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32444144017 = 731492982821
BaseRepresentation
bin11110001101110100…
…100101100110010001
310002202002101021122121
4132031310211212101
51012421200102032
622523222334241
72225665450105
oct361564454621
9102662337577
1032444144017
111283996766a
12635558a381
1330a086886c
1417dacb9905
15c9d4bea97
hex78dd25991

32444144017 has 8 divisors (see below), whose sum is σ = 33109324200. Its totient is φ = 31784929920.

The previous prime is 32444143933. The next prime is 32444144087. The reversal of 32444144017 is 71044144423.

It can be written as a sum of positive squares in 4 ways, for example, as 1191561361 + 31252582656 = 34519^2 + 176784^2 .

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 32444144017 - 219 = 32443619729 is a prime.

It is a super-3 number, since 3×324441440173 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32444144087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1480534 + ... + 1502287.

It is an arithmetic number, because the mean of its divisors is an integer number (4138665525).

Almost surely, 232444144017 is an apocalyptic number.

It is an amenable number.

32444144017 is a deficient number, since it is larger than the sum of its proper divisors (665180183).

32444144017 is a wasteful number, since it uses less digits than its factorization.

32444144017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983043.

The product of its (nonzero) digits is 43008, while the sum is 34.

The spelling of 32444144017 in words is "thirty-two billion, four hundred forty-four million, one hundred forty-four thousand, seventeen".

Divisors: 1 73 149 10877 2982821 217745933 444440329 32444144017