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443324224040 = 23510321044689
BaseRepresentation
bin1100111001110000010…
…11101101001000101000
31120101022000201222121012
412130320023231020220
524230412000132130
6535354344403052
744012662505045
oct6347013551050
91511260658535
10443324224040
11161015a70135
1271b04476488
1332a61304b79
14176580541cc
15b7ea16a995
hex67382ed228

443324224040 has 48 divisors (see below), whose sum is σ = 1007258757300. Its totient is φ = 175607874048.

The previous prime is 443324224019. The next prime is 443324224103. The reversal of 443324224040 is 40422423344.

It can be written as a sum of positive squares in 2 ways, for example, as 442456450276 + 867773764 = 665174^2 + 29458^2 .

It is a super-2 number, since 2×4433242240402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 443324223988 and 443324224006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97985 + ... + 946704.

Almost surely, 2443324224040 is an apocalyptic number.

443324224040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

443324224040 is an abundant number, since it is smaller than the sum of its proper divisors (563934533260).

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

443324224040 is a wasteful number, since it uses less digits than its factorization.

443324224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044906 (or 1044799 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 443324224040 its reverse (40422423344), we get a palindrome (483746647384).

The spelling of 443324224040 in words is "four hundred forty-three billion, three hundred twenty-four million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 4120 10609 21218 42436 53045 84872 106090 212180 424360 1044689 2089378 4178756 5223445 8357512 10446890 20893780 41787560 107602967 215205934 430411868 538014835 860823736 1076029670 2152059340 4304118680 11083105601 22166211202 44332422404 55415528005 88664844808 110831056010 221662112020 443324224040