13824738996000
13,824,738,996,000 is an even composite number composed of seven prime numbers multiplied together.
13824738996000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13824738996000:
25 × 3 × 53 × 412 × 53 × 67 × 193
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 41 × 41 × 53 × 67 × 193)See below for interesting mathematical facts about the number 13824738996000 from the Numbermatics database.
Names of 13824738996000
- Cardinal: 13824738996000 can be written as Thirteen trillion, eight hundred twenty-four billion, seven hundred thirty-eight million, nine hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.3824738996 × 1013
Factors of 13824738996000
Divisors of 13824738996000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 53 60 67 75 80 82 96 100 106 120 123 125 134 150 159 160 164 193 200 201 205 212 240 246 250 265 268 300 318 328 335 375 386 400 402 410 424 480 492 500 530 536 579 600 615 636 656 670 750 772 795 800 804 820 848 965 984 1000 1005 1025 1060 1072 1158 1200 1230 1272 1312 1325 1340 1500 1544 1590 1608 1640 1675 1681 1696 1930 1968 2000 2010 2050 2120 2144 2173 2316 2400 2460 2544 2650 2680 2747 2895 3000 3075 3088 3180 3216 3280 3350 3362 3551 3860 3936 3975 4000 4020 4100 4240 4346 4632 4825 4920 5025 5043 5088 5125 5300 5360 5494 5790 6000 6150 6176 6360 6432 6519 6560 6625 6700 6724 7102 7720 7913 7950 8040 8200 8241 8375 8405 8480 8692 9264 9650 9840 10050 10086 10229 10250 10600 10653 10720 10865 10988 11580 12000 12300 12720 12931 13038 13250 13400 13448 13735 14204 14475 15375 15440 15826 15900 16080 16400 16482 16750 16810 17384 17755 18528 19300 19680 19875 20100 20172 20458 20500 21200 21306 21730 21976 23160 23739 24125 24600 25125 25215 25440 25862 26076 26500 26800 26896 27470 28408 28950 30687 30750 30880 31652 31800 32160 32595 32800 32964 33500 33620 34768 35510 38600 38793 39565 39750 40200 40344 40916 41000 41205 42025 42400 42612 43460 43952 46320 47478 48250 49200 50250 50430 51145 51724 52152 53000 53265 53600 53792 54325 54940 56816 57900 61374 61500 63304 63600 64655 65190 65928 67000 67240 68675 69536 71020 72375 77200 77586 79130 79500 80400 80688 81832 82000 82410 84050 85224 86920 87904 88775 89093 92640 94956 96500 98400 100500 100860 102290 103448 104304 106000 106530 108650 109880 112627 113632 115800 118695 122748 123000 126075 126608 127200 129310 130380 131856 134000 134480 137350 142040 144750 145591 153435 154400 155172 158260 159000 160800 161376 162975 163664 164000 164820 168100 170448 173840 177550 178186 189912 193000 193965 197825 201000 201720 204580 206025 206896 208608 210125 212000 213060 217300 219760 225254 231600 237390 245496 246000 252150 253216 255725 258620 260760 263712 266325 267279 268000 268960 271625 274700 284080 289500 291182 306870 310344 316520 318000 323275 324433 325950 327328 329640 336200 337881 340896 343375 347680 355100 356372 379824 386000 387930 395650 402000 403440 409160 412050 413792 419389 420250 426120 434600 436773 439520 443875 445465 450508 463200 474780 490992 492000 504300 511450 517240 521520 530171 532650 534558 543250 549400 563135 568160 579000 582364 593475 613740 620688 630375 633040 636000 646550 648866 651900 659280 672400 675762 685343 686750 710200 712744 727955 759648 767175 772000 775860 791300 804000 806880 814875 818320 824100 838778 840500 852240 869200 873546 887750 890930 901016 949560 969825 973299 981984 989125 1008600 1022900 1030125 1034480 1043040 1060342 1065300 1069116 1086500 1098800 1126270 1158000 1164728 1186950 1227480 1241376 1258167 1260750 1266080 1278625 1293100 1297732 1303800 1318560 1331625 1336395 1344800 1351524 1370686 1373500 1420400 1425488 1455910 1534350 1551720 1582600 1590513 1616375 1622165 1629750 1636640 1648200 1677556 1681000 1689405 1704480 1738400 1747092 1775500 1781860 1802032 1899120 1939650 1946598 1978250 2017200 2045800 2056029 2060250 2068960 2096945 2120684 2130600 2138232 2173000 2183865 2197600 2227325 2252540 2316000 2329456 2373900 2454960 2516334 2521500 2557250 2586200 2595464 2607600 2650855 2663250 2672790 2703048 2741372 2747000 2815675 2840800 2850976 2911820 2967375 3068700 3103440 3165200 3181026 3232750 3244330 3259500 3296400 3355112 3362000 3378810 3426715 3494184 3551000 3563720 3604064 3639775 3798240 3835875 3879300 3893196 3956500 4034400 4091600 4112058 4120500 4193890 4241368 4261200 4276464 4346000 4367730 4454650 4505080 4658912 4747800 4849125 4866495 4909920 5032668 5043000 5114500 5172400 5190928 5215200 5301710 5326500 5345580 5406096 5482744 5494000 5631350 5823640 5934750 5969231 6137400 6206880 6290835 6330400 6362052 6465500 6488660 6519000 6592800 6681975 6710224 6724000 6757620 6853430 6988368 7102000 7127440 7279550 7671750 7758600 7786392 7913000 7952565 8110825 8183200 8224116 8241000 8387780 8447025 8482736 8522400 8552928 8692000 8735460 8909300 9010160 9495600 9698250 9732990 10065336 10086000 10229000 10280145 10344800 10381856 10484725 10603420 10653000 10691160 10812192 10919325 10965488 10988000 11136625 11262700 11647280 11869500 11938462 12274800 12581670 12724104 12931000 12977320 13038000 13254275 13363950 13420448 13515240 13706860 13976736 14078375 14204000 14254880 14559100 15343500 15517200 15572784 15826000 15905130 16221650 16448232 16482000 16775560 16894050 16965472 17133575 17194949 17470920 17818600 17907693 18020320 18198875 18991200 19396500 19465980 20130672 20172000 20458000 20560290 20969450 21206840 21306000 21382320 21737011 21838650 21930976 22273250 22525400 23294560 23739000 23876924 24332475 24549600 25163340 25448208 25862000 25954640 26076000 26508550 26727900 27030480 27413720 28099063 28156750 29118200 29846155 30687000 31034400 31145568 31454175 31652000 31810260 32443300 32896464 32964000 33409875 33551120 33788100 34267150 34389898 34941840 35637200 35815386 36397750 38793000 38931960 39762825 40261344 40554125 40916000 41120580 41938900 42235125 42413680 42612000 42764640 43474022 43677300 44546500 45050800 47478000 47753848 48664950 50326680 50896416 51400725 51584847 51724000 51909280 52423625 53017100 53455800 54060960 54596625 54827440 56198126 56313500 58236400 59692310 61374000 62908350 63620520 64886600 65211033 65792928 66271375 66819750 67102240 67576200 68534300 68779796 69883680 71274400 71630772 72795500 77586000 77863920 79525650 81108250 82241160 83877800 84297189 84470250 84827360 85667875 85974745 86948044 87354600 89093000 89538465 90101600 94956000 95507696 97329900 100653360 102801450 103169694 104847250 106034200 106911600 108685055 109193250 109654880 112396252 112627000 116472800 119384620 121662375 122748000 125816700 127241040 129773200 130422066 132542750 133639500 135152400 137068600 137559592 140495315 143261544 145591000 149230775 155172000 155727840 157270875 159051300 162216500 164482320 167755600 168594378 168940500 171335750 171949490 173896088 174709200 178186000 179076930 191015392 194659800 198814125 201306720 205602900 206339388 209694500 212068400 213823200 217370110 218386500 224792504 225254000 238769240 243324750 251633400 254482080 257003625 257924235 259546400 260844132 265085500 267279000 270304800 274137200 275119184 280990630 286523088 291182000 298461550 314541750 318102600 324433000 326055165 328964640 335511200 337188756 337881000 342671500 343898980 347792176 349418400 356372000 358153860 389319600 397628250 411205800 412678776 419389000 421485945 424136800 429873725 434740220 436773000 447692325 449585008 450508000 477538480 486649500 503266800 514007250 515848470 521688264 530171000 534558000 543425275 548274400 550238368 561981260 573046176 582364000 596923100 629083500 636205200 648866000 652110330 674377512 675762000 685343000 687797960 695584352 702476575 716307720 746153875 778639200 795256500 822411600 825357552 838778000 842971890 859747450 869480440 873546000 895384650 899170016 955076960 973299000 1006533600 1028014500 1031696940 1043376528 1060342000 1069116000 1086850550 1123962520 1152061583 1193846200 1258167000 1272410400 1289621175 1297732000 1304220660 1348755024 1351524000 1370686000 1375595920 1404953150 1432615440 1492307750 1590513000 1630275825 1644823200 1650715104 1677556000 1685943780 1719494900 1738960880 1747092000 1790769300 1946598000 2056029000 2063393880 2086753056 2107429725 2120684000 2149368625 2173701100 2238461625 2247925040 2304123166 2387692400 2516334000 2579242350 2608441320 2697510048 2717126375 2741372000 2751191840 2809906300 2865230880 2984615500 3181026000 3260551650 3371887560 3438989800 3456184749 3477921760 3512382875 3581538600 3893196000 4112058000 4126787760 4214859450 4298737250 4347402200 4476923250 4495850080 4608246332 4775384800 5032668000 5158484700 5216882640 5434252750 5619812600 5760307915 5969231000 6362052000 6448105875 6521103300 6743775120 6877979600 6912369498 7024765750 7163077200 8151379125 8224116000 8253575520 8429718900 8597474500 8694804400 8953846500 9216492664 10316969400 10433765280 10537148625 10868505500 11239625200 11520615830 11938462000 12896211750 13042206600 13487550240 13755959200 13824738996 14049531500 14326154400 16302758250 16859437800 17194949000 17280923745 17389608800 17907693000 18432985328 20633938800 21074297250 21737011000 22479250400 23041231660 23876924000 25792423500 26084413200 27649477992 28099063000 28801539575 32605516500 33718875600 34389898000 34561847490 35815386000 36865970656 41267877600 42148594500 43474022000 46082463320 51584847000 52168826400 55298955984 56198126000 57603079150 65211033000 67437751200 68779796000 69123694980 71630772000 84297189000 86404618725 86948044000 92164926640 103169694000 110597911968 112396252000 115206158300 130422066000 138247389960 144007697875 168594378000 172809237450 184329853280 206339388000 230412316600 260844132000 276494779920 288015395750 337188756000 345618474900 432023093625 460824633200 552989559840 576030791500 691236949800 864046187250 921649266400 1152061583000 1382473899600 1728092374500 2304123166000 2764947799200 3456184749000 4608246332000 6912369498000 13824738996000
- Sum of all divisors σ(n): 48251944435968
- Sum of proper divisors (its aliquot sum) s(n): 34427205439968
- 13824738996000 is an abundant number, because the sum of its proper divisors (34427205439968) is greater than itself. Its abundance is 20602466443968
Bases of 13824738996000
- Binary: 110010010010110100101010100000101111001000002
- Hexadecimal: 0xC92D2A82F20
- Base-36: 4WEZWNJMO
Squares and roots of 13824738996000
- 13824738996000 squared (138247389960002) is 191123408307523088016000000
- 13824738996000 cubed (138247389960003) is 2642231235877444795065135471936000000000
-
The
square root of 13824738996000 is 3718163.3901699371 -
The
cube root of 13824738996000 is 24000.4276521021
Scales and comparisons
How big is 13824738996000?- 13,824,738,996,000 seconds is equal to 439,583 years, 48 weeks, 5 days, 4 hours, 40 minutes.
-
To count from 1 to 13,824,738,996,000 would take you about one million, ninety-eight thousand, nine hundred fifty-nine 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 13824738996000 cubic inches would be around 2000 feet tall.
Recreational maths with 13824738996000
- 13824738996000 backwards is 00069983742831
- 13824738996000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13824738996000's digits is 60
- More coming soon!
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The information we have on file for 13824738996000 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!
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