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4144204775824 = 24412124132
BaseRepresentation
bin111100010011100101110…
…110101000000110010000
3112200011220202102022202021
4330103211312220012100
51020344312410311244
612451453230501224
7605260154244061
oct74234566500620
915604822368667
104144204775824
111358602614053
1256b211964814
13240a48849159
1410481b188568
1572c00e01284
hex3c4e5da8190

4144204775824 has 45 divisors (see below), whose sum is σ = 8230675326979. Its totient is φ = 2021400446720.

The previous prime is 4144204775813. The next prime is 4144204775849. The reversal of 4144204775824 is 4285774024414.

The square root of 4144204775824 is 2035732.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2009192851600 + 2135011924224 = 1417460^2 + 1461168^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 333853842 + ... + 333866254.

Almost surely, 24144204775824 is an apocalyptic number.

4144204775824 is the 2035732-nd square number.

It is an amenable number.

4144204775824 is a deficient number, since it is larger than the sum of its proper divisors (4086470551155).

4144204775824 is an frugal number, since it uses more digits than its factorization.

4144204775824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24916 (or 12456 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 52.

The spelling of 4144204775824 in words is "four trillion, one hundred forty-four billion, two hundred four million, seven hundred seventy-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 41 82 164 328 656 1681 3362 6724 12413 13448 24826 26896 49652 99304 198608 508933 1017866 2035732 4071464 8142928 20866253 41732506 83465012 154082569 166930024 308165138 333860048 616330276 1232660552 2465321104 6317385329 12634770658 25269541316 50539082632 101078165264 259012798489 518025596978 1036051193956 2072102387912 4144204775824