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443221444113 = 37192373075147
BaseRepresentation
bin1100111001100100000…
…11101000011000010001
31120101000212100020001020
412130302003220120101
524230204142202423
6535340233430053
744010304054110
oct6346203503021
91511025306036
10443221444113
11160a72a50048
1271a95b6b329
1332a45c29c46
141764853bc77
15b7e11174e3
hex67320e8611

443221444113 has 96 divisors (see below), whose sum is σ = 734594724864. Its totient is φ = 232648930944.

The previous prime is 443221444079. The next prime is 443221444139. The reversal of 443221444113 is 311444122344.

It is a happy number.

It is not a de Polignac number, because 443221444113 - 218 = 443221181969 is a prime.

It is a super-2 number, since 2×4432214441132 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (443221444013) 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, 86110006 + ... + 86115152.

It is an arithmetic number, because the mean of its divisors is an integer number (7652028384).

Almost surely, 2443221444113 is an apocalyptic number.

It is an amenable number.

443221444113 is a deficient number, since it is larger than the sum of its proper divisors (291373280751).

443221444113 is a wasteful number, since it uses less digits than its factorization.

443221444113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5520 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 443221444113 its reverse (311444122344), we get a palindrome (754665566457).

The spelling of 443221444113 in words is "four hundred forty-three billion, two hundred twenty-one million, four hundred forty-four thousand, one hundred thirteen".

Divisors: 1 3 7 19 21 37 57 111 133 259 307 361 399 703 777 921 1083 2109 2149 2527 4921 5147 5833 6447 7581 11359 13357 14763 15441 17499 34077 36029 40071 40831 79513 93499 97793 108087 110827 122493 190439 215821 238539 280497 293379 332481 571317 647463 684551 775789 1333073 1510747 1580129 1858067 2053653 2327367 3618341 3999219 4100599 4532241 4740387 5574201 10855023 11060903 12301797 13006469 25328387 28704193 30022451 33182709 39019407 58464773 68748479 75985161 86112579 90067353 175394319 206245437 210157157 409253411 481239353 570426569 630471471 1110830687 1227760233 1443718059 1711279707 3332492061 3992985983 7775814809 11978957949 21105783053 23327444427 63317349159 147740481371 443221444113