42948593073808128
42,948,593,073,808,128 is an even composite number composed of four prime numbers multiplied together.
What does the number 42948593073808128 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1152 divisors.
42948593073808128 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42948593073808128:
28 × 37 × 73 × 6073
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 607 × 607 × 607)See below for interesting mathematical facts about the number 42948593073808128 from the Numbermatics database.
Names of 42948593073808128
- Cardinal: 42948593073808128 can be written as Forty-two quadrillion, nine hundred forty-eight trillion, five hundred ninety-three billion, seventy-three million, eight hundred eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.2948593073808128 × 1016
Factors of 42948593073808128
Divisors of 42948593073808128
- Number of divisors d(n): 1152
-
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 98 108 112 126 128 144 147 162 168 189 192 196 216 224 243 252 256 288 294 324 336 343 378 384 392 432 441 448 486 504 567 576 588 607 648 672 686 729 756 768 784 864 882 896 972 1008 1029 1134 1152 1176 1214 1296 1323 1344 1372 1458 1512 1568 1701 1728 1764 1792 1821 1944 2016 2058 2187 2268 2304 2352 2428 2592 2646 2688 2744 2916 3024 3087 3136 3402 3456 3528 3642 3888 3969 4032 4116 4249 4374 4536 4704 4856 5103 5184 5292 5376 5463 5488 5832 6048 6174 6272 6804 6912 7056 7284 7776 7938 8064 8232 8498 8748 9072 9261 9408 9712 10206 10368 10584 10926 10976 11664 11907 12096 12348 12544 12747 13608 14112 14568 15309 15552 15876 16128 16389 16464 16996 17496 18144 18522 18816 19424 20412 20736 21168 21852 21952 23328 23814 24192 24696 25494 27216 27783 28224 29136 29743 30618 31104 31752 32778 32928 33992 34992 35721 36288 37044 37632 38241 38848 40824 42336 43704 43904 46656 47628 48384 49167 49392 50988 54432 55566 56448 58272 59486 61236 62208 63504 65556 65856 67984 69984 71442 72576 74088 76482 77696 81648 83349 84672 87408 87808 89229 93312 95256 98334 98784 101976 107163 108864 111132 112896 114723 116544 118972 122472 127008 131112 131712 135968 139968 142884 145152 147501 148176 152964 155392 163296 166698 169344 174816 178458 186624 190512 196668 197568 203952 208201 214326 217728 222264 229446 233088 237944 244944 250047 254016 262224 263424 267687 271936 279936 285768 295002 296352 305928 326592 333396 338688 344169 349632 356916 368449 381024 393336 395136 407904 416402 428652 435456 442503 444528 458892 466176 475888 489888 500094 508032 524448 535374 543872 559872 571536 590004 592704 611856 624603 653184 666792 688338 699264 713832 736898 750141 762048 786672 790272 803061 815808 832804 857304 885006 889056 917784 951776 979776 1000188 1016064 1032507 1048896 1070748 1087744 1105347 1143072 1180008 1185408 1223712 1249206 1306368 1327509 1333584 1376676 1398528 1427664 1473796 1500282 1524096 1573344 1606122 1631616 1665608 1714608 1770012 1778112 1835568 1873809 1903552 1959552 2000376 2065014 2097792 2141496 2210694 2286144 2360016 2370816 2409183 2447424 2498412 2579143 2655018 2667168 2753352 2855328 2947592 3000564 3048192 3097521 3146688 3212244 3263232 3316041 3331216 3429216 3540024 3556224 3671136 3747618 3807104 3919104 4000752 4130028 4195584 4282992 4421388 4572288 4720032 4818366 4894848 4996824 5158286 5310036 5334336 5506704 5621427 5710656 5895184 6001128 6195042 6293376 6424488 6632082 6662432 6858432 7080048 7112448 7227549 7342272 7495236 7614208 7737429 8001504 8260056 8565984 8842776 9144576 9292563 9440064 9636732 9789696 9948123 9993648 10316572 10620072 10668672 11013408 11242854 11421312 11790368 12002256 12390084 12586752 12848976 13264164 13324864 13716864 14160096 14455098 14684544 14990472 15474858 16003008 16520112 16864281 17131968 17685552 18054001 18585126 18880128 19273464 19896246 19987296 20633144 21240144 21337344 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93591941184 96616170576 97058309376 98629007463 100194547264 103142139264 105290933832 108693191898 109190598048 112718865672 116565910272 120332495808 122839422804 124789254912 126808723881 128821560768 131505343284 140387911776 144924255864 145587464064 150291820896 153422900498 157936400748 160443327744 163039787847 163785897072 169078298508 171762081024 175340457712 180498743712 184259134206 187183882368 193232341152 197258014926 200389094528 206284278528 210581867664 217386383796 218381196096 225437731344 230134350747 240664991616 245678845608 253617447762 257643121536 263010686568 276388701309 280775823552 289848511728 291174928128 295887022389 300583641792 306845800996 315872801496 326079575694 327571794144 338156597016 350680915424 360997487424 368518268412 374367764736 380426171643 386464682304 394516029852 400778189056 421163735328 434772767592 436762392192 450875462688 460268701494 481329983232 489119363541 491357691216 507234895524 515286243072 526021373136 552777402618 561551647104 579697023456 591774044778 601167283584 613691601992 631745602992 652159151388 655143588288 676313194032 690403052241 701361830848 721994974848 737036536824 760852343286 772929364608 789032059704 842327470656 869545535184 873524784384 887661067167 901750925376 920537402988 978238727082 982715382432 1014469791048 1052042746272 1105554805236 1123103294208 1141278514929 1159394046912 1183548089556 1202334567168 1227383203984 1263491205984 1304318302776 1310287176576 1352626388064 1380806104482 1402723661696 1443989949696 1474073073648 1521704686572 1545858729216 1578064119408 1684654941312 1739091070368 1775322134334 1803501850752 1841074805976 1956477454164 1965430764864 2028939582096 2071209156723 2104085492544 2211109610472 2282557029858 2318788093824 2367096179112 2454766407968 2526982411968 2608636605552 2620574353152 2662983201501 2705252776128 2761612208964 2805447323392 2948146147296 3043409373144 3156128238816 3369309882624 3423835544787 3478182140736 3550644268668 3607003701504 3682149611952 3912954908328 3930861529728 4057879164192 4142418313446 4208170985088 4422219220944 4565114059716 4637576187648 4734192358224 4909532815936 5053964823936 5217273211104 5325966403002 5410505552256 5523224417928 5896292294592 6086818746288 6213627470169 6312256477632 6847671089574 6956364281472 7101288537336 7364299223904 7825909816656 7861723059456 7988949604503 8115758328384 8284836626892 8416341970176 8844438441888 9130228119432 9468384716448 9819065631872 10107929647872 10434546422208 10651932806004 10821011104512 11046448835856 11792584589184 12173637492576 12427254940338 12624512955264 13695342179148 13912728562944 14202577074672 14728598447808 15651819633312 15977899209006 16231516656768 16569673253784 17688876883776 18260456238864 18640882410507 18936769432896 19638131263744 20869092844416 21303865612008 22092897671712 23585169178368 23966848813509 24347274985152 24854509880676 25249025910528 27390684358296 28405154149344 29457196895616 31303639266624 31955798418012 32463033313536 33139346507568 35377753767552 36520912477728 37281764821014 37873538865792 41738185688832 42607731224016 44185795343424 47933697627018 48694549970304 49709019761352 54781368716592 55922647231521 56810308298688 58914393791232 62607278533248 63911596836024 66278693015136 70755507535104 73041824955456 74563529642028 75747077731584 85215462448032 88371590686848 95867395254036 97389099940608 99418039522704 109562737433184 111845294463042 113620616597376 125214557066496 127823193672048 132557386030272 146083649910912 149127059284056 167767941694563 170430924896064 176743181373696 191734790508072 198836079045408 219125474866368 223690588926084 227241233194752 255646387344096 265114772060544 292167299821824 298254118568112 335535883389126 340861849792128 383469581016144 397672158090816 438250949732736 447381177852168 511292774688192 530229544121088 596508237136224 671071766778252 681723699584256 766939162032288 795344316181632 876501899465472 894762355704336 1022585549376384 1193016474272448 1342143533556504 1533878324064576 1590688632363264 1789524711408672 2045171098752768 2386032948544896 2684287067113008 3067756648129152 3579049422817344 4772065897089792 5368574134226016 6135513296258304 7158098845634688 10737148268452032 14316197691269376 21474296536904064 42948593073808128
- Sum of all divisors σ(n): 150188567603200000
- Sum of proper divisors (its aliquot sum) s(n): 107239974529391872
- 42948593073808128 is an abundant number, because the sum of its proper divisors (107239974529391872) is greater than itself. Its abundance is 64291381455583744
Bases of 42948593073808128
- Binary: 100110001001010110000100100100011100010001100011000000002
- Hexadecimal: 0x98958491C46300
- Base-36: BQW07A0C000
Squares and roots of 42948593073808128
- 42948593073808128 squared (429485930738081282) is 1844581647019559504575447758864384
- 42948593073808128 cubed (429485930738081283) is 79222186549257842510963010005549804455287588913152
-
The
square root of 42948593073808128 is 207240423.3584947297 -
The
cube root of 42948593073808128 is 350200.1387958557
Scales and comparisons
How big is 42948593073808128?- 42,948,593,073,808,128 seconds is equal to 1,365,632,411 years, 1 week, 2 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 42,948,593,073,808,128 would take you about four billion, ninety-six million, eight hundred ninety-seven thousand, two hundred thirty-three 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 42948593073808128 cubic inches would be around 29183.3 feet tall.
Recreational maths with 42948593073808128
- 42948593073808128 backwards is 82180837039584924
- 42948593073808128 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42948593073808128's digits is 81
- More coming soon!
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Cite this page
MLA style:
"Number 42948593073808128 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
APA style:
Numbermatics. (2024). Number 42948593073808128 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/42948593073808128/
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The information we have on file for 42948593073808128 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!
Keywords: Divisors of 42948593073808128, math, Factors of 42948593073808128, curriculum, school, college, exams, university, Prime factorization of 42948593073808128, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, nine hundred forty-eight trillion, five hundred ninety-three billion, seventy-three million, eight hundred eight thousand, one hundred twenty-eight.