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14340122104341 = 3112172314409473
BaseRepresentation
bin1101000010101101000111…
…1000100101001000010101
31212202220100202200001200010
43100223101320211020111
53334422032224314331
650255432224110433
73010016410501155
oct320532170451025
955686322601603
1014340122104341
114629680099800
121737265a65419
13800363217aa7
143780cc084765
1519d045b62e46
hexd0ad1e25215

14340122104341 has 72 divisors (see below), whose sum is σ = 23045533810432. Its totient is φ = 7915884134400.

The previous prime is 14340122104309. The next prime is 14340122104349.

It is a happy number.

14340122104341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14340122104341 - 25 = 14340122104309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14340122104299 and 14340122104308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14340122104349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1047381 + ... + 5456853.

Almost surely, 214340122104341 is an apocalyptic number.

14340122104341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14340122104341 is a deficient number, since it is larger than the sum of its proper divisors (8705411706091).

14340122104341 is a wasteful number, since it uses less digits than its factorization.

14340122104341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409563 (or 4409535 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 1434012 and 2104341, that added together give a palindrome (3538353).

The spelling of 14340122104341 in words is "fourteen trillion, three hundred forty billion, one hundred twenty-two million, one hundred four thousand, three hundred forty-one".

Divisors: 1 3 11 17 31 33 51 93 121 187 289 341 363 527 561 867 1023 1581 2057 3179 3751 5797 6171 8959 9537 11253 17391 26877 34969 63767 98549 104907 191301 295647 1084039 3252117 4409473 13228419 48504203 74961041 136693663 145512609 224883123 410080989 533546233 824571451 1274337697 1503630293 1600638699 2323792271 2473714353 3823013091 4510890879 6971376813 9070285961 14017714667 16539933223 25561714981 27210857883 39504468607 42053144001 49619799669 76685144943 118513405821 154194861337 281178864791 434549154677 462584584011 843536594373 1303647464031 4780040701447 14340122104341