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442442420241 = 32318135426569
BaseRepresentation
bin1100111000000111001…
…11111001000000010001
31120022000120110201012020
412130003213321000101
524222110224421431
6535131044322053
743652064343353
oct6340347710021
91508016421166
10442442420241
11160703236968
12718b90a3329
133295070c883
14175b2cb30d3
15b797a35696
hex67039f9011

442442420241 has 16 divisors (see below), whose sum is σ = 618973031040. Its totient is φ = 280578418560.

The previous prime is 442442420239. The next prime is 442442420279. The reversal of 442442420241 is 142024244244.

It is not a de Polignac number, because 442442420241 - 21 = 442442420239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442442420741) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17700796 + ... + 17725773.

It is an arithmetic number, because the mean of its divisors is an integer number (38685814440).

Almost surely, 2442442420241 is an apocalyptic number.

It is an amenable number.

442442420241 is a deficient number, since it is larger than the sum of its proper divisors (176530610799).

442442420241 is a wasteful number, since it uses less digits than its factorization.

442442420241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35426776.

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 442442420241 its reverse (142024244244), we get a palindrome (584466664485).

The spelling of 442442420241 in words is "four hundred forty-two billion, four hundred forty-two million, four hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 23 69 181 543 4163 12489 35426569 106279707 814811087 2444433261 6412208989 19236626967 147480806747 442442420241