Search a number
-
+
14410204230114 = 23371110333647161
BaseRepresentation
bin1101000110110010001100…
…0110101011000111100010
31220000121020220112220221000
43101230203012223013202
53342044044240330424
650351542331212430
73015050202646440
oct321544306530742
956017226486830
1014410204230114
114656373684110
1217489642a7116
13806b51688274
1437b659957b90
1519ec985973c9
hexd1b231ab1e2

14410204230114 has 128 divisors (see below), whose sum is σ = 40311991848960. Its totient is φ = 3706571145600.

The previous prime is 14410204230113. The next prime is 14410204230119. The reversal of 14410204230114 is 41103240201441.

14410204230114 is a `hidden beast` number, since 1 + 4 + 410 + 2 + 0 + 4 + 230 + 1 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14410204230113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16395307 + ... + 17251854.

It is an arithmetic number, because the mean of its divisors is an integer number (314937436320).

Almost surely, 214410204230114 is an apocalyptic number.

14410204230114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14410204230114 is an abundant number, since it is smaller than the sum of its proper divisors (25901787618846).

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

14410204230114 is a wasteful number, since it uses less digits than its factorization.

14410204230114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33647293 (or 33647287 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14410204230114 its reverse (41103240201441), we get a palindrome (55513444431555).

The spelling of 14410204230114 in words is "fourteen trillion, four hundred ten billion, two hundred four million, two hundred thirty thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 103 126 154 189 198 206 231 297 309 378 462 594 618 693 721 927 1133 1386 1442 1854 2079 2163 2266 2781 3399 4158 4326 5562 6489 6798 7931 10197 12978 15862 19467 20394 23793 30591 38934 47586 61182 71379 142758 214137 428274 33647161 67294322 100941483 201882966 235530127 302824449 370118771 471060254 605648898 706590381 740237542 908473347 1110356313 1413180762 1816946694 2119771143 2220712626 2590831397 3331068939 3465657583 4239542286 5181662794 6359313429 6662137878 6931315166 7772494191 9993206817 10396972749 12718626858 15544988382 19986413634 20793945498 23317482573 24259603081 31190918247 38122233413 46634965146 48519206162 62381836494 69952447719 72778809243 76244466826 93572754741 114366700239 139904895438 145557618486 187145509482 218336427729 228733400478 266855633891 343100100717 436672855458 533711267782 655009283187 686200201434 800566901673 1029300302151 1310018566374 1601133803346 2058600604302 2401700705019 4803401410038 7205102115057 14410204230114