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14243342420430 = 23251722323809141
BaseRepresentation
bin1100111101000100100101…
…0111011000100111001110
31212102122120000121201121200
43033101021113120213032
53331330331124423210
650143145015410330
73000022205656254
oct317211127304716
955378500551550
1014243342420430
1145a1627522862
1217205566839a6
137c41ab93b136
1437354a9ba5d4
1519a77e4db0c0
hexcf4495d89ce

14243342420430 has 144 divisors (see below), whose sum is σ = 41049627431904. Its totient is φ = 3419373450240.

The previous prime is 14243342420383. The next prime is 14243342420443. The reversal of 14243342420430 is 3402424334241.

14243342420430 is a `hidden beast` number, since 1 + 4 + 24 + 3 + 3 + 424 + 204 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 11306341 + ... + 12502800.

It is an arithmetic number, because the mean of its divisors is an integer number (285066857166).

Almost surely, 214243342420430 is an apocalyptic number.

14243342420430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14243342420430 is an abundant number, since it is smaller than the sum of its proper divisors (26806285011474).

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

14243342420430 is a wasteful number, since it uses less digits than its factorization.

14243342420430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23809211 (or 23809191 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 14243342420430 its reverse (3402424334241), we get a palindrome (17645766754671).

The spelling of 14243342420430 in words is "fourteen trillion, two hundred forty-three billion, three hundred forty-two million, four hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 170 207 230 255 289 306 345 391 414 510 578 690 765 782 867 1035 1173 1445 1530 1734 1955 2070 2346 2601 2890 3519 3910 4335 5202 5865 6647 7038 8670 11730 13005 13294 17595 19941 26010 33235 35190 39882 59823 66470 99705 119646 199410 299115 598230 23809141 47618282 71427423 119045705 142854846 214282269 238091410 357137115 404755397 428564538 547610243 714274230 809510794 1071411345 1095220486 1214266191 1642830729 2023776985 2142822690 2428532382 2738051215 3285661458 3642798573 4047553970 4928492187 5476102430 6071330955 6880841749 7285597146 8214153645 9309374131 9856984374 12142661910 13761683498 16428307290 18213992865 18618748262 20642525247 24642460935 27928122393 34404208745 36427985730 41285050494 46546870655 49284921870 55856244786 61927575741 68808417490 83784367179 93093741310 103212626235 123855151482 139640611965 158259360227 167568734358 206425252470 279281223930 309637878705 316518720454 418921835895 474778080681 619275757410 791296801135 837843671790 949556161362 1424334242043 1582593602270 2373890403405 2848668484086 4747780806810 7121671210215 14243342420430