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442340306434575 = 32523593354711739
BaseRepresentation
bin110010010010011100110000…
…0110101011011101000001111
32011000012022122111122000212200
41210210321200311123220033
5430434300421421401300
64204440155332132543
7162113014103326623
oct14444714065335017
92130168574560780
10442340306434575
11118a4151a2156aa
1241740621767153
1315ca868689c563
147b3355688d183
153621446d4e200
hex1924e60d5ba0f

442340306434575 has 36 divisors (see below), whose sum is σ = 792302701059480. Its totient is φ = 235908260377920.

The previous prime is 442340306434573. The next prime is 442340306434603. The reversal of 442340306434575 is 575434603043244.

442340306434575 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 4 + 0 + 3 + 0 + 64 + 3 + 4 + 575 = 666.

It is not a de Polignac number, because 442340306434575 - 21 = 442340306434573 is a prime.

It is a super-3 number, since 3×4423403064345753 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442340306434573) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19270945 + ... + 35440794.

Almost surely, 2442340306434575 is an apocalyptic number.

442340306434575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

442340306434575 is a deficient number, since it is larger than the sum of its proper divisors (349962394624905).

442340306434575 is a wasteful number, since it uses less digits than its factorization.

442340306434575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54747688 (or 54747680 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 54.

The spelling of 442340306434575 in words is "four hundred forty-two trillion, three hundred forty billion, three hundred six million, four hundred thirty-four thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 225 35933 107799 179665 323397 538995 898325 1616985 2694975 8084925 54711739 164135217 273558695 492405651 820676085 1367793475 2462028255 4103380425 12310141275 1965956917487 5897870752461 9829784587435 17693612257383 29489353762305 49148922937175 88468061286915 147446768811525 442340306434575