Search a number
-
+
4418185409 = 112296120641
BaseRepresentation
bin1000001110101100…
…00010100011000001
3102101220121001222122
410013112002203001
533022023413114
62010225014025
7214325646011
oct40726024301
912356531878
104418185409
111967a50100
12a33784315
1355545c4c1
142dcacdc41
151acd2be8e
hex1075828c1

4418185409 has 24 divisors (see below), whose sum is σ = 5106417960. Its totient is φ = 3814272000.

The previous prime is 4418185397. The next prime is 4418185439. The reversal of 4418185409 is 9045818144.

It can be written as a sum of positive squares in 4 ways, for example, as 33097009 + 4385088400 = 5753^2 + 66220^2 .

It is not a de Polignac number, because 4418185409 - 28 = 4418185153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4418185409.

It is not an unprimeable number, because it can be changed into a prime (4418185439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203729 + ... + 224369.

It is an arithmetic number, because the mean of its divisors is an integer number (212767415).

Almost surely, 24418185409 is an apocalyptic number.

It is an amenable number.

4418185409 is a deficient number, since it is larger than the sum of its proper divisors (688232551).

4418185409 is a wasteful number, since it uses less digits than its factorization.

4418185409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20753 (or 20742 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 4418185409 is about 66469.4321398942. The cubic root of 4418185409 is about 1640.8969673174.

The spelling of 4418185409 in words is "four billion, four hundred eighteen million, one hundred eighty-five thousand, four hundred nine".

Divisors: 1 11 29 61 121 319 671 1769 3509 7381 19459 20641 214049 227051 598589 1259101 2497561 6584479 13850111 36513929 72429269 152351221 401653219 4418185409