664007708672000
664,007,708,672,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 664007708672000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1536 divisors.
664007708672000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 664007708672000:
215 × 53 × 72 × 11 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 67 × 67 × 67)See below for interesting mathematical facts about the number 664007708672000 from the Numbermatics database.
Names of 664007708672000
- Cardinal: 664007708672000 can be written as Six hundred sixty-four trillion, seven billion, seven hundred eight million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 6.64007708672 × 1014
Factors of 664007708672000
Divisors of 664007708672000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 67 70 77 80 88 98 100 110 112 125 128 134 140 154 160 175 176 196 200 220 224 245 250 256 268 275 280 308 320 335 350 352 385 392 400 440 448 469 490 500 512 536 539 550 560 616 640 670 700 704 737 770 784 800 875 880 896 938 980 1000 1024 1072 1078 1100 1120 1225 1232 1280 1340 1375 1400 1408 1474 1540 1568 1600 1675 1750 1760 1792 1876 1925 1960 2000 2048 2144 2156 2200 2240 2345 2450 2464 2560 2680 2695 2750 2800 2816 2948 3080 3136 3200 3283 3350 3500 3520 3584 3685 3752 3850 3920 4000 4096 4288 4312 4400 4480 4489 4690 4900 4928 5120 5159 5360 5390 5500 5600 5632 5896 6125 6160 6272 6400 6566 6700 7000 7040 7168 7370 7504 7700 7840 8000 8192 8375 8576 8624 8800 8960 8978 9380 9625 9800 9856 10240 10318 10720 10780 11000 11200 11264 11725 11792 12250 12320 12544 12800 13132 13400 13475 14000 14080 14336 14740 15008 15400 15680 16000 16384 16415 16750 17152 17248 17600 17920 17956 18425 18760 19250 19600 19712 20480 20636 21440 21560 22000 22400 22445 22528 23450 23584 24500 24640 25088 25600 25795 26264 26800 26950 28000 28160 28672 29480 30016 30800 31360 31423 32000 32768 32830 33500 34304 34496 35200 35840 35912 36113 36850 37520 38500 39200 39424 40960 41272 42880 43120 44000 44800 44890 45056 46900 47168 49000 49280 49379 50176 51200 51590 52528 53600 53900 56000 56320 57344 58625 58960 60032 61600 62720 62846 64000 65660 67000 67375 68608 68992 70400 71680 71824 72226 73700 75040 77000 78400 78848 81920 82075 82544 85760 86240 88000 89600 89780 90112 92125 93800 94336 98000 98560 98758 100352 102400 103180 105056 107200 107800 112000 112225 112640 114688 117250 117920 120064 123200 125440 125692 128000 128975 131320 134000 134750 137216 137984 140800 143360 143648 144452 147400 150080 154000 156800 157115 157696 163840 164150 165088 171520 172480 176000 179200 179560 180224 180565 184250 187600 188672 196000 197120 197516 200704 204800 206360 210112 214400 215600 219961 224000 224450 225280 229376 234500 235840 240128 246400 246895 250880 251384 256000 257950 262640 268000 269500 274432 275968 281600 286720 287296 288904 294800 300160 300763 308000 313600 314230 315392 328300 330176 343040 344960 345653 352000 358400 359120 360448 361130 368500 375200 377344 392000 394240 395032 401408 409600 410375 412720 420224 428800 431200 439922 448000 448900 450560 469000 471680 480256 492800 493790 501760 502768 512000 515900 525280 536000 539000 548864 551936 561125 563200 573440 574592 577808 589600 600320 601526 616000 627200 628460 630784 644875 656600 660352 686080 689920 691306 704000 716800 718240 722260 737000 750400 754688 784000 785575 788480 790064 802816 819200 820750 825440 840448 857600 862400 879844 896000 897800 901120 902825 938000 943360 960512 985600 987580 1003520 1005536 1024000 1031800 1050560 1072000 1078000 1097728 1099805 1103872 1122250 1126400 1146880 1149184 1155616 1179200 1200640 1203052 1232000 1234475 1254400 1256920 1261568 1289750 1313200 1320704 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21996100 22077440 22121792 22528000 22983680 23112320 23158751 23584000 24012800 24061040 24150016 24195710 24689500 25088000 25138400 25282048 26264000 26414080 26467144 26894336 27443200 27495125 27596800 27652240 28155008 28672000 28729600 28890400 29474774 30016000 30076300 30187520 31423000 31539200 31602560 32177152 33017600 33083930 33617920 33685456 34304000 34496000 34565300 35193760 35912000 36113000 36773888 36979712 37595375 37734400 38420480 38497664 38713136 39424000 39503200 40140800 40221440 41272000 42022400 42106820 42262528 43206625 43992200 44154880 44243584 45056000 45967360 46224640 46317502 47168000 48025600 48122080 48391420 49379000 50176000 50276800 50564096 52528000 52633525 52828160 52934288 53788672 54886400 54990250 55193600 55304480 56310016 57459200 57780800 58949548 60032000 60152600 60375040 60489275 62846000 63078400 63205120 64354304 66035200 66167860 67235840 67370912 68608000 68992000 69130600 70387520 71824000 72226000 73547776 73686935 73959424 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809025536 810556285 827098250 840448000 842136400 845250560 846948608 879844000 884871680 900960256 919347200 924492800 926350040 943192768 960512000 962441600 967828400 1005536000 1011281920 1029668864 1052670500 1056563200 1058685760 1077934592 1103872000 1106089600 1126200320 1149184000 1155616000 1157937550 1178990960 1183350784 1203052000 1209785500 1231925248 1238820352 1264102400 1287086080 1296890056 1320704000 1323357200 1344716800 1347418240 1382612000 1407750400 1415794688 1473738700 1479188480 1482160064 1509376000 1539906560 1548525440 1580128000 1608857600 1618051072 1621112570 1654196500 1680896000 1684272800 1693897216 1759688000 1769743360 1801920512 1838694400 1842173375 1848985600 1852700080 1886385536 1921024000 1924883200 1935656800 2011072000 2022563840 2105341000 2113126400 2117371520 2155869184 2207744000 2212179200 2252400640 2298368000 2311232000 2315875100 2357981920 2406104000 2419571000 2463850496 2477640704 2528204800 2574172160 2593780112 2641408000 2646714400 2689433600 2694836480 2765224000 2815500800 2831589376 2894843875 2947477400 2958376960 2964320128 3018752000 3079813120 3097050880 3160256000 3217715200 3242225140 3308393000 3361792000 3368545600 3387794432 3519376000 3539486720 3603841024 3677388800 3684346750 3697971200 3705400160 3772771072 3849766400 3871313600 4022144000 4045127680 4052781425 4210682000 4226252800 4234743040 4311738368 4424358400 4504801280 4596736000 4622464000 4631750200 4715963840 4812208000 4839142000 4927700992 4955281408 5056409600 5148344320 5187560224 5282816000 5293428800 5389672960 5530448000 5631001600 5663178752 5789687750 5894954800 5916753920 5928640256 6159626240 6194101760 6320512000 6435430400 6484450280 6616786000 6723584000 6737091200 6775588864 7038752000 7078973440 7207682048 7368693500 7395942400 7410800320 7545542144 7699532800 7742627200 8044288000 8090255360 8105562850 8421364000 8469486080 8623476736 8848716800 9009602560 9193472000 9244928000 9263500400 9431927680 9624416000 9678284000 9855401984 9910562816 10112819200 10375120448 10565632000 10586857600 10779345920 11060896000 11262003200 11326357504 11579375500 11789909600 11857280512 12319252480 12388203520 12641024000 12870860800 12968900560 13233572000 13447168000 13474182400 13551177728 14077504000 14157946880 14737387000 14791884800 14821600640 15091084288 15399065600 15485254400 16088576000 16211125700 16842728000 16938972160 17246953472 17697433600 18019205120 18386944000 18489856000 18527000800 18863855360 19248832000 19356568000 19821125632 20225638400 20263907125 20750240896 21131264000 21173715200 21558691840 22121792000 22524006400 23158751000 23579819200 23714561024 24638504960 24776407040 25282048000 25741721600 25937801120 26467144000 26948364800 27102355456 28155008000 28315893760 29474774000 29583769600 29643201280 30182168576 30798131200 30970508800 32177152000 32422251400 33685456000 33877944320 34493906944 35394867200 36038410240 36979712000 37054001600 37727710720 38497664000 38713136000 39642251264 40451276800 40527814250 41500481792 42347430400 43117383680 44243584000 45048012800 46317502000 47159638400 47429122048 49277009920 49552814080 50564096000 51875602240 52934288000 53896729600 54204710912 56310016000 56631787520 58949548000 59286402560 60364337152 61596262400 61941017600 64354304000 64844502800 67370912000 67755888640 68987813888 70789734400 73959424000 74108003200 75455421440 76995328000 77426272000 79284502528 81055628500 83000963584 84694860800 86234767360 88487168000 90096025600 92635004000 94319276800 94858244096 99105628160 101128192000 103751204480 105868576000 107793459200 108409421824 112620032000 117899096000 118572805120 120728674304 123192524800 123882035200 128708608000 129689005600 134741824000 135511777280 141579468800 147918848000 148216006400 150910842880 153990656000 154852544000 162111257000 166001927168 169389721600 172469534720 176974336000 180192051200 185270008000 188638553600 189716488192 198211256320 202256384000 207502408960 211737152000 215586918400 225240064000 235798192000 237145610240 241457348608 246385049600 247764070400 259378011200 269483648000 271023554560 283158937600 296432012800 301821685760 307981312000 309705088000 324222514000 332003854336 338779443200 344939069440 353948672000 370540016000 377277107200 379432976384 396422512640 415004817920 423474304000 431173836800 450480128000 471596384000 474291220480 482914697216 495528140800 518756022400 538967296000 542047109120 592864025600 603643371520 615962624000 619410176000 648445028000 664007708672 677558886400 707897344000 741080032000 754554214400 758865952768 830009635840 846948608000 862347673600 900960256000 943192768000 948582440960 991056281600 1037512044800 1077934592000 1185728051200 1207286743040 1231925248000 1238820352000 1296890056000 1328015417344 1355117772800 1415794688000 1482160064000 1509108428800 1660019271680 1693897216000 1724695347200 1886385536000 1897164881920 1982112563200 2075024089600 2155869184000 2371456102400 2414573486080 2477640704000 2593780112000 2656030834688 2710235545600 2964320128000 3018216857600 3320038543360 3387794432000 3772771072000 3794329763840 4150048179200 4311738368000 4742912204800 4955281408000 5187560224000 5312061669376 5928640256000 6036433715200 6640077086720 6775588864000 7545542144000 8300096358400 8623476736000 9485824409600 9910562816000 10375120448000 11857280512000 12072867430400 13280154173440 13551177728000 15091084288000 16600192716800 18971648819200 20750240896000 23714561024000 26560308346880 30182168576000 33200385433600 41500481792000 47429122048000 60364337152000 66400770867200 83000963584000 94858244096000 132801541734400 166001927168000 332003854336000 664007708672000
- Sum of all divisors σ(n): 2135055936124800
- Sum of proper divisors (its aliquot sum) s(n): 1471048227452800
- 664007708672000 is an abundant number, because the sum of its proper divisors (1471048227452800) is greater than itself. Its abundance is 807040518780800
Bases of 664007708672000
- Binary: 100101101111101001010101111001101010000000000000002
- Hexadecimal: 0x25BE9579A8000
- Base-36: 6JDCXHKLQ8
Squares and roots of 664007708672000
- 664007708672000 squared (6640077086720002) is 440906237175839624003584000000
- 664007708672000 cubed (6640077086720003) is 292765140286322653092365822955880448000000000
-
The
square root of 664007708672000 is 25768347.0302617587 -
The
cube root of 664007708672000 is 87241.7510359431
Scales and comparisons
How big is 664007708672000?- 664,007,708,672,000 seconds is equal to 21,113,391 years, 11 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
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To count from 1 to 664,007,708,672,000 would take you about fifty-two million, seven hundred eighty-three thousand, four hundred seventy-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 664007708672000 cubic inches would be around 7270.1 feet tall.
Recreational maths with 664007708672000
- 664007708672000 backwards is 000276807700466
- The number of decimal digits it has is: 15
- The sum of 664007708672000's digits is 53
- More coming soon!
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The information we have on file for 664007708672000 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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