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43043332041 = 3429175310453
BaseRepresentation
bin101000000101100101…
…010001111111001001
311010002202121211020000
4220011211101333021
51201123043111131
631435051553213
73052440166653
oct500545217711
9133082554200
1043043332041
1117288925496
12841315b809
13409c729158
1421248536d3
1511bdc89ce6
hexa05951fc9

43043332041 has 40 divisors (see below), whose sum is σ = 66560827080. Its totient is φ = 27687598848.

The previous prime is 43043331953. The next prime is 43043332061. The reversal of 43043332041 is 14023334034.

43043332041 is a `hidden beast` number, since 4 + 304 + 33 + 320 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7186122441 + 35857209600 = 84771^2 + 189360^2 .

It is not a de Polignac number, because 43043332041 - 27 = 43043331913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 43043331996 and 43043332014.

It is not an unprimeable number, because it can be changed into a prime (43043332061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4112571 + ... + 4123023.

It is an arithmetic number, because the mean of its divisors is an integer number (1664020677).

Almost surely, 243043332041 is an apocalyptic number.

It is an amenable number.

43043332041 is a deficient number, since it is larger than the sum of its proper divisors (23517495039).

43043332041 is a wasteful number, since it uses less digits than its factorization.

43043332041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12247 (or 12238 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 43043332041 its reverse (14023334034), we get a palindrome (57066666075).

The spelling of 43043332041 in words is "forty-three billion, forty-three million, three hundred thirty-two thousand, forty-one".

Divisors: 1 3 9 27 29 81 87 261 783 1753 2349 5259 10453 15777 31359 47331 50837 94077 141993 152511 282231 303137 457533 846693 909411 1372599 2728233 4117797 8184699 18324109 24554097 54972327 164916981 494750943 531399161 1484252829 1594197483 4782592449 14347777347 43043332041