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441162215485641 = 34131069391915313
BaseRepresentation
bin110010001001111000001010…
…1001001000111000011001001
32010212000200210022200000220000
41210103300111021013003021
5430311000204131020031
64202135042434353213
7161631626650435206
oct14423602511070311
92125020708600800
10441162215485641
11118627932625991
124159023942b809
1315c215593419c0
147ad2517dcccad
1536009957c93e6
hex1913c152470c9

441162215485641 has 40 divisors (see below), whose sum is σ = 710377859850120. Its totient is φ = 271230478483968.

The previous prime is 441162215485619. The next prime is 441162215485661. The reversal of 441162215485641 is 146584512261144.

It is a happy number.

441162215485641 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 6 + 2 + 2 + 1 + 548 + 56 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2824345775241 + 438337869710400 = 1680579^2 + 20936520^2 .

It is not a de Polignac number, because 441162215485641 - 218 = 441162215223497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (441162215485601) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194832000 + ... + 197083313.

It is an arithmetic number, because the mean of its divisors is an integer number (17759446496253).

Almost surely, 2441162215485641 is an apocalyptic number.

It is an amenable number.

441162215485641 is a deficient number, since it is larger than the sum of its proper divisors (269215644364479).

441162215485641 is a wasteful number, since it uses less digits than its factorization.

441162215485641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391916407 (or 391916398 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 441162215485641 in words is "four hundred forty-one trillion, one hundred sixty-two billion, two hundred fifteen million, four hundred eighty-five thousand, six hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 1069 3207 9621 13897 28863 41691 86589 125073 375219 1125657 391915313 1175745939 3527237817 5094899069 10581713451 15284697207 31745140353 45854091621 137562274863 412686824589 418957469597 1256872408791 3770617226373 5446447104761 11311851679119 16339341314283 33935555037357 49018023942849 147054071828547 441162215485641