38047468531968
38,047,468,531,968 is an even composite number composed of five prime numbers multiplied together.
What does the number 38047468531968 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
38047468531968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 38047468531968:
28 × 35 × 72 × 2232 × 251
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 223 × 223 × 251)See below for interesting mathematical facts about the number 38047468531968 from the Numbermatics database.
Names of 38047468531968
- Cardinal: 38047468531968 can be written as Thirty-eight trillion, forty-seven billion, four hundred sixty-eight million, five hundred thirty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.8047468531968 × 1013
Factors of 38047468531968
Divisors of 38047468531968
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 223 224 243 251 252 256 288 294 324 336 378 384 392 432 441 446 448 486 502 504 567 576 588 648 669 672 753 756 768 784 864 882 892 896 972 1004 1008 1134 1152 1176 1296 1323 1338 1344 1506 1512 1561 1568 1701 1728 1757 1764 1784 1792 1944 2007 2008 2016 2259 2268 2304 2352 2592 2646 2676 2688 3012 3024 3122 3136 3402 3456 3514 3528 3568 3888 3969 4014 4016 4032 4518 4536 4683 4704 5184 5271 5292 5352 5376 6021 6024 6048 6244 6272 6777 6804 6912 7028 7056 7136 7776 7938 8028 8032 8064 9036 9072 9366 9408 10368 10542 10584 10704 10927 11907 12042 12048 12096 12299 12488 12544 13554 13608 14049 14056 14112 14272 15552 15813 15876 16056 16064 16128 18063 18072 18144 18732 18816 20331 20736 21084 21168 21408 21854 23814 24084 24096 24192 24598 24976 27108 27216 28098 28112 28224 28544 31104 31626 31752 32112 32128 32781 36126 36144 36288 36897 37464 37632 40662 42147 42168 42336 42816 43708 47439 47628 48168 48192 48384 49196 49729 49952 54189 54216 54432 55973 56196 56224 56448 57088 60993 62208 63252 63504 64224 64256 65562 72252 72288 72576 73794 74928 81324 84294 84336 84672 85632 87416 94878 95256 96336 96384 98343 98392 99458 99904 108378 108432 108864 110691 111946 112392 112448 112896 121986 126441 126504 127008 128448 131124 142317 144504 144576 145152 147588 149187 149856 162648 167919 168588 168672 169344 171264 174832 189756 190512 192672 192768 196686 196784 198916 199808 216756 216864 217728 221382 223892 224784 224896 243972 252882 253008 254016 256896 262248 284634 289008 289152 295029 295176 298374 299712 325296 332073 335838 337176 337344 338688 348103 349664 379323 379512 381024 385344 391811 393372 393568 397832 399616 426951 433512 433728 435456 442764 447561 447784 449568 449792 487944 503757 505764 506016 508032 513792 524496 569268 578016 578304 590058 590352 596748 599424 650592 664146 671676 674352 674688 696206 699328 758646 759024 762048 770688 783622 786744 787136 795664 853902 867024 867456 885087 885528 895122 895568 899136 975888 996219 1007514 1011528 1012032 1016064 1044309 1048992 1138536 1156032 1175433 1180116 1180704 1193496 1198848 1301184 1328292 1342683 1343352 1348704 1349376 1392412 1398656 1511271 1517292 1518048 1524096 1541376 1567244 1573488 1574272 1591328 1707804 1734048 1734912 1770174 1771056 1790244 1791136 1798272 1951776 1992438 2015028 2023056 2024064 2088618 2097984 2277072 2312064 2350866 2360232 2361408 2386992 2436721 2602368 2655261 2656584 2685366 2686704 2697408 2742677 2784824 2797312 2988657 3022542 3034584 3036096 3048192 3132927 3134488 3146976 3148544 3182656 3415608 3468096 3526299 3540348 3542112 3580488 3582272 3596544 3903552 3984876 4028049 4030056 4046112 4048128 4177236 4195968 4533813 4554144 4624128 4701732 4720464 4722816 4773984 4873442 5204736 5310522 5313168 5370732 5373408 5394816 5485354 5569648 5977314 6045084 6069168 6072192 6265854 6268976 6293952 6365312 6831216 6936192 7052598 7080696 7084224 7160976 7164544 7310163 7807104 7969752 8056098 8060112 8092224 8228031 8354472 8391936 9067626 9108288 9398781 9403464 9440928 9445632 9547968 9746884 10578897 10621044 10626336 10741464 10746816 10789632 10970708 11139296 11954628 12084147 12090168 12138336 12144384 12481979 12531708 12537952 12587904 12730624 13601439 13662432 13872384 14105196 14161392 14168448 14321952 14329088 14620326 15614208 15939504 16112196 16120224 16184448 16456062 16708944 18135252 18216576 18797562 18806928 18881856 19095936 19493768 21157794 21242088 21252672 21482928 21493632 21930489 21941416 22278592 23909256 24168294 24180336 24276672 24684093 24963958 25063416 25075904 25175808 27202878 27324864 28196343 28210392 28322784 28336896 28643904 29240652 31736691 31879008 32224392 32240448 32368896 32912124 33417888 36270504 36433152 37445937 37595124 37613856 37763712 38191872 38987536 42315588 42484176 42505344 42965856 42987264 43860978 43882832 44557184 47818512 48336588 48360672 48553344 49368186 49927916 50126832 50151808 54405756 54649728 56392686 56420784 56645568 57287808 58481304 63473382 63758016 64448784 64480896 65791467 65824248 66835776 72541008 74052279 74891874 75190248 75227712 75527424 77975072 84589029 84631176 84968352 85010688 85931712 87373853 87721956 87765664 89114368 95210073 95637024 96673176 96721344 97106688 98736372 99855832 100253664 100303616 108811512 109299456 112337811 112785372 112841568 113291136 114575616 116962608 126946764 127516032 128897568 128961792 131582934 131648496 133671552 145082016 148104558 149783748 150380496 150455424 155950144 169178058 169262352 169936704 171863424 174747706 175443912 175531328 190420146 191274048 193346352 193442688 197374401 197472744 199711664 200507328 217623024 222156837 224675622 225570744 225683136 226582272 233925216 253893528 255032064 257795136 262121559 263165868 263296992 267343104 290164032 296209116 299567496 300760992 300910848 311900288 337013433 338356116 338524704 339873408 343726848 349495412 350887824 351062656 380840292 382548096 386692704 386885376 394748802 394945488 399423328 401014656 435246048 444313674 449351244 451141488 451366272 467850432 507787056 515590272 524243118 526331736 526593984 580328064 592123203 592418232 599134992 601521984 611616971 623800576 666470511 674026866 676712232 677049408 679746816 698990824 701775648 702125312 761680584 765096192 773385408 786364677 789497604 789890976 798846656 802029312 870492096 888627348 898702488 902282976 902732544 935700864 1011040299 1015574112 1031180544 1048486236 1052663472 1053187968 1160656128 1184246406 1184836464 1198269984 1203043968 1223233942 1332941022 1348053732 1353424464 1354098816 1397981648 1403551296 1523361168 1546770816 1572729354 1578995208 1579781952 1597693312 1740984192 1777254696 1797404976 1804565952 1834850913 1871401728 2022080598 2031148224 2096972472 2105326944 2106375936 2359094031 2368492812 2369672928 2396539968 2406087936 2446467884 2665882044 2696107464 2706848928 2708197632 2795963296 2807102592 3033120897 3046722336 3093541632 3145458708 3157990416 3159563904 3195386624 3481968384 3554509392 3594809952 3609131904 3669701826 4044161196 4062296448 4193944944 4210653888 4718188062 4736985624 4739345856 4793079936 4892935768 5331764088 5392214928 5413697856 5504552739 5591926592 5614205184 6066241794 6093444672 6290917416 6315980832 6319127808 7077282093 7109018784 7189619904 7218263808 7339403652 8088322392 8124592896 8387889888 8421307776 9436376124 9473971248 9478691712 9586159872 9785871536 10663528176 10784429856 10827395712 11009105478 11183853184 12132483588 12186889344 12581834832 12631961664 14154564186 14218037568 14379239808 14678807304 16176644784 16513658217 16775779776 16842615552 18872752248 18947942496 18957383424 19571743072 21231846279 21327056352 21568859712 21654791424 22018210956 22367706368 24264967176 24373778688 25163669664 25263923328 28309128372 28436075136 28758479616 29357614608 32353289568 33027316434 33551559552 37745504496 37895884992 39143486144 42463692558 42654112704 43137719424 44036421912 48529934352 49540974651 50327339328 50527846656 56618256744 56872150272 58715229216 64706579136 66054632868 67103119104 75491008992 75791769984 78286972288 84927385116 85308225408 86275438848 88072843824 97059868704 99081949302 100654678656 113236513488 117430458432 129413158272 132109265736 148622923953 150982017984 151583539968 156573944576 169854770232 170616450816 176145687648 194119737408 198163898604 201309357312 226473026976 234860916864 258826316544 264218531472 297245847906 301964035968 339709540464 352291375296 388239474816 396327797208 452946053952 469721833728 528437062944 594491695812 603928071936 679419080928 704582750592 776478949632 792655594416 905892107904 1056874125888 1188983391624 1358838161856 1409165501184 1585311188832 1811784215808 2113748251776 2377966783248 2717676323712 3170622377664 4227496503552 4755933566496 5435352647424 6341244755328 9511867132992 12682489510656 19023734265984 38047468531968
- Sum of all divisors σ(n): 133462500011568
- Sum of proper divisors (its aliquot sum) s(n): 95415031479600
- 38047468531968 is an abundant number, because the sum of its proper divisors (95415031479600) is greater than itself. Its abundance is 57367562947632
Bases of 38047468531968
- Binary: 10001010011010100111011101100010110001000000002
- Hexadecimal: 0x229A9DD8B100
- Base-36: DHIRKEO00
Squares and roots of 38047468531968
- 38047468531968 squared (380474685319682) is 1447609861691095197037953024
- 38047468531968 cubed (380474685319683) is 55077890659258493298343742244029026271232
-
The
square root of 38047468531968 is 6168263.0076844161 -
The
cube root of 38047468531968 is 33633.7471936203
Scales and comparisons
How big is 38047468531968?- 38,047,468,531,968 seconds is equal to 1,209,791 years, 42 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 38,047,468,531,968 would take you about three million, twenty-four thousand, four hundred seventy-nine 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 38047468531968 cubic inches would be around 2802.8 feet tall.
Recreational maths with 38047468531968
- 38047468531968 backwards is 86913586474083
- 38047468531968 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 38047468531968's digits is 72
- More coming soon!
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The information we have on file for 38047468531968 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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