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443242110144 = 26373101313109
BaseRepresentation
bin1100111001100110100…
…10011101110011000000
31120101002022020011111210
412130303102131303000
524230224440011034
6535342252410120
744010644525661
oct6346322356300
91511068204453
10443242110144
11160a83685809
1271aa0a76940
1332a4a2b4572
141764b19b368
15b7e2d4a8e9
hex673349dcc0

443242110144 has 112 divisors (see below), whose sum is σ = 1200583974240. Its totient is φ = 144280166400.

The previous prime is 443242110133. The next prime is 443242110191. The reversal of 443242110144 is 441011242344.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259062 + ... + 1572170.

It is an arithmetic number, because the mean of its divisors is an integer number (10719499770).

Almost surely, 2443242110144 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 443242110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600291987120).

443242110144 is an abundant number, since it is smaller than the sum of its proper divisors (757341864096).

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

443242110144 is a wasteful number, since it uses less digits than its factorization.

443242110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313298 (or 313288 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 443242110144 its reverse (441011242344), we get a palindrome (884253352488).

The spelling of 443242110144 in words is "four hundred forty-three billion, two hundred forty-two million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 101 146 192 202 219 292 303 404 438 584 606 808 876 1168 1212 1616 1752 2336 2424 3232 3504 4672 4848 6464 7008 7373 9696 14016 14746 19392 22119 29492 44238 58984 88476 117968 176952 235936 313109 353904 471872 626218 707808 939327 1252436 1415616 1878654 2504872 3757308 5009744 7514616 10019488 15029232 20038976 22856957 30058464 31624009 45713914 60116928 63248018 68570871 91427828 94872027 126496036 137141742 182855656 189744054 252992072 274283484 365711312 379488108 505984144 548566968 731422624 758976216 1011968288 1097133936 1462845248 1517952432 2023936576 2194267872 2308552657 3035904864 4388535744 4617105314 6071809728 6925657971 9234210628 13851315942 18468421256 27702631884 36936842512 55405263768 73873685024 110810527536 147747370048 221621055072 443242110144