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442142063543115 = 325131259600316441
BaseRepresentation
bin110010010001000000011100…
…0101000110100001101001011
32010222111100221121122201011100
41210202000320220310031023
5430423023421231334430
64204205132051032443
7162062465336500215
oct14442007050641513
92128440847581140
10442142063543115
1111897543a283121
124170a11659b723
1315c92a826037a0
147b27b0bcbb5b5
15361b1e2cae960
hex1922038a3434b

442142063543115 has 48 divisors (see below), whose sum is σ = 825987398876640. Its totient is φ = 217497047477760.

The previous prime is 442142063543093. The next prime is 442142063543149. The reversal of 442142063543115 is 511345360241244.

442142063543115 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 4 + 2 + 0 + 635 + 4 + 3 + 1 + 1 + 5 = 666.

It is not a de Polignac number, because 442142063543115 - 211 = 442142063541067 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299421706 + ... + 300894735.

It is an arithmetic number, because the mean of its divisors is an integer number (17208070809930).

Almost surely, 2442142063543115 is an apocalyptic number.

442142063543115 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

442142063543115 is a deficient number, since it is larger than the sum of its proper divisors (383845335333525).

442142063543115 is a wasteful number, since it uses less digits than its factorization.

442142063543115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600317724 (or 600317721 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 442142063543115 in words is "four hundred forty-two trillion, one hundred forty-two billion, sixty-three million, five hundred forty-three thousand, one hundred fifteen".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1259 3777 6295 11331 16367 18885 49101 56655 81835 147303 245505 736515 600316441 1800949323 3001582205 5402847969 7804113733 9004746615 23412341199 27014239845 39020568665 70237023597 117061705995 351185117985 755798399219 2267395197657 3778991996095 6802185592971 9825379189847 11336975988285 29476137569541 34010927964855 49126895949235 88428412708623 147380687847705 442142063543115