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444405543342714 = 2321753120971164253
BaseRepresentation
bin110010100001011110011101…
…0100011000001001001111010
32011021111202101102020012000200
41211002330322203001021322
5431222120023043431324
64213101031014343030
7162415145435364312
oct14502747243011172
92137452342205020
10444405543342714
111196683726520a8
1241a1493135aa76
13160c835582a105
147ba54b3522442
15365a01c1d0ec9
hex1942f3a8c127a

444405543342714 has 48 divisors (see below), whose sum is σ = 963508421482152. Its totient is φ = 148038311522304.

The previous prime is 444405543342667. The next prime is 444405543342721. The reversal of 444405543342714 is 417243345504444.

444405543342714 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 0 + 554 + 33 + 42 + 7 + 14 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76336829039025 + 368068714303689 = 8737095^2 + 19185117^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381126612 + ... + 382290864.

Almost surely, 2444405543342714 is an apocalyptic number.

444405543342714 is an abundant number, since it is smaller than the sum of its proper divisors (519102878139438).

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

444405543342714 is a wasteful number, since it uses less digits than its factorization.

444405543342714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178111 (or 1178108 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 54.

The spelling of 444405543342714 in words is "four hundred forty-four trillion, four hundred five billion, five hundred forty-three million, three hundred forty-two thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 1753 3506 5259 10518 12097 15777 24194 31554 36291 72582 108873 217746 1164253 2328506 3492759 6985518 10478277 20956554 21206041 42412082 63618123 127236246 190854369 381708738 2040935509 4081871018 6122806527 12245613054 14083968541 18368419581 28167937082 36736839162 42251905623 84503811246 126755716869 253511433738 24689196852373 49378393704746 74067590557119 148135181114238 222202771671357 444405543342714