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14366233266341 = 1123163866340213
BaseRepresentation
bin1101000100001110011000…
…1110110000100010100101
31212212101202111102112012012
43101003212032300202211
53340334021204010331
650315431221004005
73011632436634665
oct321034616604245
955771674375165
1014366233266341
11463975a174230
121740332553605
13802964a0c6c8
14379487c341a5
1519da7317382b
hexd10e63b08a5

14366233266341 has 32 divisors (see below), whose sum is σ = 16456294582272. Its totient is φ = 12413994500160.

The previous prime is 14366233266313. The next prime is 14366233266353.

14366233266341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14366233266341 - 242 = 9968186755237 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14366233266341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14366233266311) 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 31 ways as a sum of consecutive naturals, for example, 357233351 + ... + 357273563.

It is an arithmetic number, because the mean of its divisors is an integer number (514259205696).

Almost surely, 214366233266341 is an apocalyptic number.

14366233266341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14366233266341 is a deficient number, since it is larger than the sum of its proper divisors (2090061315931).

14366233266341 is a wasteful number, since it uses less digits than its factorization.

14366233266341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49073.

The product of its digits is 6718464, while the sum is 50.

The spelling of 14366233266341 in words is "fourteen trillion, three hundred sixty-six billion, two hundred thirty-three million, two hundred sixty-six thousand, three hundred forty-one".

Divisors: 1 11 23 163 253 1793 3749 8663 40213 41239 95293 199249 442343 924899 1412069 2191739 6554719 10173889 15532759 32477587 72101909 150758537 348365219 357253457 1658343907 3832017409 8012400037 56783530697 88136400407 624618837667 1306021206031 14366233266341