138135970756000
138,135,970,756,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138135970756000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
138135970756000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138135970756000:
25 × 53 × 72 × 23 × 73 × 109 × 3851
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 23 × 73 × 109 × 3851)See below for interesting mathematical facts about the number 138135970756000 from the Numbermatics database.
Names of 138135970756000
- Cardinal: 138135970756000 can be written as One hundred thirty-eight trillion, one hundred thirty-five billion, nine hundred seventy million, seven hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.38135970756 × 1014
Factors of 138135970756000
Divisors of 138135970756000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 49 50 56 70 73 80 92 98 100 109 112 115 125 140 146 160 161 175 184 196 200 218 224 230 245 250 280 292 322 350 365 368 392 400 436 460 490 500 511 545 560 575 584 644 700 730 736 763 784 800 805 872 875 920 980 1000 1022 1090 1120 1127 1150 1168 1225 1288 1400 1460 1526 1568 1610 1679 1744 1750 1825 1840 1960 2000 2044 2180 2254 2300 2336 2450 2507 2555 2576 2725 2800 2875 2920 3052 3220 3358 3488 3500 3577 3650 3680 3815 3851 3920 4000 4025 4088 4360 4508 4600 4900 5014 5110 5152 5341 5450 5600 5635 5750 5840 6104 6125 6440 6716 7000 7154 7300 7630 7702 7840 7957 8050 8176 8395 8720 9016 9125 9200 9800 10028 10220 10682 10900 11270 11500 11680 11753 12208 12250 12535 12775 12880 13432 13625 14000 14308 14600 15260 15404 15914 16100 16352 16790 17440 17549 17885 18032 18250 18400 19075 19255 19600 20056 20125 20440 21364 21800 22540 23000 23506 24416 24500 25070 25550 25760 26705 26864 26957 27250 28000 28175 28616 29200 30520 30808 31828 32200 33580 35098 35770 36064 36500 38150 38510 39200 39785 40112 40250 40880 41975 42728 43600 45080 46000 47012 49000 50140 51100 53410 53728 53914 54500 55699 56350 57232 58400 58765 61040 61616 62675 63656 63875 64400 67160 70196 71540 73000 76300 77020 79570 80224 80500 81760 82271 83950 85456 87200 87745 88573 89425 90160 92000 94024 95375 96275 98000 100280 102200 106820 107828 109000 111398 112700 114464 117530 122080 122843 123232 125350 127312 127750 128800 133525 134320 134785 140392 140875 143080 146000 152600 154040 159140 161000 164542 167900 170912 175490 177146 178850 180320 183011 188048 188699 190750 192550 196000 198925 200560 204400 209875 213640 215656 218000 222796 225400 235060 245686 250700 254624 255500 267050 268640 269570 278495 280784 281123 281750 286160 292000 293825 305200 308080 313375 318280 322000 329084 335800 350980 354292 357700 366022 376096 377398 381500 385100 389893 397850 401120 408800 411355 419750 419759 427280 431312 436000 438725 442865 445592 447125 450800 470120 481375 491372 501400 511000 534100 539140 556990 561568 562246 563500 572320 587650 610400 614215 616160 620011 626750 636560 644000 658168 667625 671600 673925 701960 708584 715400 732044 754796 763000 770200 779786 795700 822710 839500 839518 854560 862624 877450 885730 891184 894250 901600 915055 940240 943495 962750 982744 994625 1002800 1022000 1068200 1078280 1113980 1124492 1127000 1175300 1228430 1240022 1253500 1273120 1281077 1316336 1335250 1343200 1347850 1392475 1403920 1405615 1417168 1430800 1464088 1469125 1509592 1526000 1540400 1559572 1591400 1645420 1679000 1679036 1754900 1771460 1782368 1788500 1830110 1880480 1886990 1925500 1949465 1965488 1967861 1989250 2005600 2044000 2056775 2098795 2136400 2156560 2193625 2214325 2227960 2248984 2254000 2350600 2456860 2480044 2507000 2562154 2632672 2670500 2695700 2784950 2807840 2811230 2834336 2861600 2928176 2938250 2938313 3019184 3052000 3071075 3080800 3100055 3119144 3182800 3290840 3358000 3358072 3369625 3509800 3542920 3577000 3660220 3773980 3851000 3898930 3930976 3935722 3978500 4113550 4197590 4272800 4313120 4340077 4387250 4428650 4455920 4497968 4508000 4575275 4701200 4717475 4913720 4960088 5014000 5124308 5341000 5391400 5569900 5622460 5856352 5876500 5876626 6038368 6142150 6200110 6238288 6365600 6405385 6465829 6581680 6716000 6716144 6739250 6962375 7019600 7028075 7085840 7154000 7320440 7547960 7702000 7797860 7871444 7957000 8227100 8395180 8680154 8774500 8857300 8911840 8967539 8995936 9150550 9402400 9434950 9654457 9747325 9827440 9839305 9920176 10028000 10248616 10283875 10493975 10682000 10782800 11071625 11139800 11244920 11753000 11753252 12284300 12400220 12476576 12810770 12931658 13163360 13432288 13478500 13775027 13924750 14039200 14056150 14171680 14308000 14640880 14691565 15095920 15355375 15404000 15500275 15595720 15742888 15914000 16454200 16790360 17360308 17549000 17714600 17935078 18301100 18869900 19308914 19494650 19654880 19678610 19840352 20497232 20567750 20568191 20987950 21364000 21565600 21700385 22143250 22279600 22489840 22876375 23506000 23506504 23587375 24568600 24800440 25621540 25863316 26957000 27550054 27849500 28112300 29281760 29383130 30191840 30642407 30710750 31000550 31191440 31485776 31828000 32026925 32329145 32908400 33580720 34720616 35098000 35140375 35429200 35870156 36602200 37739800 38617828 38989300 39357220 40994464 41135500 41136382 41975900 43400770 44286500 44559200 44837695 44979680 45260803 45752750 47012000 47013008 47174750 48272285 48736625 49137200 49196525 49600880 51243080 51726632 52469875 53914000 55100108 55699000 56224600 58766260 61284814 61421500 62001100 62382880 62971552 64053850 64658290 65816800 67161440 67581199 68875135 69441232 70196000 70280750 70858400 71740312 73204400 73457825 75479600 77235656 77501375 77978600 78714440 82271000 82272764 83951800 86801540 88573000 89675390 90521606 91505500 94026016 94349500 96544570 97473250 98274400 98393050 99201760 102486160 102840955 103453264 104939750 107828000 108501925 110200216 111398000 112449200 117532520 122569628 122843000 124002200 128107700 129316580 135162398 137750270 138882464 140561500 143480624 146408800 146915650 150959200 153212035 154471312 155002750 155957200 157428880 160134625 161645725 164542000 164545528 167903600 173603080 177146000 179350780 181043212 183011000 188699000 193089140 194946500 196786100 204972320 205681910 206906528 209879500 214496849 217003850 220400432 222796000 224188475 224898400 226304015 235065040 241361425 245139256 245686000 245982625 248004400 256215400 258633160 270324796 275500540 281123000 286961248 293831300 306424070 308942624 310005500 311914400 314857760 316825621 320269250 323291450 329084000 329091056 335807200 337905995 344375675 347206160 354292000 358701560 362086424 366022000 367289125 377398000 386178280 389893000 393572200 411363820 419759000 428993698 434007700 440800864 448376950 452608030 470130080 473068393 482722850 490278512 491372000 491965250 496008800 512430800 514204775 517266320 540649592 542509625 551001080 562246000 587662600 612848140 620011000 633651242 640538500 646582900 658182112 675811990 688751350 694412320 704775361 717403120 724172848 732044000 734578250 754796000 766060175 772356560 779786000 787144400 808228625 822727640 839518000 857987396 868015400 896753900 905216060 946136786 965445700 980557024 983930500 1024861600 1028409550 1034532640 1072484245 1081299184 1085019250 1102002160 1120942375 1124492000 1131520075 1175325200 1206807125 1225696280 1240022000 1267302484 1281077000 1293165800 1351623980 1377502700 1409550722 1434806240 1448345696 1469156500 1501477943 1532120350 1544713120 1559572000 1574288800 1584128105 1616457250 1645455280 1679036000 1689529975 1715974792 1721878375 1736030800 1793507800 1810432120 1892273572 1930891400 1967861000 2056819100 2144968490 2162598368 2170038500 2204004320 2241884750 2263040150 2350650400 2365341965 2413614250 2451392560 2480044000 2534604968 2562154000 2571023875 2586331600 2703247960 2755005400 2819101444 2938313000 3002955886 3064240700 3168256210 3232914500 3290910560 3379059950 3431949584 3443756750 3472061600 3523876805 3587015600 3620864240 3784547144 3830300875 3861782800 3935722000 4113638200 4289936980 4340077000 4483769500 4526080300 4730683930 4827228500 4902785120 4933427527 5069209936 5124308000 5142047750 5172663200 5362421225 5406495920 5510010800 5638202888 5657600375 5876626000 6005911772 6128481400 6336512420 6465829000 6758119900 6863899168 6887513500 7047753610 7174031200 7241728480 7507389715 7569094288 7660601750 7723565600 7871444000 7920640525 8227276400 8447649875 8579873960 8680154000 8967539000 9052160600 9461367860 9654457000 9866855054 10138419872 10284095500 10724842450 10812991840 11020021600 11276405776 11315200750 11753252000 11826709825 12011823544 12256962800 12673024840 12931658000 13516239800 13775027000 14095507220 15014779430 15138188576 15321203500 15841281050 16454552800 16895299750 17159747920 17360308000 17619384025 17935078000 18104321200 18922735720 19308914000 19733710108 20568191000 21449684900 22552811552 22630401500 23653419650 24023647088 24513925600 24667137635 25346049680 25863316000 26812106125 27032479600 27550054000 28191014440 30029558860 30642407000 31682562100 33790599500 34319495840 34533992689 35238768050 35870156000 36208642400 37536948575 37845471440 38617828000 39467420216 39603202625 41136382000 42899369800 45260803000 47306839300 48047294176 49334275270 50692099360 53624212250 54064959200 55100108000 56382028880 59133549125 60059117720 61284814000 63365124200 67581199000 69067985378 70477536100 75073897150 75690942880 78934840432 79206405250 82272764000 85798739600 88096920125 90521606000 94613678600 98668550540 107248424500 112764057760 118267098250 120118235440 122569628000 123335688175 126730248400 135162398000 138135970756 140955072200 150147794300 157869680864 158412810500 171597479200 172669963445 176193840250 181043212000 187684742875 189227357200 197337101080 214496849000 236534196500 240236470880 246671376350 253460496800 270324796000 276271941512 281910144400 300295588600 316825621000 345339926890 352387680500 375369485750 378454714400 394674202160 428993698000 473068393000 493342752700 552543883024 563820288800 600591177200 616678440875 633651242000 690679853780 704775361000 750738971500 789348404320 857987396000 863349817225 946136786000 986685505400 1105087766048 1201182354400 1233356881750 1267302484000 1381359707560 1409550722000 1501477943000 1726699634450 1892273572000 1973371010800 2466713763500 2762719415120 2819101444000 3002955886000 3453399268900 3946742021600 4316749086125 4933427527000 5525438830240 6005911772000 6906798537800 8633498172250 9866855054000 13813597075600 17266996344500 19733710108000 27627194151200 34533992689000 69067985378000 138135970756000
- Sum of all divisors σ(n): 421562458437120
- Sum of proper divisors (its aliquot sum) s(n): 283426487681120
- 138135970756000 is an abundant number, because the sum of its proper divisors (283426487681120) is greater than itself. Its abundance is 145290516925120
Bases of 138135970756000
- Binary: 111110110100010010010010111011110110101101000002
- Hexadecimal: 0x7DA24977B5A0
- Base-36: 1CYQSEF89S
Squares and roots of 138135970756000
- 138135970756000 squared (1381359707560002) is 19081546416702487211536000000
- 138135970756000 cubed (1381359707560003) is 2635847937796871363405200881841216000000000
-
The
square root of 138135970756000 is 11753125.9993246053 -
The
cube root of 138135970756000 is 51693.4591547837
Scales and comparisons
How big is 138135970756000?- 138,135,970,756,000 seconds is equal to 4,392,296 years, 30 weeks, 3 days, 19 hours, 46 minutes, 40 seconds.
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To count from 1 to 138,135,970,756,000 would take you about ten million, nine hundred eighty thousand, seven hundred forty-one 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 138135970756000 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138135970756000
- 138135970756000 backwards is 000657079531831
- The number of decimal digits it has is: 15
- The sum of 138135970756000's digits is 55
- More coming soon!
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The information we have on file for 138135970756000 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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