Search a number
-
+
204105425040 = 243251125770887
BaseRepresentation
bin1011111000010110100…
…0011010000010010000
3201111211110100212220200
42332011220122002100
511321001442100130
6233433103335200
720513631326136
oct2760550320220
9644743325820
10204105425040
1179619211860
12336825b1500
1316329a3376a
149c43439756
155498ac1760
hex2f85a1a090

204105425040 has 120 divisors (see below), whose sum is σ = 747768086208. Its totient is φ = 49480101120.

The previous prime is 204105424993. The next prime is 204105425057. The reversal of 204105425040 is 40524501402.

204105425040 is a `hidden beast` number, since 20 + 4 + 10 + 542 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 204105424995 and 204105425013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12877524 + ... + 12893363.

Almost surely, 2204105425040 is an apocalyptic number.

204105425040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204105425040 is an abundant number, since it is smaller than the sum of its proper divisors (543662661168).

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

204105425040 is a wasteful number, since it uses less digits than its factorization.

204105425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25770917 (or 25770908 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 204105425040 its reverse (40524501402), we get a palindrome (244629926442).

The spelling of 204105425040 in words is "two hundred four billion, one hundred five million, four hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 25770887 51541774 77312661 103083548 128854435 154625322 206167096 231937983 257708870 283479757 309250644 386563305 412334192 463875966 515417740 566959514 618501288 773126610 850439271 927751932 1030835480 1133919028 1159689915 1237002576 1417398785 1546253220 1700878542 1855503864 2061670960 2267838056 2319379830 2551317813 2834797570 3092506440 3401757084 3711007728 4252196355 4535676112 4638759660 5102635626 5669595140 6185012880 6803514168 8504392710 9277519320 10205271252 11339190280 12756589065 13607028336 17008785420 18555038640 20410542504 22678380560 25513178130 34017570840 40821085008 51026356260 68035141680 102052712520 204105425040