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44423598000609 = 3478729412
BaseRepresentation
bin10100001100111001011001…
…10001110100100111100001
312211021212001220222201110000
422012130230301310213201
521310314012042004414
6234251530313330213
712233333112461352
oct1206345461644741
9184255056881400
1044423598000609
1113177a3aa50183
124b95711106969
131ba31869391a9
14ad8183a91d29
1552085e155b09
hex28672cc749e1

44423598000609 has 45 divisors (see below), whose sum is σ = 66516292837731. Its totient is φ = 29546668203120.

The previous prime is 44423598000577. The next prime is 44423598000631. The reversal of 44423598000609 is 90600089532444.

The square root of 44423598000609 is 6665103.

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

44423598000609 is a `hidden beast` number, since 4 + 4 + 4 + 23 + 5 + 9 + 8 + 0 + 0 + 0 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27546783741009 + 16876814259600 = 5248503^2 + 4108140^2 .

It is not a de Polignac number, because 44423598000609 - 25 = 44423598000577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44423598000679) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 47208924079 + ... + 47208925019.

Almost surely, 244423598000609 is an apocalyptic number.

44423598000609 is the 6665103-rd square number.

44423598000609 is the 3332552-nd centered octagonal number.

It is an amenable number.

44423598000609 is a deficient number, since it is larger than the sum of its proper divisors (22092694837122).

44423598000609 is an frugal number, since it uses more digits than its factorization.

44423598000609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 44423598000609 in words is "forty-four trillion, four hundred twenty-three billion, five hundred ninety-eight million, six hundred nine", and thus it is an aban number.

Divisors: 1 3 9 27 81 787 941 2361 2823 7083 8469 21249 25407 63747 76221 619369 740567 885481 1858107 2221701 2656443 5574321 6665103 7969329 16722963 19995309 23907987 50168889 59985927 71723961 582826229 696873547 1748478687 2090620641 5245436061 6271861923 15736308183 18815585769 47208924549 56446757307 548439481489 1645318444467 4935955333401 14807866000203 44423598000609