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443414432134014 = 2311103107863706373
BaseRepresentation
bin110010011010010000111011…
…1101101110011001101111110
32011011000000011011122010220020
41210310201313231303031332
5431104400224111242024
64211021440013433010
7162253430663201565
oct14464416755631576
92134000134563806
10443414432134014
11119316006170720
124189483019b766
1316055a55c752c3
147b6d531822bdc
15363e360eca979
hex1934877b7337e

443414432134014 has 128 divisors (see below), whose sum is σ = 987115644223488. Its totient is φ = 131666949663360.

The previous prime is 443414432133989. The next prime is 443414432134081. The reversal of 443414432134014 is 410431234414344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627380932 + ... + 628087304.

It is an arithmetic number, because the mean of its divisors is an integer number (7711840970496).

Almost surely, 2443414432134014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443414432134014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493557822111744).

443414432134014 is an abundant number, since it is smaller than the sum of its proper divisors (543701212089474).

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

443414432134014 is a wasteful number, since it uses less digits than its factorization.

443414432134014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707462.

The product of its (nonzero) digits is 884736, while the sum is 42.

Adding to 443414432134014 its reverse (410431234414344), we get a palindrome (853845666548358).

The spelling of 443414432134014 in words is "four hundred forty-three trillion, four hundred fourteen billion, four hundred thirty-two million, one hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 103 107 206 214 309 321 618 642 863 1133 1177 1726 2266 2354 2589 3399 3531 5178 6798 7062 9493 11021 18986 22042 28479 33063 56958 66126 88889 92341 121231 177778 184682 242462 266667 277023 363693 533334 554046 706373 727386 977779 1015751 1412746 1955558 2031502 2119119 2933337 3047253 4238238 5866674 6094506 7770103 9511123 15540206 19022246 23310309 28533369 46620618 57066738 72756419 75581911 104622353 145512838 151163822 209244706 218269257 226745733 313867059 436538514 453491466 609599899 627734118 800320609 831401021 1219199798 1600641218 1662802042 1828799697 2400961827 2494203063 3657599394 4801923654 4988406126 6705598889 7784936833 13411197778 15569873666 20116796667 23354810499 40233593334 46709620998 62788789597 65227189193 85634305163 125577579194 130454378386 171268610326 188366368791 195681567579 256902915489 376732737582 391363135158 513805830978 690676685567 717499081123 1381353371134 1434998162246 2072030056701 2152497243369 4144060113402 4304994486738 6718400486879 13436800973758 20155201460637 40310402921274 73902405355669 147804810711338 221707216067007 443414432134014