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4441643312 = 241726531471
BaseRepresentation
bin1000010001011111…
…00001100100110000
3102110112201212011212
410020233201210300
533044030041222
62012423455252
7215032226261
oct41057414460
912415655155
104441643312
11197a2123a7
12a3b5b7528
1355a283812
14301c78968
151aee126e2
hex108be1930

4441643312 has 60 divisors (see below), whose sum is σ = 9161901696. Its totient is φ = 2085565440.

The previous prime is 4441643299. The next prime is 4441643383. The reversal of 4441643312 is 2133461444.

It is a super-2 number, since 2×44416433122 = 39456390622068658688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3018737 + ... + 3020207.

Almost surely, 24441643312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441643312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580950848).

4441643312 is an abundant number, since it is smaller than the sum of its proper divisors (4720258384).

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

4441643312 is a wasteful number, since it uses less digits than its factorization.

4441643312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2143 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 4441643312 is about 66645.6548621139. The cubic root of 4441643312 is about 1643.7959009635.

The spelling of 4441643312 in words is "four billion, four hundred forty-one million, six hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 653 1156 1306 1471 2312 2612 2942 4624 5224 5884 10448 11101 11768 22202 23536 25007 44404 50014 88808 100028 177616 188717 200056 377434 400112 425119 754868 850238 960563 1509736 1700476 1921126 3019472 3400952 3842252 6801904 7684504 15369008 16329571 32659142 65318284 130636568 261273136 277602707 555205414 1110410828 2220821656 4441643312