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14431211332011 = 3323376110296263
BaseRepresentation
bin1101001000000000011100…
…1110011010000110101011
31220002121110221010021021000
43102000013032122012223
53342420110100111021
650405335034250043
73016422604243455
oct322000716320653
956077427107230
1014431211332011
114664273637751
121750a47586923
13808b1b8b8786
1437c68d8b92d5
151a05c7948b26
hexd200739a1ab

14431211332011 has 64 divisors (see below), whose sum is σ = 23287678064640. Its totient is φ = 8807010664320.

The previous prime is 14431211332009. The next prime is 14431211332019. The reversal of 14431211332011 is 11023311213441.

14431211332011 is a `hidden beast` number, since 1 + 4 + 4 + 312 + 1 + 1 + 332 + 0 + 11 = 666.

It is not a de Polignac number, because 14431211332011 - 21 = 14431211332009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14431211332019) 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 63 ways as a sum of consecutive naturals, for example, 3746535 + ... + 6549728.

It is an arithmetic number, because the mean of its divisors is an integer number (363869969760).

Almost surely, 214431211332011 is an apocalyptic number.

14431211332011 is a deficient number, since it is larger than the sum of its proper divisors (8856466732629).

14431211332011 is a wasteful number, since it uses less digits than its factorization.

14431211332011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10296393 (or 10296387 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 14431211332011 its reverse (11023311213441), we get a palindrome (25454522545452).

The spelling of 14431211332011 in words is "fourteen trillion, four hundred thirty-one billion, two hundred eleven million, three hundred thirty-two thousand, eleven".

Divisors: 1 3 9 23 27 37 61 69 111 183 207 333 549 621 851 999 1403 1647 2257 2553 4209 6771 7659 12627 20313 22977 37881 51911 60939 155733 467199 1401597 10296263 30888789 92666367 236814049 277999101 380961731 628072043 710442147 1142885193 1884216129 2131326441 3428655579 5652648387 6393979323 8762119813 10285966737 14445656989 16957945161 23238665591 26286359439 43336970967 69715996773 78859078317 130010912901 209147990319 236577234951 390032738703 534489308593 627443970957 1603467925779 4810403777337 14431211332011