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12340343143040 = 275117324012187
BaseRepresentation
bin1011001110010011010111…
…0001001111101010000000
31121200201120201202010210112
42303210311301033222000
53104141010321034130
642125024140450452
72412363131003603
oct263446561175200
947621521663715
1012340343143040
113a28567aa0630
121473783b49a28
136b68c66c5b63
143093c0ad233a
15166002298495
hexb3935c4fa80

12340343143040 has 128 divisors (see below), whose sum is σ = 32623919104320. Its totient is φ = 4425926123520.

The previous prime is 12340343143027. The next prime is 12340343143061. The reversal of 12340343143040 is 4034134304321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12340343142988 and 12340343143006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11492174 + ... + 12520013.

Almost surely, 212340343143040 is an apocalyptic number.

12340343143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12340343143040 is an abundant number, since it is smaller than the sum of its proper divisors (20283575961280).

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

12340343143040 is a wasteful number, since it uses less digits than its factorization.

12340343143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24012290 (or 24012278 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 12340343143040 its reverse (4034134304321), we get a palindrome (16374477447361).

The spelling of 12340343143040 in words is "twelve trillion, three hundred forty billion, three hundred forty-three million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 73 80 88 110 128 146 160 176 220 292 320 352 365 440 584 640 704 730 803 880 1168 1408 1460 1606 1760 2336 2920 3212 3520 4015 4672 5840 6424 7040 8030 9344 11680 12848 16060 23360 25696 32120 46720 51392 64240 102784 128480 256960 513920 24012187 48024374 96048748 120060935 192097496 240121870 264134057 384194992 480243740 528268114 768389984 960487480 1056536228 1320670285 1536779968 1752889651 1920974960 2113072456 2641340570 3073559936 3505779302 3841949920 4226144912 5282681140 7011558604 7683899840 8452289824 8764448255 10565362280 14023117208 15367799680 16904579648 17528896510 19281786161 21130724560 28046234416 33809159296 35057793020 38563572322 42261449120 56092468832 70115586040 77127144644 84522898240 96408930805 112184937664 140231172080 154254289288 169045796480 192817861610 224369875328 280462344160 308508578576 385635723220 560924688320 617017157152 771271446440 1121849376640 1234034314304 1542542892880 2468068628608 3085085785760 6170171571520 12340343143040