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1130440041 = 321723321239
BaseRepresentation
bin100001101100001…
…0010010101101001
32220210010022012200
41003120102111221
54303343040131
6304101130413
740004403363
oct10330222551
92823108180
101130440041
11530116375
122766b9a09
1315027b043
14aa1c3d33
156939a2e6
hex43612569

1130440041 has 24 divisors (see below), whose sum is σ = 1804083840. Its totient is φ = 678454656.

The previous prime is 1130440027. The next prime is 1130440067. The reversal of 1130440041 is 1400440311.

It is not a de Polignac number, because 1130440041 - 26 = 1130439977 is a prime.

It is a super-3 number, since 3×11304400413 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130439996 and 1130440023.

It is not an unprimeable number, because it can be changed into a prime (1130447041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157101 + ... + 164138.

It is an arithmetic number, because the mean of its divisors is an integer number (75170160).

Almost surely, 21130440041 is an apocalyptic number.

It is an amenable number.

1130440041 is a deficient number, since it is larger than the sum of its proper divisors (673643799).

1130440041 is a wasteful number, since it uses less digits than its factorization.

1130440041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321285 (or 321282 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1130440041 is about 33622.0172059917. The cubic root of 1130440041 is about 1041.7156227388.

Adding to 1130440041 its reverse (1400440311), we get a palindrome (2530880352).

The spelling of 1130440041 in words is "one billion, one hundred thirty million, four hundred forty thousand, forty-one".

Divisors: 1 3 9 17 23 51 69 153 207 391 1173 3519 321239 963717 2891151 5461063 7388497 16383189 22165491 49149567 66496473 125604449 376813347 1130440041