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43441320546009 = 3231213125412
BaseRepresentation
bin10011110000010011110000…
…11110101100111011011001
312200210221122022122212211100
421320021320132230323121
521143220311024433014
6232220400034422013
712102350264045031
oct1170117036547331
9180727568585740
1043441320546009
11129293a6a31a21
124a57276431909
131b31664268009
14aa27dd2908c1
1550501d73e009
hex2782787aced9

43441320546009 has 81 divisors (see below), whose sum is σ = 65457735221151. Its totient is φ = 27761304636000.

The previous prime is 43441320545927. The next prime is 43441320546089. The reversal of 43441320546009 is 90064502314434.

The square root of 43441320546009 is 6591003.

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

43441320546009 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 1 + 32 + 0 + 5 + 4 + 600 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17259064286409 + 26182256259600 = 4154403^2 + 5116860^2 .

It is not a de Polignac number, because 43441320546009 - 27 = 43441320545881 is a prime.

It is a super-2 number, since 2×434413205460092 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (43441320546089) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 80298189279 + ... + 80298189819.

Almost surely, 243441320546009 is an apocalyptic number.

43441320546009 is the 6591003-rd square number.

43441320546009 is the 3295502-nd centered octagonal number.

It is an amenable number.

43441320546009 is a deficient number, since it is larger than the sum of its proper divisors (22016414675142).

43441320546009 is an frugal number, since it uses more digits than its factorization.

43441320546009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 43441320546009 in words is "forty-three trillion, four hundred forty-one billion, three hundred twenty million, five hundred forty-six thousand, nine".

Divisors: 1 3 9 31 93 131 279 393 541 961 1179 1623 2883 4061 4869 8649 12183 16771 17161 36549 50313 51483 70871 125891 150939 154449 212613 292681 377673 519901 531991 637839 878043 1133019 1559703 1595973 2197001 2634129 4679109 4787919 6591003 9073111 9284101 16491721 19773009 27219333 27852303 38341211 49475163 68107031 81657999 83556909 115023633 148425489 204321093 281266441 287807131 345070899 612963279 843799323 863421393 1188577541 2531397969 2590264179 3565732623 5022698641 8922021061 10697197869 15068095923 26766063183 36845903771 45204287769 80298189549 110537711313 155703657871 331613133939 467110973613 1401332920839 4826813394001 14480440182003 43441320546009