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444232232444 = 2271121310086101
BaseRepresentation
bin1100111011011100100…
…11011110110111111100
31120110122022022120222002
412131232103132313330
524234241422414234
6540024422241432
744044326446630
oct6355623366774
91513568276862
10444232232444
11161441572300
1272118586278
1332b77473750
1417702896dc0
15b84ec2a27e
hex676e4dedfc

444232232444 has 72 divisors (see below), whose sum is σ = 1051698027744. Its totient is φ = 159763824000.

The previous prime is 444232232441. The next prime is 444232232473.

It is a happy number.

444232232444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444232232398 and 444232232407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444232232441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4999007 + ... + 5087094.

It is an arithmetic number, because the mean of its divisors is an integer number (14606917052).

Almost surely, 2444232232444 is an apocalyptic number.

444232232444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444232232444 is an abundant number, since it is smaller than the sum of its proper divisors (607465795300).

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

444232232444 is a wasteful number, since it uses less digits than its factorization.

444232232444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10086147 (or 10086134 counting only the distinct ones).

The product of its digits is 589824, while the sum is 38.

It can be divided in two parts, 444232 and 232444, that added together give a palindrome (676676).

The spelling of 444232232444 in words is "four hundred forty-four billion, two hundred thirty-two million, two hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1573 1694 2002 3146 3388 4004 6292 11011 22022 44044 10086101 20172202 40344404 70602707 110947111 131119313 141205414 221894222 262238626 282410828 443788444 524477252 776629777 917835191 1220418221 1442312443 1553259554 1835670382 2440836442 2884624886 3106519108 3671340764 4881672884 5769249772 8542927547 10096187101 15865436873 17085855094 20192374202 31730873746 34171710188 40384748404 63461747492 111058058111 222116116222 444232232444