97968384144000
97,968,384,144,000 is an even composite number composed of six prime numbers multiplied together.
97968384144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 97968384144000:
27 × 34 × 53 × 412 × 193 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 41 × 41 × 193 × 233)See below for interesting mathematical facts about the number 97968384144000 from the Numbermatics database.
Names of 97968384144000
- Cardinal: 97968384144000 can be written as Ninety-seven trillion, nine hundred sixty-eight billion, three hundred eighty-four million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 9.7968384144 × 1013
Factors of 97968384144000
Divisors of 97968384144000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 54 60 64 72 75 80 81 82 90 96 100 108 120 123 125 128 135 144 150 160 162 164 180 192 193 200 205 216 225 233 240 246 250 270 288 300 320 324 328 360 369 375 384 386 400 405 410 432 450 466 480 492 500 540 576 579 600 615 640 648 656 675 699 720 738 750 772 800 810 820 864 900 932 960 965 984 1000 1025 1080 1107 1125 1152 1158 1165 1200 1230 1296 1312 1350 1398 1440 1476 1500 1544 1600 1620 1640 1681 1728 1737 1800 1845 1864 1920 1930 1968 2000 2025 2050 2097 2160 2214 2250 2316 2330 2400 2460 2592 2624 2700 2796 2880 2895 2952 3000 3075 3088 3200 3240 3280 3321 3362 3375 3456 3474 3495 3600 3690 3728 3860 3936 4000 4050 4100 4194 4320 4428 4500 4632 4660 4800 4825 4920 5043 5125 5184 5211 5248 5400 5535 5592 5760 5790 5825 5904 6000 6150 6176 6291 6480 6560 6642 6724 6750 6948 6990 7200 7380 7456 7720 7872 7913 8000 8100 8200 8388 8405 8640 8685 8856 9000 9225 9264 9320 9553 9600 9650 9840 10086 10125 10250 10368 10422 10485 10800 11070 11184 11580 11650 11808 12000 12300 12352 12582 12960 13120 13284 13448 13500 13896 13980 14400 14475 14760 14912 15129 15375 15440 15633 15744 15826 16000 16200 16400 16605 16776 16810 17280 17370 17475 17712 18000 18450 18528 18640 18873 19106 19300 19680 20172 20250 20500 20844 20970 21600 22140 22368 23160 23300 23616 23739 24000 24125 24600 24704 25164 25215 25920 26055 26240 26568 26896 27000 27675 27792 27960 28659 28800 28950 29125 29520 29824 30258 30750 30880 31266 31455 31652 32400 32800 33210 33552 33620 34740 34950 35424 36000 36900 37056 37280 37746 38212 38600 39360 39565 40344 40500 41000 41688 41940 42025 43200 43425 44280 44736 44969 45387 46125 46320 46600 47232 47478 47765 48000 48250 49200 50328 50430 51840 52110 52425 53136 53792 54000 55350 55584 55920 57318 57900 58250 59040 60516 61500 61760 62532 62910 63304 64800 65600 66420 67104 67240 69480 69900 70848 71217 72000 72375 73800 74112 74560 75492 75645 76424 77200 78165 78720 79130 80688 81000 82000 83025 83376 83880 84050 85977 86400 86850 87375 88560 89472 89938 90774 92250 92640 93200 94365 94956 95530 96500 98400 100656 100860 104220 104850 106272 107584 108000 110700 111168 111840 114636 115800 116500 118080 118695 121032 123000 123520 125064 125820 126075 126608 129600 130275 131200 132840 134208 134480 134907 136161 138375 138960 139800 141696 142434 143295 144000 144750 147600 149120 150984 151290 152848 154400 156330 157275 158260 161376 162000 164000 166050 166752 167760 168100 171954 173700 174750 177120 179876 181548 184500 185280 186400 188730 189912 191060 193000 196800 197825 201312 201720 208440 209700 210125 212544 213651 215168 216000 217125 221400 222336 223680 224845 226935 229272 231600 233000 236160 237390 238825 242064 246000 250128 251640 252150 253216 257931 259200 260550 262125 265680 268416 268960 269814 272322 276750 277920 279600 284868 286590 289500 295200 301968 302580 305696 308800 312660 314550 316520 322752 324000 324433 328000 332100 333504 335520 336200 343908 347400 349500 354240 356085 359752 363096 369000 370560 372800 377460 378225 379824 382120 386000 390825 391673 393600 395650 402624 403440 404721 415125 416880 419400 420250 425088 427302 429885 432000 434250 442800 447360 449690 453870 458544 463200 466000 471825 474780 477650 484128 492000 500256 503280 504300 506432 515862 521100 524250 531360 537920 539628 544644 553500 555840 559200 569736 573180 579000 590400 593475 603936 605160 611392 617600 625320 629100 630375 633040 640953 645504 648000 648866 651375 656000 664200 667008 671040 672400 674535 680805 687816 694800 699000 708480 712170 716475 719504 726192 738000 745600 754920 756450 759648 764240 772000 773793 781650 783346 786375 791300 805248 806880 809442 830250 833760 838800 840500 854604 859770 868500 885600 899380 907740 917088 926400 932000 943650 949560 955300 968256 973299 984000 989125 1000512 1006560 1008600 1012864 1031724 1042200 1048500 1062720 1068255 1075840 1079256 1089288 1107000 1111680 1118400 1124225 1134675 1139472 1146360 1158000 1175019 1180800 1186950 1194125 1207872 1210320 1214163 1222784 1250640 1258200 1260750 1266080 1281906 1289655 1296000 1297732 1302750 1328400 1342080 1344800 1349070 1361610 1375632 1389600 1398000 1424340 1432950 1439008 1452384 1476000 1509840 1512900 1519296 1528480 1544000 1547586 1563300 1566692 1572750 1582600 1613760 1618884 1622165 1660500 1667520 1677600 1681000 1709208 1719540 1737000 1771200 1780425 1798760 1815480 1834176 1843729 1852800 1864000 1887300 1891125 1899120 1910600 1936512 1946598 1954125 1958365 1968000 1978250 2001024 2013120 2017200 2023605 2063448 2084400 2097000 2125440 2136510 2149425 2158512 2178576 2214000 2236800 2248450 2269350 2278944 2292720 2316000 2350038 2359125 2373900 2388250 2415744 2420640 2428326 2501280 2516400 2521500 2532160 2563812 2579310 2595464 2605500 2656800 2689600 2698140 2723220 2751264 2779200 2796000 2848680 2865900 2878016 2904768 2919897 2952000 2967375 3019680 3025800 3038592 3056960 3088000 3095172 3126600 3133384 3145500 3165200 3204765 3227520 3237768 3244330 3321000 3335040 3355200 3362000 3372675 3404025 3418416 3439080 3474000 3525057 3542400 3560850 3582375 3597520 3630960 3642489 3668352 3687458 3728000 3774600 3782250 3798240 3821200 3868965 3893196 3908250 3916730 3956500 4026240 4034400 4047210 4126896 4168800 4194000 4273020 4298850 4317024 4357152 4428000 4496900 4538700 4557888 4585440 4632000 4700076 4718250 4747800 4776500 4841280 4856652 4866495 5002560 5032800 5043000 5064320 5127624 5158620 5190928 5211000 5313600 5341275 5379200 5396280 5446440 5502528 5531187 5558400 5592000 5621125 5673375 5697360 5731800 5756032 5809536 5839794 5875095 5904000 5934750 6039360 6051600 6070815 6113920 6190344 6253200 6266768 6291000 6330400 6409530 6448275 6475536 6488660 6642000 6710400 6724000 6745350 6808050 6836832 6878160 6948000 7050114 7121700 7164750 7195040 7261920 7284978 7374916 7549200 7564500 7596480 7642400 7737930 7786392 7816500 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18991200 19106000 19344825 19426608 19465980 19583650 20131200 20172000 20236050 20510496 20634480 20763712 20844000 21150342 21365100 21494250 21585120 21785760 22124748 22484500 22693500 22789440 22927200 23359176 23500380 23739000 24206400 24283260 24332475 24761376 25012800 25067072 25164000 25321600 25638120 25793100 25902144 25954640 26279073 26568000 26706375 26896000 26981400 27232200 27347328 27512640 27655935 27792000 28200456 28486800 28659000 28780160 29047680 29139912 29198970 29375475 29499664 30196800 30258000 30354075 30569600 30951720 31145568 31266000 31333840 31652000 31725513 32047650 32241375 32377680 32443300 33015168 33187122 33552000 33726750 34040250 34184160 34390800 35038764 35250570 35608500 35975200 36309600 36424890 36874580 37600608 37746000 37982400 38212000 38689650 38853216 38931960 39167300 40344000 40472100 40554125 41020992 41268960 41527424 41688000 42300684 42730200 42988500 43170240 43571520 43798455 44249496 44969000 45387000 45578880 45854400 46093225 46718352 47000760 47478000 48412800 48566520 48664950 48959125 49522752 49780683 50025600 50134144 50328000 50590125 51276240 51586200 51804288 51909280 52558146 52875855 53136000 53412750 53962800 54464400 55025280 55311870 56400912 56973600 57318000 58279824 58397940 58750950 58999328 60393600 60516000 60708150 61903440 62291136 62532000 62667680 63304000 63451026 64095300 64482750 64755360 64886600 66374244 67453500 68080500 68368320 68781600 70077528 70501140 71217000 71950400 72619200 72849780 72997425 73749160 75201216 75492000 75592889 75964800 76424000 77379300 77706432 77863920 78334600 80119125 80688000 80944200 81108250 82041984 82537920 82967805 83376000 84601368 85460400 85977000 86340480 87143040 87596910 88126425 88498992 89938000 90774000 91062225 91708800 92186450 93436704 94001520 94956000 96724125 97133040 97329900 97918250 99045504 99561366 100656000 101180250 102552480 103172400 103818560 105116292 105751710 106825500 107925600 108928800 110623740 112801824 113947200 114636000 116559648 116795880 117501900 117998656 121032000 121416300 121662375 123806880 124582272 125064000 125335360 126608000 126902052 128190600 128965500 129510720 129773200 131395365 132748488 134907000 136161000 136736640 137563200 138279675 140155056 141002280 142434000 143900800 145238400 145699560 145994850 146877375 147498320 149342049 150402432 150984000 151185778 151770375 152848000 154758600 155412864 155727840 156669200 158627565 160238250 161888400 162216500 165075840 165935610 169202736 170920800 171954000 175193820 176252850 176997984 179876000 181548000 182124450 184372900 186873408 188003040 189912000 193448250 194266080 194659800 195836500 199122732 202360500 205104960 206344800 207637120 210232584 211503420 213651000 215851200 217857600 218992275 221247480 225603648 226778667 227894400 229272000 230466125 233119296 233591760 235003800 235997312 242064000 242832600 243324750 247613760 248903415 250128000 250670720 253804104 256381200 257931000 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663742440 676810944 680336001 683683200 687816000 691398375 700775280 705011400 707991936 719504000 726192000 728497800 729974250 737491600 746710245 752012160 755928890 773793000 777064320 778639200 783346000 793137825 796490928 809442000 825379200 829678050 840930336 846013680 854604000 875969100 881264250 884989920 907114668 910622250 921864500 934367040 940015200 971330400 973299000 995613660 1015216416 1025524800 1031724000 1038185600 1051162920 1057517100 1061987904 1079256000 1089288000 1094961375 1106237400 1121240448 1128018240 1133893335 1139472000 1165596480 1167958800 1175019000 1179986560 1194736392 1209486224 1214163000 1238068800 1244517075 1253353600 1269020520 1281906000 1295107200 1297732000 1313953650 1321896375 1327484880 1353621888 1360672002 1375632000 1382796750 1401550560 1410022800 1456995600 1459948500 1474983200 1493420490 1511857780 1547586000 1557278400 1566692000 1586275650 1592981856 1618884000 1659356100 1681860672 1692027360 1709208000 1751938200 1762528500 1769979840 1814229336 1821244500 1843729000 1868734080 1880030400 1889822225 1942660800 1946598000 1991227320 2030432832 2041008003 2051049600 2063448000 2074195125 2102325840 2115034200 2123975808 2158512000 2178576000 2189922750 2212474800 2256036480 2267786670 2331192960 2335917600 2350038000 2389472784 2418972448 2428326000 2476137600 2489034150 2538041040 2563812000 2595464000 2627907300 2643792750 2654969760 2721344004 2765593500 2803101120 2820045600 2913991200 2919897000 2949966400 2986840980 3023715560 3095172000 3114556800 3133384000 3172551300 3185963712 3237768000 3284884125 3318712200 3363721344 3384054720 3401680005 3418416000 3503876400 3525057000 3539959680 3628458672 3642489000 3687458000 3733551225 3760060800 3779644450 3885321600 3893196000 3965689125 3982454640 4060865664 4082016006 4126896000 4148390250 4204651680 4230068400 4379845500 4424949600 4535573340 4671835200 4700076000 4778945568 4837944896 4856652000 4978068300 5076082080 5127624000 5190928000 5255814600 5287585500 5309939520 5442688008 5531187000 5606202240 5640091200 5669466675 5827982400 5839794000 5899932800 5973681960 6047431120 6123024009 6190344000 6222585375 6266768000 6345102600 6371927424 6475536000 6569768250 6637424400 6768109440 6803360010 7007752800 7050114000 7256917344 7284978000 7374916000 7467102450 7559288900 7786392000 7931378250 7964909280 8164032012 8296780500 8409303360 8460136800 8759691000 8849899200 9071146680 9343670400 9400152000 9449111125 9557891136 9675889792 9713304000 9956136600 10152164160 10205040015 10255248000 10511629200 10575171000 10619879040 10885376016 11062374000 11280182400 11338933350 11655964800 11679588000 11947363920 12094862240 12246048018 12380688000 12445170750 12690205200 13139536500 13274848800 13606720020 14015505600 14100228000 14513834688 14569956000 14749832000 14934204900 15118577800 15572784000 15862756500 15929818560 16328064024 16593561000 16818606720 16920273600 17008400025 17519382000 17699798400 18142293360 18667756125 18800304000 18898222250 19115782272 19426608000 19912273200 20304328320 20410080030 21023258400 21150342000 21770752032 22124748000 22677866700 23359176000 23894727840 24189724480 24492096036 24890341500 25380410400 26279073000 26549697600 27213440040 28031011200 28200456000 28347333375 29027669376 29139912000 29499664000 29868409800 30237155600 30615120045 31725513000 31859637120 32656128048 33187122000 33840547200 34016800050 35038764000 36284586720 37335512250 37796444500 39824546400 40820160060 42046516800 42300684000 43541504064 44249496000 45355733400 46718352000 47789455680 48379448960 48984192072 49780683000 50760820800 51025200075 52558146000 53099395200 54426880080 56400912000 56694666750 58279824000 59736819600 60474311200 61230240090 63451026000 65312256096 66374244000 68033600100 70077528000 72569173440 74671024500 75592889000 79649092800 81640320120 84093033600 84601368000 85042000125 87083008128 88498992000 90711466800 95578911360 97968384144 99561366000 101521641600 102050400150 105116292000 108853760160 113389333500 119473639200 120948622400 122460480180 126902052000 130624512192 132748488000 136067200200 140155056000 145138346880 149342049000 151185778000 153075600225 159298185600 163280640240 169202736000 170084000250 181422933600 195936768288 199122732000 204100800300 210232584000 217707520320 226778667000 238947278400 241897244800 244920960360 253804104000 255126000375 261249024384 265496976000 272134400400 298684098000 302371556000 306151200450 326561280480 340168000500 362845867200 391873536576 398245464000 408201600600 420465168000 435415040640 453557334000 477894556800 489841920720 507608208000 510252000750 544268800800 597368196000 604743112000 612302400900 653122560960 680336001000 725691734400 765378001125 783747073152 796490928000 816403201200 907114668000 979683841440 1020504001500 1088537601600 1194736392000 1209486224000 1224604801800 1306245121920 1360672002000 1530756002250 1632806402400 1814229336000 1959367682880 2041008003000 2177075203200 2389472784000 2449209603600 2721344004000 3061512004500 3265612804800 3628458672000 3918735365760 4082016006000 4898419207200 5442688008000 6123024009000 6531225609600 8164032012000 9796838414400 10885376016000 12246048018000 16328064024000 19593676828800 24492096036000 32656128048000 48984192072000 97968384144000
- Sum of all divisors σ(n): 376489625981040
- Sum of proper divisors (its aliquot sum) s(n): 278521241837040
- 97968384144000 is an abundant number, because the sum of its proper divisors (278521241837040) is greater than itself. Its abundance is 180552857693040
Bases of 97968384144000
- Binary: 101100100011010000010101011110001110010100000002
- Hexadecimal: 0x591A0ABC7280
- Base-36: YQ61YG800
Squares and roots of 97968384144000
- 97968384144000 squared (979683841440002) is 9597804291786350612736000000
- 97968384144000 cubed (979683841440003) is 940281377796657060804390226857984000000000
-
The
square root of 97968384144000 is 9897897.9659319585 -
The
cube root of 97968384144000 is 46099.4044659039
Scales and comparisons
How big is 97968384144000?- 97,968,384,144,000 seconds is equal to 3,115,091 years, 30 weeks, 1 day.
-
To count from 1 to 97,968,384,144,000 would take you about seven million, seven hundred eighty-seven thousand, seven hundred twenty-eight 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 97968384144000 cubic inches would be around 3841.6 feet tall.
Recreational maths with 97968384144000
- 97968384144000 backwards is 00044148386979
- The number of decimal digits it has is: 14
- The sum of 97968384144000's digits is 63
- More coming soon!
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"Number 97968384144000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 97968384144000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/97968384144000/
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The information we have on file for 97968384144000 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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