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443142030032200 = 235243257200498611
BaseRepresentation
bin110010011000010010000101…
…1010010001111110101001000
32011010000222001000000121022101
41210300210023102033311020
5431040414334142012300
64210252345503203144
7162224645416425622
oct14460441322176510
92133028030017271
10443142030032200
1111922053029a844
124184ba892a64b4
1316036163968285
147b6028dabdc12
15363721b606b6a
hex193090b48fd48

443142030032200 has 96 divisors (see below), whose sum is σ = 1058368013192160. Its totient is φ = 172460884377600.

The previous prime is 443142030032173. The next prime is 443142030032209. The reversal of 443142030032200 is 2230030241344.

It is not an unprimeable number, because it can be changed into a prime (443142030032209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98039106 + ... + 102459505.

It is an arithmetic number, because the mean of its divisors is an integer number (11024666804085).

Almost surely, 2443142030032200 is an apocalyptic number.

443142030032200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

443142030032200 is an abundant number, since it is smaller than the sum of its proper divisors (615225983159960).

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

443142030032200 is a wasteful number, since it uses less digits than its factorization.

443142030032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200498927 (or 200498918 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 443142030032200 its reverse (2230030241344), we get a palindrome (445372060273544).

The spelling of 443142030032200 in words is "four hundred forty-three trillion, one hundred forty-two billion, thirty million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 257 344 430 514 860 1028 1075 1285 1720 2056 2150 2570 4300 5140 6425 8600 10280 11051 12850 22102 25700 44204 51400 55255 88408 110510 221020 276275 442040 552550 1105100 2210200 200498611 400997222 801994444 1002493055 1603988888 2004986110 4009972220 5012465275 8019944440 8621440273 10024930550 17242880546 20049861100 34485761092 40099722200 43107201365 51528143027 68971522184 86214402730 103056286054 172428805460 206112572108 215536006825 257640715135 344857610920 412225144216 431072013650 515281430270 862144027300 1030562860540 1288203575675 1724288054600 2061125721080 2215710150161 2576407151350 4431420300322 5152814302700 8862840600644 10305628605400 11078550750805 17725681201288 22157101501610 44314203003220 55392753754025 88628406006440 110785507508050 221571015016100 443142030032200