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4441041504 = 253275120533
BaseRepresentation
bin1000010001011010…
…01110101001100000
3102110111121021122200
410020231032221200
533043401312004
62012402533200
7215024141604
oct41055165140
912414537580
104441041504
111979941239
12a3b367200
1355a102913
14301b5d504
151aed44239
hex108b4ea60

4441041504 has 72 divisors (see below), whose sum is σ = 12646644192. Its totient is φ = 1478304000.

The previous prime is 4441041491. The next prime is 4441041511. The reversal of 4441041504 is 4051401444.

It is a tau number, because it is divible by the number of its divisors (72).

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, 206022 + ... + 226554.

It is an arithmetic number, because the mean of its divisors is an integer number (175647836).

Almost surely, 24441041504 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 4441041504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323322096).

4441041504 is an abundant number, since it is smaller than the sum of its proper divisors (8205602688).

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

4441041504 is a wasteful number, since it uses less digits than its factorization.

4441041504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21300 (or 21289 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4441041504 is about 66641.1397261481. The cubic root of 4441041504 is about 1643.7216571055.

Adding to 4441041504 its reverse (4051401444), we get a palindrome (8492442948).

The spelling of 4441041504 in words is "four billion, four hundred forty-one million, forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 751 1502 2253 3004 4506 6008 6759 9012 12016 13518 18024 20533 24032 27036 36048 41066 54072 61599 72096 82132 108144 123198 164264 184797 216288 246396 328528 369594 492792 657056 739188 985584 1478376 1971168 2956752 5913504 15420283 30840566 46260849 61681132 92521698 123362264 138782547 185043396 246724528 277565094 370086792 493449056 555130188 740173584 1110260376 1480347168 2220520752 4441041504