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444424321433401 = 4572332934168501
BaseRepresentation
bin110010100001100111001100…
…1110011101111111100111001
32011021120112212002112000210221
41211003032121303233330321
5431222422002241332101
64213113414214140041
7162416411662462351
oct14503163163577471
92137515762460727
10444424321433401
11119675329370611
1241a184b2051621
13160ca05900c08a
147ba6375413b61
15365a76aa34aa1
hex1943399ceff39

444424321433401 has 8 divisors (see below), whose sum is σ = 445398819559304. Its totient is φ = 443449832112000.

The previous prime is 444424321433353. The next prime is 444424321433419. The reversal of 444424321433401 is 104334123424444.

It can be written as a sum of positive squares in 4 ways, for example, as 245664401479225 + 198759919954176 = 15673685^2 + 14098224^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 444424321433401 - 27 = 444424321433273 is a prime.

It is a super-3 number, since 3×4444243214334013 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444424321433461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104530651 + ... + 108699151.

It is an arithmetic number, because the mean of its divisors is an integer number (55674852444913).

Almost surely, 2444424321433401 is an apocalyptic number.

It is an amenable number.

444424321433401 is a deficient number, since it is larger than the sum of its proper divisors (974498125903).

444424321433401 is a wasteful number, since it uses less digits than its factorization.

444424321433401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402251.

The product of its (nonzero) digits is 1769472, while the sum is 43.

Adding to 444424321433401 its reverse (104334123424444), we get a palindrome (548758444857845).

The spelling of 444424321433401 in words is "four hundred forty-four trillion, four hundred twenty-four billion, three hundred twenty-one million, four hundred thirty-three thousand, four hundred one".

Divisors: 1 457 233293 4168501 106614901 1905004957 972482103793 444424321433401