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443423113344 = 2734117136523
BaseRepresentation
bin1100111001111100001…
…00111100000010000000
31120101112220211002020000
412130332010330002000
524231112304111334
6535412240120000
744015303163051
oct6347604740200
91511486732200
10443423113344
11161066873132
1271b31606000
1332a78949c53
1417667236728
15b803ba1299
hex673e13c080

443423113344 has 160 divisors (see below), whose sum is σ = 1320783079440. Its totient is φ = 147677437440.

The previous prime is 443423113339. The next prime is 443423113417. The reversal of 443423113344 is 443311324344.

443423113344 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 2 + 311 + 334 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 443423113299 and 443423113308.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12122667 + ... + 12159189.

Almost surely, 2443423113344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443423113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660391539720).

443423113344 is an abundant number, since it is smaller than the sum of its proper divisors (877359966096).

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

443423113344 is a wasteful number, since it uses less digits than its factorization.

443423113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37720 (or 37699 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 443423113344 its reverse (443311324344), we get a palindrome (886734437688).

The spelling of 443423113344 in words is "four hundred forty-three billion, four hundred twenty-three million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1171 1296 1728 2342 2592 3456 3513 4684 5184 7026 9368 10368 10539 14052 18736 21078 28104 31617 36523 37472 42156 56208 63234 73046 74944 84312 94851 109569 112416 126468 146092 149888 168624 189702 219138 224832 252936 292184 328707 337248 379404 438276 449664 505872 584368 657414 674496 758808 876552 986121 1011744 1168736 1314828 1348992 1517616 1753104 1972242 2023488 2337472 2629656 2958363 3035232 3506208 3944484 4046976 4674944 5259312 5916726 6070464 7012416 7888968 10518624 11833452 12140928 14024832 15777936 21037248 23666904 31555872 42074496 42768433 47333808 63111744 85536866 94667616 126223488 128305299 171073732 189335232 256610598 342147464 378670464 384915897 513221196 684294928 769831794 1026442392 1154747691 1368589856 1539663588 2052884784 2309495382 2737179712 3079327176 3464243073 4105769568 4618990764 5474359424 6158654352 6928486146 8211539136 9237981528 12317308704 13856972292 16423078272 18475963056 24634617408 27713944584 36951926112 49269234816 55427889168 73903852224 110855778336 147807704448 221711556672 443423113344