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443423324344 = 2371113101548243
BaseRepresentation
bin1100111001111100001…
…01101111100010111000
31120101112221012210122211
412130332011233202320
524231112332334334
6535412244424504
744015305032160
oct6347605574270
91511487183584
10443423324344
111610669a7710
1271b316a8134
1332a789c1cc0
141766728d5a0
15b803be3a64
hex673e16f8b8

443423324344 has 128 divisors (see below), whose sum is σ = 1127365102080. Its totient is φ = 157893696000.

The previous prime is 443423324339. The next prime is 443423324411.

443423324344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 443423324297 and 443423324306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534687 + ... + 1082929.

It is an arithmetic number, because the mean of its divisors is an integer number (8807539860).

Almost surely, 2443423324344 is an apocalyptic number.

443423324344 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 443423324344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563682551040).

443423324344 is an abundant number, since it is smaller than the sum of its proper divisors (683941777736).

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

443423324344 is a wasteful number, since it uses less digits than its factorization.

443423324344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548381 (or 548377 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 40.

It can be divided in two parts, 443423 and 324344, that added together give a palindrome (767767).

The spelling of 443423324344 in words is "four hundred forty-three billion, four hundred twenty-three million, three hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 101 104 143 154 182 202 286 308 364 404 572 616 707 728 808 1001 1111 1144 1313 1414 2002 2222 2626 2828 4004 4444 5252 5656 7777 8008 8888 9191 10504 14443 15554 18382 28886 31108 36764 57772 62216 73528 101101 115544 202202 404404 548243 808808 1096486 2192972 3837701 4385944 6030673 7127159 7675402 12061346 14254318 15350804 24122692 28508636 30701608 42214711 48245384 49890113 55372543 57017272 78398749 84429422 99780226 110745086 156797498 168858844 199560452 221490172 313594996 337717688 387607801 399120904 442980344 548791243 609097973 627189992 719843059 775215602 1097582486 1218195946 1439686118 1550431204 2195164972 2436391892 2879372236 3100862408 4263685811 4390329944 4872783784 5038901413 5758744472 7918273649 8527371622 10077802826 15836547298 17054743244 20155605652 31673094596 34109486488 40311211304 55427915543 63346189192 110855831086 221711662172 443423324344