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442240100500545 = 32515737624487373
BaseRepresentation
bin110010010001101110000110…
…0000110001000010001000001
32010222211201222222111011020200
41210203130030012020101001
5430431130211212004140
64204322144131155413
7162102535646050434
oct14443341406102101
92128751888434220
10442240100500545
11118a02a78614296
1241725116a45b69
1315c9c0a7508879
147b2c76c34381b
15361da2e9d7030
hex192370c188441

442240100500545 has 24 divisors (see below), whose sum is σ = 766598218776936. Its totient is φ = 235846398859008.

The previous prime is 442240100500507. The next prime is 442240100500589. The reversal of 442240100500545 is 545005001042244.

442240100500545 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 4 + 0 + 100 + 5 + 0 + 0 + 545 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86365722275856 + 355874378224689 = 9293316^2 + 18864633^2 .

It is not a de Polignac number, because 442240100500545 - 26 = 442240100500481 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311535522 + ... + 312951851.

It is an arithmetic number, because the mean of its divisors is an integer number (31941592449039).

Almost surely, 2442240100500545 is an apocalyptic number.

442240100500545 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442240100500545 is a deficient number, since it is larger than the sum of its proper divisors (324358118276391).

442240100500545 is a wasteful number, since it uses less digits than its factorization.

442240100500545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624503121 (or 624503118 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 442240100500545 its reverse (545005001042244), we get a palindrome (987245101542789).

The spelling of 442240100500545 in words is "four hundred forty-two trillion, two hundred forty billion, one hundred million, five hundred thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 45 15737 47211 78685 141633 236055 708165 624487373 1873462119 3122436865 5620386357 9367310595 28101931785 9827557788901 29482673366703 49137788944505 88448020100109 147413366833515 442240100500545