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4141204020 = 22325101227789
BaseRepresentation
bin1111011011010101…
…1100001000110100
3101200121101221221200
43312311130020310
531440122012040
61522532212500
7204423440052
oct36665341064
911617357850
104141204020
111835668968
12976a6a130
1350cc60aa5
142b3dcd1d2
15193868630
hexf6d5c234

4141204020 has 72 divisors (see below), whose sum is σ = 12686080680. Its totient is φ = 1093382400.

The previous prime is 4141204019. The next prime is 4141204069. The reversal of 4141204020 is 204021414.

It can be written as a sum of positive squares in 4 ways, for example, as 2266140816 + 1875063204 = 47604^2 + 43302^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4141203984 and 4141204002.

It is a congruent number.

It is an unprimeable number.

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, 95715 + ... + 132074.

It is an arithmetic number, because the mean of its divisors is an integer number (176195565).

Almost surely, 24141204020 is an apocalyptic number.

It is an amenable number.

4141204020 is an abundant number, since it is smaller than the sum of its proper divisors (8544876660).

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

4141204020 is a wasteful number, since it uses less digits than its factorization.

4141204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227905 (or 227900 counting only the distinct ones).

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

The square root of 4141204020 is about 64352.1873754109. The cubic root of 4141204020 is about 1605.8644192101.

Adding to 4141204020 its reverse (204021414), we get a palindrome (4345225434).

The spelling of 4141204020 in words is "four billion, one hundred forty-one million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 227789 455578 683367 911156 1138945 1366734 2050101 2277890 2733468 3416835 4100202 4555780 6833670 8200404 10250505 13667340 20501010 23006689 41002020 46013378 69020067 92026756 115033445 138040134 207060201 230066890 276080268 345100335 414120402 460133780 690200670 828240804 1035301005 1380401340 2070602010 4141204020