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441320302242 = 2323110717474231
BaseRepresentation
bin1100110110000001011…
…11010110011010100010
31120012010101000012200100
412123000233112122202
524212310444132432
6534423441403230
743612220450331
oct6330057263242
91505111005610
10441320302242
11160187895016
1271645339516
13328020b6721
1417507c57d18
15b72e28107c
hex66c0bd66a2

441320302242 has 96 divisors (see below), whose sum is σ = 997069492224. Its totient is φ = 140916866400.

The previous prime is 441320302237. The next prime is 441320302279. The reversal of 441320302242 is 242203023144.

441320302242 is a `hidden beast` number, since 4 + 413 + 2 + 0 + 3 + 0 + 2 + 242 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104304267 + ... + 104308497.

It is an arithmetic number, because the mean of its divisors is an integer number (10386140544).

Almost surely, 2441320302242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441320302242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498534746112).

441320302242 is an abundant number, since it is smaller than the sum of its proper divisors (555749189982).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441320302242 is a wasteful number, since it uses less digits than its factorization.

441320302242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6121 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 441320302242 its reverse (242203023144), we get a palindrome (683523325386).

The spelling of 441320302242 in words is "four hundred forty-one billion, three hundred twenty million, three hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 107 186 214 279 321 558 642 963 1747 1926 3317 3494 4231 5241 6634 8462 9951 10482 12693 15723 19902 25386 29853 31446 38079 54157 59706 76158 108314 131161 162471 186929 262322 324942 373858 393483 452717 487413 560787 786966 905434 974826 1121574 1180449 1358151 1682361 2360898 2716302 3364722 4074453 5794799 7391557 8148906 11589598 14034227 14783114 17384397 22174671 28068454 34768794 42102681 44349342 52153191 66524013 84205362 104306382 126308043 133048026 229138267 252616086 458276534 687414801 790896599 1374829602 1581793198 2062244403 2372689797 4124488806 4745379594 7118069391 14236138782 24517794569 49035589138 73553383707 147106767414 220660151121 441320302242