29953440000

素因数分解:

$2^8\times 3^2\times 5^4\times {\mathrm{11}}^1\times {\mathrm{31}}^1\times {\mathrm{61}}^1$

素因数の和:145

約数の個数: 1080

約数和(自身を含む): 123520260864

約数和(自身を除く): 93566820864

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 25, 30, 31, 32, 33, 36, 40, 44, 45, 48, 50, 55, 60, 61, 62, 64, 66, 72, 75, 80, 88, 90, 93, 96, 99, 100, 110, 120, 122, 124, 125, 128, 132, 144, 150, 155, 160, 165, 176, 180, 183, 186, 192, 198, 200, 220, 225, 240, 244, 248, 250, 256, 264, 275, 279, 288, 300, 305, 310, 320, 330, 341, 352, 360, 366, 372, 375, 384, 396, 400, 440, 450, 465, 480, 488, 495, 496, 500, 528, 549, 550, 558, 576, 600, 610, 620, 625, 640, 660, 671, 682, 704, 720, 732, 744, 750, 768, 775, 792, 800, 825, 880, 900, 915, 930, 960, 976, 990, 992, 1000, 1023, 1056, 1098, 1100, 1116, 1125, 1152, 1200, 1220, 1240, 1250, 1280, 1320, 1342, 1364, 1375, 1395, 1408, 1440, 1464, 1488, 1500, 1525, 1550, 1584, 1600, 1650, 1705, 1760, 1800, 1830, 1860, 1875, 1891, 1920, 1952, 1980, 1984, 2000, 2013, 2046, 2112, 2196, 2200, 2232, 2250, 2304, 2325, 2400, 2440, 2475, 2480, 2500, 2640, 2684, 2728, 2745, 2750, 2790, 2816, 2880, 2928, 2976, 3000, 3050, 3069, 3100, 3168, 3200, 3300, 3355, 3410, 3520, 3600, 3660, 3720, 3750, 3782, 3840, 3875, 3904, 3960, 3968, 4000, 4026, 4092, 4125, 4224, 4392, 4400, 4464, 4500, 4575, 4650, 4800, 4880, 4950, 4960, 5000, 5115, 5280, 5368, 5456, 5490, 5500, 5580, 5625, 5673, 5760, 5856, 5952, 6000, 6039, 6100, 6138, 6200, 6336, 6400, 6600, 6710, 6820, 6875, 6975, 7040, 7200, 7320, 7440, 7500, 7564, 7625, 7750, 7808, 7920, 7936, 8000, 8052, 8184, 8250, 8448, 8525, 8784, 8800, 8928, 9000, 9150, 9300, 9455, 9600, 9760, 9900, 9920, 10000, 10065, 10230, 10560, 10736, 10912, 10980, 11000, 11160, 11250, 11346, 11520, 11625, 11712, 11904, 12000, 12078, 12200, 12276, 12375, 12400, 12672, 13200, 13420, 13640, 13725, 13750, 13950, 14080, 14400, 14640, 14880, 15000, 15128, 15250, 15345, 15500, 15616, 15840, 16000, 16104, 16368, 16500, 16775, 17019, 17050, 17568, 17600, 17856, 18000, 18300, 18600, 18910, 19200, 19375, 19520, 19800, 19840, 20000, 20130, 20460, 20625, 20801, 21120, 21472, 21824, 21960, 22000, 22320, 22500, 22692, 22875, 23250, 23424, 23808, 24000, 24156, 24400, 24552, 24750, 24800, 25344, 25575, 26400, 26840, 27280, 27450, 27500, 27900, 28365, 28800, 29280, 29760, 30000, 30195, 30256, 30500, 30690, 31000, 31680, 32000, 32208, 32736, 33000, 33550, 34038, 34100, 34875, 35136, 35200, 35712, 36000, 36600, 37200, 37820, 38125, 38750, 39040, 39600, 39680, 40000, 40260, 40920, 41250, 41602, 42240, 42625, 42944, 43648, 43920, 44000, 44640, 45000, 45384, 45750, 46500, 46848, 47275, 48000, 48312, 48800, 49104, 49500, 49600, 50325, 51150, 52800, 53680, 54560, 54900, 55000, 55800, 56730, 57600, 58125, 58560, 59520, 60000, 60390, 60512, 61000, 61380, 61875, 62000, 62403, 63360, 64416, 65472, 66000, 67100, 68076, 68200, 68625, 69750, 70272, 70400, 71424, 72000, 73200, 74400, 75640, 76250, 76725, 77500, 78080, 79200, 80000, 80520, 81840, 82500, 83204, 83875, 85095, 85250, 85888, 87296, 87840, 88000, 89280, 90000, 90768, 91500, 93000, 94550, 96000, 96624, 97600, 98208, 99000, 99200, 100650, 102300, 104005, 105600, 107360, 109120, 109800, 110000, 111600, 113460, 114375, 116250, 117120, 119040, 120000, 120780, 121024, 122000, 122760, 123750, 124000, 124806, 126720, 127875, 128832, 130944, 132000, 134200, 136152, 136400, 137250, 139500, 140544, 141825, 144000, 146400, 148800, 150975, 151280, 152500, 153450, 155000, 158400, 160000, 161040, 163680, 165000, 166408, 167750, 170190, 170500, 171776, 174375, 175680, 176000, 178560, 180000, 181536, 183000, 186000, 187209, 189100, 193248, 195200, 196416, 198000, 198400, 201300, 204600, 208010, 211200, 213125, 214720, 218240, 219600, 220000, 223200, 226920, 228750, 232500, 234240, 236375, 240000, 241560, 242048, 244000, 245520, 247500, 248000, 249612, 251625, 255750, 257664, 261888, 264000, 268400, 272304, 272800, 274500, 279000, 283650, 288000, 292800, 297600, 301950, 302560, 305000, 306900, 310000, 312015, 316800, 322080, 327360, 330000, 332816, 335500, 340380, 341000, 343125, 348750, 351360, 352000, 357120, 360000, 363072, 366000, 372000, 374418, 378200, 383625, 386496, 390400, 392832, 396000, 402600, 409200, 416020, 419375, 425475, 426250, 429440, 436480, 439200, 440000, 446400, 453840, 457500, 465000, 472750, 480000, 483120, 484096, 488000, 491040, 495000, 496000, 499224, 503250, 511500, 515328, 520025, 528000, 536800, 544608, 545600, 549000, 558000, 567300, 585600, 595200, 603900, 605120, 610000, 613800, 620000, 624030, 633600, 639375, 644160, 654720, 660000, 665632, 671000, 680760, 682000, 686250, 697500, 702720, 709125, 720000, 726144, 732000, 744000, 748836, 754875, 756400, 767250, 772992, 785664, 792000, 805200, 818400, 832040, 838750, 850950, 852500, 858880, 878400, 880000, 892800, 907680, 915000, 930000, 936045, 945500, 966240, 976000, 982080, 990000, 992000, 998448, 1006500, 1023000, 1040050, 1056000, 1073600, 1089216, 1091200, 1098000, 1116000, 1134600, 1171200, 1181875, 1207800, 1210240, 1220000, 1227600, 1240000, 1248060, 1258125, 1278750, 1288320, 1309440, 1320000, 1331264, 1342000, 1361520, 1364000, 1372500, 1395000, 1418250, 1440000, 1452288, 1464000, 1488000, 1497672, 1509750, 1512800, 1534500, 1545984, 1560075, 1584000, 1610400, 1636800, 1664080, 1677500, 1701900, 1705000, 1756800, 1760000, 1785600, 1815360, 1830000, 1860000, 1872090, 1891000, 1918125, 1932480, 1952000, 1964160, 1980000, 1996896, 2013000, 2046000, 2080100, 2127375, 2147200, 2178432, 2182400, 2196000, 2232000, 2269200, 2363750, 2415600, 2420480, 2440000, 2455200, 2480000, 2496120, 2516250, 2557500, 2576640, 2600125, 2640000, 2662528, 2684000, 2723040, 2728000, 2745000, 2790000, 2836500, 2928000, 2976000, 2995344, 3019500, 3025600, 3069000, 3120150, 3168000, 3220800, 3273600, 3328160, 3355000, 3403800, 3410000, 3513600, 3545625, 3630720, 3660000, 3720000, 3744180, 3774375, 3782000, 3836250, 3864960, 3928320, 3960000, 3993792, 4026000, 4092000, 4160200, 4254750, 4294400, 4356864, 4392000, 4464000, 4538400, 4680225, 4727500, 4831200, 4880000, 4910400, 4960000, 4992240, 5032500, 5115000, 5200250, 5280000, 5325056, 5368000, 5446080, 5456000, 5490000, 5580000, 5673000, 5856000, 5990688, 6039000, 6051200, 6138000, 6240300, 6441600, 6547200, 6656320, 6710000, 6807600, 6820000, 7091250, 7261440, 7320000, 7440000, 7488360, 7548750, 7564000, 7672500, 7729920, 7800375, 7920000, 7987584, 8052000, 8184000, 8320400, 8509500, 8784000, 8928000, 9076800, 9360450, 9455000, 9662400, 9760000, 9820800, 9984480, 10065000, 10230000, 10400500, 10636875, 10736000, 10892160, 10912000, 10980000, 11160000, 11346000, 11981376, 12078000, 12102400, 12276000, 12480600, 12883200, 13000625, 13312640, 13420000, 13615200, 13640000, 14182500, 14640000, 14880000, 14976720, 15097500, 15128000, 15345000, 15600750, 15840000, 15975168, 16104000, 16368000, 16640800, 17019000, 17568000, 18153600, 18720900, 18910000, 19324800, 19641600, 19968960, 20130000, 20460000, 20801000, 21273750, 21472000, 21784320, 21960000, 22320000, 22692000, 23401125, 23962752, 24156000, 24552000, 24961200, 26001250, 26625280, 26840000, 27230400, 27280000, 28365000, 29280000, 29953440, 30195000, 30256000, 30690000, 31201500, 32208000, 32736000, 33281600, 34038000, 36307200, 37441800, 37820000, 38649600, 39001875, 39937920, 40260000, 40920000, 41602000, 42547500, 43920000, 44640000, 45384000, 46802250, 47925504, 48312000, 49104000, 49922400, 52002500, 53680000, 54460800, 54560000, 56730000, 59906880, 60390000, 60512000, 61380000, 62403000, 64416000, 66563200, 68076000, 74883600, 75640000, 78003750, 79875840, 80520000, 81840000, 83204000, 85095000, 87840000, 90768000, 93604500, 96624000, 98208000, 99844800, 104005000, 107360000, 108921600, 113460000, 117005625, 119813760, 120780000, 122760000, 124806000, 133126400, 136152000, 149767200, 151280000, 156007500, 161040000, 163680000, 166408000, 170190000, 181536000, 187209000, 193248000, 199689600, 208010000, 226920000, 234011250, 239627520, 241560000, 245520000, 249612000, 272304000, 299534400, 302560000, 312015000, 322080000, 332816000, 340380000, 374418000, 399379200, 416020000, 453840000, 468022500, 483120000, 491040000, 499224000, 544608000, 599068800, 624030000, 665632000, 680760000, 748836000, 832040000, 907680000, 936045000, 966240000, 998448000, 1198137600, 1248060000, 1361520000, 1497672000, 1664080000, 1872090000, 1996896000, 2496120000, 2723040000, 2995344000, 3328160000, 3744180000, 4992240000, 5990688000, 7488360000, 9984480000, 14976720000, 29953440000]

約数ペア:

[(1, 29953440000), (2, 14976720000), (3, 9984480000), (4, 7488360000), (5, 5990688000), (6, 4992240000), (8, 3744180000), (9, 3328160000), (10, 2995344000), (11, 2723040000), (12, 2496120000), (15, 1996896000), (16, 1872090000), (18, 1664080000), (20, 1497672000), (22, 1361520000), (24, 1248060000), (25, 1198137600), (30, 998448000), (31, 966240000), (32, 936045000), (33, 907680000), (36, 832040000), (40, 748836000), (44, 680760000), (45, 665632000), (48, 624030000), (50, 599068800), (55, 544608000), (60, 499224000), (61, 491040000), (62, 483120000), (64, 468022500), (66, 453840000), (72, 416020000), (75, 399379200), (80, 374418000), (88, 340380000), (90, 332816000), (93, 322080000), (96, 312015000), (99, 302560000), (100, 299534400), (110, 272304000), (120, 249612000), (122, 245520000), (124, 241560000), (125, 239627520), (128, 234011250), (132, 226920000), (144, 208010000), (150, 199689600), (155, 193248000), (160, 187209000), (165, 181536000), (176, 170190000), (180, 166408000), (183, 163680000), (186, 161040000), (192, 156007500), (198, 151280000), (200, 149767200), (220, 136152000), (225, 133126400), (240, 124806000), (244, 122760000), (248, 120780000), (250, 119813760), (256, 117005625), (264, 113460000), (275, 108921600), (279, 107360000), (288, 104005000), (300, 99844800), (305, 98208000), (310, 96624000), (320, 93604500), (330, 90768000), (341, 87840000), (352, 85095000), (360, 83204000), (366, 81840000), (372, 80520000), (375, 79875840), (384, 78003750), (396, 75640000), (400, 74883600), (440, 68076000), (450, 66563200), (465, 64416000), (480, 62403000), (488, 61380000), (495, 60512000), (496, 60390000), (500, 59906880), (528, 56730000), (549, 54560000), (550, 54460800), (558, 53680000), (576, 52002500), (600, 49922400), (610, 49104000), (620, 48312000), (625, 47925504), (640, 46802250), (660, 45384000), (671, 44640000), (682, 43920000), (704, 42547500), (720, 41602000), (732, 40920000), (744, 40260000), (750, 39937920), (768, 39001875), (775, 38649600), (792, 37820000), (800, 37441800), (825, 36307200), (880, 34038000), (900, 33281600), (915, 32736000), (930, 32208000), (960, 31201500), (976, 30690000), (990, 30256000), (992, 30195000), (1000, 29953440), (1023, 29280000), (1056, 28365000), (1098, 27280000), (1100, 27230400), (1116, 26840000), (1125, 26625280), (1152, 26001250), (1200, 24961200), (1220, 24552000), (1240, 24156000), (1250, 23962752), (1280, 23401125), (1320, 22692000), (1342, 22320000), (1364, 21960000), (1375, 21784320), (1395, 21472000), (1408, 21273750), (1440, 20801000), (1464, 20460000), (1488, 20130000), (1500, 19968960), (1525, 19641600), (1550, 19324800), (1584, 18910000), (1600, 18720900), (1650, 18153600), (1705, 17568000), (1760, 17019000), (1800, 16640800), (1830, 16368000), (1860, 16104000), (1875, 15975168), (1891, 15840000), (1920, 15600750), (1952, 15345000), (1980, 15128000), (1984, 15097500), (2000, 14976720), (2013, 14880000), (2046, 14640000), (2112, 14182500), (2196, 13640000), (2200, 13615200), (2232, 13420000), (2250, 13312640), (2304, 13000625), (2325, 12883200), (2400, 12480600), (2440, 12276000), (2475, 12102400), (2480, 12078000), (2500, 11981376), (2640, 11346000), (2684, 11160000), (2728, 10980000), (2745, 10912000), (2750, 10892160), (2790, 10736000), (2816, 10636875), (2880, 10400500), (2928, 10230000), (2976, 10065000), (3000, 9984480), (3050, 9820800), (3069, 9760000), (3100, 9662400), (3168, 9455000), (3200, 9360450), (3300, 9076800), (3355, 8928000), (3410, 8784000), (3520, 8509500), (3600, 8320400), (3660, 8184000), (3720, 8052000), (3750, 7987584), (3782, 7920000), (3840, 7800375), (3875, 7729920), (3904, 7672500), (3960, 7564000), (3968, 7548750), (4000, 7488360), (4026, 7440000), (4092, 7320000), (4125, 7261440), (4224, 7091250), (4392, 6820000), (4400, 6807600), (4464, 6710000), (4500, 6656320), (4575, 6547200), (4650, 6441600), (4800, 6240300), (4880, 6138000), (4950, 6051200), (4960, 6039000), (5000, 5990688), (5115, 5856000), (5280, 5673000), (5368, 5580000), (5456, 5490000), (5490, 5456000), (5500, 5446080), (5580, 5368000), (5625, 5325056), (5673, 5280000), (5760, 5200250), (5856, 5115000), (5952, 5032500), (6000, 4992240), (6039, 4960000), (6100, 4910400), (6138, 4880000), (6200, 4831200), (6336, 4727500), (6400, 4680225), (6600, 4538400), (6710, 4464000), (6820, 4392000), (6875, 4356864), (6975, 4294400), (7040, 4254750), (7200, 4160200), (7320, 4092000), (7440, 4026000), (7500, 3993792), (7564, 3960000), (7625, 3928320), (7750, 3864960), (7808, 3836250), (7920, 3782000), (7936, 3774375), (8000, 3744180), (8052, 3720000), (8184, 3660000), (8250, 3630720), (8448, 3545625), (8525, 3513600), (8784, 3410000), (8800, 3403800), (8928, 3355000), (9000, 3328160), (9150, 3273600), (9300, 3220800), (9455, 3168000), (9600, 3120150), (9760, 3069000), (9900, 3025600), (9920, 3019500), (10000, 2995344), (10065, 2976000), (10230, 2928000), (10560, 2836500), (10736, 2790000), (10912, 2745000), (10980, 2728000), (11000, 2723040), (11160, 2684000), (11250, 2662528), (11346, 2640000), (11520, 2600125), (11625, 2576640), (11712, 2557500), (11904, 2516250), (12000, 2496120), (12078, 2480000), (12200, 2455200), (12276, 2440000), (12375, 2420480), (12400, 2415600), (12672, 2363750), (13200, 2269200), (13420, 2232000), (13640, 2196000), (13725, 2182400), (13750, 2178432), (13950, 2147200), (14080, 2127375), (14400, 2080100), (14640, 2046000), (14880, 2013000), (15000, 1996896), (15128, 1980000), (15250, 1964160), (15345, 1952000), (15500, 1932480), (15616, 1918125), (15840, 1891000), (16000, 1872090), (16104, 1860000), (16368, 1830000), (16500, 1815360), (16775, 1785600), (17019, 1760000), (17050, 1756800), (17568, 1705000), (17600, 1701900), (17856, 1677500), (18000, 1664080), (18300, 1636800), (18600, 1610400), (18910, 1584000), (19200, 1560075), (19375, 1545984), (19520, 1534500), (19800, 1512800), (19840, 1509750), (20000, 1497672), (20130, 1488000), (20460, 1464000), (20625, 1452288), (20801, 1440000), (21120, 1418250), (21472, 1395000), (21824, 1372500), (21960, 1364000), (22000, 1361520), (22320, 1342000), (22500, 1331264), (22692, 1320000), (22875, 1309440), (23250, 1288320), (23424, 1278750), (23808, 1258125), (24000, 1248060), (24156, 1240000), (24400, 1227600), (24552, 1220000), (24750, 1210240), (24800, 1207800), (25344, 1181875), (25575, 1171200), (26400, 1134600), (26840, 1116000), (27280, 1098000), (27450, 1091200), (27500, 1089216), (27900, 1073600), (28365, 1056000), (28800, 1040050), (29280, 1023000), (29760, 1006500), (30000, 998448), (30195, 992000), (30256, 990000), (30500, 982080), (30690, 976000), (31000, 966240), (31680, 945500), (32000, 936045), (32208, 930000), (32736, 915000), (33000, 907680), (33550, 892800), (34038, 880000), (34100, 878400), (34875, 858880), (35136, 852500), (35200, 850950), (35712, 838750), (36000, 832040), (36600, 818400), (37200, 805200), (37820, 792000), (38125, 785664), (38750, 772992), (39040, 767250), (39600, 756400), (39680, 754875), (40000, 748836), (40260, 744000), (40920, 732000), (41250, 726144), (41602, 720000), (42240, 709125), (42625, 702720), (42944, 697500), (43648, 686250), (43920, 682000), (44000, 680760), (44640, 671000), (45000, 665632), (45384, 660000), (45750, 654720), (46500, 644160), (46848, 639375), (47275, 633600), (48000, 624030), (48312, 620000), (48800, 613800), (49104, 610000), (49500, 605120), (49600, 603900), (50325, 595200), (51150, 585600), (52800, 567300), (53680, 558000), (54560, 549000), (54900, 545600), (55000, 544608), (55800, 536800), (56730, 528000), (57600, 520025), (58125, 515328), (58560, 511500), (59520, 503250), (60000, 499224), (60390, 496000), (60512, 495000), (61000, 491040), (61380, 488000), (61875, 484096), (62000, 483120), (62403, 480000), (63360, 472750), (64416, 465000), (65472, 457500), (66000, 453840), (67100, 446400), (68076, 440000), (68200, 439200), (68625, 436480), (69750, 429440), (70272, 426250), (70400, 425475), (71424, 419375), (72000, 416020), (73200, 409200), (74400, 402600), (75640, 396000), (76250, 392832), (76725, 390400), (77500, 386496), (78080, 383625), (79200, 378200), (80000, 374418), (80520, 372000), (81840, 366000), (82500, 363072), (83204, 360000), (83875, 357120), (85095, 352000), (85250, 351360), (85888, 348750), (87296, 343125), (87840, 341000), (88000, 340380), (89280, 335500), (90000, 332816), (90768, 330000), (91500, 327360), (93000, 322080), (94550, 316800), (96000, 312015), (96624, 310000), (97600, 306900), (98208, 305000), (99000, 302560), (99200, 301950), (100650, 297600), (102300, 292800), (104005, 288000), (105600, 283650), (107360, 279000), (109120, 274500), (109800, 272800), (110000, 272304), (111600, 268400), (113460, 264000), (114375, 261888), (116250, 257664), (117120, 255750), (119040, 251625), (120000, 249612), (120780, 248000), (121024, 247500), (122000, 245520), (122760, 244000), (123750, 242048), (124000, 241560), (124806, 240000), (126720, 236375), (127875, 234240), (128832, 232500), (130944, 228750), (132000, 226920), (134200, 223200), (136152, 220000), (136400, 219600), (137250, 218240), (139500, 214720), (140544, 213125), (141825, 211200), (144000, 208010), (146400, 204600), (148800, 201300), (150975, 198400), (151280, 198000), (152500, 196416), (153450, 195200), (155000, 193248), (158400, 189100), (160000, 187209), (161040, 186000), (163680, 183000), (165000, 181536), (166408, 180000), (167750, 178560), (170190, 176000), (170500, 175680), (171776, 174375)]