Search a number
-
+
14443134300441 = 32711372399234799
BaseRepresentation
bin1101001000101100110111…
…1000111011000100011001
31220010202020212021211011100
43102023031320323010121
53343114014340103231
650415030113022013
73020324221636410
oct322131570730431
956122225254140
1014443134300441
114669331865370
121753214554909
13809c9babc092
1437d0a11a4477
151a0a745501e6
hexd22cde3b119

14443134300441 has 96 divisors (see below), whose sum is σ = 26724372480000. Its totient is φ = 7297071027840.

The previous prime is 14443134300391. The next prime is 14443134300443. The reversal of 14443134300441 is 14400343134441.

14443134300441 is a `hidden beast` number, since 1 + 44 + 43 + 134 + 3 + 0 + 0 + 441 = 666.

14443134300441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14443134300441 - 29 = 14443134299929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14443134300396 and 14443134300405.

It is not an unprimeable number, because it can be changed into a prime (14443134300443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61395360 + ... + 61630158.

It is an arithmetic number, because the mean of its divisors is an integer number (278378880000).

Almost surely, 214443134300441 is an apocalyptic number.

14443134300441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14443134300441 is a deficient number, since it is larger than the sum of its proper divisors (12281238179559).

14443134300441 is a wasteful number, since it uses less digits than its factorization.

14443134300441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237259 (or 237256 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14443134300441 its reverse (14400343134441), we get a palindrome (28843477434882).

The spelling of 14443134300441 in words is "fourteen trillion, four hundred forty-three billion, one hundred thirty-four million, three hundred thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 21 33 37 63 77 99 111 231 259 333 407 693 777 1221 2331 2399 2849 3663 7197 8547 16793 21591 25641 26389 50379 79167 88763 151137 184723 234799 237501 266289 554169 621341 704397 798867 976393 1643593 1662507 1864023 2113191 2582789 2929179 4930779 5592069 6834751 7748367 8687563 8787537 14792337 18079523 20504253 23245101 26062689 54238569 60812941 61512759 78188067 95563193 162715707 182438823 286689579 547316469 563282801 668942351 860068737 1689848403 2006827053 3942979607 5069545209 6020481159 6196110811 11828938821 18588332433 20841463637 35486816463 43372775677 55764997299 62524390911 130118327031 145890245459 187573172733 229256100007 390354981093 437670736377 687768300021 1313012209131 1604792700049 2063304900063 4814378100147 14443134300441