664420995388416000
664,420,995,388,416,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 664420995388416000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
664420995388416000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 664420995388416000:
213 × 3 × 53 × 73 × 251112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 25111 × 25111)See below for interesting mathematical facts about the number 664420995388416000 from the Numbermatics database.
Names of 664420995388416000
- Cardinal: 664420995388416000 can be written as Six hundred sixty-four quadrillion, four hundred twenty trillion, nine hundred ninety-five billion, three hundred eighty-eight million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 6.64420995388416 × 1017
Factors of 664420995388416000
Divisors of 664420995388416000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 280 294 300 320 336 343 350 375 384 392 400 420 448 480 490 500 512 525 560 588 600 640 672 686 700 735 750 768 784 800 840 875 896 960 980 1000 1024 1029 1050 1120 1176 1200 1225 1280 1344 1372 1400 1470 1500 1536 1568 1600 1680 1715 1750 1792 1920 1960 2000 2048 2058 2100 2240 2352 2400 2450 2560 2625 2688 2744 2800 2940 3000 3072 3136 3200 3360 3430 3500 3584 3675 3840 3920 4000 4096 4116 4200 4480 4704 4800 4900 5120 5145 5250 5376 5488 5600 5880 6000 6125 6144 6272 6400 6720 6860 7000 7168 7350 7680 7840 8000 8192 8232 8400 8575 8960 9408 9600 9800 10240 10290 10500 10752 10976 11200 11760 12000 12250 12288 12544 12800 13440 13720 14000 14336 14700 15360 15680 16000 16464 16800 17150 17920 18375 18816 19200 19600 20480 20580 21000 21504 21952 22400 23520 24000 24500 24576 25088 25111 25600 25725 26880 27440 28000 28672 29400 30720 31360 32000 32928 33600 34300 35840 36750 37632 38400 39200 40960 41160 42000 42875 43008 43904 44800 47040 48000 49000 50176 50222 51200 51450 53760 54880 56000 57344 58800 61440 62720 64000 65856 67200 68600 71680 73500 75264 75333 76800 78400 82320 84000 85750 86016 87808 89600 94080 96000 98000 100352 100444 102400 102900 107520 109760 112000 117600 122880 125440 125555 128000 128625 131712 134400 137200 143360 147000 150528 150666 153600 156800 164640 168000 171500 172032 175616 175777 179200 188160 192000 196000 200704 200888 204800 205800 215040 219520 224000 235200 250880 251110 256000 257250 263424 268800 274400 286720 294000 301056 301332 307200 313600 329280 336000 343000 351232 351554 358400 376320 376665 384000 392000 401408 401776 411600 430080 439040 448000 470400 501760 502220 512000 514500 526848 527331 537600 548800 588000 602112 602664 614400 627200 627775 658560 672000 686000 702464 703108 716800 752640 753330 768000 784000 803552 823200 860160 878080 878885 896000 940800 1003520 1004440 1024000 1029000 1053696 1054662 1075200 1097600 1176000 1204224 1205328 1230439 1254400 1255550 1317120 1344000 1372000 1404928 1406216 1433600 1505280 1506660 1536000 1568000 1607104 1646400 1756160 1757770 1792000 1881600 1883325 2007040 2008880 2058000 2107392 2109324 2150400 2195200 2352000 2410656 2460878 2508800 2511100 2634240 2636655 2688000 2744000 2809856 2812432 3010560 3013320 3072000 3136000 3138875 3214208 3292800 3512320 3515540 3584000 3691317 3763200 3766650 4017760 4116000 4214784 4218648 4300800 4390400 4394425 4704000 4821312 4921756 5017600 5022200 5268480 5273310 5376000 5488000 5624864 6021120 6026640 6152195 6272000 6277750 6428416 6585600 7024640 7031080 7168000 7382634 7526400 7533300 8035520 8232000 8429568 8437296 8613073 8780800 8788850 9408000 9416625 9642624 9843512 10035200 10044400 10536960 10546620 10752000 10976000 11249728 12053280 12304390 12544000 12555500 12856832 13171200 13183275 14049280 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11864660631936 12106796563200 12359021491600 12913916334080 12976972566180 13229680128000 13241808741000 13559612150784 13842104070592 14124595990400 14830825789920 15133495704000 15448776864500 15496699600896 15819547509248 16142395417600 16221215707725 16949515188480 17302630088240 17655744988000 18079482867712 18538532237400 19370874501120 19774434386560 20177994272000 20763156105888 21186893985600 21628287610300 22599353584640 23173165296750 23729321263872 24213593126400 24718042983200 25827832668160 25953945132360 26459360256000 26483617482000 27035359512875 27119224301568 27684208141184 28249191980800 29661651579840 30266991408000 30897553729000 31639095018496 32284790835200 32442431415450 33899030376960 34605260176480 35311489976000 36158965735424 37077064474800 38741749002240 39548868773120 40355988544000 41526312211776 42373787971200 43256575220600 45198707169280 46346330593500 47458642527744 48427186252800 49436085966400 51907890264720 52967234964000 54070719025750 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282491919808000 296616515798400 316390950184960 322847908352000 324424314154500 332210497694208 338990303769600 346052601764800 370770644748000 379669140221952 387417490022400 395488687731200 415263122117760 423737879712000 432565752206000 442947330258944 451987071692800 474586425277440 484271862528000 494360859664000 519078902647200 542384486031360 553684162823680 564983839616000 593233031596800 632781900369920 645695816704000 648848628309000 664420995388416 677980607539200 692105203529600 741541289496000 759338280443904 790977375462400 830526244235520 847475759424000 865131504412000 885894660517888 903974143385600 949172850554880 968543725056000 988721719328000 1038157805294400 1107368325647360 1129967679232000 1186466063193600 1265563800739840 1297697256618000 1328841990776832 1355961215078400 1384210407059200 1483082578992000 1581954750924800 1661052488471040 1694951518848000 1730263008824000 1771789321035776 1898345701109760 1937087450112000 1977443438656000 2076315610588800 2214736651294720 2259935358464000 2372932126387200 2595394513236000 2657683981553664 2711922430156800 2768420814118400 2966165157984000 3163909501849600 3322104976942080 3389903037696000 3460526017648000 3796691402219520 3954886877312000 4152631221177600 4429473302589440 4519870716928000 4745864252774400 5190789026472000 5315367963107328 5536841628236800 5932330315968000 6327819003699200 6644209953884160 6779806075392000 6921052035296000 7909773754624000 8305262442355200 8858946605178880 9491728505548800 10381578052944000 11073683256473600 11864660631936000 13288419907768320 13559612150784000 13842104070592000 15819547509248000 16610524884710400 18983457011097600 20763156105888000 22147366512947200 23729321263872000 26576839815536640 27684208141184000 31639095018496000 33221049769420800 41526312211776000 44294733025894400 47458642527744000 55368416282368000 66442099538841600 83052624423552000 94917285055488000 110736832564736000 132884199077683200 166105248847104000 221473665129472000 332210497694208000 664420995388416000
- Sum of all divisors σ(n): 2578596113143814400
- Sum of proper divisors (its aliquot sum) s(n): 1914175117755398400
- 664420995388416000 is an abundant number, because the sum of its proper divisors (1914175117755398400) is greater than itself. Its abundance is 1249754122366982400
Bases of 664420995388416000
- Binary: 1001001110000111111101100000000000110111000000100000000000002
- Hexadecimal: 0x9387F6003702000
- Base-36: 51Q5L3ISJ11C
Squares and roots of 664420995388416000
- 664420995388416000 squared (6644209953884160002) is 441455259112933515538706989056000000
- 664420995388416000 cubed (6644209953884160003) is 293312142679266389686684843053524044581175296000000000
-
The
square root of 664420995388416000 is 815120233.7007811021 -
The
cube root of 664420995388416000 is 872598.4740159083
Scales and comparisons
How big is 664420995388416000?- 664,420,995,388,416,000 seconds is equal to 21,126,532,464 years, 14 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 664,420,995,388,416,000 would take you about sixty-three billion, three hundred seventy-nine million, five hundred ninety-seven thousand, three hundred ninety-two 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 664420995388416000 cubic inches would be around 72716.5 feet tall.
Recreational maths with 664420995388416000
- 664420995388416000 backwards is 000614883599024466
- 664420995388416000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 664420995388416000's digits is 75
- More coming soon!
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The information we have on file for 664420995388416000 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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