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4200344141 = 7285721309
BaseRepresentation
bin1111101001011100…
…0010101001001101
3101211201200120221112
43322113002221031
532100242003031
61532443541405
7206042223200
oct37227025115
911751616845
104200344141
111865a917a4
1299282a865
1351c299546
142bbbc5937
15198b4b62b
hexfa5c2a4d

4200344141 has 6 divisors (see below), whose sum is σ = 4886114670. Its totient is φ = 3600294936.

The previous prime is 4200344129. The next prime is 4200344147. The reversal of 4200344141 is 1414430024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2269093225 + 1931250916 = 47635^2 + 43946^2 .

It is not a de Polignac number, because 4200344141 - 214 = 4200327757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200344147) 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 5 ways as a sum of consecutive naturals, for example, 42860606 + ... + 42860703.

It is an arithmetic number, because the mean of its divisors is an integer number (814352445).

Almost surely, 24200344141 is an apocalyptic number.

It is an amenable number.

4200344141 is a deficient number, since it is larger than the sum of its proper divisors (685770529).

4200344141 is an equidigital number, since it uses as much as digits as its factorization.

4200344141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85721323 (or 85721316 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4200344141 is about 64810.0620351501. The cubic root of 4200344141 is about 1613.4727120391.

Adding to 4200344141 its reverse (1414430024), we get a palindrome (5614774165).

The spelling of 4200344141 in words is "four billion, two hundred million, three hundred forty-four thousand, one hundred forty-one".

Divisors: 1 7 49 85721309 600049163 4200344141