Search a number
-
+
14234302240300 = 22522337916329359
BaseRepresentation
bin1100111100100010111010…
…0001110101011000101100
31212101210012222220222211101
43033020232201311120230
53331203322333142200
650135052001132444
72666252164500052
oct317105641653054
955353188828741
1014234302240300
11459880858870a
12171a85302a124
137c339aa6031c
14372d301061d2
1519a400a2426a
hexcf22e87562c

14234302240300 has 72 divisors (see below), whose sum is σ = 32316456614400. Its totient is φ = 5431797645120.

The previous prime is 14234302240219. The next prime is 14234302240307. The reversal of 14234302240300 is 304220343241.

14234302240300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14234302240307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7292980 + ... + 9036379.

It is an arithmetic number, because the mean of its divisors is an integer number (448839675200).

Almost surely, 214234302240300 is an apocalyptic number.

14234302240300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14234302240300 is an abundant number, since it is smaller than the sum of its proper divisors (18082154374100).

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

14234302240300 is a wasteful number, since it uses less digits than its factorization.

14234302240300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16329775 (or 16329768 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 14234302240300 its reverse (304220343241), we get a palindrome (14538522583541).

The spelling of 14234302240300 in words is "fourteen trillion, two hundred thirty-four billion, three hundred two million, two hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 379 460 575 758 1150 1516 1895 2300 3790 7580 8717 9475 17434 18950 34868 37900 43585 87170 174340 217925 435850 871700 16329359 32658718 65317436 81646795 163293590 326587180 375575257 408233975 751150514 816467950 1502301028 1632935900 1877876285 3755752570 6188827061 7511505140 9389381425 12377654122 18778762850 24755308244 30944135305 37557525700 61888270610 123776541220 142343022403 154720676525 284686044806 309441353050 569372089612 618882706100 711715112015 1423430224030 2846860448060 3558575560075 7117151120150 14234302240300