13478048064000
13,478,048,064,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13478048064000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
13478048064000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13478048064000:
29 × 32 × 53 × 13 × 312 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 31 × 31 × 1873)See below for interesting mathematical facts about the number 13478048064000 from the Numbermatics database.
Names of 13478048064000
- Cardinal: 13478048064000 can be written as Thirteen trillion, four hundred seventy-eight billion, forty-eight million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.3478048064 × 1013
Factors of 13478048064000
Divisors of 13478048064000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 31 32 36 39 40 45 48 50 52 60 62 64 65 72 75 78 80 90 93 96 100 104 117 120 124 125 128 130 144 150 155 156 160 180 186 192 195 200 208 225 234 240 248 250 256 260 279 288 300 310 312 320 325 360 372 375 384 390 400 403 416 450 465 468 480 496 500 512 520 558 576 585 600 620 624 640 650 720 744 750 768 775 780 800 806 832 900 930 936 960 961 975 992 1000 1040 1116 1125 1152 1170 1200 1209 1240 1248 1280 1300 1395 1440 1488 1500 1536 1550 1560 1600 1612 1625 1664 1800 1860 1872 1873 1920 1922 1950 1984 2000 2015 2080 2232 2250 2304 2325 2340 2400 2418 2480 2496 2560 2600 2790 2880 2883 2925 2976 3000 3100 3120 3200 3224 3250 3328 3600 3627 3720 3744 3746 3840 3844 3875 3900 3968 4000 4030 4160 4464 4500 4608 4650 4680 4800 4805 4836 4875 4960 4992 5200 5580 5619 5760 5766 5850 5952 6000 6045 6200 6240 6400 6448 6500 6656 6975 7200 7254 7440 7488 7492 7680 7688 7750 7800 7936 8000 8060 8320 8649 8928 9000 9300 9360 9365 9600 9610 9672 9750 9920 9984 10075 10400 11160 11238 11520 11532 11625 11700 11904 12000 12090 12400 12480 12493 12800 12896 13000 13950 14400 14415 14508 14625 14880 14976 14984 15376 15500 15600 15872 16000 16120 16640 16857 17298 17856 18000 18135 18600 18720 18730 19200 19220 19344 19500 19840 19968 20150 20800 22320 22476 23040 23064 23250 23400 23808 24000 24025 24180 24349 24800 24960 24986 25792 26000 27900 28095 28800 28830 29016 29250 29760 29952 29968 30225 30752 31000 31200 32000 32240 33280 33714 34596 34875 35712 36000 36270 37200 37440 37460 37479 38400 38440 38688 39000 39680 40300 41600 43245 44640 44952 46128 46500 46800 46825 47616 48000 48050 48360 48698 49600 49920 49972 50375 51584 52000 55800 56190 57600 57660 58032 58063 58500 59520 59904 59936 60450 61504 62000 62400 62465 64000 64480 67428 69192 69750 71424 72000 72075 72540 73047 74400 74880 74920 74958 76880 77376 78000 79360 80600 83200 84285 86490 89280 89904 90675 92256 93000 93600 93650 96000 96100 96720 97396 99200 99840 99944 100750 103168 104000 111600 112380 112437 115200 115320 116064 116126 117000 119040 119872 120125 120900 121745 123008 124000 124800 124930 128960 134856 138384 139500 140475 142848 144000 144150 145080 146094 148800 149760 149840 149916 151125 153760 154752 156000 161200 166400 168570 172980 174189 178560 179808 181350 184512 186000 187200 187300 187395 192000 192200 193440 194792 198400 199888 201500 206336 208000 216225 219141 223200 224760 224874 230640 232128 232252 234000 234125 238080 239744 240250 241800 243490 246016 248000 249600 249860 257920 269712 276768 279000 280950 288000 288300 290160 290315 292188 297600 299520 299680 299832 302250 307520 309504 312000 312325 322400 337140 345960 348378 357120 359616 360375 362700 365235 369024 372000 374400 374600 374790 384400 386880 389584 396800 399776 403000 416000 421425 432450 438282 446400 449520 449748 453375 461280 464256 464504 468000 468250 479488 480500 483600 486980 492032 496000 499200 499720 515840 522567 539424 553536 558000 561900 562185 576000 576600 580320 580630 584376 595200 599360 599664 604500 608725 615040 619008 624000 624650 644800 674280 691920 696756 702375 714240 719232 720750 725400 730470 738048 744000 748800 749200 749580 754819 768800 773760 779168 799552 806000 832000 842850 864900 870945 876564 892800 899040 899496 906750 922560 928512 929008 936000 936500 936975 958976 961000 967200 973960 992000 999440 1031680 1045134 1078848 1081125 1095705 1107072 1116000 1123800 1124370 1153200 1160640 1161260 1168752 1190400 1198720 1199328 1209000 1217450 1230080 1248000 1249300 1289600 1348560 1383840 1393512 1404750 1438464 1441500 1450800 1451575 1460940 1476096 1488000 1497600 1498400 1499160 1509638 1537600 1547520 1558336 1561625 1599104 1612000 1685700 1729800 1741890 1753128 1785600 1798080 1798992 1799953 1813500 1826175 1845120 1857024 1858016 1872000 1873000 1873950 1922000 1934400 1947920 1984000 1998880 2090268 2107125 2157696 2162250 2191410 2214144 2232000 2247600 2248740 2264457 2306400 2321280 2322520 2337504 2397440 2398656 2418000 2434900 2460160 2496000 2498600 2579200 2612835 2697120 2767680 2787024 2809500 2810925 2876928 2883000 2901600 2903150 2921880 2976000 2996800 2998320 3019276 3043625 3075200 3095040 3116672 3123250 3198208 3224000 3371400 3459600 3483780 3506256 3571200 3596160 3597984 3599906 3627000 3652350 3690240 3716032 3744000 3746000 3747900 3774095 3844000 3868800 3895840 3997760 4180536 4214250 4315392 4324500 4354725 4382820 4428288 4464000 4495200 4497480 4528914 4612800 4642560 4645040 4675008 4684875 4794880 4797312 4836000 4869800 4997200 5158400 5225670 5394240 5399859 5478525 5535360 5574048 5619000 5621850 5766000 5803200 5806300 5843760 5952000 5993600 5996640 6038552 6087250 6150400 6233344 6246500 6396416 6448000 6742800 6793371 6919200 6967560 7012512 7192320 7195968 7199812 7254000 7257875 7304700 7380480 7432064 7488000 7492000 7495800 7548190 7688000 7737600 7791680 7995520 8361072 8428500 8630784 8649000 8709450 8765640 8928000 8990400 8994960 8999765 9057828 9130875 9225600 9285120 9290080 9350016 9369750 9594624 9672000 9739600 9994400 10451340 10788480 10799718 10957050 11070720 11148096 11238000 11243700 11322285 11532000 11606400 11612600 11687520 11987200 11993280 12077104 12174500 12300800 12466688 12493000 12896000 13064175 13485600 13586742 13838400 13935120 14025024 14054625 14384640 14391936 14399624 14508000 14515750 14609400 14864128 14984000 14991600 15096380 15376000 15475200 15583360 15991040 16199577 16722144 16857000 17298000 17418900 17531280 17856000 17980800 17989920 17999530 18115656 18261750 18451200 18580160 18700032 18739500 18870475 19189248 19344000 19479200 19988800 20902680 21576960 21599436 21773625 21914100 22141440 22296192 22476000 22487400 22644570 23064000 23212800 23225200 23375040 23399389 23974400 23986560 24154208 24349000 24986000 25792000 26128350 26971200 26999295 27173484 27392625 27676800 27870240 28050048 28109250 28783872 28799248 29016000 29031500 29218800 29728256 29968000 29983200 30192760 30752000 31166720 31982080 32399154 33444288 33714000 33966855 34596000 34837800 35062560 35961600 35979840 35999060 36231312 36523500 36902400 37160320 37400064 37479000 37740950 38688000 38958400 39977600 41805360 43153920 43198872 43547250 43828200 44592384 44952000 44974800 44998825 45289140 46128000 46425600 46450400 46750080 46798778 47973120 48308416 48698000 49972000 52256700 53942400 53998590 54346968 54785250 55353600 55740480 56100096 56218500 56611425 57567744 57598496 58032000 58063000 58437600 59936000 59966400 60385520 61504000 62333440 64798308 65320875 66888576 67428000 67933710 69192000 69675600 70125120 70198167 71923200 71959680 71998120 72462624 73047000 74320640 74958000 75481900 77376000 77916800 79955200 80997885 83610720 86397744 87094500 87656400 89184768 89904000 89949600 89997650 90578280 92256000 92900800 93500160 93597556 94352375 95946240 96616832 97396000 99944000 104513400 107884800 107997180 108693936 109570500 110707200 111480960 112200192 112437000 113222850 115196992 116064000 116126000 116875200 116996945 119872000 119932800 120771040 129596616 130641750 133777152 134856000 134996475 135867420 138384000 139351200 140250240 140396334 143919360 143996240 144925248 146094000 148641280 149916000 150963800 155833600 159910400 161995770 167221440 169834275 172795488 174189000 175312800 179808000 179899200 179995300 181156560 184512000 185801600 187000320 187195112 188704750 193233664 194792000 199888000 209026800 210594501 215769600 215994360 217387872 219141000 222961920 224874000 224994125 226445700 230393984 232128000 232252000 233750400 233993890 239865600 241542080 259193232 261283500 267554304 269712000 269992950 271734840 276768000 278702400 280500480 280792668 283057125 287838720 287992480 289850496 292188000 299832000 301927600 311667200 323991540 334442880 339668550 345590976 348378000 350625600 350990835 359616000 359798400 359990600 362313120 371603200 374390224 377409500 386467328 389584000 399776000 404989425 418053600 421189002 431988720 434775744 438282000 445923840 449748000 449988250 452891400 460787968 464504000 467500800 467987780 479731200 483084160 518386464 522567000 539424000 539985900 543469680 553536000 557404800 561000960 561585336 566114250 575984960 579700992 584376000 584984725 599664000 603855200 647983080 668885760 674982375 679337100 691181952 696756000 701251200 701981670 719596800 719981200 724626240 743206400 748780448 754819000 779168000 799552000 809978850 836107200 842378004 849171375 863977440 869551488 876564000 899496000 899976500 905782800 921575936 929008000 935001600 935975560 966168320 1036772928 1045134000 1052972505 1078848000 1079971800 1086939360 1114809600 1123170672 1132228500 1151969920 1159401984 1168752000 1169969450 1199328000 1207710400 1295966160 1337771520 1349964750 1358674200 1382363904 1393512000 1402502400 1403963340 1439193600 1439962400 1449252480 1497560896 1509638000 1558336000 1619957700 1672214400 1684756008 1698342750 1727954880 1739102976 1753128000 1754954175 1798992000 1799953000 1811565600 1858016000 1871951120 1932336640 2024947125 2073545856 2090268000 2105945010 2159943600 2173878720 2229619200 2246341344 2264457000 2303939840 2337504000 2339938900 2398656000 2415420800 2591932320 2699929500 2717348400 2764727808 2787024000 2805004800 2807926680 2879924800 2898504960 2924923625 2995121792 3019276000 3239915400 3344428800 3369512016 3396685500 3455909760 3478205952 3506256000 3509908350 3597984000 3599906000 3623131200 3716032000 3743902240 4049894250 4147091712 4180536000 4211890020 4319887200 4347757440 4492682688 4528914000 4607879680 4675008000 4679877800 4830841600 5183864640 5264862525 5399859000 5434696800 5574048000 5615853360 5759849600 5797009920 5849847250 5990243584 6038552000 6479830800 6688857600 6739024032 6793371000 6911819520 7012512000 7019816700 7195968000 7199812000 7246262400 7487804480 8099788500 8294183424 8361072000 8423780040 8639774400 8695514880 8774770875 8985365376 9057828000 9359755600 9661683200 10367729280 10529725050 10799718000 10869393600 11148096000 11231706720 11519699200 11699694500 11980487168 12077104000 12959661600 13478048064 13586742000 13823639040 14025024000 14039633400 14399624000 14492524800 14975608960 16199577000 16722144000 16847560080 17279548800 17391029760 17549541750 17970730752 18115656000 18719511200 20735458560 21059450100 21599436000 21738787200 22463413440 23039398400 23399389000 24154208000 25919323200 26324312625 26956096128 27173484000 28079266800 28799248000 28985049600 29951217920 32399154000 33444288000 33695120160 34559097600 35099083500 35941461504 36231312000 37439022400 41470917120 42118900200 43198872000 43477574400 44926826880 46798778000 48308416000 51838646400 52648625250 53912192256 54346968000 56158533600 57598496000 59902435840 64798308000 67390240320 69118195200 70198167000 72462624000 74878044800 84237800400 86397744000 86955148800 89853653760 93597556000 103677292800 105297250500 107824384512 108693936000 112317067200 115196992000 129596616000 134780480640 140396334000 144925248000 149756089600 168475600800 172795488000 179707307520 187195112000 207354585600 210594501000 217387872000 224634134400 259193232000 269560961280 280792668000 299512179200 336951201600 345590976000 374390224000 421189002000 434775744000 449268268800 518386464000 539121922560 561585336000 673902403200 748780448000 842378004000 898536537600 1036772928000 1123170672000 1347804806400 1497560896000 1684756008000 2246341344000 2695609612800 3369512016000 4492682688000 6739024032000 13478048064000
- Sum of all divisors σ(n): 54049347464112
- Sum of proper divisors (its aliquot sum) s(n): 40571299400112
- 13478048064000 is an abundant number, because the sum of its proper divisors (40571299400112) is greater than itself. Its abundance is 27093251336112
Bases of 13478048064000
- Binary: 110001000010000110100100010001100010000000002
- Hexadecimal: 0xC421A446200
- Base-36: 4RZQ9TOG0
Squares and roots of 13478048064000
- 13478048064000 squared (134780480640002) is 181657779615494148096000000
- 13478048064000 cubed (134780480640003) is 2448392284857149567148622086144000000000
-
The
square root of 13478048064000 is 3671246.1186904917 -
The
cube root of 13478048064000 is 23798.1026569293
Scales and comparisons
How big is 13478048064000?- 13,478,048,064,000 seconds is equal to 428,560 years, 12 weeks, 2 days, 16 hours.
-
To count from 1 to 13,478,048,064,000 would take you about one million, seventy-one thousand, four hundred 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 13478048064000 cubic inches would be around 1983.2 feet tall.
Recreational maths with 13478048064000
- 13478048064000 backwards is 00046084087431
- 13478048064000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13478048064000's digits is 45
- More coming soon!
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The information we have on file for 13478048064000 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 13478048064000, math, Factors of 13478048064000, curriculum, school, college, exams, university, Prime factorization of 13478048064000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, four hundred seventy-eight billion, forty-eight million, sixty-four thousand.