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4424131054305 = 35521126964153
BaseRepresentation
bin100000001100001001011…
…0000101000101011100001
3120122221110022002122100000
41000120102300220223201
51034441110022214210
613224230122250213
7634430043326124
oct100302260505341
916587408078300
104424131054305
111456299709256
125b5514656969
1326126992a721
141141b42d43bb
157a136130ac0
hex40612c28ae1

4424131054305 has 96 divisors (see below), whose sum is σ = 8020030112640. Its totient is φ = 2339587514880.

The previous prime is 4424131054289. The next prime is 4424131054319. The reversal of 4424131054305 is 5034501314244.

4424131054305 is a `hidden beast` number, since 4 + 4 + 241 + 3 + 105 + 4 + 305 = 666.

It is not a de Polignac number, because 4424131054305 - 24 = 4424131054289 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4424131054305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68930109 + ... + 68994261.

It is an arithmetic number, because the mean of its divisors is an integer number (83541980340).

Almost surely, 24424131054305 is an apocalyptic number.

4424131054305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4424131054305 is a deficient number, since it is larger than the sum of its proper divisors (3595899058335).

4424131054305 is a wasteful number, since it uses less digits than its factorization.

4424131054305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64653 (or 64641 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 4424131054305 its reverse (5034501314244), we get a palindrome (9458632368549).

The spelling of 4424131054305 in words is "four trillion, four hundred twenty-four billion, one hundred thirty-one million, fifty-four thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 211 243 269 405 633 807 1055 1215 1345 1899 2421 3165 4035 5697 7263 9495 12105 17091 21789 28485 36315 51273 56759 64153 65367 85455 108945 170277 192459 256365 283795 320765 326835 510831 577377 851385 962295 1532493 1732131 2554155 2886885 4597479 5196393 7662465 8660655 13536283 13792437 15589179 17257157 22987395 25981965 40608849 51771471 67681415 68962185 77945895 86285785 121826547 155314413 203044245 258857355 365479641 465943239 609132735 776572065 1096438923 1397829717 1827398205 2329716195 3289316769 3641260127 4193489151 5482194615 6989148585 10923780381 16446583845 18206300635 20967445755 32771341143 54618901905 98314023429 163856705715 294942070287 491570117145 884826210861 1474710351435 4424131054305