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244105420354400 = 25521143645098891
BaseRepresentation
bin110111100000001100111000…
…110111100011001101100000
31012000022020202110020122110102
4313200030320313203031200
5223443410400102320100
62223100252035521532
7102263014606535453
oct6740147067431540
91160266673218412
10244105420354400
1170863588a7a620
12234653234592a8
13a62907210a4a7
14443caa030349a
151d34b1ec8bcd5
hexde0338de3360

244105420354400 has 144 divisors (see below), whose sum is σ = 665215655848128. Its totient is φ = 86701290816000.

The previous prime is 244105420354361. The next prime is 244105420354429. The reversal of 244105420354400 is 4453024501442.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 322171046 + ... + 322927845.

It is an arithmetic number, because the mean of its divisors is an integer number (4619553165612).

Almost surely, 2244105420354400 is an apocalyptic number.

244105420354400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244105420354400 is an abundant number, since it is smaller than the sum of its proper divisors (421110235493728).

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

244105420354400 is a wasteful number, since it uses less digits than its factorization.

244105420354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645098965 (or 645098952 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

Adding to 244105420354400 its reverse (4453024501442), we get a palindrome (248558444855842).

The spelling of 244105420354400 in words is "two hundred forty-four trillion, one hundred five billion, four hundred twenty million, three hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 43 44 50 55 80 86 88 100 110 160 172 176 200 215 220 275 344 352 400 430 440 473 550 688 800 860 880 946 1075 1100 1376 1720 1760 1892 2150 2200 2365 3440 3784 4300 4400 4730 6880 7568 8600 8800 9460 11825 15136 17200 18920 23650 34400 37840 47300 75680 94600 189200 378400 645098891 1290197782 2580395564 3225494455 5160791128 6450988910 7096087801 10321582256 12901977820 14192175602 16127472275 20643164512 25803955640 27739252313 28384351204 32254944550 35480439005 51607911280 55478504626 56768702408 64509889100 70960878010 103215822560 110957009252 113537404816 129019778200 138696261565 141921756020 177402195025 221914018504 227074809632 258039556400 277392523130 283843512040 305131775443 354804390050 443828037008 516079112800 554785046260 567687024080 610263550886 693481307825 709608780100 887656074016 1109570092520 1135374048160 1220527101772 1386962615650 1419217560200 1525658877215 2219140185040 2441054203544 2773925231300 2838435120400 3051317754430 4438280370080 4882108407088 5547850462600 5676870240800 6102635508860 7628294386075 9764216814176 11095700925200 12205271017720 15256588772150 22191401850400 24410542035440 30513177544300 48821084070880 61026355088600 122052710177200 244105420354400