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4001110009 = 13417506773
BaseRepresentation
bin1110111001111100…
…0001011111111001
3101022211210110002121
43232133001133321
531143241010014
61501005401241
7201102605521
oct35637013771
911284713077
104001110009
111773582196
12937b69221
134b9c1ca20
1429d562681
151863e4124
hexee7c17f9

4001110009 has 8 divisors (see below), whose sum is σ = 4413983112. Its totient is φ = 3603250560.

The previous prime is 4001109971. The next prime is 4001110013. The reversal of 4001110009 is 9000111004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 448592400 + 3552517609 = 21180^2 + 59603^2 .

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

It is not a de Polignac number, because 4001110009 - 223 = 3992721401 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4001109974 and 4001110001.

It is not an unprimeable number, because it can be changed into a prime (4001117009) 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, 3752854 + ... + 3753919.

It is an arithmetic number, because the mean of its divisors is an integer number (551747889).

Almost surely, 24001110009 is an apocalyptic number.

It is an amenable number.

4001110009 is a deficient number, since it is larger than the sum of its proper divisors (412873103).

4001110009 is a wasteful number, since it uses less digits than its factorization.

4001110009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7506827.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 4001110009 is about 63254.3279863125. The cubic root of 4001110009 is about 1587.5478741757.

The spelling of 4001110009 in words is "four billion, one million, one hundred ten thousand, nine".

Divisors: 1 13 41 533 7506773 97588049 307777693 4001110009