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4441221312 = 263112102851
BaseRepresentation
bin1000010001011011…
…11010100011000000
3102110111221102022020
410020231322203000
533043423040222
62012410441440
7215025521043
oct41055724300
912414842266
104441221312
111979a54340
12a3b433280
1355a166708
14301ba8c5a
151aed7c65c
hex108b7a8c0

4441221312 has 56 divisors (see below), whose sum is σ = 12818985792. Its totient is φ = 1345824000.

The previous prime is 4441221277. The next prime is 4441221313. The reversal of 4441221312 is 2131221444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4441221313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1049314 + ... + 1053537.

Almost surely, 24441221312 is an apocalyptic number.

It is an amenable number.

4441221312 is an abundant number, since it is smaller than the sum of its proper divisors (8377764480).

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

4441221312 is a wasteful number, since it uses less digits than its factorization.

4441221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102877 (or 2102867 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4441221312 is about 66642.4887890601. The cubic root of 4441221312 is about 1643.7438403640.

Adding to 4441221312 its reverse (2131221444), we get a palindrome (6572442756).

The spelling of 4441221312 in words is "four billion, four hundred forty-one million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2102851 4205702 6308553 8411404 12617106 16822808 23131361 25234212 33645616 46262722 50468424 67291232 69394083 92525444 100936848 134582464 138788166 185050888 201873696 277576332 370101776 403747392 555152664 740203552 1110305328 1480407104 2220610656 4441221312