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13640105411114 = 2721327919752919
BaseRepresentation
bin1100011001111101010110…
…1000110100001000101010
31210021222111101202120010112
43012133111220310020222
53241434413441123424
645002102233014322
72605315346000300
oct306372550641052
953258441676115
1013640105411114
1143898109a9256
1216436638543a2
1377c344484900
14352282876270
15189c253ae60e
hexc67d5a3422a

13640105411114 has 144 divisors (see below), whose sum is σ = 26231444870400. Its totient is φ = 5300636035968.

The previous prime is 13640105411057. The next prime is 13640105411147. The reversal of 13640105411114 is 41111450104631.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 257727947 + ... + 257780865.

It is an arithmetic number, because the mean of its divisors is an integer number (182162811600).

Almost surely, 213640105411114 is an apocalyptic number.

13640105411114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13640105411114 is a deficient number, since it is larger than the sum of its proper divisors (12591339459286).

13640105411114 is a wasteful number, since it uses less digits than its factorization.

13640105411114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53237 (or 53217 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

Adding to 13640105411114 its reverse (41111450104631), we get a palindrome (54751555515745).

The spelling of 13640105411114 in words is "thirteen trillion, six hundred forty billion, one hundred five million, four hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 7 13 14 26 49 79 91 98 158 169 182 197 338 394 553 637 1027 1106 1183 1274 1379 2054 2366 2561 2758 3871 5122 7189 7742 8281 9653 13351 14378 15563 16562 17927 19306 26702 31126 33293 35854 50323 52919 66586 93457 100646 105838 108941 125489 186914 202319 217882 233051 250978 370433 404638 466102 654199 687947 740866 762587 1308398 1375894 1416233 1525174 1631357 2593031 2630147 2832466 3262714 4180601 4815629 5186062 5260294 8361202 8943311 9631258 9913631 10425043 17886622 18411029 19827262 20850086 29264207 33709403 36822058 54347813 58528414 62603177 67418806 72975301 108695626 125206354 128877203 135525559 145950602 204849449 257754406 271051118 380434691 409698898 438222239 510827107 706521569 760869382 823578397 876444478 948678913 1021654214 1413043138 1647156794 1761832267 1897357826 2663042837 3523664534 4945650983 5326085674 5765048779 6640752391 9891301966 10706519161 11530097558 12332825869 13281504782 21413038322 24665651738 34619556881 40355341453 69239113762 74945634127 80710682906 86329781083 139184749093 149891268254 172659562166 278369498186 524619438889 974293243651 1049238877778 1948586487302 6820052705557 13640105411114