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4004421041 = 149260910301
BaseRepresentation
bin1110111010101110…
…1001110110110001
3101100002000122222102
43232223221312301
531200112433131
61501204350145
7201143005625
oct35653516661
911302018872
104004421041
111775433885
129390a5355
134ba80bb0a
1429db85185
1518684a1cb
hexeeae9db1

4004421041 has 8 divisors (see below), whose sum is σ = 4033233000. Its totient is φ = 3975635200.

The previous prime is 4004421017. The next prime is 4004421097. The reversal of 4004421041 is 1401244004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 786241600 + 3218179441 = 28040^2 + 56729^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4004421041 - 26 = 4004420977 is a prime.

It is a super-3 number, since 3×40044210413 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004421011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383591 + ... + 393891.

It is an arithmetic number, because the mean of its divisors is an integer number (504154125).

Almost surely, 24004421041 is an apocalyptic number.

It is an amenable number.

4004421041 is a deficient number, since it is larger than the sum of its proper divisors (28811959).

4004421041 is a wasteful number, since it uses less digits than its factorization.

4004421041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13059.

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4004421041 is about 63280.4949490757. The cubic root of 4004421041 is about 1587.9856670650.

Adding to 4004421041 its reverse (1401244004), we get a palindrome (5405665045).

The spelling of 4004421041 in words is "four billion, four million, four hundred twenty-one thousand, forty-one".

Divisors: 1 149 2609 10301 388741 1534849 26875309 4004421041