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4441133320 = 2351381110531
BaseRepresentation
bin1000010001011011…
…00101000100001000
3102110111202221121021
410020231211010020
533043412231240
62012404522224
7215025003361
oct41055450410
912414687537
104441133320
1119799a4218
12a3b3b0374
1355a135650
14301b84b68
151aed6154a
hex108b65108

4441133320 has 64 divisors (see below), whose sum is σ = 10775499840. Its totient is φ = 1637625600.

The previous prime is 4441133293. The next prime is 4441133327. The reversal of 4441133320 is 233311444.

It is not an unprimeable number, because it can be changed into a prime (4441133327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416455 + ... + 426985.

It is an arithmetic number, because the mean of its divisors is an integer number (168367185).

Almost surely, 24441133320 is an apocalyptic number.

4441133320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387749920).

4441133320 is an abundant number, since it is smaller than the sum of its proper divisors (6334366520).

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

4441133320 is a wasteful number, since it uses less digits than its factorization.

4441133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11366 (or 11362 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 4441133320 is about 66641.8286063640. The cubic root of 4441133320 is about 1643.7329846967.

Adding to 4441133320 its reverse (233311444), we get a palindrome (4674444764).

The spelling of 4441133320 in words is "four billion, four hundred forty-one million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 811 1622 3244 4055 6488 8110 10531 10543 16220 21062 21086 32440 42124 42172 52655 52715 84248 84344 105310 105430 136903 210620 210860 273806 421240 421720 547612 684515 1095224 1369030 2738060 5476120 8540641 17081282 34162564 42703205 68325128 85406410 111028333 170812820 222056666 341625640 444113332 555141665 888226664 1110283330 2220566660 4441133320