137894397408000
137,894,397,408,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137894397408000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1512 divisors.
137894397408000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 137894397408000:
28 × 36 × 53 × 312 × 6151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 6151)See below for interesting mathematical facts about the number 137894397408000 from the Numbermatics database.
Names of 137894397408000
- Cardinal: 137894397408000 can be written as One hundred thirty-seven trillion, eight hundred ninety-four billion, three hundred ninety-seven million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.37894397408 × 1014
Factors of 137894397408000
Divisors of 137894397408000
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 81 90 93 96 100 108 120 124 125 128 135 144 150 155 160 162 180 186 192 200 216 225 240 243 248 250 256 270 279 288 300 310 320 324 360 372 375 384 400 405 432 450 465 480 486 496 500 540 558 576 600 620 640 648 675 720 729 744 750 768 775 800 810 837 864 900 930 960 961 972 992 1000 1080 1116 1125 1152 1200 1215 1240 1280 1296 1350 1395 1440 1458 1488 1500 1550 1600 1620 1674 1728 1800 1860 1920 1922 1944 1984 2000 2025 2160 2232 2250 2304 2325 2400 2430 2480 2511 2592 2700 2790 2880 2883 2916 2976 3000 3100 3200 3240 3348 3375 3456 3600 3645 3720 3840 3844 3875 3888 3968 4000 4050 4185 4320 4464 4500 4650 4800 4805 4860 4960 5022 5184 5400 5580 5760 5766 5832 5952 6000 6075 6151 6200 6400 6480 6696 6750 6912 6975 7200 7290 7440 7533 7688 7750 7776 7936 8000 8100 8370 8640 8649 8928 9000 9300 9600 9610 9720 9920 10044 10125 10368 10800 11160 11520 11532 11625 11664 11904 12000 12150 12302 12400 12555 12960 13392 13500 13950 14400 14415 14580 14880 15066 15376 15500 15552 16000 16200 16740 17280 17298 17856 18000 18225 18453 18600 19200 19220 19440 19840 20088 20250 20736 20925 21600 22320 22599 23064 23250 23328 23808 24000 24025 24300 24604 24800 25110 25920 25947 26784 27000 27900 28800 28830 29160 29760 30132 30375 30752 30755 31000 31104 32000 32400 33480 34560 34596 34875 35712 36000 36450 36906 37200 37665 38440 38880 39680 40176 40500 41850 43200 43245 44640 45198 46128 46500 46656 48000 48050 48600 49208 49600 50220 51840 51894 53568 54000 55359 55800 57600 57660 58320 59520 60264 60750 61504 61510 62000 62208 62775 64800 66960 69192 69750 71424 72000 72075 72900 73812 74400 75330 76880 77760 77841 80352 81000 83700 86400 86490 89280 90396 91125 92256 92265 93000 93312 96000 96100 97200 98416 99200 100440 103680 103788 104625 107136 108000 110718 111600 112995 115320 116640 119040 120125 120528 121500 123008 123020 124000 125550 129600 129735 133920 138384 139500 144000 144150 145800 147624 148800 150660 153760 153775 155520 155682 160704 162000 166077 167400 172800 172980 178560 180792 182250 184512 184530 186000 186624 188325 190681 192200 194400 196832 198400 200880 207576 209250 214272 216000 216225 221436 223200 225990 230640 233280 233523 240250 241056 243000 246016 246040 248000 251100 259200 259470 267840 276768 276795 279000 288000 288300 291600 295248 297600 301320 307520 307550 311040 311364 313875 321408 324000 332154 334800 345960 357120 360375 361584 364500 369024 369060 372000 376650 381362 384400 388800 389205 393664 401760 415152 418500 432000 432450 442872 446400 451980 461280 461325 466560 467046 480500 482112 486000 492080 496000 498231 502200 518400 518940 535680 553536 553590 558000 564975 572043 576600 583200 590496 595200 602640 615040 615100 622728 627750 642816 648000 648675 664308 669600 691920 700569 720750 723168 729000 738048 738120 744000 753300 762724 768800 768875 777600 778410 787328 803520 830304 830385 837000 864000 864900 885744 892800 903960 922560 922650 933120 934092 941625 953405 961000 964224 972000 984160 992000 996462 1004400 1037880 1071360 1081125 1107072 1107180 1116000 1129950 1144086 1153200 1166400 1167615 1180992 1205280 1230080 1230200 1245456 1255500 1296000 1297350 1328616 1339200 1383840 1383975 1401138 1441500 1446336 1458000 1476240 1488000 1494693 1506600 1525448 1537600 1537750 1555200 1556820 1574656 1607040 1660608 1660770 1674000 1716129 1729800 1771488 1785600 1807920 1845120 1845300 1868184 1883250 1906810 1922000 1928448 1944000 1946025 1968320 1992924 2008800 2075760 2162250 2214144 2214360 2232000 2259900 2288172 2306400 2306625 2332800 2335230 2361984 2410560 2460400 2490912 2491155 2511000 2592000 2594700 2657232 2678400 2767680 2767950 2802276 2824875 2860215 2883000 2892672 2916000 2952480 2976000 2989386 3013200 3050896 3075200 3075500 3113640 3214080 3243375 3321216 3321540 3348000 3432258 3459600 3502845 3542976 3615840 3690240 3690600 3736368 3766500 3813620 3844000 3888000 3892050 3936640 3985848 4017600 4151520 4151925 4324500 4428720 4464000 4484079 4519800 4576344 4612800 4613250 4665600 4670460 4723968 4767025 4821120 4920800 4981824 4982310 5022000 5148387 5189400 5314464 5356800 5535360 5535900 5604552 5649750 5720430 5766000 5785344 5832000 5838075 5904960 5911111 5978772 6026400 6101792 6150400 6151000 6227280 6486750 6642432 6643080 6696000 6864516 6919200 6919875 7005690 7085952 7231680 7381200 7472736 7473465 7533000 7627240 7688000 7776000 7784100 7873280 7971696 8035200 8303040 8303850 8580645 8649000 8857440 8928000 8968158 9039600 9152688 9225600 9226500 9340920 9534050 9642240 9730125 9841600 9963648 9964620 10044000 10296774 10378800 10628928 11070720 11071800 11209104 11299500 11440860 11532000 11664000 11676150 11809920 11822222 11957544 12052800 12203584 12302000 12454560 12455775 12973500 13286160 13392000 13729032 13838400 13839750 14011380 14171904 14301075 14463360 14762400 14945472 14946930 15066000 15254480 15376000 15445161 15568200 15943392 16070400 16606080 16607700 17161290 17298000 17514225 17714880 17733333 17936316 18079200 18305376 18451200 18453000 18681840 19068100 19460250 19683200 19927296 19929240 20088000 20593548 20757600 20759625 21257856 22143600 22418208 22420395 22599000 22881720 23064000 23328000 23352300 23619840 23644444 23835125 23915088 24105600 24407168 24604000 24909120 24911550 25741935 25947000 26572320 26784000 27458064 27676800 27679500 28022760 28602150 28926720 29190375 29524800 29555555 29890944 29893860 30132000 30508960 30752000 30890322 31136400 31886784 33212160 33215400 34322580 34596000 35028450 35429760 35466666 35872632 36158400 36610752 36906000 37363680 37367325 38136200 38920500 39366400 39858480 40176000 41187096 41515200 41519250 42515712 42903225 44287200 44836416 44840790 45198000 45763440 46128000 46335483 46704600 47288888 47670250 47830176 48211200 48814336 49208000 49818240 49823100 51483870 51894000 53144640 53199999 54916128 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186836625 189155552 190681000 191320704 196832000 199292400 205935480 207576000 212578560 212799996 214516125 219664512 221436000 224182080 224203950 228817200 231677415 233523000 236444440 239150880 241056000 244071680 247122576 249091200 249115500 257419350 265723200 265999995 274580640 276768000 278012898 280227600 283733328 286021500 286981056 295248000 295555550 298909440 298938600 305089600 308903220 311364000 318867840 319199994 329496768 332154000 343225800 350284500 354297600 354666660 358726320 361584000 366107520 370683864 373636800 373673250 378311104 381362000 382641408 386129025 398584800 411870960 415152000 425599992 429032250 439329024 442872000 443333325 448364160 448407900 457634400 463354830 467046000 472888880 478301760 478799991 494245152 498182400 498231000 514838700 531446400 531999990 549161280 556025796 560455200 560509875 567466656 572043000 573962112 590496000 591111100 597877200 610179200 617806440 622728000 637735680 638399988 643548375 658993536 664308000 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2364444400 2391508800 2393999955 2471225760 2490912000 2553599952 2574193500 2657232000 2659999950 2745806400 2780128980 2802276000 2837333280 2869810560 2872799946 2955555500 2965470912 2989386000 3050896000 3089032200 3188678400 3191999940 3294967680 3404799936 3432258000 3475161225 3546666600 3587263200 3661075200 3706838640 3736368000 3783111040 3830399928 3861290250 3953961216 3985848000 3989999925 4118709600 4255999920 4309199919 4433333250 4448206368 4483641600 4484079000 4539733248 4576344000 4633548300 4728888800 4783017600 4787999910 4942451520 5107199904 5148387000 5314464000 5319999900 5491612800 5560257960 5604552000 5674666560 5739621120 5745599892 5791935375 5911111000 5930941824 5978772000 6101792000 6178064400 6383999880 6589935360 6649999875 6809599872 6864516000 6950322450 7093333200 7174526400 7181999865 7413677280 7472736000 7566222080 7660799856 7722580500 7971696000 7979999850 8237419200 8511999840 8618399838 8866666500 8896412736 8968158000 9152688000 9267096600 9457777600 9566035200 9575999820 9884903040 10214399808 10296774000 10639999800 10983225600 11120515920 11209104000 11349333120 11491199784 11583870750 11822222000 11861883648 11957544000 11969999775 12356128800 12767999760 13299999750 13619199744 13729032000 13900644900 14186666400 14349052800 14363999730 14827354560 15321599712 15445161000 15943392000 15959999700 16474838400 17023999680 17236799676 17375806125 17733333000 17792825472 17936316000 18305376000 18534193200 18915555200 19151999640 19769806080 19949999625 20428799616 20593548000 21279999600 21545999595 22241031840 22418208000 22698666240 22982399568 23167741500 23644444000 23915088000 23939999550 24712257600 25535999520 26599999500 27458064000 27801289800 28373332800 28698105600 28727999460 29654709120 30643199424 30890322000 31919999400 32949676800 34047999360 34473599352 34751612250 35466666000 35585650944 35872632000 35909999325 37068386400 37831110400 38303999280 39899999250 40857599232 41187096000 42559999200 43091999190 44482063680 45964799136 46335483000 47288888000 47830176000 47879999100 49424515200 51071999040 53199999000 54916128000 55602579600 56746665600 57455998920 59309418240 59849998875 61286398848 61780644000 63839998800 68095998720 68947198704 69503224500 70933332000 71745264000 71819998650 74136772800 76607998560 79799998500 82374192000 85119998400 86183998380 88964127360 91929598272 92670966000 94577776000 95759998200 98849030400 102143998080 106399998000 107729997975 111205159200 113493331200 114911997840 119699997750 122572797696 123561288000 127679997600 137894397408 139006449000 141866664000 143490528000 143639997300 148273545600 153215997120 159599997000 164748384000 170239996800 172367996760 177928254720 179549996625 183859196544 185341932000 189155552000 191519996400 204287996160 212799996000 215459995950 222410318400 229823995680 239399995500 247122576000 255359995200 275788794816 278012898000 283733328000 287279994600 296547091200 306431994240 319199994000 340479993600 344735993520 359099993250 367718393088 370683864000 383039992800 425599992000 430919991900 444820636800 459647991360 478799991000 494245152000 510719990400 538649989875 551577589632 556025796000 567466656000 574559989200 612863988480 638399988000 689471987040 718199986500 741367728000 766079985600 851199984000 861839983800 889641273600 919295982720 957599982000 1021439980800 1077299979750 1103155179264 1112051592000 1149119978400 1276799976000 1378943974080 1436399973000 1482735456000 1532159971200 1702399968000 1723679967600 1838591965440 1915199964000 2154599959500 2224103184000 2298239956800 2553599952000 2757887948160 2872799946000 3064319942400 3447359935200 3830399928000 4309199919000 4448206368000 4596479913600 5107199904000 5515775896320 5745599892000 6894719870400 7660799856000 8618399838000 9192959827200 11491199784000 13789439740800 15321599712000 17236799676000 22982399568000 27578879481600 34473599352000 45964799136000 68947198704000 137894397408000
- Sum of all divisors σ(n): 532269076798368
- Sum of proper divisors (its aliquot sum) s(n): 394374679390368
- 137894397408000 is an abundant number, because the sum of its proper divisors (394374679390368) is greater than itself. Its abundance is 256480281982368
Bases of 137894397408000
- Binary: 111110101101010000010101001001011110011000000002
- Hexadecimal: 0x7D6A0A92F300
- Base-36: 1CVNT7W000
Squares and roots of 137894397408000
- 137894397408000 squared (1378943974080002) is 19014864836515437118464000000
- 137894397408000 cubed (1378943974080003) is 2622043328425864635940309190541312000000000
-
The
square root of 137894397408000 is 11742844.5194509835 -
The
cube root of 137894397408000 is 51663.3075860603
Scales and comparisons
How big is 137894397408000?- 137,894,397,408,000 seconds is equal to 4,384,615 years, 15 weeks, 5 days.
-
To count from 1 to 137,894,397,408,000 would take you about ten million, nine hundred sixty-one thousand, five hundred thirty-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 137894397408000 cubic inches would be around 4305.3 feet tall.
Recreational maths with 137894397408000
- 137894397408000 backwards is 000804793498731
- The number of decimal digits it has is: 15
- The sum of 137894397408000's digits is 63
- More coming soon!
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The information we have on file for 137894397408000 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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