Search a number
-
+
4041214020 = 22325101222289
BaseRepresentation
bin1111000011100000…
…0000100001000100
3101102122020221110100
43300320000201010
531234022322040
61505001124100
7202100516034
oct36070004104
911378227410
104041214020
1117941839a8
12949489630
134c53219cc
142a4a018c4
15189bb6b30
hexf0e00844

4041214020 has 72 divisors (see below), whose sum is σ = 12379774680. Its totient is φ = 1066982400.

The previous prime is 4041213989. The next prime is 4041214031. The reversal of 4041214020 is 204121404.

It can be written as a sum of positive squares in 4 ways, for example, as 1004763204 + 3036450816 = 31698^2 + 55104^2 .

It is a super-3 number, since 3×40412140203 (a number of 30 digits) contains 333 as substring.

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 = 4041213984 and 4041214002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92965 + ... + 129324.

It is an arithmetic number, because the mean of its divisors is an integer number (171941315).

Almost surely, 24041214020 is an apocalyptic number.

It is an amenable number.

4041214020 is an abundant number, since it is smaller than the sum of its proper divisors (8338560660).

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

4041214020 is a wasteful number, since it uses less digits than its factorization.

4041214020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222405 (or 222400 counting only the distinct ones).

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

The square root of 4041214020 is about 63570.5436503417. The cubic root of 4041214020 is about 1592.8343653113.

Adding to 4041214020 its reverse (204121404), we get a palindrome (4245335424).

The spelling of 4041214020 in words is "four billion, forty-one million, two hundred fourteen 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 222289 444578 666867 889156 1111445 1333734 2000601 2222890 2667468 3334335 4001202 4445780 6668670 8002404 10003005 13337340 20006010 22451189 40012020 44902378 67353567 89804756 112255945 134707134 202060701 224511890 269414268 336767835 404121402 449023780 673535670 808242804 1010303505 1347071340 2020607010 4041214020