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14223314334411 = 3371317344998731
BaseRepresentation
bin1100111011111001111110…
…0110010011001011001011
31212100201212020020112121000
43032332133212103023023
53331013321432200121
650130033404150043
72665412663025030
oct316763746231313
955321766215530
1014223314334411
11459408a160356
1217186a7238323
137c23394ab770
143725aaaa3387
15199eab073526
hexcef9f9932cb

14223314334411 has 128 divisors (see below), whose sum is σ = 27468032256000. Its totient is φ = 7058970685440.

The previous prime is 14223314334401. The next prime is 14223314334419. The reversal of 14223314334411 is 11443341332241.

14223314334411 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 3 + 314 + 334 + 4 + 1 + 1 = 666.

It is not a de Polignac number, because 14223314334411 - 222 = 14223310140107 is a prime.

It is a super-2 number, since 2×142233143344112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14223314334419) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144011916 + ... + 144110646.

It is an arithmetic number, because the mean of its divisors is an integer number (214594002000).

Almost surely, 214223314334411 is an apocalyptic number.

14223314334411 is a deficient number, since it is larger than the sum of its proper divisors (13244717921589).

14223314334411 is a wasteful number, since it uses less digits than its factorization.

14223314334411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102226 (or 102220 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 14223314334411 its reverse (11443341332241), we get a palindrome (25666655666652).

The spelling of 14223314334411 in words is "fourteen trillion, two hundred twenty-three billion, three hundred fourteen million, three hundred thirty-four thousand, four hundred eleven".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 91 117 119 153 189 221 273 351 357 459 663 819 1071 1547 1989 2457 3213 3449 4641 5967 10347 13923 24143 31041 41769 44837 58633 72429 93123 98731 134511 175899 217287 296193 313859 403533 410431 527697 651861 691117 762229 888579 941577 1210599 1231293 1283503 1583091 1678427 2073351 2286687 2665737 2824731 3693879 3850509 5035281 5335603 6220053 6860061 8474193 8984521 11081637 11551527 11748989 15105843 16006809 18660159 20580183 21819551 26953563 34654581 35246967 45317529 48020427 65458653 80860689 105740901 144061281 152736857 196375959 242582067 317222703 340523219 458210571 589127877 1021569657 1374631713 2383662533 3064708971 4123895139 4426801847 5788894723 7150987599 9194126913 13280405541 17366684169 21452962797 30987612929 39841216623 40522263061 52100052507 64358888391 75255631399 92962838787 119523649869 121566789183 156300157521 225766894197 278888516361 364700367549 526789419793 677300682591 836665549083 1094101102647 1580368259379 2031902047773 4741104778137 14223314334411