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14334100143341 = 1117831575882353
BaseRepresentation
bin1101000010010110101011…
…1100100111110011101101
31212202022211002021202011112
43100211222330213303231
53334322214114041331
650252554504401405
73006414235615436
oct320455274476355
955668732252145
1014334100143341
11462706a929330
121736065176265
137cc913730164
14377aba39a48d
1519cce213d32b
hexd096af27ced

14334100143341 has 32 divisors (see below), whose sum is σ = 16863250094208. Its totient is φ = 12039527485440.

The previous prime is 14334100143313. The next prime is 14334100143343.

14334100143341 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14334100143341 - 230 = 14333026401517 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14334100143298 and 14334100143307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14334100143343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504380 + ... + 5377973.

It is an arithmetic number, because the mean of its divisors is an integer number (526976565444).

Almost surely, 214334100143341 is an apocalyptic number.

14334100143341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14334100143341 is a deficient number, since it is larger than the sum of its proper divisors (2529149950867).

14334100143341 is a wasteful number, since it uses less digits than its factorization.

14334100143341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882621.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 14334100 and 143341, that multiplied together give a square (2054664228100 = 14334102).

The spelling of 14334100143341 in words is "fourteen trillion, three hundred thirty-four billion, one hundred million, one hundred forty-three thousand, three hundred forty-one".

Divisors: 1 11 17 83 157 187 913 1411 1727 2669 13031 15521 29359 143341 221527 2436797 5882353 64705883 100000001 488235299 923529421 1100000011 5370588289 8300000083 10158823631 15700000157 76652941943 91300000913 172700001727 843182361373 1303100013031 14334100143341