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204044120444340 = 2232511234480547221
BaseRepresentation
bin101110011001001110111001…
…010100010100110110110100
3222202110102112120201120000200
4232121032321110110312310
5203221024324313204330
62001544324101440500
760656462343026661
oct5631167124246664
9882412476646020
10204044120444340
115a018697631860
121aa7514b110130
1389b137c9ac7c7
143855b06878a68
15188c9c8648a60
hexb993b9514db4

204044120444340 has 144 divisors (see below), whose sum is σ = 704557089565056. Its totient is φ = 47314578643200.

The previous prime is 204044120444323. The next prime is 204044120444341. The reversal of 204044120444340 is 43444021440402.

It is a happy number.

204044120444340 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 4 + 4 + 1 + 204 + 443 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204044120444295 and 204044120444304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204044120444341) 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, 2240228071 + ... + 2240319150.

It is an arithmetic number, because the mean of its divisors is an integer number (4892757566424).

Almost surely, 2204044120444340 is an apocalyptic number.

204044120444340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204044120444340 is an abundant number, since it is smaller than the sum of its proper divisors (500512969120716).

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

204044120444340 is a wasteful number, since it uses less digits than its factorization.

204044120444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480547270 (or 4480547265 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 204044120444340 its reverse (43444021440402), we get a palindrome (247488141884742).

The spelling of 204044120444340 in words is "two hundred four trillion, forty-four billion, one hundred twenty million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4554 5060 7590 9108 11385 15180 22770 45540 4480547221 8961094442 13441641663 17922188884 22402736105 26883283326 40324924989 44805472210 49286019431 53766566652 67208208315 80649849978 89610944420 98572038862 103052586083 134416416630 147858058293 161299699956 197144077724 201624624945 206105172166 246430097155 268832833260 295716116586 309157758249 403249249890 412210344332 443574174879 492860194310 515262930415 591432233172 618315516498 739290291465 806498499780 887148349758 927473274747 985720388620 1030525860830 1133578446913 1236631032996 1478580582930 1545788791245 1774296699516 1854946549494 2061051721660 2217870874395 2267156893826 2957161165860 3091577582490 3400735340739 3709893098988 4435741748790 4534313787652 4637366373735 5667892234565 6183155164980 6801470681478 8871483497580 9274732747470 10202206022217 11335784469130 13602941362956 17003676703695 18549465494940 20404412044434 22671568938260 34007353407390 40808824088868 51011030111085 68014706814780 102022060222170 204044120444340