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14130410430340 = 225103593104911027
BaseRepresentation
bin1100110110011111111000…
…0110000001111110000100
31212000212001121011012222001
43031213332012001332010
53323003040032232330
650015230531115044
72655613512620611
oct315477606017604
955025047135861
1014130410430340
114558745344146
121702699a42a84
137b6651b7c769
1436bcb6255508
1519786ecd59ca
hexcd9fe181f84

14130410430340 has 96 divisors (see below), whose sum is σ = 30043818604800. Its totient is φ = 5582016761856.

The previous prime is 14130410430307. The next prime is 14130410430341. The reversal of 14130410430340 is 4303401403141.

It is a happy number.

It is a super-2 number, since 2×141304104303402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14130410430299 and 14130410430308.

It is not an unprimeable number, because it can be changed into a prime (14130410430341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1281431907 + ... + 1281442933.

It is an arithmetic number, because the mean of its divisors is an integer number (312956443800).

Almost surely, 214130410430340 is an apocalyptic number.

14130410430340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14130410430340 is an abundant number, since it is smaller than the sum of its proper divisors (15913408174460).

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

14130410430340 is a wasteful number, since it uses less digits than its factorization.

14130410430340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12781 (or 12779 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14130410430340 its reverse (4303401403141), we get a palindrome (18433811833481).

The spelling of 14130410430340 in words is "fourteen trillion, one hundred thirty billion, four hundred ten million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 103 206 412 515 593 1030 1049 1186 2060 2098 2372 2965 4196 5245 5930 10490 11027 11860 20980 22054 44108 55135 61079 108047 110270 122158 216094 220540 244316 305395 432188 540235 610790 622057 1080470 1135781 1221580 1244114 2160940 2271562 2488228 3110285 4543124 5678905 6220570 6539011 11357810 11567323 12441140 13078022 22715620 23134646 26156044 32695055 46269292 57836615 64071871 65390110 115673230 128143742 130780220 231346460 256287484 320359355 640718710 673518133 1191434269 1281437420 1347036266 2382868538 2694072532 3367590665 4765737076 5957171345 6735181330 6859422539 11914342690 13470362660 13718845078 23828685380 27437690156 34297112695 68594225390 137188450780 706520521517 1413041043034 2826082086068 3532602607585 7065205215170 14130410430340