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442350000753 = 319311311910989
BaseRepresentation
bin1100110111111100001…
…11010101101001110001
31120021210010120022111020
412123332013111221301
524221413100011003
6535113543410053
743646562652653
oct6337607255161
91507703508436
10442350000753
11160666052821
1271892153929
133293752159b
14175a48d66d3
15b78e87bd53
hex66fe1d5a71

442350000753 has 32 divisors (see below), whose sum is σ = 645761740800. Its totient is φ = 268302715200.

The previous prime is 442350000749. The next prime is 442350000817. The reversal of 442350000753 is 357000053244.

It is not a de Polignac number, because 442350000753 - 22 = 442350000749 is a prime.

It is a super-3 number, since 3×4423500007533 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (442350004753) 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 31 ways as a sum of consecutive naturals, for example, 724018 + ... + 1186971.

It is an arithmetic number, because the mean of its divisors is an integer number (20180054400).

Almost surely, 2442350000753 is an apocalyptic number.

It is an amenable number.

442350000753 is a deficient number, since it is larger than the sum of its proper divisors (203411740047).

442350000753 is a wasteful number, since it uses less digits than its factorization.

442350000753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911173.

The product of its (nonzero) digits is 50400, while the sum is 33.

Adding to 442350000753 its reverse (357000053244), we get a palindrome (799350053997).

The spelling of 442350000753 in words is "four hundred forty-two billion, three hundred fifty million, seven hundred fifty-three", and thus it is an aban number.

Divisors: 1 3 19 31 57 93 131 393 589 1767 2489 4061 7467 12183 77159 231477 1910989 5732967 36308791 59240659 108926373 177721977 250339559 751018677 1125572521 3376717563 4756451621 7760526329 14269354863 23281578987 147450000251 442350000753