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444434142041 = 23106318178009
BaseRepresentation
bin1100111011110100101…
…01101101001101011001
31120111011101020122212022
412131322111231031121
524240200120021131
6540100434024225
744052330606431
oct6357225551531
91514141218768
10444434142041
11161535539a3a
1272174118075
1332baa248c96
14177216152c1
15b86281037b
hex677a56d359

444434142041 has 8 divisors (see below), whose sum is σ = 464193663360. Its totient is φ = 424710978912.

The previous prime is 444434142029. The next prime is 444434142067. The reversal of 444434142041 is 140241434444.

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 444434142041 - 226 = 444367033177 is a prime.

It is a super-2 number, since 2×4444341420412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444434141992 and 444434142010.

It is not an unprimeable number, because it can be changed into a prime (444434142241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9064556 + ... + 9113453.

It is an arithmetic number, because the mean of its divisors is an integer number (58024207920).

Almost surely, 2444434142041 is an apocalyptic number.

It is an amenable number.

444434142041 is a deficient number, since it is larger than the sum of its proper divisors (19759521319).

444434142041 is a wasteful number, since it uses less digits than its factorization.

444434142041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18179095.

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 444434142041 its reverse (140241434444), we get a palindrome (584675576485).

The spelling of 444434142041 in words is "four hundred forty-four billion, four hundred thirty-four million, one hundred forty-two thousand, forty-one".

Divisors: 1 23 1063 24449 18178009 418094207 19323223567 444434142041