it is smaller than the sum of its proper divisors (15742576847226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11140412241114 is a wasteful number, since it uses less digits than its factorization.

11140412241114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289844396 (or 5289844387 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 11140412241114 its reverse (41114221404111), we get a palindrome (52254633645225).

The spelling of 11140412241114 in words is "eleven trillion, one hundred forty billion, four hundred twelve million, two hundred forty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 5289844369 10579688738 15869533107 31739066214 47608599321 68767976797 95217198642 137535953594 142825797963 206303930391 285651595926 412607860782 428477393889 618911791173 856954787778 1237823582346 1856735373519 3713470747038 5570206120557 11140412241114