13834949328000
13,834,949,328,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13834949328000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
13834949328000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13834949328000:
27 × 32 × 53 × 23 × 31 × 472 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 23 × 31 × 47 × 47 × 61)See below for interesting mathematical facts about the number 13834949328000 from the Numbermatics database.
Names of 13834949328000
- Cardinal: 13834949328000 can be written as Thirteen trillion, eight hundred thirty-four billion, nine hundred forty-nine million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3834949328 × 1013
Factors of 13834949328000
Divisors of 13834949328000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 31 32 36 40 45 46 47 48 50 60 61 62 64 69 72 75 80 90 92 93 94 96 100 115 120 122 124 125 128 138 141 144 150 155 160 180 183 184 186 188 192 200 207 225 230 235 240 244 248 250 276 279 282 288 300 305 310 320 345 360 366 368 372 375 376 384 400 414 423 450 460 465 470 480 488 496 500 549 552 558 564 575 576 600 610 620 640 690 705 713 720 732 736 744 750 752 775 800 828 846 900 915 920 930 940 960 976 992 1000 1035 1081 1098 1104 1116 1125 1128 1150 1152 1175 1200 1220 1240 1380 1395 1403 1410 1426 1440 1457 1464 1472 1488 1500 1504 1525 1550 1600 1656 1692 1725 1800 1830 1840 1860 1880 1891 1920 1952 1984 2000 2070 2115 2139 2162 2196 2208 2209 2232 2250 2256 2300 2325 2350 2400 2440 2480 2745 2760 2790 2806 2820 2852 2867 2875 2880 2914 2928 2944 2976 3000 3008 3050 3100 3200 3243 3312 3384 3450 3525 3565 3600 3660 3680 3720 3760 3782 3875 3904 3968 4000 4140 4209 4230 4278 4324 4371 4392 4416 4418 4464 4500 4512 4575 4600 4650 4700 4800 4880 4960 5175 5405 5490 5520 5580 5612 5640 5673 5704 5734 5750 5760 5828 5856 5875 5952 6000 6016 6100 6200 6417 6486 6624 6627 6768 6900 6975 7015 7050 7130 7200 7285 7320 7360 7440 7520 7564 7625 7750 7808 8000 8280 8418 8460 8556 8601 8625 8648 8742 8784 8832 8836 8928 9000 9024 9150 9200 9300 9400 9455 9600 9729 9760 9920 10350 10575 10695 10810 10980 11040 11045 11160 11224 11280 11346 11408 11468 11500 11625 11656 11712 11750 11904 12000 12200 12400 12627 12834 12972 13113 13248 13254 13536 13725 13800 13950 14030 14100 14260 14335 14400 14570 14640 14720 14880 15040 15128 15250 15500 16000 16215 16560 16836 16920 17019 17112 17202 17250 17296 17484 17568 17625 17672 17825 17856 18000 18048 18300 18400 18600 18800 18910 19458 19520 19840 19881 20700 21045 21150 21390 21620 21855 21960 22080 22090 22320 22448 22560 22692 22816 22875 22936 23000 23250 23312 23424 23500 24000 24400 24800 25254 25668 25803 25875 25944 26226 26496 26508 27025 27072 27450 27600 27900 28060 28200 28365 28520 28670 28800 29140 29280 29760 30080 30256 30500 31000 32085 32430 33120 33135 33511 33672 33840 34038 34224 34404 34500 34592 34875 34968 35075 35136 35250 35344 35650 35712 36000 36425 36600 36800 37200 37600 37820 38916 39040 39762 41400 42090 42300 42780 43005 43240 43493 43710 43920 44160 44180 44640 44896 45120 45384 45632 45750 45872 46000 46500 46624 47000 47275 48000 48645 48800 49600 50508 50807 51336 51606 51750 51888 52452 52875 53016 53475 54050 54144 54900 55200 55225 55800 56120 56400 56730 57040 57340 58280 58560 59520 60512 61000 62000 63135 64170 64860 65565 65941 66240 66270 67022 67344 67680 68076 68448 68479 68625 68808 69000 69184 69750 69936 70150 70272 70500 70688 71300 71675 72000 72850 73200 73600 74400 75200 75640 77832 79524 81075 82800 84180 84600 85095 85560 86010 86480 86986 87420 87840 88360 88877 89125 89280 89792 90240 90768 91264 91500 91744 92000 93000 93248 94000 94550 97290 97600 99200 99405 100533 101016 101614 102672 103212 103500 103776 104904 105225 105750 106032 106950 108100 109275 109800 110400 110450 111600 112240 112800 113460 114080 114680 116560 117120 121024 122000 124000 126270 128340 129015 129720 130479 131130 131882 132480 132540 134044 134688 134749 135125 135360 136152 136896 136958 137250 137616 138000 138368 139500 139872 140300 141000 141376 141825 142600 143350 144000 145700 146400 148800 150400 151280 152421 155664 159048 160425 162150 165600 165675 167555 168360 169200 170190 171120 172020 172960 173972 174840 175375 175680 176720 177754 178250 178560 179584 181536 182125 183000 183488 184000 186000 186496 188000 189100 194580 195200 197823 198810 201066 202032 203228 205344 205437 206424 207000 207552 209808 210450 211500 212064 213900 215025 216200 217465 218550 219600 220800 220900 223200 224480 225600 226920 228160 229360 233120 236375 242048 243225 244000 248000 252540 254035 256680 258030 259440 260958 262260 263764 265080 266631 267375 268088 269376 269498 270250 270720 272304 273792 273916 274500 275232 276000 276125 279000 279744 280600 282000 282752 283650 285200 286700 291400 292800 297600 301599 302560 304842 311328 315675 318096 320850 324300 327825 329705 331200 331350 335110 336720 338400 340380 342240 342395 344040 345920 347944 349680 350750 351360 353440 355508 356500 358375 363072 364250 366000 366976 368000 372000 376000 378200 389160 391437 395646 397620 402132 404064 404247 405375 406456 410688 410874 412848 414000 415104 419616 420900 423000 424128 425475 427800 430050 432400 434930 437100 439200 441800 444385 446400 448960 451200 453840 456320 457263 458720 466240 472750 486450 488000 496000 497025 502665 505080 508070 513360 516060 518880 521916 524520 526125 527528 530160 533262 534750 536176 538752 538996 540500 544608 546375 547832 549000 550464 552000 552250 558000 559488 561200 564000 567300 570400 573400 582800 585600 593469 603198 605120 609684 616311 622656 631350 636192 641700 645075 648600 652395 655650 659410 662400 662700 670220 673440 673745 676800 680760 684480 684790 688080 691840 695888 699360 701500 706880 709125 711016 713000 716750 726144 728500 732000 744000 752000 756400 762105 778320 782874 791292 795240 799893 802125 804264 808128 808494 810750 812912 821376 821748 825696 828000 828375 837775 839232 841800 846000 848256 850950 855600 860100 864800 869860 874200 878400 883600 888770 892800 897920 907680 914526 917440 932480 945500 972900 976000 989115 994050 1005330 1010160 1016140 1026720 1027185 1032120 1037760 1043832 1049040 1052250 1055056 1060320 1066524 1069500 1072352 1075125 1077992 1081000 1087325 1089216 1092750 1095664 1098000 1100928 1104000 1104500 1116000 1122400 1128000 1134600 1140800 1146800 1165600 1186938 1206396 1210240 1212741 1216125 1219368 1232622 1245312 1262700 1270175 1272384 1283400 1290150 1297200 1304790 1311300 1318820 1325400 1333155 1340440 1346880 1347490 1353600 1361520 1368960 1369580 1376160 1391776 1398720 1403000 1413760 1418250 1422032 1426000 1433500 1457000 1464000 1488000 1507995 1512800 1524210 1556640 1565748 1575017 1578375 1582584 1590480 1599786 1604250 1608528 1616256 1616988 1621500 1625824 1639125 1643496 1648525 1651392 1656000 1656750 1675550 1678464 1683600 1692000 1701900 1711200 1711975 1720200 1729600 1739720 1748400 1756800 1767200 1777540 1815360 1829052 1834880 1891000 1945800 1957185 1978230 1988100 2010660 2020320 2021235 2032280 2044171 2053440 2054370 2064240 2075520 2087664 2098080 2104500 2110112 2120640 2127375 2133048 2139000 2144704 2150250 2155984 2162000 2174650 2178432 2185500 2191328 2196000 2209000 2221925 2232000 2244800 2256000 2269200 2281600 2286315 2293600 2331200 2373876 2412792 2425482 2432250 2438736 2465244 2485125 2513325 2525400 2540350 2544768 2566800 2580300 2594400 2609580 2622600 2637640 2650800 2666310 2680880 2693760 2694980 2723040 2739160 2752320 2783552 2797440 2806000 2836500 2844064 2852000 2867000 2914000 2928000 2967345 3015990 3025600 3048420 3081555 3099227 3113280 3131496 3150034 3156750 3165168 3180960 3199572 3208500 3217056 3225375 3233976 3243000 3251648 3261975 3278250 3286992 3297050 3302784 3312000 3313500 3351100 3367200 3368725 3384000 3403800 3422400 3423950 3440400 3459200 3479440 3496800 3534400 3555080 3630720 3658104 3782000 3810525 3891600 3914370 3956460 3976200 3999465 4021320 4040640 4042470 4064560 4088342 4106880 4108740 4128480 4175328 4177219 4188875 4196160 4209000 4220224 4241280 4254750 4266096 4278000 4289408 4300500 4311968 4324000 4349300 4371000 4382656 4392000 4418000 4443850 4464000 4489600 4538400 4572630 4587200 4662400 4725051 4747752 4825584 4850964 4864500 4877472 4930488 4945575 4970250 5026650 5050800 5080700 5133600 5135925 5160600 5188800 5219160 5245200 5275280 5301600 5332620 5361760 5389960 5436625 5446080 5478320 5504640 5567104 5612000 5673000 5688128 5704000 5734000 5828000 5934690 6031980 6051200 6063705 6096840 6132513 6163110 6198454 6226560 6262992 6300068 6313500 6330336 6350875 6361920 6399144 6417000 6434112 6450750 6467952 6486000 6503296 6523950 6556500 6573984 6594100 6627000 6665775 6702200 6734400 6737450 6768000 6807600 6844800 6847900 6880800 6958880 6993600 7068800 7110160 7316208 7539975 7564000 7621050 7783200 7828740 7875085 7912920 7952400 7998930 8042640 8081280 8084940 8129120 8176684 8217480 8242625 8256960 8350656 8354438 8377750 8392320 8418000 8440448 8509500 8532192 8556000 8559875 8601000 8623936 8648000 8698600 8742000 8765312 8784000 8836000 8887700 9076800 9145260 9174400 9297681 9450102 9495504 9651168 9701928 9729000 9754944 9785925 9860976 9891150 9940500 10053300 10101600 10106175 10161400 10220855 10267200 10271850 10321200 10377600 10438320 10490400 10550560 10603200 10665240 10723520 10779920 10873250 10892160 10956640 11109625 11224000 11346000 11376256 11408000 11431575 11468000 11656000 11869380 12063960 12127410 12193680 12265026 12326220 12396908 12525984 12531657 12566625 12600136 12627000 12660672 12701750 12723840 12798288 12834000 12868224 12901500 12935904 12972000 13047900 13113000 13147968 13188200 13254000 13331550 13404400 13468800 13474900 13615200 13695800 13761600 13917760 13987200 14175153 14220320 14632416 14836725 15079950 15128000 15242100 15407775 15496135 15566400 15657480 15750170 15825840 15904800 15997860 16085280 16169880 16258240 16309875 16353368 16434960 16485250 16513920 16701312 16708876 16755500 16836000 16843625 17019000 17064384 17112000 17119750 17202000 17247872 17296000 17397200 17484000 17672000 17775400 18153600 18290520 18397539 18595362 18900204 18991008 19052625 19302336 19403856 19458000 19509888 19571850 19721952 19782300 19881000 19997325 20106600 20203200 20212350 20322800 20441710 20534400 20543700 20642400 20876640 20886095 20980800 21101120 21206400 21330480 21447040 21559840 21746500 21913280 22219250 22448000 22692000 22863150 22936000 23312000 23625255 23738760 24127920 24254820 24387360 24530052 24652440 24727875 24793816 25051968 25063314 25133250 25200272 25254000 25321344 25403500 25596576 25668000 25679625 25803000 25871808 25944000 26095800 26226000 26295936 26376400 26508000 26663100 26808800 26949800 27230400 27391600 27523200 27835520 27893043 28350306 28440640 29264832 29673450 30159900 30256000 30318525 30484200 30662565 30815550 30992270 31132800 31314960 31500340 31651680 31809600 31995720 32170560 32339760 32516480 32619750 32706736 32869920 32970500 33328875 33417752 33511000 33672000 33687250 34038000 34128768 34224000 34239500 34404000 34794400 34968000 35344000 35550800 36581040 36795078 37190724 37594971 37699875 37800408 37982016 38105250 38604672 38807712 38916000 39143700 39375425 39443904 39564600 39762000 39994650 40213200 40406400 40424700 40645600 40883420 41087400 41284800 41753280 41772190 41961600 42202240 42660960 43119680 43493000 43826560 44438500 45384000 45726300 45872000 46488405 47250510 47477520 48255840 48509640 48774720 48929625 49060104 49304880 49455750 49587632 50103936 50126628 50266500 50400544 50508000 50530875 50807000 51104275 51193152 51336000 51359250 51606000 51743616 51888000 52191600 52452000 52752800 53016000 53326200 53617600 53899600 54460800 54783200 55786086 56700612 56881280 57157875 58529664 59346900 60319800 60637050 60968400 61325130 61631100 61984540 62629920 62658285 63000680 63303360 63619200 63991440 64341120 64679520 65239500 65413472 65739840 65941000 66657750 66835504 67022000 67344000 67374500 68076000 68479000 68808000 69588800 69936000 70875765 71101600 73162080 73590156 74183625 74381448 75189942 75399750 75600816 75964032 76210500 77038875 77480675 77615424 77832000 78287400 78750850 78887808 79129200 79524000 79989300 80426400 80849400 81291200 81766840 82174800 82569600 83506560 83544380 85321920 86239360 86986000 88877000 90768000 91452600 91987695 92976810 94501020 94955040 96076037 96511680 97019280 97549440 97859250 98120208 98609760 98911500 99175264 99986625 100253256 100533000 100801088 101016000 101061750 101614000 102208550 102386304 102672000 102718500 103212000 104383200 104430475 104904000 105505600 106032000 106652400 107235200 107799200 109566400 111572172 113401224 114315750 118126275 118693800 120639600 121274100 121936800 122650260 123262200 123969080 125259840 125316570 126001360 126606720 127982880 129359040 130479000 130826944 131479680 131882000 133315500 133671008 134044000 134749000 136152000 136958000 137616000 139177600 139465215 141751530 142203200 146324160 147180312 148367250 148762896 150379884 150799500 151201632 151592625 152421000 153312825 154077750 154961350 155230848 155664000 156574800 157501700 158258400 159048000 159978600 160852800 161698800 162582400 163533680 164349600 167088760 170643840 173972000 177754000 182905200 183975390 185953620 187974855 189002040 189910080 192152074 193023360 194038560 195718500 196240416 196877125 197219520 197823000 198350528 199973250 200506512 201066000 201602176 202032000 202123500 203228000 204417100 205437000 206424000 208766400 208860950 209808000 211011200 213304800 215598400 219132800 223144344 226802448 228631500 232442025 236252550 237387600 241279200 242548200 243873600 245300520 246524400 247938160 250519680 250633140 252002720 255521375 255965760 258718080 260958000 261653888 263764000 266631000 267342016 268088000 269498000 272304000 273916000 278930430 283503060 284406400 288228111 292648320 294360624 296734500 297525792 300759768 301599000 302403264 303185250 304842000 306625650 308155500 309922700 313149600 313291425 315003400 316516800 318096000 319957200 321705600 323397600 327067360 328699200 334177520 347944000 354378825 355508000 365810400 367950780 371907240 375949710 378004080 379820160 384304148 387403375 388077120 391437000 392480832 393754250 394439040 395646000 396701056 399946500 401013024 402132000 404247000 406456000 408834200 410874000 412848000 417532800 417721900 426609600 431196800 446288688 453604896 457263000 459938475 464884050 472505100 474775200 480380185 482558400 485096400 487747200 490601040 493048800 495876320 501266280 504005440 511042750 511931520 521916000 522152375 527528000 533262000 534684032 536176000 538996000 547832000 557860860 567006120 576456222 588721248 590631375 593469000 595051584 601519536 603198000 604806528 606370500 609684000 613251300 616311000 619845400 626299200 626582850 630006800 633033600 639914400 646795200 654134720 657398400 668355040 695888000 697326075 708757650 711016000 731620800 735901560 743814480 751899420 756008160 766564125 768608296 774806750 776154240 782874000 784961664 787508500 791292000 799893000 802026048 804264000 808494000 812912000 817668400 821748000 835443800 853219200 864684333 892577376 907209792 914526000 919876950 929768100 939874275 945010200 949550400 960760370 965116800 970192800 981202080 986097600 991752640 1002532560 1008010880 1022085500 1043832000 1044304750 1055056000 1066524000 1077992000 1095664000 1115721720 1134012240 1152912444 1162210125 1177442496 1181262750 1186938000 1190103168 1203039072 1206396000 1212741000 1219368000 1226502600 1232622000 1239690800 1252598400 1253165700 1260013600 1279828800 1293590400 1308269440 1336710080 1394652150 1417515300 1422032000 1441140555 1463241600 1471803120 1487628960 1503798840 1512016320 1533128250 1537216592 1549613500 1565748000 1566457125 1575017000 1582584000 1599786000 1604052096 1608528000 1616988000 1635336800 1643496000 1670887600 1729368666 1771894125 1785154752 1814419584 1829052000 1839753900 1859536200 1879748550 1890020400 1899100800 1921520740 1940385600 1962404160 1972195200 1983505280 2005065120 2044171000 2087664000 2088609500 2133048000 2155984000 2231443440 2268024480 2299692375 2305824888 2324420250 2354884992 2362525500 2373876000 2401900925 2406078144 2412792000 2425482000 2438736000 2453005200 2465244000 2479381600 2506331400 2520027200 2559657600 2673420160 2789304300 2835030600 2882281110 2943606240 2975257920 3007597680 3024032640 3066256500 3074433184 3099227000 3131496000 3132914250 3150034000 3165168000 3199572000 3233976000 3270673600 3286992000 3341775200 3458737332 3486630375 3543788250 3570309504 3658104000 3679507800 3719072400 3759497100 3780040800 3843041480 3880771200 3924808320 4010130240 4088342000 4177219000 4266096000 4323421665 4462886880 4536048960 4599384750 4611649776 4648840500 4699371375 4725051000 4747752000 4803801850 4812156288 4825584000 4850964000 4906010400 4930488000 4958763200 5012662800 5040054400 5578608600 5670061200 5764562220 5887212480 5950515840 6015195360 6132513000 6148866368 6198454000 6262992000 6265828500 6300068000 6399144000 6467952000 6541347200 6683550400 6917474664 6973260750 7087576500 7205702775 7316208000 7359015600 7438144800 7518994200 7560081600 7686082960 8020260480 8176684000 8354438000 8646843330 8925773760 9072097920 9198769500 9223299552 9297681000 9398742750 9450102000 9495504000 9607603700 9701928000 9812020800 9860976000 9917526400 10025325600 11157217200 11340122400 11529124440 11774424960 12009504625 12030390720 12265026000 12297732736 12396908000 12531657000 12600136000 12798288000 13367100800 13834949328 13946521500 14175153000 14411405550 14718031200 14876289600 15037988400 15120163200 15372165920 16353368000 16708876000 17293686660 17851547520 18397539000 18446599104 18595362000 18797485500 18900204000 19215207400 19403856000 19624041600 20050651200 21617108325 22314434400 22680244800 23058248880 24019009250 24060781440 24530052000 24793816000 25063314000 25200272000 27669898656 27893043000 28350306000 28822811100 29436062400 29752579200 30075976800 30744331840 32706736000 33417752000 34587373320 36028513875 36795078000 36893198208 37190724000 37594971000 37800408000 38430414800 40101302400 43234216650 44628868800 45360489600 46116497760 48038018500 49060104000 49587632000 50126628000 55339797312 55786086000 56700612000 57645622200 58872124800 60151953600 61488663680 66835504000 69174746640 72057027750 73590156000 74381448000 75189942000 75600816000 76860829600 86468433300 89257737600 92232995520 96076037000 98120208000 100253256000 108085541625 110679594624 111572172000 113401224000 115291244400 120303907200 138349493280 144114055500 147180312000 148762896000 150379884000 153721659200 172936866600 184465991040 192152074000 200506512000 216171083250 223144344000 226802448000 230582488800 276698986560 288228111000 294360624000 300759768000 307443318400 345873733200 384304148000 432342166500 446288688000 461164977600 553397973120 576456222000 601519536000 691747466400 768608296000 864684333000 922329955200 1152912444000 1383494932800 1537216592000 1729368666000 2305824888000 2766989865600 3458737332000 4611649776000 6917474664000 13834949328000
- Sum of all divisors σ(n): 55576680007680
- Sum of proper divisors (its aliquot sum) s(n): 41741730679680
- 13834949328000 is an abundant number, because the sum of its proper divisors (41741730679680) is greater than itself. Its abundance is 27906781351680
Bases of 13834949328000
- Binary: 110010010101001100110011110101111100100000002
- Hexadecimal: 0xC95333D7C80
- Base-36: 4WJORME80
Squares and roots of 13834949328000
- 13834949328000 squared (138349493280002) is 191405822908327651584000000
- 13834949328000 cubed (138349493280003) is 2648089861020854648885878935552000000000
-
The
square root of 13834949328000 is 3719536.1710837011 -
The
cube root of 13834949328000 is 24006.3347444785
Scales and comparisons
How big is 13834949328000?- 13,834,949,328,000 seconds is equal to 439,908 years, 30 weeks, 6 days, 8 hours.
-
To count from 1 to 13,834,949,328,000 would take you about one million, ninety-nine thousand, seven hundred seventy-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13834949328000 cubic inches would be around 2000.5 feet tall.
Recreational maths with 13834949328000
- 13834949328000 backwards is 00082394943831
- The number of decimal digits it has is: 14
- The sum of 13834949328000's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13834949328000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 13834949328000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/13834949328000/
Chicago style:
Numbermatics. 2024. "Number 13834949328000 - Facts about the integer". https://numbermatics.com/n/13834949328000/
The information we have on file for 13834949328000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 13834949328000, math, Factors of 13834949328000, curriculum, school, college, exams, university, Prime factorization of 13834949328000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, eight hundred thirty-four billion, nine hundred forty-nine million, three hundred twenty-eight thousand.