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3382200442441 = 85316692375713
BaseRepresentation
bin110001001101111010110…
…110110001111001001001
3102222100001100211102202101
4301031322312301321021
5420403221303124231
611105432245233401
7466233036262222
oct61157266617111
912870040742671
103382200442441
111094423a81027
124675b0102861
131b6c2b61b462
14b99b1128249
155cea3679661
hex3137adb1e49

3382200442441 has 8 divisors (see below), whose sum is σ = 3388195792520. Its totient is φ = 3376209848832.

The previous prime is 3382200442433. The next prime is 3382200442459. The reversal of 3382200442441 is 1442440022833.

It can be written as a sum of positive squares in 4 ways, for example, as 25166649600 + 3357033792841 = 158640^2 + 1832221^2 .

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 3382200442441 - 23 = 3382200442433 is a prime.

It is a super-2 number, since 2×33822004424412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3382200442441.

It is not an unprimeable number, because it can be changed into a prime (3382200442141) 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, 235801 + ... + 2611513.

It is an arithmetic number, because the mean of its divisors is an integer number (423524474065).

Almost surely, 23382200442441 is an apocalyptic number.

It is an amenable number.

3382200442441 is a deficient number, since it is larger than the sum of its proper divisors (5995350079).

3382200442441 is a wasteful number, since it uses less digits than its factorization.

3382200442441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378235.

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 3382200442441 in words is "three trillion, three hundred eighty-two billion, two hundred million, four hundred forty-two thousand, four hundred forty-one".

Divisors: 1 853 1669 1423657 2375713 2026483189 3965064997 3382200442441