Search a number
-
+
14141242112100 = 22352172772792571
BaseRepresentation
bin1100110111001000001110…
…1101100111100001100100
31212001220000110212122222120
43031302003231213201210
53323142230440041400
650024221423425540
72656446106450665
oct315620355474144
955056013778876
1014141242112100
1145622a3568a54
1217048014552b0
137b7689c633cc
1436c622a2d36c
15197ca5bc7ca0
hexcdc83b67864

14141242112100 has 72 divisors (see below), whose sum is σ = 43322111144928. Its totient is φ = 3549174489600.

The previous prime is 14141242112033. The next prime is 14141242112149. The reversal of 14141242112100 is 121124214141.

14141242112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1386391186 + ... + 1386401385.

It is an arithmetic number, because the mean of its divisors is an integer number (601695988124).

Almost surely, 214141242112100 is an apocalyptic number.

14141242112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14141242112100 is an abundant number, since it is smaller than the sum of its proper divisors (29180869032828).

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

14141242112100 is a wasteful number, since it uses less digits than its factorization.

14141242112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772792605 (or 2772792598 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 14141242112100 its reverse (121124214141), we get a palindrome (14262366326241).

The spelling of 14141242112100 in words is "fourteen trillion, one hundred forty-one billion, two hundred forty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 2772792571 5545585142 8318377713 11091170284 13863962855 16636755426 27727925710 33273510852 41591888565 47137473707 55455851420 69319814275 83183777130 94274947414 138639628550 141412421121 166367554260 188549894828 207959442825 235687368535 277279257100 282824842242 415918885650 471374737070 565649684484 707062105605 831837771300 942749474140 1178436842675 1414124211210 2356873685350 2828248422420 3535310528025 4713747370700 7070621056050 14141242112100