34920144000

素因数分解:

$2^7\times 3^2\times 5^3\times 7^4\times {\mathrm{101}}^1$

素因数の和:164

約数の個数: 960

約数和(自身を含む): 147747932280

約数和(自身を除く): 112827788280

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 28, 30, 32, 35, 36, 40, 42, 45, 48, 49, 50, 56, 60, 63, 64, 70, 72, 75, 80, 84, 90, 96, 98, 100, 101, 105, 112, 120, 125, 126, 128, 140, 144, 147, 150, 160, 168, 175, 180, 192, 196, 200, 202, 210, 224, 225, 240, 245, 250, 252, 280, 288, 294, 300, 303, 315, 320, 336, 343, 350, 360, 375, 384, 392, 400, 404, 420, 441, 448, 450, 480, 490, 500, 504, 505, 525, 560, 576, 588, 600, 606, 630, 640, 672, 686, 700, 707, 720, 735, 750, 784, 800, 808, 840, 875, 882, 896, 900, 909, 960, 980, 1000, 1008, 1010, 1029, 1050, 1120, 1125, 1152, 1176, 1200, 1212, 1225, 1260, 1344, 1372, 1400, 1414, 1440, 1470, 1500, 1515, 1568, 1575, 1600, 1616, 1680, 1715, 1750, 1764, 1800, 1818, 1920, 1960, 2000, 2016, 2020, 2058, 2100, 2121, 2205, 2240, 2250, 2352, 2400, 2401, 2424, 2450, 2520, 2525, 2625, 2688, 2744, 2800, 2828, 2880, 2940, 3000, 3030, 3087, 3136, 3150, 3200, 3232, 3360, 3430, 3500, 3528, 3535, 3600, 3636, 3675, 3920, 4000, 4032, 4040, 4116, 4200, 4242, 4410, 4480, 4500, 4545, 4704, 4800, 4802, 4848, 4900, 4949, 5040, 5050, 5145, 5250, 5488, 5600, 5656, 5760, 5880, 6000, 6060, 6125, 6174, 6272, 6300, 6363, 6464, 6720, 6860, 7000, 7056, 7070, 7200, 7203, 7272, 7350, 7575, 7840, 7875, 8000, 8064, 8080, 8232, 8400, 8484, 8575, 8820, 9000, 9090, 9408, 9600, 9604, 9696, 9800, 9898, 10080, 10100, 10290, 10500, 10605, 10976, 11025, 11200, 11312, 11760, 12000, 12005, 12120, 12250, 12348, 12600, 12625, 12726, 12928, 13440, 13720, 14000, 14112, 14140, 14400, 14406, 14544, 14700, 14847, 15150, 15435, 15680, 15750, 16000, 16160, 16464, 16800, 16968, 17150, 17640, 17675, 18000, 18180, 18375, 18816, 19208, 19392, 19600, 19796, 20160, 20200, 20580, 21000, 21210, 21609, 21952, 22050, 22400, 22624, 22725, 23520, 24000, 24010, 24240, 24500, 24696, 24745, 25200, 25250, 25452, 25725, 27440, 28000, 28224, 28280, 28800, 28812, 29088, 29400, 29694, 30300, 30870, 31360, 31500, 31815, 32320, 32928, 33600, 33936, 34300, 34643, 35280, 35350, 36000, 36015, 36360, 36750, 37875, 38416, 38784, 39200, 39592, 40320, 40400, 41160, 42000, 42420, 42875, 43218, 43904, 44100, 44541, 45248, 45450, 47040, 48000, 48020, 48480, 49000, 49392, 49490, 50400, 50500, 50904, 51450, 53025, 54880, 55125, 56000, 56448, 56560, 57624, 58176, 58800, 59388, 60025, 60600, 61740, 63000, 63630, 64640, 65856, 67200, 67872, 68600, 69286, 70560, 70700, 72000, 72030, 72720, 73500, 74235, 75750, 76832, 77175, 78400, 79184, 80800, 82320, 84000, 84840, 85750, 86436, 88200, 88375, 89082, 90496, 90900, 94080, 96040, 96960, 98000, 98784, 98980, 100800, 101000, 101808, 102900, 103929, 106050, 108045, 109760, 110250, 112000, 113120, 113625, 115248, 116352, 117600, 118776, 120050, 121200, 123480, 123725, 126000, 127260, 128625, 131712, 135744, 137200, 138572, 141120, 141400, 144000, 144060, 145440, 147000, 148470, 151500, 153664, 154350, 156800, 158368, 159075, 161600, 164640, 168000, 169680, 171500, 172872, 173215, 176400, 176750, 178164, 180075, 181800, 192080, 193920, 196000, 197568, 197960, 201600, 202000, 203616, 205800, 207858, 212100, 216090, 219520, 220500, 222705, 226240, 227250, 230496, 235200, 237552, 240100, 242400, 242501, 246960, 247450, 252000, 254520, 257250, 265125, 271488, 274400, 277144, 282240, 282800, 288120, 290880, 294000, 296940, 300125, 303000, 307328, 308700, 311787, 316736, 318150, 323200, 329280, 336000, 339360, 343000, 345744, 346430, 352800, 353500, 356328, 360150, 363600, 371175, 384160, 385875, 392000, 395136, 395920, 404000, 407232, 411600, 415716, 424200, 432180, 441000, 445410, 452480, 454500, 460992, 470400, 475104, 480200, 484800, 485002, 493920, 494900, 504000, 509040, 514500, 519645, 530250, 540225, 548800, 554288, 565600, 576240, 581760, 588000, 593880, 600250, 606000, 617400, 618625, 623574, 633472, 636300, 658560, 678720, 686000, 691488, 692860, 705600, 707000, 712656, 720300, 727200, 727503, 742350, 768320, 771750, 784000, 791840, 795375, 808000, 814464, 823200, 831432, 848400, 864360, 866075, 882000, 890820, 900375, 909000, 921984, 950208, 960400, 969600, 970004, 987840, 989800, 1008000, 1018080, 1029000, 1039290, 1060500, 1080450, 1097600, 1108576, 1113525, 1131200, 1152480, 1176000, 1187760, 1200500, 1212000, 1212505, 1234800, 1237250, 1247148, 1272600, 1357440, 1372000, 1382976, 1385720, 1411200, 1414000, 1425312, 1440600, 1454400, 1455006, 1484700, 1536640, 1543500, 1558935, 1583680, 1590750, 1616000, 1646400, 1662864, 1696800, 1728720, 1732150, 1764000, 1781640, 1800750, 1818000, 1855875, 1900416, 1920800, 1940008, 1975680, 1979600, 2036160, 2058000, 2078580, 2121000, 2160900, 2182509, 2217152, 2227050, 2262400, 2304960, 2352000, 2375520, 2401000, 2424000, 2425010, 2469600, 2474500, 2494296, 2545200, 2598225, 2701125, 2744000, 2765952, 2771440, 2828000, 2850624, 2881200, 2908800, 2910012, 2969400, 3087000, 3117870, 3167360, 3181500, 3292800, 3325728, 3393600, 3457440, 3464300, 3528000, 3563280, 3601500, 3636000, 3637515, 3711750, 3841600, 3880016, 3959200, 4072320, 4116000, 4157160, 4242000, 4321800, 4330375, 4365018, 4434304, 4454100, 4609920, 4751040, 4802000, 4848000, 4850020, 4939200, 4949000, 4988592, 5090400, 5196450, 5402250, 5488000, 5542880, 5567625, 5656000, 5701248, 5762400, 5820024, 5938800, 6062525, 6174000, 6235740, 6363000, 6651456, 6787200, 6914880, 6928600, 7056000, 7126560, 7203000, 7272000, 7275030, 7423500, 7683200, 7760032, 7794675, 7918400, 8232000, 8314320, 8484000, 8643600, 8660750, 8730036, 8908200, 9502080, 9604000, 9700040, 9878400, 9898000, 9977184, 10180800, 10392900, 10804500, 10912545, 11085760, 11135250, 11312000, 11524800, 11640048, 11877600, 12125050, 12348000, 12471480, 12726000, 12991125, 13302912, 13829760, 13857200, 14253120, 14406000, 14544000, 14550060, 14847000, 15520064, 15589350, 15836800, 16464000, 16628640, 16968000, 17287200, 17321500, 17460072, 17816400, 18187575, 19208000, 19400080, 19796000, 19954368, 20361600, 20785800, 21609000, 21825090, 22171520, 22270500, 23049600, 23280096, 23755200, 24250100, 24696000, 24942960, 25452000, 25982250, 27714400, 28506240, 28812000, 29100120, 29694000, 30312625, 31040128, 31178700, 33257280, 33936000, 34574400, 34643000, 34920144, 35632800, 36375150, 38416000, 38800160, 38973375, 39592000, 39908736, 41571600, 43218000, 43650180, 44541000, 46560192, 47510400, 48500200, 49392000, 49885920, 50904000, 51964500, 54562725, 55428800, 57624000, 58200240, 59388000, 60625250, 62357400, 66514560, 69148800, 69286000, 69840288, 71265600, 72750300, 77600320, 77946750, 79184000, 83143200, 86436000, 87300360, 89082000, 90937875, 93120384, 97000400, 99771840, 101808000, 103929000, 109125450, 110857600, 115248000, 116400480, 118776000, 121250500, 124714800, 138572000, 139680576, 142531200, 145500600, 155200640, 155893500, 166286400, 172872000, 174600720, 178164000, 181875750, 194000800, 199543680, 207858000, 218250900, 232800960, 237552000, 242501000, 249429600, 272813625, 277144000, 279361152, 291001200, 311787000, 332572800, 345744000, 349201440, 356328000, 363751500, 388001600, 415716000, 436501800, 465601920, 485002000, 498859200, 545627250, 554288000, 582002400, 623574000, 698402880, 712656000, 727503000, 776003200, 831432000, 873003600, 970004000, 997718400, 1091254500, 1164004800, 1247148000, 1396805760, 1455006000, 1662864000, 1746007200, 1940008000, 2182509000, 2328009600, 2494296000, 2910012000, 3492014400, 3880016000, 4365018000, 4988592000, 5820024000, 6984028800, 8730036000, 11640048000, 17460072000, 34920144000]

約数ペア:

[(1, 34920144000), (2, 17460072000), (3, 11640048000), (4, 8730036000), (5, 6984028800), (6, 5820024000), (7, 4988592000), (8, 4365018000), (9, 3880016000), (10, 3492014400), (12, 2910012000), (14, 2494296000), (15, 2328009600), (16, 2182509000), (18, 1940008000), (20, 1746007200), (21, 1662864000), (24, 1455006000), (25, 1396805760), (28, 1247148000), (30, 1164004800), (32, 1091254500), (35, 997718400), (36, 970004000), (40, 873003600), (42, 831432000), (45, 776003200), (48, 727503000), (49, 712656000), (50, 698402880), (56, 623574000), (60, 582002400), (63, 554288000), (64, 545627250), (70, 498859200), (72, 485002000), (75, 465601920), (80, 436501800), (84, 415716000), (90, 388001600), (96, 363751500), (98, 356328000), (100, 349201440), (101, 345744000), (105, 332572800), (112, 311787000), (120, 291001200), (125, 279361152), (126, 277144000), (128, 272813625), (140, 249429600), (144, 242501000), (147, 237552000), (150, 232800960), (160, 218250900), (168, 207858000), (175, 199543680), (180, 194000800), (192, 181875750), (196, 178164000), (200, 174600720), (202, 172872000), (210, 166286400), (224, 155893500), (225, 155200640), (240, 145500600), (245, 142531200), (250, 139680576), (252, 138572000), (280, 124714800), (288, 121250500), (294, 118776000), (300, 116400480), (303, 115248000), (315, 110857600), (320, 109125450), (336, 103929000), (343, 101808000), (350, 99771840), (360, 97000400), (375, 93120384), (384, 90937875), (392, 89082000), (400, 87300360), (404, 86436000), (420, 83143200), (441, 79184000), (448, 77946750), (450, 77600320), (480, 72750300), (490, 71265600), (500, 69840288), (504, 69286000), (505, 69148800), (525, 66514560), (560, 62357400), (576, 60625250), (588, 59388000), (600, 58200240), (606, 57624000), (630, 55428800), (640, 54562725), (672, 51964500), (686, 50904000), (700, 49885920), (707, 49392000), (720, 48500200), (735, 47510400), (750, 46560192), (784, 44541000), (800, 43650180), (808, 43218000), (840, 41571600), (875, 39908736), (882, 39592000), (896, 38973375), (900, 38800160), (909, 38416000), (960, 36375150), (980, 35632800), (1000, 34920144), (1008, 34643000), (1010, 34574400), (1029, 33936000), (1050, 33257280), (1120, 31178700), (1125, 31040128), (1152, 30312625), (1176, 29694000), (1200, 29100120), (1212, 28812000), (1225, 28506240), (1260, 27714400), (1344, 25982250), (1372, 25452000), (1400, 24942960), (1414, 24696000), (1440, 24250100), (1470, 23755200), (1500, 23280096), (1515, 23049600), (1568, 22270500), (1575, 22171520), (1600, 21825090), (1616, 21609000), (1680, 20785800), (1715, 20361600), (1750, 19954368), (1764, 19796000), (1800, 19400080), (1818, 19208000), (1920, 18187575), (1960, 17816400), (2000, 17460072), (2016, 17321500), (2020, 17287200), (2058, 16968000), (2100, 16628640), (2121, 16464000), (2205, 15836800), (2240, 15589350), (2250, 15520064), (2352, 14847000), (2400, 14550060), (2401, 14544000), (2424, 14406000), (2450, 14253120), (2520, 13857200), (2525, 13829760), (2625, 13302912), (2688, 12991125), (2744, 12726000), (2800, 12471480), (2828, 12348000), (2880, 12125050), (2940, 11877600), (3000, 11640048), (3030, 11524800), (3087, 11312000), (3136, 11135250), (3150, 11085760), (3200, 10912545), (3232, 10804500), (3360, 10392900), (3430, 10180800), (3500, 9977184), (3528, 9898000), (3535, 9878400), (3600, 9700040), (3636, 9604000), (3675, 9502080), (3920, 8908200), (4000, 8730036), (4032, 8660750), (4040, 8643600), (4116, 8484000), (4200, 8314320), (4242, 8232000), (4410, 7918400), (4480, 7794675), (4500, 7760032), (4545, 7683200), (4704, 7423500), (4800, 7275030), (4802, 7272000), (4848, 7203000), (4900, 7126560), (4949, 7056000), (5040, 6928600), (5050, 6914880), (5145, 6787200), (5250, 6651456), (5488, 6363000), (5600, 6235740), (5656, 6174000), (5760, 6062525), (5880, 5938800), (6000, 5820024), (6060, 5762400), (6125, 5701248), (6174, 5656000), (6272, 5567625), (6300, 5542880), (6363, 5488000), (6464, 5402250), (6720, 5196450), (6860, 5090400), (7000, 4988592), (7056, 4949000), (7070, 4939200), (7200, 4850020), (7203, 4848000), (7272, 4802000), (7350, 4751040), (7575, 4609920), (7840, 4454100), (7875, 4434304), (8000, 4365018), (8064, 4330375), (8080, 4321800), (8232, 4242000), (8400, 4157160), (8484, 4116000), (8575, 4072320), (8820, 3959200), (9000, 3880016), (9090, 3841600), (9408, 3711750), (9600, 3637515), (9604, 3636000), (9696, 3601500), (9800, 3563280), (9898, 3528000), (10080, 3464300), (10100, 3457440), (10290, 3393600), (10500, 3325728), (10605, 3292800), (10976, 3181500), (11025, 3167360), (11200, 3117870), (11312, 3087000), (11760, 2969400), (12000, 2910012), (12005, 2908800), (12120, 2881200), (12250, 2850624), (12348, 2828000), (12600, 2771440), (12625, 2765952), (12726, 2744000), (12928, 2701125), (13440, 2598225), (13720, 2545200), (14000, 2494296), (14112, 2474500), (14140, 2469600), (14400, 2425010), (14406, 2424000), (14544, 2401000), (14700, 2375520), (14847, 2352000), (15150, 2304960), (15435, 2262400), (15680, 2227050), (15750, 2217152), (16000, 2182509), (16160, 2160900), (16464, 2121000), (16800, 2078580), (16968, 2058000), (17150, 2036160), (17640, 1979600), (17675, 1975680), (18000, 1940008), (18180, 1920800), (18375, 1900416), (18816, 1855875), (19208, 1818000), (19392, 1800750), (19600, 1781640), (19796, 1764000), (20160, 1732150), (20200, 1728720), (20580, 1696800), (21000, 1662864), (21210, 1646400), (21609, 1616000), (21952, 1590750), (22050, 1583680), (22400, 1558935), (22624, 1543500), (22725, 1536640), (23520, 1484700), (24000, 1455006), (24010, 1454400), (24240, 1440600), (24500, 1425312), (24696, 1414000), (24745, 1411200), (25200, 1385720), (25250, 1382976), (25452, 1372000), (25725, 1357440), (27440, 1272600), (28000, 1247148), (28224, 1237250), (28280, 1234800), (28800, 1212505), (28812, 1212000), (29088, 1200500), (29400, 1187760), (29694, 1176000), (30300, 1152480), (30870, 1131200), (31360, 1113525), (31500, 1108576), (31815, 1097600), (32320, 1080450), (32928, 1060500), (33600, 1039290), (33936, 1029000), (34300, 1018080), (34643, 1008000), (35280, 989800), (35350, 987840), (36000, 970004), (36015, 969600), (36360, 960400), (36750, 950208), (37875, 921984), (38416, 909000), (38784, 900375), (39200, 890820), (39592, 882000), (40320, 866075), (40400, 864360), (41160, 848400), (42000, 831432), (42420, 823200), (42875, 814464), (43218, 808000), (43904, 795375), (44100, 791840), (44541, 784000), (45248, 771750), (45450, 768320), (47040, 742350), (48000, 727503), (48020, 727200), (48480, 720300), (49000, 712656), (49392, 707000), (49490, 705600), (50400, 692860), (50500, 691488), (50904, 686000), (51450, 678720), (53025, 658560), (54880, 636300), (55125, 633472), (56000, 623574), (56448, 618625), (56560, 617400), (57624, 606000), (58176, 600250), (58800, 593880), (59388, 588000), (60025, 581760), (60600, 576240), (61740, 565600), (63000, 554288), (63630, 548800), (64640, 540225), (65856, 530250), (67200, 519645), (67872, 514500), (68600, 509040), (69286, 504000), (70560, 494900), (70700, 493920), (72000, 485002), (72030, 484800), (72720, 480200), (73500, 475104), (74235, 470400), (75750, 460992), (76832, 454500), (77175, 452480), (78400, 445410), (79184, 441000), (80800, 432180), (82320, 424200), (84000, 415716), (84840, 411600), (85750, 407232), (86436, 404000), (88200, 395920), (88375, 395136), (89082, 392000), (90496, 385875), (90900, 384160), (94080, 371175), (96040, 363600), (96960, 360150), (98000, 356328), (98784, 353500), (98980, 352800), (100800, 346430), (101000, 345744), (101808, 343000), (102900, 339360), (103929, 336000), (106050, 329280), (108045, 323200), (109760, 318150), (110250, 316736), (112000, 311787), (113120, 308700), (113625, 307328), (115248, 303000), (116352, 300125), (117600, 296940), (118776, 294000), (120050, 290880), (121200, 288120), (123480, 282800), (123725, 282240), (126000, 277144), (127260, 274400), (128625, 271488), (131712, 265125), (135744, 257250), (137200, 254520), (138572, 252000), (141120, 247450), (141400, 246960), (144000, 242501), (144060, 242400), (145440, 240100), (147000, 237552), (148470, 235200), (151500, 230496), (153664, 227250), (154350, 226240), (156800, 222705), (158368, 220500), (159075, 219520), (161600, 216090), (164640, 212100), (168000, 207858), (169680, 205800), (171500, 203616), (172872, 202000), (173215, 201600), (176400, 197960), (176750, 197568), (178164, 196000), (180075, 193920), (181800, 192080)]