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4431023112321 = 34135643774561
BaseRepresentation
bin100000001111010110110…
…0011110000000010000001
3120200121020121201110120000
41000132231203300002001
51040044213404043241
613231330043110213
7635062612004541
oct100365543600201
916617217643500
104431023112321
111459206037473
125b6918812369
13261ac776bc70
14114669793321
157a3db226eb6
hex407ad8f0081

4431023112321 has 40 divisors (see below), whose sum is σ = 7128572484264. Its totient is φ = 2726698567680.

The previous prime is 4431023112319. The next prime is 4431023112391. The reversal of 4431023112321 is 1232113201344.

4431023112321 is a `hidden beast` number, since 4 + 4 + 310 + 2 + 311 + 2 + 32 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 852252080625 + 3578771031696 = 923175^2 + 1891764^2 .

It is not a de Polignac number, because 4431023112321 - 21 = 4431023112319 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 (4431023112391) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59390881 + ... + 59465441.

Almost surely, 24431023112321 is an apocalyptic number.

It is an amenable number.

4431023112321 is a deficient number, since it is larger than the sum of its proper divisors (2697549371943).

4431023112321 is a wasteful number, since it uses less digits than its factorization.

4431023112321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131023 (or 131014 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4431023112321 its reverse (1232113201344), we get a palindrome (5663136313665).

The spelling of 4431023112321 in words is "four trillion, four hundred thirty-one billion, twenty-three million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 56437 74561 169311 223683 507933 671049 733681 969293 1523799 2013147 2201043 2907879 4571397 6039441 6603129 8723637 19809387 26170911 59428161 78512733 4207999157 12623997471 37871992413 54703989041 113615977239 164111967123 340847931717 492335901369 1477007704107 4431023112321