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4414304004001 = 71151411743681
BaseRepresentation
bin100000000111100100100…
…0001011010011110100001
3120122000002102202202120221
41000033021001122132201
51034310443311112001
613215523034403041
7633631365636523
oct100171101323641
916560072682527
104414304004001
111452106590981
125b3631590481
13260361a16068
14113921111a13
1579c5d5371a1
hex403c905a7a1

4414304004001 has 8 divisors (see below), whose sum is σ = 4506122855808. Its totient is φ = 4323308640000.

The previous prime is 4414304003971. The next prime is 4414304004007. The reversal of 4414304004001 is 1004004034144.

It is a happy number.

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 4414304004001 - 211 = 4414304001953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4414304004007) 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 7 ways as a sum of consecutive naturals, for example, 205861120 + ... + 205882561.

It is an arithmetic number, because the mean of its divisors is an integer number (563265356976).

Almost surely, 24414304004001 is an apocalyptic number.

It is an amenable number.

4414304004001 is a deficient number, since it is larger than the sum of its proper divisors (91818851807).

4414304004001 is a wasteful number, since it uses less digits than its factorization.

4414304004001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411743903.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4414304004001 its reverse (1004004034144), we get a palindrome (5418308038145).

The spelling of 4414304004001 in words is "four trillion, four hundred fourteen billion, three hundred four million, four thousand, one".

Divisors: 1 71 151 10721 411743681 29233801351 62173295831 4414304004001