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21181309444 = 2253213732
BaseRepresentation
bin10011101110100000…
…010010001000000100
32000200011101000011101
4103232200102020010
5321334403400234
613421444545444
71346615105521
oct235640221004
960604330141
1021181309444
118a8a32a319
1241316b2284
131cc73569c9
14104d14c148
1583e813814
hex4ee812204

21181309444 has 27 divisors (see below), whose sum is σ = 37807406623. Its totient is φ = 10383263072.

The previous prime is 21181309433. The next prime is 21181309489. The reversal of 21181309444 is 44490318112.

The square root of 21181309444 is 145538.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13124451844 + 8056857600 = 114562^2 + 89760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15426342 + ... + 15427714.

Almost surely, 221181309444 is an apocalyptic number.

21181309444 is the 145538-th square number.

It is an amenable number.

21181309444 is a deficient number, since it is larger than the sum of its proper divisors (16626097179).

21181309444 is an frugal number, since it uses more digits than its factorization.

21181309444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

It can be divided in two parts, 21181 and 309444, that added together give a square (330625 = 5752).

The spelling of 21181309444 in words is "twenty-one billion, one hundred eighty-one million, three hundred nine thousand, four hundred forty-four".

Divisors: 1 2 4 53 106 212 1373 2746 2809 5492 5618 11236 72769 145538 291076 1885129 3770258 3856757 7540516 7713514 15427028 99911837 199823674 399647348 5295327361 10590654722 21181309444