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4141022020 = 2252017102653
BaseRepresentation
bin1111011011010010…
…1111101101000100
3101200121001201021221
43312310233231010
531440100201040
61522524250124
7204422051332
oct36664575504
911617051257
104141022020
111835554153
129769a0944
1350cbc8cb5
142b3d82b52
1519382e74a
hexf6d2fb44

4141022020 has 24 divisors (see below), whose sum is σ = 8700542424. Its totient is φ = 1655571456.

The previous prime is 4141022003. The next prime is 4141022057. The reversal of 4141022020 is 202201414.

It can be written as a sum of positive squares in 4 ways, for example, as 1186664704 + 2954357316 = 34448^2 + 54354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4141021985 and 4141022003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10987 + ... + 91666.

It is an arithmetic number, because the mean of its divisors is an integer number (362522601).

Almost surely, 24141022020 is an apocalyptic number.

It is an amenable number.

4141022020 is an abundant number, since it is smaller than the sum of its proper divisors (4559520404).

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

4141022020 is a wasteful number, since it uses less digits than its factorization.

4141022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104679 (or 104677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4141022020 is about 64350.7732665273. The cubic root of 4141022020 is about 1605.8408937165.

Adding to 4141022020 its reverse (202201414), we get a palindrome (4343223434).

The spelling of 4141022020 in words is "four billion, one hundred forty-one million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 2017 4034 8068 10085 20170 40340 102653 205306 410612 513265 1026530 2053060 207051101 414102202 828204404 1035255505 2070511010 4141022020