Search a number
-
+
443220040431 = 3471959369379
BaseRepresentation
bin1100111001100011111…
…10010001101011101111
31120101000202200220120000
412130301332101223233
524230203312243211
6535340143355343
744010256116540
oct6346176215357
91511022626500
10443220040431
11160a72181483
1271a955b2b53
1332a4585806c
14176482944c7
15b7e0e3b656
hex6731f91aef

443220040431 has 80 divisors (see below), whose sum is σ = 797858899200. Its totient is φ = 239530597632.

The previous prime is 443220040391. The next prime is 443220040453. The reversal of 443220040431 is 134040022344.

It is a happy number.

443220040431 is a `hidden beast` number, since 4 + 4 + 3 + 220 + 0 + 4 + 0 + 431 = 666.

It is not a de Polignac number, because 443220040431 - 214 = 443220024047 is a prime.

It is a super-2 number, since 2×4432200404312 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 443220040395 and 443220040404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443220040631) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6353700 + ... + 6423078.

It is an arithmetic number, because the mean of its divisors is an integer number (9973236240).

Almost surely, 2443220040431 is an apocalyptic number.

443220040431 is a deficient number, since it is larger than the sum of its proper divisors (354638858769).

443220040431 is a wasteful number, since it uses less digits than its factorization.

443220040431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70010 (or 70001 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 443220040431 its reverse (134040022344), we get a palindrome (577260062775).

The spelling of 443220040431 in words is "four hundred forty-three billion, two hundred twenty million, forty thousand, four hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 593 1197 1539 1779 3591 4151 5337 10773 11267 12453 16011 33801 37359 48033 69379 78869 101403 112077 208137 236607 304209 336231 485653 624411 709821 912627 1318201 1456959 1873233 2129463 3954603 4370877 5619699 6388389 9227407 11863809 13112631 27682221 35591427 39337893 41141747 83046663 106774281 123425241 249139989 287992229 370275723 747419967 781693193 863976687 1110827169 2345079579 2591930061 3332481507 5471852351 7035238737 7775790183 16415557053 21105716211 23327370549 49246671159 63317148633 147740013477 443220040431