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4424223240441 = 3237531132339521
BaseRepresentation
bin100000001100001100001…
…0000010011000011111001
3120122221200201120011221100
41000120120100103003321
51034441302122143231
613224243214202013
7634432243025304
oct100303020230371
916587621504840
104424223240441
111456336753044
125b553b4b3309
13261282a66734
141141c264db3b
157a13e2901e6
hex406184130f9

4424223240441 has 96 divisors (see below), whose sum is σ = 6775940669472. Its totient is φ = 2778433781760.

The previous prime is 4424223240427. The next prime is 4424223240443. The reversal of 4424223240441 is 1440423224244.

4424223240441 is a `hidden beast` number, since 4 + 4 + 24 + 223 + 2 + 404 + 4 + 1 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1270388223225 + 3153835017216 = 1127115^2 + 1775904^2 .

It is not a de Polignac number, because 4424223240441 - 231 = 4422075756793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4424223240396 and 4424223240405.

It is not an unprimeable number, because it can be changed into a prime (4424223240443) 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, 464675761 + ... + 464685281.

It is an arithmetic number, because the mean of its divisors is an integer number (70582715307).

Almost surely, 24424223240441 is an apocalyptic number.

It is an amenable number.

4424223240441 is a deficient number, since it is larger than the sum of its proper divisors (2351717429031).

4424223240441 is a wasteful number, since it uses less digits than its factorization.

4424223240441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9963 (or 9960 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4424223240441 its reverse (1440423224244), we get a palindrome (5864646464685).

It can be divided in two parts, 4424223 and 240441, that added together give a palindrome (4664664).

The spelling of 4424223240441 in words is "four trillion, four hundred twenty-four billion, two hundred twenty-three million, two hundred forty thousand, four hundred forty-one".

Divisors: 1 3 9 37 53 111 113 159 233 333 339 477 699 1017 1961 2097 4181 5883 5989 8621 9521 12349 12543 17649 17967 25863 26329 28563 37047 37629 53901 77589 78987 85689 111141 221593 236961 352277 456913 504613 664779 974173 1056831 1075873 1370739 1395437 1513839 1994337 2218393 2922519 3170493 3227619 4112217 4186311 4541517 6655179 8767557 9682857 12558933 18670681 19965537 39807301 51631169 56012043 57021269 82080541 117574829 119421903 154893507 168036129 171063807 246241623 250678409 352724487 358265709 464680521 513191421 738724869 752035227 1058173461 2109786953 2256105681 4350268673 6329360859 9275101133 13050806019 13285955677 18988082577 27825303399 39152418057 39857867031 83475910197 119573601093 491580360049 1474741080147 4424223240441