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4144404144 = 243823104911
BaseRepresentation
bin1111011100000110…
…1001011010110000
3101200211102112200210
43313001221122300
531441431413034
61523124544120
7204462565626
oct36701513260
911624375623
104144404144
1118374541a1
12977b52040
1351081155a
142b45c3516
15193c9b8e9
hexf70696b0

4144404144 has 40 divisors (see below), whose sum is σ = 10719488512. Its totient is φ = 1379776320.

The previous prime is 4144404137. The next prime is 4144404161. The reversal of 4144404144 is 4414044414.

4144404144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12952 + ... + 91959.

Almost surely, 24144404144 is an apocalyptic number.

It is an amenable number.

4144404144 is an abundant number, since it is smaller than the sum of its proper divisors (6575084368).

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

4144404144 is a wasteful number, since it uses less digits than its factorization.

4144404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105745 (or 105739 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The square root of 4144404144 is about 64377.0467169782. The cubic root of 4144404144 is about 1606.2779577282.

Adding to 4144404144 its reverse (4414044414), we get a palindrome (8558448558).

The spelling of 4144404144 in words is "four billion, one hundred forty-four million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 823 1646 2469 3292 4938 6584 9876 13168 19752 39504 104911 209822 314733 419644 629466 839288 1258932 1678576 2517864 5035728 86341753 172683506 259025259 345367012 518050518 690734024 1036101036 1381468048 2072202072 4144404144