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4104220041 = 322957727253
BaseRepresentation
bin1111010010100001…
…0110110110001001
3101121000210222110200
43310220112312021
531401140020131
61515131402413
7203464203045
oct36450266611
911530728420
104104220041
1118167a8299
129665b3409
135053b1c8c
142ad123025
151904b02e6
hexf4a16d89

4104220041 has 24 divisors (see below), whose sum is σ = 6143596680. Its totient is φ = 2637121536.

The previous prime is 4104220031. The next prime is 4104220051. The reversal of 4104220041 is 1400224014.

4104220041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4104220031) and next prime (4104220051).

It can be written as a sum of positive squares in 4 ways, for example, as 1962844416 + 2141375625 = 44304^2 + 46275^2 .

It is not a de Polignac number, because 4104220041 - 213 = 4104211849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4104219996 and 4104220023.

It is not an unprimeable number, because it can be changed into a prime (4104220031) 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, 136971 + ... + 164223.

It is an arithmetic number, because the mean of its divisors is an integer number (255983195).

Almost surely, 24104220041 is an apocalyptic number.

It is an amenable number.

4104220041 is a deficient number, since it is larger than the sum of its proper divisors (2039376639).

4104220041 is a wasteful number, since it uses less digits than its factorization.

4104220041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27865 (or 27862 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4104220041 is about 64064.1868831565. The cubic root of 4104220041 is about 1601.0696026481.

Adding to 4104220041 its reverse (1400224014), we get a palindrome (5504444055).

The spelling of 4104220041 in words is "four billion, one hundred four million, two hundred twenty thousand, forty-one".

Divisors: 1 3 9 29 87 261 577 1731 5193 16733 27253 50199 81759 150597 245277 790337 2371011 7113033 15724981 47174943 141524829 456024449 1368073347 4104220041