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115542442305 = 345285289981
BaseRepresentation
bin110101110011011011…
…1011100000101000001
3102001020100111012220000
41223212313130011001
53343112331123210
6125025055310213
711230151361243
oct1534667340501
9361210435800
10115542442305
1145001773044
121a486b1b369
13ab84850c74
145841328093
15301399cac0
hex1ae6ddc141

115542442305 has 20 divisors (see below), whose sum is σ = 207120526932. Its totient is φ = 61622635680.

The previous prime is 115542442283. The next prime is 115542442343. The reversal of 115542442305 is 503244245511.

115542442305 is a `hidden beast` number, since 11 + 554 + 24 + 42 + 30 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13387415616 + 102155026689 = 115704^2 + 319617^2 .

It is not a de Polignac number, because 115542442305 - 25 = 115542442273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 115542442305.

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, 142644586 + ... + 142645395.

Almost surely, 2115542442305 is an apocalyptic number.

115542442305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115542442305 is a deficient number, since it is larger than the sum of its proper divisors (91578084627).

115542442305 is an equidigital number, since it uses as much as digits as its factorization.

115542442305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285289998 (or 285289989 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 115542442305 its reverse (503244245511), we get a palindrome (618786687816).

The spelling of 115542442305 in words is "one hundred fifteen billion, five hundred forty-two million, four hundred forty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 285289981 855869943 1426449905 2567609829 4279349715 7702829487 12838049145 23108488461 38514147435 115542442305