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4334342242404 = 2231979509472763
BaseRepresentation
bin111111000100101010111…
…011100000000001100100
3120100100200202121101211010
4333010222323200001210
51032003213103224104
613115100324342220
7625101020115246
oct77045273400144
916310622541733
104334342242404
111421203221989
125a0036544970
1325595a7ac025
1410dad748c096
1577b2d5bd489
hex3f12aee0064

4334342242404 has 96 divisors (see below), whose sum is σ = 10801711872000. Its totient is φ = 1348755947136.

The previous prime is 4334342242381. The next prime is 4334342242429. The reversal of 4334342242404 is 4042422434334.

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 31 ways as a sum of consecutive naturals, for example, 8931727 + ... + 9404489.

It is an arithmetic number, because the mean of its divisors is an integer number (112517832000).

Almost surely, 24334342242404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4334342242404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400855936000).

4334342242404 is an abundant number, since it is smaller than the sum of its proper divisors (6467369629596).

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

4334342242404 is a wasteful number, since it uses less digits than its factorization.

4334342242404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473377 (or 473375 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 39.

Adding to 4334342242404 its reverse (4042422434334), we get a palindrome (8376764676738).

The spelling of 4334342242404 in words is "four trillion, three hundred thirty-four billion, three hundred forty-two million, two hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 79 114 158 228 237 316 474 509 948 1018 1501 1527 2036 3002 3054 4503 6004 6108 9006 9671 18012 19342 29013 38684 40211 58026 80422 116052 120633 160844 241266 472763 482532 764009 945526 1418289 1528018 1891052 2292027 2836578 3056036 4584054 5673156 8982497 9168108 17964994 26947491 35929988 37348277 53894982 74696554 107789964 112044831 149393108 224089662 240636367 448179324 481272734 709617263 721909101 962545468 1419234526 1443818202 2128851789 2838469052 2887636404 4257703578 4572090973 8515407156 9144181946 13716272919 18288363892 19010272993 27432545838 38020545986 54865091676 57030818979 76041091972 114061637958 228123275916 361195186867 722390373734 1083585560601 1444780747468 2167171121202 4334342242404