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4041404001 = 3231101143419
BaseRepresentation
bin1111000011100010…
…1110111001100001
3101102122121121001200
43300320232321201
531234044412001
61505005151413
7202102236645
oct36070567141
911378547050
104041404001
1117942a3708
1294955b569
134c538a31b
142a4a50c25
15189c03086
hexf0e2ee61

4041404001 has 24 divisors (see below), whose sum is σ = 6085597440. Its totient is φ = 2581524000.

The previous prime is 4041403997. The next prime is 4041404047. The reversal of 4041404001 is 1004041404.

It is not a de Polignac number, because 4041404001 - 22 = 4041403997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4041404401) 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 23 ways as a sum of consecutive naturals, for example, 43531 + ... + 99888.

It is an arithmetic number, because the mean of its divisors is an integer number (253566560).

Almost surely, 24041404001 is an apocalyptic number.

It is an amenable number.

4041404001 is a deficient number, since it is larger than the sum of its proper divisors (2044193439).

4041404001 is a wasteful number, since it uses less digits than its factorization.

4041404001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143557 (or 143554 counting only the distinct ones).

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

The square root of 4041404001 is about 63572.0378861650. The cubic root of 4041404001 is about 1592.8593250983.

Adding to 4041404001 its reverse (1004041404), we get a palindrome (5045445405).

The spelling of 4041404001 in words is "four billion, forty-one million, four hundred four thousand, one".

Divisors: 1 3 9 31 93 101 279 303 909 3131 9393 28179 143419 430257 1290771 4445989 13337967 14485319 40013901 43455957 130367871 449044889 1347134667 4041404001