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443442212444 = 227117131165203
BaseRepresentation
bin1100111001111110011…
…01110010111001011100
31120101121020202102021002
412130333031302321130
524231132201244234
6535414201325432
744015624420420
oct6347715627134
91511536672232
10443442212444
11161076628610
1271b37a96878
1332a7c8a62aa
14176699a8b80
15b8056c527e
hex673f372e5c

443442212444 has 96 divisors (see below), whose sum is σ = 984307064832. Its totient is φ = 169786008000.

The previous prime is 443442212431. The next prime is 443442212449. The reversal of 443442212444 is 444212244344.

It is a junction number, because it is equal to n+sod(n) for n = 443442212398 and 443442212407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443442212449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6768347 + ... + 6833549.

It is an arithmetic number, because the mean of its divisors is an integer number (10253198592).

Almost surely, 2443442212444 is an apocalyptic number.

443442212444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443442212444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492153532416).

443442212444 is an abundant number, since it is smaller than the sum of its proper divisors (540864852388).

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

443442212444 is a wasteful number, since it uses less digits than its factorization.

443442212444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65607 (or 65605 counting only the distinct ones).

The product of its digits is 393216, while the sum is 38.

Adding to 443442212444 its reverse (444212244344), we get a palindrome (887654456788).

The spelling of 443442212444 in words is "four hundred forty-three billion, four hundred forty-two million, two hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 71 77 142 154 284 308 311 497 622 781 994 1244 1562 1988 2177 3124 3421 4354 5467 6842 8708 10934 13684 21868 22081 23947 44162 47894 65203 88324 95788 130406 154567 242891 260812 309134 456421 485782 618268 717233 912842 971564 1434466 1700237 1825684 2868932 3400474 4629413 5020631 6800948 9258826 10041262 18517652 20082524 20278133 32405891 40556266 50923543 64811782 81112532 101847086 129623564 141946931 203694172 223059463 283893862 356464801 446118926 567787724 712929602 892237852 1425859204 1439747443 1561416241 2879494886 3122832482 5758989772 6245664964 10078232101 15837221873 20156464202 31674443746 40312928404 63348887492 110860553111 221721106222 443442212444