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4040311122 = 232224461729
BaseRepresentation
bin1111000011010010…
…0100000101010010
3101102120120001220200
43300310210011102
531233304423442
61504525520030
7202060035501
oct36064440522
911376501820
104040311122
111793717601
12949113016
134c5096a53
142a4848838
15189a8934c
hexf0d24152

4040311122 has 12 divisors (see below), whose sum is σ = 8754007470. Its totient is φ = 1346770368.

The previous prime is 4040311111. The next prime is 4040311133. The reversal of 4040311122 is 2211130404.

It is an interprime number because it is at equal distance from previous prime (4040311111) and next prime (4040311133).

It can be written as a sum of positive squares in only one way, i.e., 3751685001 + 288626121 = 61251^2 + 16989^2 .

It is a super-2 number, since 2×40403111222 = 32648227925113797768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 224461729 = 4040311122 / (4 + 0 + 4 + 0 + 3 + 1 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 4040311095 and 4040311104.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 112230847 + ... + 112230882.

Almost surely, 24040311122 is an apocalyptic number.

4040311122 is an abundant number, since it is smaller than the sum of its proper divisors (4713696348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4040311122 is a wasteful number, since it uses less digits than its factorization.

4040311122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224461737 (or 224461734 counting only the distinct ones).

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

The square root of 4040311122 is about 63563.4417098382. The cubic root of 4040311122 is about 1592.7157314820.

Adding to 4040311122 its reverse (2211130404), we get a palindrome (6251441526).

The spelling of 4040311122 in words is "four billion, forty million, three hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 224461729 448923458 673385187 1346770374 2020155561 4040311122