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4200430041 = 34534572141
BaseRepresentation
bin1111101001011101…
…0111100111011001
3101211201211221210000
43322113113213121
532100302230131
61532445443213
7206043031503
oct37227274731
911751757700
104200430041
111866040295
12992870509
1351c2c9682
142bbc08d73
15198b66ce6
hexfa5d79d9

4200430041 has 40 divisors (see below), whose sum is σ = 6410089224. Its totient is φ = 2740158720.

The previous prime is 4200430037. The next prime is 4200430043. The reversal of 4200430041 is 1400340024.

It can be written as a sum of positive squares in 4 ways, for example, as 2958924816 + 1241505225 = 54396^2 + 35235^2 .

It is not a de Polignac number, because 4200430041 - 22 = 4200430037 is a prime.

It is a super-2 number, since 2×42004300412 = 35287225058670523362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4200429996 and 4200430023.

It is not an unprimeable number, because it can be changed into a prime (4200430043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1960831 + ... + 1962971.

Almost surely, 24200430041 is an apocalyptic number.

It is an amenable number.

4200430041 is a deficient number, since it is larger than the sum of its proper divisors (2209659183).

4200430041 is a wasteful number, since it uses less digits than its factorization.

4200430041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4200430041 is about 64810.7247375000. The cubic root of 4200430041 is about 1613.4837108490.

Adding to 4200430041 its reverse (1400340024), we get a palindrome (5600770065).

The spelling of 4200430041 in words is "four billion, two hundred million, four hundred thirty thousand, forty-one".

Divisors: 1 3 9 27 53 81 159 457 477 1371 1431 2141 4113 4293 6423 12339 19269 24221 37017 57807 72663 113473 173421 217989 340419 653967 978437 1021257 1961901 2935311 3063771 8805933 9191313 26417799 51857161 79253397 155571483 466714449 1400143347 4200430041