Search a number
-
+
11313051440 = 245197442797
BaseRepresentation
bin10101000100100111…
…10111011100110000
31002012102111120002012
422202103313130300
5141132120121230
65110325542052
7550230231155
oct124223673460
932172446065
1011313051440
114885a16a99
122238874928
1310b3a44ba2
147946c022c
154632ca395
hex2a24f7730

11313051440 has 40 divisors (see below), whose sum is σ = 27687208560. Its totient is φ = 4287050496.

The previous prime is 11313051427. The next prime is 11313051443. The reversal of 11313051440 is 4415031311.

It is a happy number.

11313051440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11313051443) 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 7 ways as a sum of consecutive naturals, for example, 3719879 + ... + 3722918.

It is an arithmetic number, because the mean of its divisors is an integer number (692180214).

Almost surely, 211313051440 is an apocalyptic number.

11313051440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313051440 is an abundant number, since it is smaller than the sum of its proper divisors (16374157120).

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

11313051440 is a wasteful number, since it uses less digits than its factorization.

11313051440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7442829 (or 7442823 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 11313051440 its reverse (4415031311), we get a palindrome (15728082751).

The spelling of 11313051440 in words is "eleven billion, three hundred thirteen million, fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 7442797 14885594 29771188 37213985 59542376 74427970 119084752 141413143 148855940 282826286 297711880 565652572 595423760 707065715 1131305144 1414131430 2262610288 2828262860 5656525720 11313051440