Search a number
-
+
144136223205 = 351317614431609
BaseRepresentation
bin1000011000111100110…
…0000011100111100101
3111210001002201210022020
42012033030003213211
54330142333120310
6150114255253353
713261554453042
oct2061714034745
9453032653266
10144136223205
115614515a927
1223b26b1a259
131079079a950
146d94ac21c9
153b38e04170
hex218f3039e5

144136223205 has 128 divisors (see below), whose sum is σ = 268047843840. Its totient is φ = 65501429760.

The previous prime is 144136223183. The next prime is 144136223207. The reversal of 144136223205 is 502322631441.

It is not a de Polignac number, because 144136223205 - 25 = 144136223173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144136223207) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89580441 + ... + 89582049.

It is an arithmetic number, because the mean of its divisors is an integer number (2094123780).

Almost surely, 2144136223205 is an apocalyptic number.

144136223205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144136223205 is a deficient number, since it is larger than the sum of its proper divisors (123911620635).

144136223205 is a wasteful number, since it uses less digits than its factorization.

144136223205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 144136223205 its reverse (502322631441), we get a palindrome (646458854646).

The spelling of 144136223205 in words is "one hundred forty-four billion, one hundred thirty-six million, two hundred twenty-three thousand, two hundred five".

Divisors: 1 3 5 13 15 17 39 51 61 65 85 183 195 221 255 305 443 663 793 915 1037 1105 1329 1609 2215 2379 3111 3315 3965 4827 5185 5759 6645 7531 8045 11895 13481 15555 17277 20917 22593 24135 27023 27353 28795 37655 40443 62751 67405 81069 82059 86385 97903 98149 104585 112965 135115 136765 202215 293709 294447 313755 351299 355589 405345 410295 459391 489515 490745 712787 1053897 1066767 1275937 1378173 1468545 1472235 1668533 1756495 1777945 2138361 2296955 3563935 3827811 5005599 5269485 5333835 5972083 6379685 6890865 8342665 9266231 10691805 12117379 17916249 19139055 21690929 25027995 27798693 29860415 36352137 43480007 46331155 60586895 65072787 89581245 108454645 130440021 138993465 157525927 181760685 217400035 325363935 472577781 565240091 652200105 739160119 787629635 1695720273 2217480357 2362888905 2826200455 3695800595 8478601365 9609081547 11087401785 28827244641 48045407735 144136223205