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441383510689 = 112603972
BaseRepresentation
bin1100110110001001000…
…00011110001010100001
31120012021202221112100221
412123010200132022201
524212423134320224
6534434020243041
743613615636452
oct6330440361241
91505252845327
10441383510689
1116020a537500
1271662540481
1332812217b84
14175123cd129
15b734ab96e4
hex66c481e2a1

441383510689 has 9 divisors (see below), whose sum is σ = 485165114931. Its totient is φ = 401251093320.

The previous prime is 441383510599. The next prime is 441383510699. The reversal of 441383510689 is 986015383144.

The square root of 441383510689 is 664367.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 99284859025 + 342098651664 = 315095^2 + 584892^2 .

It is not a de Polignac number, because 441383510689 - 211 = 441383508641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441383510699) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7277839 + ... + 7338235.

Almost surely, 2441383510689 is an apocalyptic number.

441383510689 is the 664367-th square number.

441383510689 is the 332184-th centered octagonal number.

It is an amenable number.

441383510689 is a deficient number, since it is larger than the sum of its proper divisors (43781604242).

441383510689 is an frugal number, since it uses more digits than its factorization.

441383510689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120816 (or 60408 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 441383510689 in words is "four hundred forty-one billion, three hundred eighty-three million, five hundred ten thousand, six hundred eighty-nine".

Divisors: 1 11 121 60397 664367 7308037 3647797609 40125773699 441383510689