42814488993120
42,814,488,993,120 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42814488993120 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
42814488993120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42814488993120:
25 × 33 × 5 × 13 × 23 × 53 × 89 × 7027
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 23 × 53 × 89 × 7027)See below for interesting mathematical facts about the number 42814488993120 from the Numbermatics database.
Names of 42814488993120
- Cardinal: 42814488993120 can be written as Forty-two trillion, eight hundred fourteen billion, four hundred eighty-eight million, nine hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.281448899312 × 1013
Factors of 42814488993120
Divisors of 42814488993120
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 27 30 32 36 39 40 45 46 48 52 53 54 60 65 69 72 78 80 89 90 92 96 104 106 108 115 117 120 130 135 138 144 156 159 160 178 180 184 195 207 208 212 216 230 234 240 260 265 267 270 276 288 299 312 318 345 351 356 360 368 390 414 416 424 432 445 460 468 477 480 520 530 534 540 552 585 598 621 624 636 689 690 702 712 720 736 780 795 801 828 848 864 890 897 920 936 954 1035 1040 1060 1068 1080 1104 1157 1170 1196 1219 1242 1248 1272 1335 1378 1380 1404 1424 1431 1440 1495 1560 1590 1602 1656 1696 1755 1780 1794 1840 1872 1908 2047 2067 2070 2080 2120 2136 2160 2208 2314 2340 2385 2392 2403 2438 2484 2544 2670 2691 2756 2760 2808 2848 2862 2990 3105 3120 3180 3204 3312 3445 3471 3510 3560 3588 3657 3680 3744 3816 4005 4094 4134 4140 4240 4272 4320 4485 4628 4680 4717 4770 4784 4806 4876 4968 5088 5340 5382 5512 5520 5616 5724 5785 5980 6095 6141 6201 6210 6240 6360 6408 6624 6890 6942 7020 7027 7120 7155 7176 7314 7632 8010 8073 8188 8268 8280 8480 8544 8970 9256 9360 9434 9540 9568 9612 9752 9936 10235 10335 10413 10680 10764 10971 11024 11040 11232 11448 11570 11960 12015 12190 12282 12402 12420 12720 12816 13455 13780 13884 14040 14054 14151 14240 14310 14352 14628 15264 15847 16020 16146 16376 16536 16560 17355 17940 18285 18423 18512 18603 18720 18868 19080 19224 19504 19872 20470 20670 20826 21081 21360 21528 21942 22048 22896 23140 23585 23920 24030 24380 24564 24804 24840 25440 25632 26611 26910 27560 27768 28080 28108 28302 28620 28704 29256 30705 31005 31239 31694 32040 32292 32752 32913 33072 33120 34710 35135 35880 36570 36846 37024 37206 37736 38160 38448 39008 40365 40940 41340 41652 42162 42453 42720 43056 43884 45792 46280 47170 47541 47840 48060 48760 49128 49608 49680 52065 53222 53820 54855 55120 55269 55536 56160 56216 56604 57240 58512 61321 61410 62010 62478 63243 63388 64080 64584 65504 65826 66144 69420 70270 70755 71760 73140 73692 74412 75472 76320 76896 79235 79833 80730 81880 82680 83304 84324 84906 86112 87768 91351 92115 92560 93015 94340 95082 96120 97520 98256 99216 99360 104130 105405 106444 107640 108491 109710 110240 110538 111072 112432 113208 114480 117024 122642 122820 124020 124956 126486 126776 127359 128160 129168 131652 133055 138840 140540 141510 142623 143520 146280 147384 148824 150944 156195 158470 159666 161460 161621 163760 164565 165360 166608 168648 169812 175536 182702 183963 184230 185120 186030 188680 189729 190164 192240 195040 196512 198432 208260 210810 212265 212888 215280 216982 219420 221076 224864 226416 228960 237705 239499 245284 245640 248040 249912 252972 253552 254718 258336 263304 266110 274053 276345 277680 281080 283020 285246 292560 294768 297648 306605 312390 316215 316940 319332 322920 323242 325473 327520 329130 330720 333216 337296 339624 351072 365404 367926 368460 372060 372431 377360 379458 380328 384480 399165 416520 421620 424530 425776 427869 430560 433964 438840 442152 452832 456755 475410 478998 484863 490568 491280 496080 499824 505944 507104 509436 526608 532220 542455 548106 551889 552690 555360 562160 566040 570492 585120 589536 595296 613210 624780 625403 632430 633880 636795 638664 645840 646484 650946 658260 674592 679248 713115 718497 730808 735852 736920 744120 744862 754720 758916 760656 798330 808105 822159 833040 843240 849060 851552 855738 867928 877680 884304 913510 919815 948645 950820 957996 969726 976419 981136 982560 992160 999648 1011888 1018872 1053216 1064440 1084910 1096212 1103778 1105380 1117293 1124320 1132080 1140984 1197495 1226420 1249560 1250806 1264860 1267760 1273590 1277328 1291680 1292968 1301892 1316520 1358496 1370265 1410383 1426230 1436994 1454589 1461616 1471704 1473840 1488240 1489724 1517832 1521312 1596660 1616210 1627365 1644318 1655667 1666080 1686480 1698120 1711476 1735856 1755360 1768608 1827020 1839630 1862155 1876209 1897290 1901640 1915992 1939452 1952838 1962272 2023776 2037744 2101073 2128880 2139345 2169820 2192424 2207556 2210760 2234586 2264160 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9764190 9811360 9865908 10006448 10055637 10118880 10188720 10415136 10505365 10962120 11037780 11172930 11257254 11283064 11409840 11495952 11636712 11717028 11917792 12332385 12508060 12606438 12693447 12773280 12929680 13018920 13154544 13245336 13407516 13691808 14103830 14369940 14384269 14524809 14545890 14616160 14646285 14717040 14897240 15009672 15178320 15515616 15622704 16260478 16443180 16556670 16759395 16808584 16885881 16924596 17114760 17131826 17358560 17455068 17660448 17876688 18762090 18909657 19159920 19366412 19394520 19528380 19731816 20012896 20111274 20377440 21010730 21155745 21818835 21924240 22075560 22345860 22514508 22566128 22819680 22991904 23273424 23434056 24208015 24390717 24664770 25016120 25212876 25386894 25697739 25859360 26037840 26309088 26490672 26815032 28143135 28207660 28739880 28768538 29049618 29091780 29292570 29434080 29794480 30019344 30356640 31245408 31516095 32520956 32886360 33113340 33146359 33518790 33617168 33771762 33849192 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129458421 130083824 130723281 131545440 132453360 132585436 134075160 135087048 135396768 137054608 139640544 143842690 145248090 146344302 150096720 151277256 152321364 154186434 154931296 156227040 160890192 162604780 165731795 168085840 168858810 169245960 171318260 172611228 174297708 174550680 178766880 180116064 186995497 189096570 190401705 193664120 195125736 197318160 198878154 201112740 201703008 203095152 205581912 215764035 217872135 219516453 222713738 225145080 225661280 226915884 230148304 231279651 232396944 232734240 234340560 243907170 252128760 253868940 256977390 258916842 260167648 261446562 264906720 265170872 268150320 270174096 274109216 283644855 287685380 290496180 292688604 298317231 300193440 302554512 304642728 308372868 321780384 325209560 331463590 334070607 336171680 337717620 338491920 342636520 345222456 348595416 349101360 365860755 373990994 378193140 380803410 385466085 387328240 388375263 390251472 394636320 397756308 402225480 406190304 411163824 430902667 431528070 435744270 439032906 445427476 450290160 453831768 460296608 462559302 464793888 468681120 487814340 497195385 504257520 507737880 513954780 517833684 522893124 530341744 536300640 540348192 556784345 560986491 567289710 575370760 580992360 585377208 596634462 605109024 609285456 616745736 647292105 650419120 653616405 662927180 668141214 675435240 676983840 685273040 690444912 697190832 698202720 731721510 747981988 756386280 761606820 762366257 770932170 774656480 776750526 780502944 795512616 804450960 822327648 861805334 863056140 871488540 878065812 890854952 894951693 900580320 907663536 925118604 934977485 975628680 994390770 1002211821 1008515040 1015475760 1027909560 1035667368 1045786248 1060683488 1097582265 1113568690 1121972982 1134579420 1150741520 1156398255 1161984720 1170754416 1193268924 1218570912 1233491472 1292708001 1294584210 1300838240 1307232810 1325854360 1336282428 1350870480 1370546080 1380889824 1394381664 1463443020 1491586155 1495963976 1512772560 1523213640 1524732514 1541864340 1553501052 1591025232 1608901920 1670353035 1682959473 1723610668 1726112280 1742977080 1756131624 1781709904 1789903386 1815327072 1850237208 1869954970 1941876315 1951257360 1988781540 2004423642 2030951520 2055819120 2071334736 2091572496 2154513335 2195164530 2227137380 2243945964 2269158840 2287098771 2301483040 2312796510 2323969440 2341508832 2386537848 2466982944 2585416002 2589168420 2614465620 2651708720 2672564856 2701740960 2804932455 2926886040 2983172310 2991927952 3006635463 3025545120 3046427280 3049465028 3083728680 3107002104 3182050464 3340706070 3365918946 3447221336 3452224560 3485954160 3512263248 3563419808 3579806772 3700474416 3739909940 3811831285 3878124003 3883752630 3902514720 3977563080 4008847284 4111638240 4142669472 4183144992 4309026670 4390329060 4454274760 4474758465 4487891928 4538317680 4574197542 4625593020 4773075696 5011059105 5048878419 5170832004 5178336840 5228931240 5303417440 5345129712 5609864910 5853772080 5966344620 5983855904 6013270926 6092854560 6098930056 6167457360 6214004208 6463540005 6681412140 6731837892 6861296313 6894442672 6904449120 6971908320 7024526496 7159613544 7400948832 7479819880 7623662570 7756248006 7767505260 7955126160 8017694568 8414797365 8618053340 8780658120 8908549520 8949516930 8975783856 9076635360 9148395084 9251186040 9546151392 9910761341 10022118210 10097756838 10341664008 10356673680 10457862480 10690259424 11219729820 11435493855 11634372009 11707544160 11932689240 12026541852 12197860112 12334914720 12428008416 12927080010 13362824280 13463675784 13722592626 13788885344 14319227088 14959639760 15033177315 15247325140 15512496012 15535010520 15910252320 16035389136 16829594730 17236106680 17561316240 17817099040 17899033860 17951567712 18296790168 18502372080 19390620015 19821522682 20044236420 20195513676 20583888939 20683328016 20713347360 20915724960 22439459640 22870987710 23268744018 23865378480 24053083704 24395720224 25244392095 25854160020 26725648560 26927351568 27445185252 28638454176 29732284023 29919279520 30066354630 30494650280 31024992024 31070021040 32070778272 33659189460 34306481565 34472213360 35122632480 35798067720 36593580336 37004744160 38781240030 39643045364 40088472840 40391027352 41167777878 41366656032 44878919280 45741975420 46537488036 47730756960 48106167408 49553806705 50488784190 51708320040 53451297120 53854703136 54890370504 58171860045 59464568046 60132709260 60989300560 62049984048 62140042080 67318378920 68612963130 68944426720 71596135440 73187160672 77562480060 79286090728 80176945680 80782054704 82335555756 89196852069 89757838560 91483950840 93074976072 96212334816 99107613410 100977568380 102919444695 103416640080 109780741008 116343720090 118929136092 120265418520 121978601120 124099968096 134636757840 137225926260 143192270880 148661420115 155124960120 158572181456 160353891360 161564109408 164671111512 178393704138 182967901680 186149952144 198215226820 201955136760 205838889390 206833280160 219561482016 232687440180 237858272184 240530837040 267590556207 269273515680 274451852520 297322840230 310249920240 317144362912 329342223024 356787408276 365935803360 372299904288 396430453640 403910273520 411677778780 445984260345 465374880360 475716544368 481061674080 535181112414 548903705040 594645680460 620499840480 658684446048 713574816552 792860907280 807820547040 823355557560 891968520690 930749760720 951433088736 1070362224828 1097807410080 1189291360920 1337952781035 1427149633104 1585721814560 1646711115120 1783937041380 1861499521440 2140724449656 2378582721840 2675905562070 2854299266208 3293422230240 3567874082760 4281448899312 4757165443680 5351811124140 7135748165520 8562897798624 10703622248280 14271496331040 21407244496560 42814488993120
- Sum of all divisors σ(n): 173523816345600
- Sum of proper divisors (its aliquot sum) s(n): 130709327352480
- 42814488993120 is an abundant number, because the sum of its proper divisors (130709327352480) is greater than itself. Its abundance is 87894838359360
Bases of 42814488993120
- Binary: 10011011110000100001100110100001011101011000002
- Hexadecimal: 0x26F086685D60
- Base-36: F6CPDB4O0
Squares and roots of 42814488993120
- 42814488993120 squared (428144889931202) is 1833080467741993631407334400
- 42814488993120 cubed (428144889931203) is 78482403509642847551894457004039139328000
-
The
square root of 42814488993120 is 6543278.1534273781 -
The
cube root of 42814488993120 is 34983.5266676651
Scales and comparisons
How big is 42814488993120?- 42,814,488,993,120 seconds is equal to 1,361,368 years, 16 weeks, 3 days, 1 hour, 12 minutes.
-
To count from 1 to 42,814,488,993,120 would take you about three million, four hundred three thousand, four hundred twenty 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 42814488993120 cubic inches would be around 2915.3 feet tall.
Recreational maths with 42814488993120
- 42814488993120 backwards is 02139988441824
- The number of decimal digits it has is: 14
- The sum of 42814488993120's digits is 63
- More coming soon!
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"Number 42814488993120 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 42814488993120 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/42814488993120/
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The information we have on file for 42814488993120 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 42814488993120, math, Factors of 42814488993120, curriculum, school, college, exams, university, Prime factorization of 42814488993120, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, eight hundred fourteen billion, four hundred eighty-eight million, nine hundred ninety-three thousand, one hundred twenty.