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442444413201 = 37172719745569
BaseRepresentation
bin1100111000000111011…
…11011111100100010001
31120022000201012222000120
412130003233133210101
524222111232210301
6535131155140453
743652120313630
oct6340357374421
91508021188016
10442444413201
1116070437823a
12718b98a4729
1332950c59a3b
14175b3271517
15b797ccae36
hex6703bdf911

442444413201 has 32 divisors (see below), whose sum is σ = 713901807360. Its totient is φ = 237939326976.

The previous prime is 442444413199. The next prime is 442444413221. The reversal of 442444413201 is 102314444244.

It is not a de Polignac number, because 442444413201 - 21 = 442444413199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442444413221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9686545 + ... + 9732113.

It is an arithmetic number, because the mean of its divisors is an integer number (22309431480).

Almost surely, 2442444413201 is an apocalyptic number.

It is an amenable number.

442444413201 is a deficient number, since it is larger than the sum of its proper divisors (271457394159).

442444413201 is a wasteful number, since it uses less digits than its factorization.

442444413201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72793.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 442444413201 its reverse (102314444244), we get a palindrome (544758857445).

The spelling of 442444413201 in words is "four hundred forty-two billion, four hundred forty-four million, four hundred thirteen thousand, two hundred one".

Divisors: 1 3 7 17 21 51 119 357 27197 45569 81591 136707 190379 318983 462349 571137 774673 956949 1387047 2324019 3236443 5422711 9709329 16268133 1239340093 3718020279 8675380651 21068781581 26026141953 63206344743 147481471067 442444413201