768147628608000
768,147,628,608,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 768147628608000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
768147628608000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 768147628608000:
29 × 32 × 53 × 173 × 5212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 17 × 521 × 521)See below for interesting mathematical facts about the number 768147628608000 from the Numbermatics database.
Names of 768147628608000
- Cardinal: 768147628608000 can be written as Seven hundred sixty-eight trillion, one hundred forty-seven billion, six hundred twenty-eight million, six hundred eight thousand.
Scientific notation
- Scientific notation: 7.68147628608 × 1014
Factors of 768147628608000
Divisors of 768147628608000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 85 90 96 100 102 120 125 128 136 144 150 153 160 170 180 192 200 204 225 240 250 255 256 272 288 289 300 306 320 340 360 375 384 400 408 425 450 480 500 510 512 521 544 576 578 600 612 640 680 720 750 765 768 800 816 850 867 900 960 1000 1020 1042 1088 1125 1152 1156 1200 1224 1275 1280 1360 1440 1445 1500 1530 1536 1563 1600 1632 1700 1734 1800 1920 2000 2040 2084 2125 2176 2250 2304 2312 2400 2448 2550 2560 2601 2605 2720 2880 2890 3000 3060 3126 3200 3264 3400 3468 3600 3825 3840 4000 4080 4168 4250 4335 4352 4500 4608 4624 4689 4800 4896 4913 5100 5202 5210 5440 5760 5780 6000 6120 6252 6375 6400 6528 6800 6936 7200 7225 7650 7680 7815 8000 8160 8336 8500 8670 8704 8857 9000 9248 9378 9600 9792 9826 10200 10404 10420 10880 11520 11560 12000 12240 12504 12750 12800 13005 13025 13056 13600 13872 14400 14450 14739 15300 15630 16000 16320 16672 17000 17340 17714 18000 18496 18756 19125 19200 19584 19652 20400 20808 20840 21675 21760 23040 23120 23445 24000 24480 24565 25008 25500 26010 26050 26112 26571 27200 27744 28800 28900 29478 30600 31260 32000 32640 33344 34000 34680 35428 36000 36125 36992 37512 38250 38400 39075 39168 39304 40800 41616 41680 43350 43520 44217 44285 46240 46890 48000 48960 49130 50016 51000 52020 52100 53142 54400 55488 57600 57800 58956 61200 62520 64000 65025 65125 65280 66688 68000 69360 70856 72000 72250 73695 73984 75024 76500 78150 78336 78608 79713 81600 83232 83360 86700 88434 88570 92480 93780 96000 97920 98260 100032 102000 104040 104200 106284 108375 108800 110976 115200 115600 117225 117912 122400 122825 125040 130050 130250 130560 132855 133376 136000 138720 141712 144000 144500 147390 147968 150048 150569 153000 156300 157216 159426 163200 166464 166720 173400 176868 177140 184960 187560 192000 195375 195840 196520 200064 204000 208080 208400 212568 216750 217600 221085 221425 221952 231200 234450 235824 244800 245650 250080 260100 260500 265710 266752 271441 272000 277440 283424 288000 289000 294780 300096 301138 306000 312600 314432 318852 325125 326400 332928 333440 346800 353736 354280 368475 369920 375120 390750 391680 393040 398565 400128 408000 416160 416800 425136 433500 442170 442850 443904 451707 462400 468900 471648 489600 491300 500160 520200 521000 531420 542882 544000 554880 566848 576000 578000 586125 589560 600192 602276 612000 614125 625200 628864 637704 650250 652800 664275 665856 666880 693600 707472 708560 736950 739840 750240 752845 781500 786080 797130 800256 814323 816000 832320 833600 850272 867000 884340 885700 903414 924800 937800 943296 979200 982600 1000320 1040400 1042000 1062840 1085764 1088000 1105425 1107125 1109760 1133696 1156000 1172250 1179120 1200384 1204552 1224000 1228250 1250400 1257728 1275408 1300500 1328550 1331712 1333760 1355121 1357205 1387200 1414944 1417120 1473900 1500480 1505690 1563000 1572160 1594260 1628646 1632000 1664640 1667200 1700544 1734000 1768680 1771400 1806828 1842375 1849600 1875600 1886592 1958400 1965200 1992825 2000640 2080800 2084000 2125680 2171528 2210850 2214250 2219520 2258535 2267392 2312000 2344500 2358240 2400768 2409104 2442969 2448000 2456500 2500800 2515456 2550816 2559673 2601000 2657100 2710242 2714410 2774400 2829888 2834240 2947800 3000960 3011380 3126000 3144320 3188520 3257292 3264000 3321375 3329280 3334400 3401088 3468000 3537360 3542800 3613656 3684750 3699200 3751200 3764225 3773184 3930400 3985650 4001280 4071615 4161600 4168000 4251360 4343056 4421700 4428500 4517070 4534784 4614497 4624000 4689000 4716480 4818208 4885938 4896000 4913000 5001600 5101632 5119346 5202000 5314200 5420484 5428820 5527125 5548800 5659776 5668480 5895600 6001920 6022760 6252000 6288640 6377040 6514584 6642750 6658560 6668800 6775605 6786025 6802176 6936000 7074720 7085600 7227312 7369500 7502400 7528450 7546368 7679019 7860800 7971300 8143230 8323200 8336000 8502720 8686112 8843400 8857000 9034140 9228994 9248000 9378000 9432960 9636416 9771876 9792000 9826000 9964125 10003200 10203264 10238692 10404000 10628400 10840968 10857640 11054250 11097600 11292675 11319552 11336960 11791200 12003840 12045520 12214845 12504000 12577280 12754080 12798365 13029168 13285500 13551210 13572050 13604352 13843491 13872000 14149440 14171200 14454624 14739000 15004800 15056900 15358038 15721600 15942600 16286460 16646400 16672000 17005440 17372224 17686800 17714000 18068280 18457988 18496000 18756000 18821125 18865920 19272832 19543752 19652000 19928250 20006400 20358075 20406528 20477384 20808000 21256800 21681936 21715280 22108500 22585350 22639104 22673920 23037057 23072485 23582400 24091040 24429690 25008000 25508160 25596730 26058336 26571000 27102420 27144100 27686982 27744000 28298880 28342400 28909248 29478000 30009600 30113800 30716076 31443200 31885200 32572920 33292800 33344000 33878025 33930125 34010880 34744448 35373600 35428000 36136560 36915976 37512000 37642250 37731840 38395095 38545664 39087504 39304000 39856500 40716150 40813056 40954768 41530473 41616000 42513600 43363872 43430560 44217000 45170700 46074114 46144970 47164800 48182080 48859380 50016000 51016320 51193460 52116672 53142000 54204840 54288200 55373964 55488000 56463375 56597760 56684800 57818496 58956000 60019200 60227600 61074225 61432152 62886400 63770400 63991825 65145840 67756050 67860250 68021760 69217455 69488896 70747200 70856000 72273120 73831952 75024000 75284500 76790190 77091328 78175008 78446449 78608000 79713000 81432300 81909536 83060946 83232000 85027200 86727744 86861120 88434000 90341400 92148228 92289940 94329600 96364160 97718760 100032000 101790375 102032640 102386920 104233344 106284000 108409680 108576400 110747928 112926750 113195520 113369600 115185285 115362425 115636992 117912000 120455200 122148450 122864304 127540800 127983650 130291680 135512100 135720500 138434910 138977792 141494400 141712000 144546240 147663904 150048000 150569000 153580380 156350016 156892898 157216000 159426000 162864600 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627571592 637704000 639918250 651458400 655276288 664487568 677560500 692174550 693821952 694888960 706018041 707472000 722731200 737185824 738319520 767901900 781750080 784464490 814323000 819095360 830609460 850272000 867277440 868611200 885983424 903414000 921482280 922899400 941357388 943296000 959877375 963641600 977187600 982914432 1020326400 1023869200 1038261825 1042333440 1084096800 1085764000 1107479280 1151852850 1153624250 1156369920 1176696735 1181311232 1204552000 1221484500 1228643040 1250800128 1255143184 1275408000 1279836500 1302916800 1310552576 1328975136 1333589633 1355121000 1384349100 1412036082 1414944000 1445462400 1474371648 1476639040 1535803800 1563500160 1568928980 1628646000 1638190720 1661218920 1700544000 1730436375 1734554880 1737222400 1771966848 1806828000 1842964560 1845798800 1882714776 1919754750 1927283200 1954375200 1961161225 1965828864 2047738400 2076523650 2084666880 2168193600 2171528000 2214958560 2303705700 2307248500 2353393470 2362622464 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9805806125 9829144320 10041145472 10238692000 10382618250 10423334400 10631801088 10668717064 10840968000 11074792800 11296288656 11518528500 11766967350 11794973184 11813112320 12002306697 12286430400 12551431840 13029168000 13289751360 13335896330 13843491000 14120360820 14454624000 14743716480 14766390400 15061718208 15358038000 15635001600 15689289800 16003075596 16381907200 16612189200 17345548800 17372224000 17650451025 17719668480 18429645600 18457988000 18827147760 19543752000 19611612250 19658288640 20003844495 20082290944 20477384000 20765236500 21263602176 21337434128 21681936000 22149585600 22592577312 23037057000 23533934700 24004613394 24572860800 25102863680 26058336000 26579502720 26671792660 27686982000 28240721640 28909248000 29417418375 29487432960 29532780800 30123436416 30716076000 31270003200 31378579600 32006151192 32763814400 33224378400 33339740825 35300902050 35439336960 36859291200 36915976000 37654295520 39087504000 39223224500 40007688990 40164581888 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235339347000 240046133940 245728608000 251028636800 256049209536 265795027200 266717926600 282407216400 294874329600 295327808000 300057667425 301234364160 313785796000 320061511920 332243784000 333397408250 341398946048 353009020500 361481236992 368592912000 376542955200 384073814304 400076889900 426748682560 442991712000 451851546240 470678694000 480092267880 491457216000 500096112375 502057273600 512098419072 531590054400 533435853200 564814432800 600115334850 602468728320 627571592000 640123023840 664487568000 666794816500 682797892096 706018041000 737185824000 753085910400 768147628608 800153779800 853497365120 885983424000 903703092480 941357388000 960184535760 1000192224750 1004114547200 1024196838144 1066871706400 1129628865600 1200230669700 1255143184000 1280246047680 1328975136000 1333589633000 1412036082000 1474371648000 1500288337125 1506171820800 1536295257216 1600307559600 1706994730240 1807406184960 1882714776000 1920369071520 2000384449500 2048393676288 2133743412800 2259257731200 2400461339400 2510286368000 2560492095360 2657950272000 2667179266000 2824072164000 3000576674250 3012343641600 3072590514432 3200615119200 3413989460480 3765429552000 3840738143040 4000768899000 4267486825600 4518515462400 4800922678800 5020572736000 5120984190720 5334358532000 5648144328000 6001153348500 6145181028864 6401230238400 7530859104000 7681476286080 8001537798000 8534973651200 9037030924800 9601845357600 10241968381440 10668717064000 11296288656000 12002306697000 12802460476800 15061718208000 15362952572160 16003075596000 17069947302400 19203690715200 21337434128000 22592577312000 24004613394000 25604920953600 30725905144320 32006151192000 38407381430400 42674868256000 45185154624000 48009226788000 51209841907200 64012302384000 76814762860800 85349736512000 96018453576000 128024604768000 153629525721600 192036907152000 256049209536000 384073814304000 768147628608000
- Sum of all divisors σ(n): 2945261840217840
- Sum of proper divisors (its aliquot sum) s(n): 2177114211609840
- 768147628608000 is an abundant number, because the sum of its proper divisors (2177114211609840) is greater than itself. Its abundance is 1408966583001840
Bases of 768147628608000
- Binary: 101011101010100000010011101000100111001010000000002
- Hexadecimal: 0x2BAA04E89CA00
- Base-36: 7KAA5D37K0
Squares and roots of 768147628608000
- 768147628608000 squared (7681476286080002) is 590050779336093900017664000000
- 768147628608000 cubed (7681476286080003) is 453246106905322817920182850911731712000000000
-
The
square root of 768147628608000 is 27715476.3373823327 -
The
cube root of 768147628608000 is 91583.0068259039
Scales and comparisons
How big is 768147628608000?- 768,147,628,608,000 seconds is equal to 24,424,718 years, 28 weeks, 5 days, 8 hours.
-
To count from 1 to 768,147,628,608,000 would take you about sixty-one million, sixty-one thousand, seven hundred ninety-six 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 768147628608000 cubic inches would be around 7631.9 feet tall.
Recreational maths with 768147628608000
- 768147628608000 backwards is 000806826741867
- The number of decimal digits it has is: 15
- The sum of 768147628608000's digits is 63
- More coming soon!
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The information we have on file for 768147628608000 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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