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4044224444100 = 2235219975190203
BaseRepresentation
bin111010110110011110100…
…011111011011011000100
3112022121211221210020022020
4322312132203323123010
51012230032424202400
612333520245203140
7565120436403351
oct72663643733304
915277757706266
104044224444100
11131a1672a2025
1255396a7004b0
132344a4134b59
14dda549a7628
15702ed79e2a0
hex3ad9e8fb6c4

4044224444100 has 144 divisors (see below), whose sum is σ = 11775879628800. Its totient is φ = 1071599760000.

The previous prime is 4044224444063. The next prime is 4044224444101. The reversal of 4044224444100 is 14444224404.

It is not an unprimeable number, because it can be changed into a prime (4044224444101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44789599 + ... + 44879801.

Almost surely, 24044224444100 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 4044224444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887939814400).

4044224444100 is an abundant number, since it is smaller than the sum of its proper divisors (7731655184700).

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

4044224444100 is a wasteful number, since it uses less digits than its factorization.

4044224444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91170 (or 91163 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 4044224444100 its reverse (14444224404), we get a palindrome (4058668668504).

The spelling of 4044224444100 in words is "four trillion, forty-four billion, two hundred twenty-four million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 199 300 398 597 751 796 995 1194 1502 1990 2253 2388 2985 3004 3755 3980 4506 4975 5970 7510 9012 9950 11265 11940 14925 15020 18775 19900 22530 29850 37550 45060 56325 59700 75100 90203 112650 149449 180406 225300 270609 298898 360812 448347 451015 541218 597796 747245 896694 902030 1082436 1353045 1494490 1793388 1804060 2241735 2255075 2706090 2988980 3736225 4483470 4510150 5412180 6765225 7472450 8966940 9020300 11208675 13530450 14944900 17950397 22417350 27060900 35900794 44834700 53851191 67742453 71801588 89751985 107702382 135484906 179503970 203227359 215404764 269255955 270969812 338712265 359007940 406454718 448759925 538511910 677424530 812909436 897519850 1016136795 1077023820 1346279775 1354849060 1693561325 1795039700 2032273590 2692559550 3387122650 4064547180 5080683975 5385119100 6774245300 10161367950 13480748147 20322735900 26961496294 40442244441 53922992588 67403740735 80884488882 134807481470 161768977764 202211222205 269614962940 337018703675 404422444410 674037407350 808844888820 1011056111025 1348074814700 2022112222050 4044224444100