Search a number
-
+
114413054130 = 232512713197589
BaseRepresentation
bin110101010001110001…
…1001010100010110010
3101221022122100100120100
41222203203022202302
53333304220213010
6124321032453230
711160155625324
oct1524343124262
9357278310510
10114413054130
1144582205a91
121a21084a216
13aa3488093b
145775339614
152e9975e2c0
hex1aa38ca8b2

114413054130 has 96 divisors (see below), whose sum is σ = 300083097600. Its totient is φ = 30242975616.

The previous prime is 114413054089. The next prime is 114413054131. The reversal of 114413054130 is 31450314411.

114413054130 is a `hidden beast` number, since 11 + 441 + 30 + 54 + 130 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114413054094 and 114413054103.

It is not an unprimeable number, because it can be changed into a prime (114413054131) 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 47 ways as a sum of consecutive naturals, for example, 15072376 + ... + 15079964.

It is an arithmetic number, because the mean of its divisors is an integer number (3125865600).

Almost surely, 2114413054130 is an apocalyptic number.

114413054130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114413054130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150041548800).

114413054130 is an abundant number, since it is smaller than the sum of its proper divisors (185670043470).

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

114413054130 is a wasteful number, since it uses less digits than its factorization.

114413054130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048 (or 9045 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 114413054130 its reverse (31450314411), we get a palindrome (145863368541).

The spelling of 114413054130 in words is "one hundred fourteen billion, four hundred thirteen million, fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1319 1905 2286 2638 3810 3957 5715 6595 7589 7914 11430 11871 13190 15178 19785 22767 23742 37945 39570 45534 59355 68301 75890 113835 118710 136602 167513 227670 335026 341505 502539 683010 837565 963803 1005078 1507617 1675130 1927606 2512695 2891409 3015234 4819015 5025390 5782818 7538085 8674227 9638030 10009891 14457045 15076170 17348454 20019782 28914090 30029673 43371135 50049455 60059346 86742270 90089019 100098910 150148365 180178038 300296730 450445095 900890190 1271256157 2542512314 3813768471 6356280785 7627536942 11441305413 12712561570 19068842355 22882610826 38137684710 57206527065 114413054130