993264960064000
993,264,960,064,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 993264960064000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
993264960064000 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 993264960064000:
29 × 53 × 132 × 172 × 197 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 17 × 17 × 197 × 1613)See below for interesting mathematical facts about the number 993264960064000 from the Numbermatics database.
Names of 993264960064000
- Cardinal: 993264960064000 can be written as Nine hundred ninety-three trillion, two hundred sixty-four billion, nine hundred sixty million, sixty-four thousand.
Scientific notation
- Scientific notation: 9.93264960064 × 1014
Factors of 993264960064000
Divisors of 993264960064000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 125 128 130 136 160 169 170 197 200 208 221 250 256 260 272 289 320 325 338 340 394 400 416 425 442 500 512 520 544 578 640 650 676 680 788 800 832 845 850 884 985 1000 1040 1088 1105 1156 1280 1300 1352 1360 1445 1576 1600 1613 1625 1664 1690 1700 1768 1970 2000 2080 2125 2176 2210 2312 2560 2561 2600 2704 2720 2873 2890 3152 3200 3226 3250 3328 3349 3380 3400 3536 3757 3940 4000 4160 4225 4250 4352 4420 4624 4925 5122 5200 5408 5440 5525 5746 5780 6304 6400 6452 6500 6656 6698 6760 6800 7072 7225 7514 7880 8000 8065 8320 8450 8500 8704 8840 9248 9850 10244 10400 10816 10880 11050 11492 11560 12608 12800 12805 12904 13000 13396 13520 13600 14144 14365 14450 15028 15760 16000 16130 16640 16745 16900 17000 17680 18496 18785 19700 20488 20800 20969 21125 21632 21760 22100 22984 23120 24625 25216 25610 25808 26000 26792 27040 27200 27421 27625 28288 28730 28900 30056 31520 32000 32260 33280 33293 33490 33800 34000 35360 36125 36992 37570 39400 40325 40976 41600 41938 42250 43264 43520 43537 44200 45968 46240 48841 49250 50432 51220 51616 52000 53584 54080 54400 54842 55250 56576 56933 57460 57800 60112 63040 64000 64025 64520 66586 66980 67600 68000 70720 71825 72250 73984 75140 78800 80650 81952 83200 83725 83876 84500 86528 87074 88400 91936 92480 93925 97682 98500 100864 102440 103232 104000 104845 107168 108160 108800 109684 110500 113152 113866 114920 115600 120224 126080 128050 129040 133172 133960 135200 136000 137105 141440 143650 144500 147968 150280 157600 161300 163904 166400 166465 167450 167752 169000 174148 176800 183872 184960 187850 195364 197000 201625 204880 206464 208000 209690 214336 216320 217600 217685 219368 221000 227732 229840 231200 240448 244205 252160 256100 258080 266344 267920 270400 272000 272597 274210 282880 284665 287300 289000 300560 315200 317761 320125 322600 327808 332930 334900 335504 338000 348296 353600 356473 359125 367744 369920 375700 390728 394000 403250 409760 412928 416000 418625 419380 428672 432640 435370 438736 442000 455464 459680 462400 466157 469625 480896 488410 504320 512200 516160 524225 532688 535840 540800 544000 545194 548420 565760 565981 569330 574600 578000 601120 630400 635522 640250 645200 655616 665860 669800 671008 676000 685525 696592 707200 712946 718250 735488 739840 740129 751400 781456 788000 806500 819520 825856 832000 832325 837250 838760 857344 870740 877472 884000 910928 919360 924800 932314 939250 961792 976820 1024400 1032320 1048450 1065376 1071680 1081600 1088000 1088425 1090388 1096840 1131962 1138660 1149200 1156000 1202240 1221025 1260800 1271044 1280500 1290400 1311232 1331720 1339600 1342016 1352000 1362985 1371050 1393184 1414400 1423325 1425892 1436500 1470976 1480258 1502800 1562912 1576000 1588805 1613000 1639040 1664650 1674500 1677520 1714688 1741480 1754944 1768000 1782365 1821856 1838720 1849600 1864628 1878500 1923584 1953640 2048800 2064640 2096900 2130752 2143360 2163200 2176850 2180776 2193680 2263924 2277320 2298400 2312000 2330785 2404480 2442050 2521600 2542088 2561000 2580800 2621125 2663440 2679200 2684032 2704000 2725970 2742100 2786368 2828800 2829905 2846650 2851784 2873000 2960516 3005600 3125824 3152000 3177610 3226000 3278080 3329300 3349000 3355040 3427625 3482960 3509888 3536000 3564730 3643712 3677440 3699200 3700645 3729256 3757000 3907280 4097600 4129280 4130893 4161625 4193800 4261504 4286720 4353700 4361552 4387360 4527848 4554640 4596800 4624000 4634149 4661570 4808960 4884100 5084176 5122000 5161600 5242250 5326880 5358400 5368064 5401937 5408000 5442125 5451940 5484200 5572736 5659810 5693300 5703568 5746000 5921032 6011200 6060041 6105125 6251648 6304000 6355220 6452000 6556160 6658600 6698000 6710080 6814925 6855250 6965920 7019776 7072000 7116625 7129460 7287424 7354880 7401290 7458512 7514000 7814560 7944025 8195200 8261786 8323250 8387600 8523008 8573440 8707400 8723104 8774720 8911825 9055696 9109280 9193600 9248000 9268298 9323140 9617920 9621677 9768200 10168352 10244000 10323200 10484500 10653760 10716800 10736128 10803874 10816000 10884250 10903880 10968400 11145472 11319620 11386600 11407136 11492000 11653925 11842064 12022400 12120082 12210250 12503296 12608000 12710440 12904000 13317200 13396000 13420160 13629850 13710500 13931840 14039552 14144000 14149525 14233250 14258920 14574848 14802580 14917024 15028000 15629120 15888050 16390400 16523572 16646500 16775200 17046016 17414800 17446208 17549440 17823650 18111392 18218560 18387200 18496000 18503225 18536596 18646280 19243354 19536400 20336704 20488000 20646400 20654465 20969000 21307520 21433600 21607748 21768500 21807760 21936800 22290944 22639240 22773200 22814272 22984000 23170745 23307850 23684128 24044800 24240164 24420500 25006592 25420880 25808000 26634400 26792000 26840320 27009685 27259700 27421000 27863680 28299050 28466500 28517840 29149696 29605160 29834048 30056000 30300205 31258240 31776100 32780800 33047144 33293000 33550400 34074625 34829600 34892416 35098880 35647300 36222784 36437120 36774400 37006450 37073192 37292560 38486708 39072800 39720125 40673408 40976000 41308930 41938000 42615040 42867200 43215496 43537000 43615520 43873600 44559125 45278480 45546400 45628544 45968000 46341490 46615700 47368256 48089600 48108385 48480328 48841000 50841760 51616000 53268800 53584000 53680640 53701609 54019370 54519400 54842000 55727360 56598100 56933000 57035680 58269625 59210320 59668096 60112000 60600410 62516480 63552200 66094288 66586000 67100800 68149250 69659200 69784832 70197760 70225181 70747625 71294600 72445568 72874240 74012900 74146384 74585120 76973416 78145600 78780533 79440250 81346816 81952000 82617860 83876000 85230080 86430992 87074000 87231040 87747200 89118250 90556960 91092800 91257088 91832929 91936000 92516125 92682980 93231400 94736512 96216770 96960656 97682000 101683520 103232000 103272325 106537600 107168000 107403218 108038740 109038800 109684000 111454720 113196200 113866000 114071360 115853725 116539250 118420640 119336192 120224000 121200820 125032960 127104400 132188576 133172000 134201600 135048425 136298500 139318400 139569664 140450362 141495250 142589200 144891136 145748480 148025800 148292768 149170240 151501025 153946832 156291200 157561066 158880500 162693632 163904000 165235720 167752000 172861984 174148000 174462080 175494400 178236500 181113920 182185600 182514176 183665858 183872000 185032250 185365960 186462800 189473024 192433540 193921312 195364000 203367040 206544650 213075200 214336000 214806436 216077480 218077600 219368000 226392400 227732000 228142720 231707450 233078500 236841280 238672384 240448000 240541925 242401640 254208800 264377152 266344000 268403200 268508045 270096850 272597000 278636800 280900724 282990500 285178400 289782272 296051600 296585536 298340480 303002050 307893664 312582400 315122132 317761000 330471440 335504000 345723968 348296000 348924160 350988800 351125905 356473000 362227840 364371200 367331716 370064500 370731920 372925600 378946048 384867080 387842624 390728000 393902665 406734080 413089300 426150400 429612872 432154960 436155200 438736000 452784800 455464000 456285440 459164645 463414900 466157000 473682560 481083850 484803280 508417600 516361625 528754304 532688000 537016090 540193700 545194000 557273600 561801448 565981000 570356800 579268625 592103200 593171072 596680960 606004100 615787328 625164800 630244264 635522000 660942880 671008000 675242125 691447936 696592000 697848320 702251810 712946000 724455680 728742400 734663432 740129000 741463840 745851200 757505125 769734160 775685248 781456000 787805330 813468160 826178600 859225744 864309920 872310400 877472000 905569600 910928000 912570880 912927353 918329290 926829800 932314000 947365120 962167700 969606560 1016835200 1032723250 1057508608 1065376000 1074032180 1080387400 1090388000 1123602896 1131962000 1140713600 1158537250 1184206400 1186342144 1193361920 1193828077 1202709625 1212008200 1231574656 1260488528 1271044000 1321885760 1342016000 1342540225 1350484250 1382895872 1393184000 1404503620 1425892000 1448911360 1469326864 1480258000 1482927680 1491702400 1515010250 1539468320 1551370496 1562912000 1575610660 1652357200 1718451488 1728619840 1744620800 1754944000 1755629525 1811139200 1821856000 1825854706 1836658580 1853659600 1864628000 1894730240 1924335400 1939213120 1969513325 2033670400 2065446500 2115017216 2130752000 2148064360 2160774800 2180776000 2247205792 2263924000 2281427200 2295823225 2317074500 2368412800 2372684288 2387656154 2405419250 2424016400 2463149312 2520977056 2542088000 2643771520 2685080450 2700968500 2765791744 2786368000 2809007240 2851784000 2938653728 2960516000 2965855360 2983404800 3030020500 3078936640 3102740992 3125824000 3151221320 3304714400 3436902976 3457239680 3489241600 3511259050 3622278400 3643712000 3651709412 3673317160 3707319200 3729256000 3848670800 3878426240 3939026650 4067340800 4130893000 4296128720 4321549600 4361552000 4494411584 4527848000 4562854400 4564636765 4591646450 4634149000 4736825600 4775312308 4810838500 4848032800 4926298624 5041954112 5084176000 5287543040 5370160900 5401937000 5618014480 5703568000 5877307456 5921032000 5931710720 5966809600 5969140385 6060041000 6157873280 6302442640 6609428800 6712701125 6873805952 6914479360 7022518100 7244556800 7303418824 7346634320 7414638400 7458512000 7697341600 7756852480 7878053300 8261786000 8592257440 8643099200 8723104000 8778147625 8988823168 9055696000 9129273530 9183292900 9268298000 9473651200 9550624616 9621677000 9696065600 9847566625 10083908224 10168352000 10575086080 10740321800 10803874000 11236028960 11407136000 11479116125 11754614912 11842064000 11863421440 11938280770 12120082000 12315746560 12604885280 13218857600 13425402250 13747611904 13828958720 14045036200 14606837648 14693268640 14829276800 14917024000 15394683200 15513704960 15519765001 15756106600 16523572000 17184514880 17286198400 17446208000 17556295250 17977646336 18111392000 18258547060 18366585800 18536596000 19101249232 19243354000 19392131200 19695133250 20167816448 20336704000 21480643600 21607748000 22472057920 22814272000 22823183825 22958232250 23509229824 23684128000 23876561540 24240164000 24631493120 25209770560 26437715200 26850804500 27495223808 28090072400 29213675296 29386537280 29658553600 29834048000 29845701925 30789366400 31039530002 31512213200 33047144000 34369029760 34572396800 35112590500 35955292672 36222784000 36517094120 36733171600 37073192000 38202498464 38486708000 38784262400 39390266500 40335632896 42961287200 43215496000 44944115840 45646367650 45916464500 47018459648 47368256000 47753123080 48480328000 50419541120 52875430400 53701609000 56180144800 58427350592 58773074560 59317107200 59691403850 61578732800 62079060004 63024426400 66094288000 68738059520 69144793600 70225181000 73034188240 73466343200 74146384000 76404996928 76973416000 77568524800 77598825005 78780533000 85922574400 86430992000 89888231680 91292735300 91832929000 95506246160 96960656000 100839082240 107403218000 112360289600 114115919125 116854701184 117546149120 119382807700 123157465600 124158120008 126048852800 132188576000 137476119040 140450362000 146068376480 146932686400 148292768000 149228509625 152809993856 153946832000 155197650010 157561066000 171845148800 172861984000 179776463360 182585470600 183665858000 191012492320 193921312000 201678164480 214806436000 224720579200 228231838250 233709402368 235092298240 238765615400 248316240016 252097705600 264377152000 280900724000 292136752960 293865372800 296585536000 298457019250 305619987712 307893664000 310395300020 315122132000 343690297600 345723968000 365170941200 367331716000 382024984640 387842624000 387994125025 429612872000 449441158400 456463676500 467418804736 477531230800 496632480032 504195411200 561801448000 584273505920 587730745600 596914038500 611239975424 615787328000 620790600040 630244264000 687380595200 730341882400 734663432000 764049969280 775988250050 859225744000 898882316800 912927353000 955062461600 993264960064 1008390822400 1123602896000 1168547011840 1175461491200 1193828077000 1241581200080 1260488528000 1460683764800 1469326864000 1528099938560 1551976500100 1718451488000 1825854706000 1910124923200 1939970625125 1986529920128 2247205792000 2337094023680 2387656154000 2483162400160 2520977056000 2921367529600 2938653728000 3056199877120 3103953000200 3436902976000 3651709412000 3820249846400 3879941250250 3973059840256 4494411584000 4775312308000 4966324800320 5041954112000 5842735059200 5877307456000 6207906000400 7303418824000 7640499692800 7759882500500 7946119680512 9550624616000 9932649600640 11685470118400 12415812000800 14606837648000 15280999385600 15519765001000 19101249232000 19865299201280 24831624001600 29213675296000 31039530002000 38202498464000 39730598402560 49663248003200 58427350592000 62079060004000 76404996928000 99326496006400 124158120008000 198652992012800 248316240016000 496632480032000 993264960064000
- Sum of all divisors σ(n): 2865222928812816
- Sum of proper divisors (its aliquot sum) s(n): 1871957968748816
- 993264960064000 is an abundant number, because the sum of its proper divisors (1871957968748816) is greater than itself. Its abundance is 878693008684816
Bases of 993264960064000
- Binary: 111000011101011110100001010001110011001010000000002
- Hexadecimal: 0x3875E851CCA00
- Base-36: 9S2ZMFVPJ4
Squares and roots of 993264960064000
- 993264960064000 squared (9932649600640002) is 986575280890939514884096000000
- 993264960064000 cubed (9932649600640003) is 979930656974268619590791147028742144000000000
-
The
square root of 993264960064000 is 31516106.3595108461 -
The
cube root of 993264960064000 is 99774.9927659707
Scales and comparisons
How big is 993264960064000?- 993,264,960,064,000 seconds is equal to 31,582,753 years, 18 weeks, 4 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 993,264,960,064,000 would take you about seventy-eight million, nine hundred fifty-six thousand, eight hundred eighty-three 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 993264960064000 cubic inches would be around 8314.6 feet tall.
Recreational maths with 993264960064000
- 993264960064000 backwards is 000460069462399
- The number of decimal digits it has is: 15
- The sum of 993264960064000's digits is 58
- 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 993264960064000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 993264960064000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/993264960064000/
Chicago style:
Numbermatics. 2024. "Number 993264960064000 - Facts about the integer". https://numbermatics.com/n/993264960064000/
The information we have on file for 993264960064000 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 993264960064000, math, Factors of 993264960064000, curriculum, school, college, exams, university, Prime factorization of 993264960064000, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety-three trillion, two hundred sixty-four billion, nine hundred sixty million, sixty-four thousand.