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115243241320 = 23589193167729
BaseRepresentation
bin110101101010100001…
…0000100111101101000
3102000110111111020022001
41223111002010331220
53342004232210240
6124535250340344
711216556250204
oct1532502047550
9360414436261
10115243241320
11449688949a9
121a40288a6b4
13ab37872a6c
1458136c1b04
152ee759a89a
hex1ad5084f68

115243241320 has 64 divisors (see below), whose sum is σ = 263570922000. Its totient is φ = 45342916608.

The previous prime is 115243241299. The next prime is 115243241327. The reversal of 115243241320 is 23142342511.

It can be written as a sum of positive squares in 8 ways, for example, as 17850563236 + 97392678084 = 133606^2 + 312078^2 .

It is not an unprimeable number, because it can be changed into a prime (115243241327) 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 15 ways as a sum of consecutive naturals, for example, 603216 + ... + 770944.

Almost surely, 2115243241320 is an apocalyptic number.

115243241320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115243241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131785461000).

115243241320 is an abundant number, since it is smaller than the sum of its proper divisors (148327680680).

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

115243241320 is a wasteful number, since it uses less digits than its factorization.

115243241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168022 (or 168018 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 115243241320 its reverse (23142342511), we get a palindrome (138385583831).

The spelling of 115243241320 in words is "one hundred fifteen billion, two hundred forty-three million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 193 356 386 445 712 772 890 965 1544 1780 1930 3560 3860 7720 17177 34354 68708 85885 137416 167729 171770 335458 343540 670916 687080 838645 1341832 1677290 3354580 6709160 14927881 29855762 32371697 59711524 64743394 74639405 119423048 129486788 149278810 161858485 258973576 298557620 323716970 597115240 647433940 1294867880 2881081033 5762162066 11524324132 14405405165 23048648264 28810810330 57621620660 115243241320