Q: What is the sum of all factors of the number 400,020,320 including 400,020,320?

 A: 1,137,628,800

Why is 1,137,628,800 the sum of all factors of 400,020,320, including 400,020,320?

The factors of the number 400,020,320 are: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 37, 40, 49, 56, 70, 74, 80, 98, 112, 140, 148, 160, 185, 196, 197, 224, 245, 259, 280, 296, 343, 370, 392, 394, 490, 518, 560, 592, 686, 740, 784, 788, 980, 985, 1036, 1120, 1184, 1295, 1372, 1379, 1480, 1568, 1576, 1715, 1813, 1960, 1970, 2072, 2590, 2744, 2758, 2960, 3152, 3430, 3626, 3920, 3940, 4144, 5180, 5488, 5516, 5920, 6304, 6860, 6895, 7252, 7289, 7840, 7880, 8288, 9065, 9653, 10360, 10976, 11032, 12691, 13720, 13790, 14504, 14578, 15760, 18130, 19306, 20720, 22064, 25382, 27440, 27580, 29008, 29156, 31520, 36260, 36445, 38612, 41440, 44128, 48265, 50764, 51023, 54880, 55160, 58016, 58312, 63455, 67571, 72520, 72890, 77224, 96530, 101528, 102046, 110320, 116624, 126910, 135142, 145040, 145780, 154448, 193060, 203056, 204092, 220640, 233248, 253820, 255115, 270284, 290080, 291560, 308896, 337855, 357161, 386120, 406112, 408184, 507640, 510230, 540568, 583120, 675710, 714322, 772240, 816368, 1015280, 1020460, 1081136, 1166240, 1351420, 1428644, 1544480, 1632736, 1785805, 2030560, 2040920, 2162272, 2500127, 2702840, 2857288, 3571610, 4081840, 5000254, 5405680, 5714576, 7143220, 8163680, 10000508, 10811360, 11429152, 12500635, 14286440, 20001016, 25001270, 28572880, 40002032, 50002540, 57145760, 80004064, 100005080, 200010160, 400020320.

If you add them up, you will get the total of 1,137,628,800.


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