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4334014132441 = 723718113207297
BaseRepresentation
bin111111000100010111010…
…111110111000011011001
3120100022211220012200120021
4333010113113313003121
51032002030104214231
613115004004030441
7625056624201400
oct77042727670331
916308756180507
104334014132441
111421054a99024
1259bb64692421
1325590781b616
1410daa5a7c637
1577b0e8aa811
hex3f1175f70d9

4334014132441 has 24 divisors (see below), whose sum is σ = 5206475359176. Its totient is φ = 3594497679360.

The previous prime is 4334014132439. The next prime is 4334014132463. The reversal of 4334014132441 is 1442314104334.

It can be written as a sum of positive squares in 4 ways, for example, as 600632750025 + 3733381382416 = 775005^2 + 1932196^2 .

It is not a de Polignac number, because 4334014132441 - 21 = 4334014132439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4334014132397 and 4334014132406.

It is not an unprimeable number, because it can be changed into a prime (4334014132421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6275496 + ... + 6931801.

It is an arithmetic number, because the mean of its divisors is an integer number (216936473299).

Almost surely, 24334014132441 is an apocalyptic number.

It is an amenable number.

4334014132441 is a deficient number, since it is larger than the sum of its proper divisors (872461226735).

4334014132441 is a wasteful number, since it uses less digits than its factorization.

4334014132441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13207529 (or 13207522 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 4334014132441 its reverse (1442314104334), we get a palindrome (5776328236775).

The spelling of 4334014132441 in words is "four trillion, three hundred thirty-four billion, fourteen million, one hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 7 37 49 181 259 1267 1813 6697 8869 46879 328153 13207297 92451079 488669989 647157553 2390520757 3420689923 16733645299 23944829461 88449268009 117135517093 619144876063 4334014132441