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442244053350331 = 1314497518727849
BaseRepresentation
bin110010010001101111111011…
…1101101000011011110111011
32010222212010012110110201202121
41210203133313231003132323
5430431211310124202311
64204324040254342111
7162103035624526021
oct14443376755033673
92128763173421677
10442244053350331
11118a047169238a1
1241725a3a7ba937
1315c9c58742c03b
147b2ca25302711
15361dbb1a46b71
hex19237f7b437bb

442244053350331 has 8 divisors (see below), whose sum is σ = 446612434290000. Its totient is φ = 437890709867520.

The previous prime is 442244053350301. The next prime is 442244053350343. The reversal of 442244053350331 is 133053350442244.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442244053350331 is a prime.

It is a super-3 number, since 3×4422440533503313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442244053350301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3759305106 + ... + 3759422743.

It is an arithmetic number, because the mean of its divisors is an integer number (55826554286250).

Almost surely, 2442244053350331 is an apocalyptic number.

442244053350331 is a deficient number, since it is larger than the sum of its proper divisors (4368380939669).

442244053350331 is a wasteful number, since it uses less digits than its factorization.

442244053350331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518728429.

The product of its (nonzero) digits is 2073600, while the sum is 43.

The spelling of 442244053350331 in words is "four hundred forty-two trillion, two hundred forty-four billion, fifty-three million, three hundred fifty thousand, three hundred thirty-one".

Divisors: 1 131 449 58819 7518727849 984953348219 3375908804201 442244053350331