Search a number
-
+
431212330011114 = 2322933371753138401
BaseRepresentation
bin110001000001011110111000…
…1110000001100100111101010
32002112210111101200202110002200
41202002331301300030213222
5423004440322440323424
64125040113141441030
7156554030344364061
oct14202756160144752
92075714350673080
10431212330011114
11115441138677673
1240443a08a10176
131567c1c08b4362
14786ab068c31d8
1534cbc502ee8c9
hex1882f71c0c9ea

431212330011114 has 96 divisors (see below), whose sum is σ = 940807114110864. Its totient is φ = 142739302809600.

The previous prime is 431212330011107. The next prime is 431212330011217. The reversal of 431212330011114 is 411110033212134.

431212330011114 is a `hidden beast` number, since 4 + 3 + 1 + 212 + 330 + 0 + 1 + 1 + 114 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 140660430201225 + 290551899809889 = 11860035^2 + 17045583^2 .

It is a super-2 number, since 2×4312123300111142 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3115604314 + ... + 3115742714.

Almost surely, 2431212330011114 is an apocalyptic number.

431212330011114 is an abundant number, since it is smaller than the sum of its proper divisors (509594784099750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431212330011114 is a wasteful number, since it uses less digits than its factorization.

431212330011114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140792 (or 140789 counting only the distinct ones).

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

Adding to 431212330011114 its reverse (411110033212134), we get a palindrome (842322363223248).

The spelling of 431212330011114 in words is "four hundred thirty-one trillion, two hundred twelve billion, three hundred thirty million, eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 293 337 586 674 879 1011 1753 1758 2022 2637 3033 3506 5259 5274 6066 10518 15777 31554 98741 138401 197482 276802 296223 415203 513629 590761 592446 830406 888669 1027258 1181522 1245609 1540887 1772283 1777338 2491218 3081774 3544566 4622661 5316849 9245322 10633698 40551493 46641137 81102986 93282274 121654479 139923411 173092973 242616953 243308958 279846822 346185946 364963437 419770233 485233906 519278919 727850859 729926874 839540466 1038557838 1455701718 1557836757 2183552577 3115673514 4367105154 13665853141 27331706282 40997559423 71086767229 81761913161 81995118846 122992678269 142173534458 163523826322 213260301687 245285739483 245985356538 426520603374 490571478966 639780905061 735857218449 1279561810122 1471714436898 23956240556173 47912481112346 71868721668519 143737443337038 215606165005557 431212330011114