Search a number
-
+
443434313412 = 223276116186097
BaseRepresentation
bin1100111001111101011…
…11101010011011000100
31120101120200220002211100
412130332233222123010
524231123141012122
6535413320140100
744015500321236
oct6347657523304
91511520802740
10443434313412
11161072122992
1271b35307630
1332a7b06bacc
1417668910256
15b804b64aac
hex673ebea6c4

443434313412 has 36 divisors (see below), whose sum is σ = 1122376407516. Its totient is φ = 147617195520.

The previous prime is 443434313407. The next prime is 443434313431. The reversal of 443434313412 is 214313434344.

443434313412 is a `hidden beast` number, since 443 + 43 + 43 + 134 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37073962116 + 406360351296 = 192546^2 + 637464^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4434343134122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 8065653 + ... + 8120444.

It is an arithmetic number, because the mean of its divisors is an integer number (31177122431).

Almost surely, 2443434313412 is an apocalyptic number.

It is an amenable number.

443434313412 is an abundant number, since it is smaller than the sum of its proper divisors (678942094104).

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

443434313412 is a wasteful number, since it uses less digits than its factorization.

443434313412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16186868 (or 16186863 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 443434313412 its reverse (214313434344), we get a palindrome (657747747756).

The spelling of 443434313412 in words is "four hundred forty-three billion, four hundred thirty-four million, three hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 761 1522 2283 3044 4566 6849 9132 13698 27396 16186097 32372194 48558291 64744388 97116582 145674873 194233164 291349746 582699492 12317619817 24635239634 36952859451 49270479268 73905718902 110858578353 147811437804 221717156706 443434313412