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4447117444 = 2271182917417
BaseRepresentation
bin1000010010001000…
…11010000010000100
3102110221000222021111
410021010122002010
533101430224234
62013141054404
7215126605660
oct41104320204
912427028244
104447117444
111982311180
12a413b7404
1355b44c353
143028a18a0
151b0644664
hex10911a084

4447117444 has 48 divisors (see below), whose sum is σ = 9715063680. Its totient is φ = 1730453760.

The previous prime is 4447117421. The next prime is 4447117457.

4447117444 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 4447117397 and 4447117406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246624 + ... + 264040.

It is an arithmetic number, because the mean of its divisors is an integer number (202397160).

Almost surely, 24447117444 is an apocalyptic number.

4447117444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4447117444 is an abundant number, since it is smaller than the sum of its proper divisors (5267946236).

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

4447117444 is a wasteful number, since it uses less digits than its factorization.

4447117444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18268 (or 18266 counting only the distinct ones).

The product of its digits is 200704, while the sum is 40.

The square root of 4447117444 is about 66686.7111499735. The cubic root of 4447117444 is about 1644.4709260196.

The spelling of 4447117444 in words is "four billion, four hundred forty-seven million, one hundred seventeen thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 829 1658 3316 5803 9119 11606 17417 18238 23212 34834 36476 63833 69668 121919 127666 191587 243838 255332 383174 487676 766348 1341109 2682218 5364436 14438693 28877386 57754772 101070851 158825623 202141702 317651246 404283404 635302492 1111779361 2223558722 4447117444