Search a number
-
+
443114320131 = 327174336831399
BaseRepresentation
bin1100111001010111010…
…10111111000100000011
31120100202101202202120100
412130223222333010003
524224444231221011
6535321445413443
744004533401230
oct6345352770403
91510671682510
10443114320131
11160a1853322a
1271a6610a283
1332a29990982
1417638214787
15b7d6a06d56
hex672babf103

443114320131 has 96 divisors (see below), whose sum is σ = 778000204800. Its totient is φ = 237245386752.

The previous prime is 443114320109. The next prime is 443114320139. The reversal of 443114320131 is 131023411344.

443114320131 is a `hidden beast` number, since 443 + 1 + 14 + 3 + 201 + 3 + 1 = 666.

It is not a de Polignac number, because 443114320131 - 27 = 443114320003 is a prime.

It is a super-2 number, since 2×4431143201312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 443114320095 and 443114320104.

It is not an unprimeable number, because it can be changed into a prime (443114320139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316735770 + ... + 316737168.

It is an arithmetic number, because the mean of its divisors is an integer number (8104168800).

Almost surely, 2443114320131 is an apocalyptic number.

443114320131 is a deficient number, since it is larger than the sum of its proper divisors (334885884669).

443114320131 is a wasteful number, since it uses less digits than its factorization.

443114320131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2542 counting only the distinct ones).

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

Adding to 443114320131 its reverse (131023411344), we get a palindrome (574137731475).

The spelling of 443114320131 in words is "four hundred forty-three billion, one hundred fourteen million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 433 683 1071 1299 1399 2049 3031 3897 4197 4781 6147 7361 9093 9793 11611 12591 14343 22083 23783 27279 29379 34833 43029 51527 66249 71349 81277 88137 104499 154581 166481 214047 243831 295739 463743 499443 605767 731493 887217 955517 1498329 1817301 2070173 2661651 2866551 4240369 5027563 5451903 6210519 6688619 8599653 10298039 12721107 15082689 16243789 18631557 20065857 30894117 35192941 38163321 45248067 48731367 60197571 72086273 92682351 105578823 113706523 146194101 216258819 316736469 341119569 413738861 648776457 1023358707 1241216583 2896172027 3723649749 7033560637 8688516081 21100681911 26065548243 49234924459 63302045733 147704773377 443114320131