42388193561220
42,388,193,561,220 is an even composite number composed of six prime numbers multiplied together.
What does the number 42388193561220 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1584 divisors.
42388193561220 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 42388193561220:
22 × 310 × 5 × 133 × 17 × 312
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 17 × 31 × 31)See below for interesting mathematical facts about the number 42388193561220 from the Numbermatics database.
Names of 42388193561220
- Cardinal: 42388193561220 can be written as Forty-two trillion, three hundred eighty-eight billion, one hundred ninety-three million, five hundred sixty-one thousand, two hundred twenty.
Scientific notation
- Scientific notation: 4.238819356122 × 1013
Factors of 42388193561220
Divisors of 42388193561220
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 27 30 31 34 36 39 45 51 52 54 60 62 65 68 78 81 85 90 93 102 108 117 124 130 135 153 155 156 162 169 170 180 186 195 204 221 234 243 255 260 270 279 306 310 324 338 340 351 372 390 403 405 442 459 465 468 486 507 510 527 540 558 585 612 620 663 676 702 729 765 780 806 810 837 845 884 918 930 961 972 1014 1020 1053 1054 1105 1116 1170 1209 1215 1326 1377 1395 1404 1458 1521 1530 1581 1612 1620 1674 1690 1755 1836 1860 1922 1989 2015 2028 2106 2108 2187 2197 2210 2295 2340 2418 2430 2511 2535 2635 2652 2754 2790 2873 2883 2916 3042 3060 3159 3162 3315 3348 3380 3510 3627 3645 3844 3978 4030 4131 4185 4212 4374 4394 4420 4563 4590 4743 4805 4836 4860 5022 5070 5239 5265 5270 5508 5580 5746 5766 5967 6045 6084 6318 6324 6561 6591 6630 6851 6885 7020 7254 7290 7533 7605 7905 7956 8060 8262 8370 8619 8649 8748 8788 9126 9180 9477 9486 9610 9945 10044 10140 10478 10530 10540 10881 10935 10985 11492 11532 11934 12090 12393 12493 12555 12636 13122 13182 13260 13689 13702 13770 14229 14365 14415 14508 14580 15066 15210 15717 15795 15810 16337 16524 16740 17238 17298 17901 18135 18252 18954 18972 19220 19683 19773 19890 20553 20655 20956 21060 21762 21870 21970 22599 22815 23715 23868 24180 24786 24986 25110 25857 25947 26195 26244 26364 27378 27404 27540 28431 28458 28730 28830 29835 30132 30420 31434 31590 31620 32643 32674 32805 32955 34255 34476 34596 35802 36270 37179 37349 37479 37665 37908 39366 39546 39780 41067 41106 41310 42687 43095 43245 43524 43740 43940 45198 45630 47151 47385 47430 49011 49572 49972 50220 51714 51894 52390 53703 54405 54756 56862 56916 57460 57660 59049 59319 59670 61659 61965 62465 62868 63180 65286 65348 65610 65910 67797 68107 68445 68510 71145 71604 72540 74358 74698 74958 75330 77571 77841 78585 78732 79092 81685 82134 82212 82620 85293 85374 86190 86490 89063 89505 90396 91260 94302 94770 94860 97929 98022 98415 98865 102765 103428 103788 104780 107406 108810 111537 112047 112437 112995 113724 118098 118638 119340 123201 123318 123930 124930 128061 129285 129735 130572 131220 131820 135594 136214 136890 137020 141453 142155 142290 147033 148716 149396 149916 150660 155142 155682 157170 161109 162409 163215 163370 164268 170586 170748 172380 172980 177957 178126 179010 184977 185895 186745 187395 188604 189540 195858 196044 196830 197730 203391 204321 205335 205530 212381 213435 214812 217620 223074 224094 224874 225990 232713 233523 235755 236196 237276 245055 246402 246636 247860 249860 255879 256122 258570 259470 267189 268515 271188 272428 273780 282906 284310 284580 293787 294066 295245 296595 308295 310284 311364 314340 322218 324818 326430 326740 334611 336141 337311 338985 340535 341172 355914 356252 358020 369603 369954 371790 373490 374790 384183 387855 389205 391716 393660 395460 406782 408642 410670 411060 424359 424762 426465 426870 441099 445315 446148 448188 449748 451980 465426 467046 471510 483327 487227 489645 490110 492804 511758 512244 517140 518940 533871 534378 537030 554931 557685 560235 562185 565812 568620 587574 588132 590490 593190 610173 612963 616005 616590 637143 640305 644436 649636 652860 669222 672282 674622 677970 681070 698139 700569 707265 711828 735165 739206 739908 743580 746980 749580 767637 768366 775710 778410 801567 805545 812045 813564 817284 821340 848718 849524 852930 853740 881361 882198 889785 890630 924885 930852 934092 943020 966654 974454 979290 980220 1003833 1008423 1011933 1016955 1021605 1023516 1061905 1067742 1068756 1074060 1108809 1109862 1115370 1120470 1124370 1152549 1157819 1163565 1167615 1175148 1180980 1186380 1220346 1225926 1232010 1233180 1273077 1274286 1279395 1280610 1323297 1335945 1338444 1344564 1349244 1355940 1362140 1396278 1401138 1414530 1449981 1461681 1468935 1470330 1478412 1535274 1536732 1551420 1556820 1601613 1603134 1611090 1624090 1664793 1673055 1680705 1686555 1697436 1705860 1762722 1764396 1779570 1781260 1830519 1838889 1848015 1849770 1911429 1920915 1933308 1948908 1958580 2007666 2016846 2023866 2033910 2043210 2094417 2101707 2111317 2121795 2123810 2135484 2205495 2217618 2219724 2230740 2240940 2248740 2305098 2315638 2327130 2335230 2404701 2416635 2436135 2440692 2451852 2464020 2546154 2548572 2558790 2561220 2644083 2646594 2669355 2671890 2760953 2774655 2792556 2802276 2829060 2899962 2923362 2937870 2940660 3025269 3035799 3050865 3064815 3070548 3185715 3203226 3206268 3222180 3248180 3326427 3329586 3346110 3361410 3373110 3457647 3473457 3490695 3502845 3525444 3559140 3661038 3677778 3696030 3699540 3819231 3822858 3838185 3841830 3969891 4007835 4015332 4033692 4047732 4067820 4086420 4188834 4203414 4222634 4243590 4247620 4349943 4385043 4406805 4410990 4435236 4610196 4631276 4654260 4670460 4804839 4809402 4833270 4872270 4994379 5019165 5042115 5059665 5092308 5117580 5288166 5293188 5338710 5343780 5516667 5521906 5544045 5549310 5734287 5762745 5789095 5799924 5846724 5875740 6050538 6071598 6101730 6129630 6283251 6305121 6333951 6365385 6371430 6406452 6616485 6652854 6659172 6692220 6722820 6746220 6915294 6946914 6981390 7005690 7214103 7249905 7308405 7322076 7355556 7392060 7638462 7645716 7676370 7683660 7932249 7939782 8008065 8015670 8282859 8323965 8377668 8406828 8445268 8487180 8699886 8770086 8813610 8821980 9075807 9107397 9152595 9194445 9557145 9609678 9618804 9666540 9744540 9979281 9988758 10038330 10084230 10119330 10372941 10420371 10472085 10508535 10556585 10576332 10677420 11033334 11043812 11088090 11098620 11457693 11468574 11525490 11578190 11909673 12023505 12101076 12143196 12203460 12259260 12566502 12610242 12667902 12730770 12742860 13049829 13155129 13220415 13232970 13305708 13804765 13830588 13893828 13962780 14011380 14414517 14428206 14499810 14616810 14983137 15126345 15178995 15276924 15352740 15864498 15879564 16016130 16031340 16550001 16565718 16632135 16647930 17202861 17288235 17367285 17399772 17540172 17627220 18151614 18214794 18305190 18388890 18849753 18915363 19001853 19096155 19114290 19219356 19849455 19958562 19977516 20076660 20168460 20238660 20745882 20840742 20944170 21017070 21113170 21642309 21749715 21925215 22066668 22176180 22915386 22937148 23050980 23156380 23796747 23819346 24024195 24047010 24848577 24971895 25133004 25220484 25335804 25461540 26099658 26310258 26440830 26465940 27227421 27322191 27583335 27609530 28671435 28829034 28856412 28999620 29233620 29966274 30252690 30357990 31118823 31261113 31416255 31525605 31669755 31728996 32032260 33100002 33131436 33264270 33295860 34373079 34405722 34576470 34734570 35729019 35892389 36070515 36303228 36429588 36610380 36777780 37699506 37830726 38003706 38192310 38228580 39465387 39661245 39698910 39917124 41414295 41491764 41681484 41888340 42034140 42226340 43243551 43284618 43499430 43850430 44949411 45379035 45536985 45830772 47593494 47638692 48048390 48094020 49650003 49697154 49896405 49943790 51608583 51864705 52101855 52199316 52620516 52881660 54454842 54644382 55166670 55219060 56549259 56746089 57005559 57288465 57342870 57658068 59548365 59932548 60505380 60715980 62237646 62522226 62832510 63051210 63339510 64926927 65249145 65775645 66200004 66528540 68746158 68811444 69152940 69469140 71458038 71784778 72072585 72141030 74545731 74915685 75399012 75661452 76007412 76384620 78930774 79322490 79397820 81682263 81966573 82750005 82828590 86014305 86487102 86569236 86998860 87700860 89898822 90758070 91073970 93783339 94248765 94576815 95009265 95186988 96096780 99300006 99394308 99792810 99887580 103119237 103217166 103729410 104203710 107187057 107677167 108211545 108909684 109288764 110333340 113098518 113492178 114011118 114576930 114685740 118396161 118983735 119096730 124242885 124475292 125044452 125665020 126102420 126679020 129730653 129853854 130498290 131551290 134848233 136137105 136610955 137492316 142916076 143569556 144145170 144282060 148950009 149091462 149831370 154825749 155594115 156305565 157861548 158644980 163364526 163933146 165500010 165657180 169647777 171016677 171865395 172028610 172974204 178645095 179461945 179797644 181516140 182147940 187566678 188497530 189153630 190018530 194780781 197326935 198600012 199585620 206238474 206434332 207458820 208407420 214374114 215354334 216217755 216423090 223637193 224747055 226197036 226984356 228022236 229153860 236792322 237967470 238193460 245046789 245899719 248250015 248485770 258042915 259461306 259707708 260996580 263102580 269696466 272274210 273221910 281350017 282746295 283730445 285027795 288290340 297900018 298182924 299662740 309357711 309651498 311188230 312611130 321561171 323031501 324634635 326729052 327866292 331000020 339295554 342033354 343730790 344057220 355188483 357290190 358923890 372728655 375133356 376995060 378307260 380037060 389561562 394653870 404544699 408411315 409832865 412476948 428748228 430708668 432435510 432846180 446850027 447274386 449494110 464477247 468916695 473584644 475934940 490093578 491799438 496500030 496971540 513050031 515596185 516085830 518922612 535935285 538385835 539392932 544548420 546443820 562700034 565492590 567460890 570055590 584342343 591980805 595800036 618715422 619302996 622376460 625222260 643122342 646063002 648653265 649269270 670911579 674241165 678591108 684066708 687461580 710376966 714580380 717847780 735140367 737699157 744750045 745457310 774128745 779123124 789307740 809089398 816822630 819665730 844050051 848238885 855083385 864871020 893700054 894548772 898988220 928954494 937833390 964683513 969094503 973903905 980187156 983598876 993000060 1026100062 1031192370 1032171660 1065565449 1071870570 1076771670 1118185965 1125400068 1130985180 1134921780 1140111180 1168684686 1183961610 1225233945 1229498595 1237430844 1286244684 1292126004 1297306530 1298538540 1340550081 1341823158 1348482330 1393431741 1406750085 1420753932 1470280734 1475398314 1489500090 1490914620 1539150093 1546788555 1548257490 1607805855 1615157505 1618178796 1633645260 1639331460 1688100102 1696477770 1710166770 1753027029 1775942415 1787400108 1857908988 1875666780 1929367026 1938189006 1947807810 2012734737 2022723495 2052200124 2062384740 2131130898 2143741140 2153543340 2205421101 2234250135 2236371930 2322386235 2337369372 2367923220 2450467890 2458997190 2532150153 2565250155 2594613060 2681100162 2683646316 2696964660 2786863482 2813500170 2907283509 2921711715 2940561468 2950796628 2979000180 3078300186 3093577110 3096514980 3196696347 3215611710 3230315010 3354557895 3376200204 3392955540 3420333540 3506054058 3551884830 3675701835 3688495785 3858734052 3876378012 3895615620 4021650243 4025469474 4045446990 4180295223 4220250255 4262261796 4410842202 4468500270 4472743860 4617450279 4644772470 4823417565 4845472515 4900935780 4917994380 5064300306 5130500310 5259081087 5327827245 5362200324 5573726964 5627000340 5814567018 5843423430 6038204211 6156600372 6187154220 6393392694 6431223420 6460630020 6702750405 6709115790 6967158705 7012108116 7103769660 7351403670 7376991570 7596450459 7695750465 8043300486 8050938948 8090893980 8360590446 8440500510 8721850527 8765135145 8821684404 8937000540 9234900558 9289544940 9590089041 9646835130 9690945030 10063673685 10128600612 10261000620 10518162174 10655654490 11027105505 11629134036 11686846860 12076408422 12540885669 12660750765 12786785388 13405500810 13418231580 13852350837 13934317410 14536417545 14702807340 14753983140 15192900918 15391500930 15983481735 16086600972 16721180892 16881001020 17443701054 17530270290 18114612633 18469801116 19180178082 19293670260 19381890060 20108251215 20127347370 20901476115 21036324348 21311308980 22054211010 22789351377 23087251395 24152816844 25081771338 25321501530 26165551581 26295405435 26811001620 27704701674 27868634820 29072835090 30191021055 30385801836 30783001860 31966963470 34887402108 35060540580 36229225266 37982252295 38360356164 40216502430 40254694740 41557052511 41802952230 43609252635 44108422020 45578702754 46174502790 47950445205 50163542676 50643003060 52331103162 52590810870 54343837899 55409403348 58145670180 60382042110 62704428345 63933926940 68368054131 69261754185 72458450532 75964504590 78496654743 80433004860 83114105022 83605904460 87218505270 90573063165 91157405508 92349005580 95900890410 104662206324 105181621740 108687675798 113946756885 120764084220 124671157533 125408856690 130827757905 136736108262 138523508370 151929009180 156993309486 163031513697 166228210044 174437010540 181146126330 191801780820 207785262555 217375351596 227893513770 235489964229 249342315066 250817713380 261655515810 271719189495 273472216524 277047016740 313986618972 326063027394 341840270655 362292252660 392483273715 415570525110 455787027540 470979928458 498684630132 523311031620 543438378990 623355787665 652126054788 683680541310 706469892687 784966547430 815157568485 831141050220 941959856916 1086876757980 1177449821145 1246711575330 1367361082620 1412939785374 1569933094860 1630315136970 2119409678061 2354899642290 2493423150660 2825879570748 3260630273940 3532349463435 4238819356122 4709799284580 7064698926870 8477638712244 10597048390305 14129397853740 21194096780610 42388193561220
- Sum of all divisors σ(n): 158252054047920
- Sum of proper divisors (its aliquot sum) s(n): 115863860486700
- 42388193561220 is an abundant number, because the sum of its proper divisors (115863860486700) is greater than itself. Its abundance is 73475666925480
Bases of 42388193561220
- Binary: 10011010001101010001010011100001001010100001002
- Hexadecimal: 0x268D45384A84
- Base-36: F0WV80K90
Squares and roots of 42388193561220
- 42388193561220 squared (423881935612202) is 1796758953383452665887888400
- 42388193561220 cubed (423881935612203) is 76161366298872854425881635011261927848000
-
The
square root of 42388193561220 is 6510621.5956097463 -
The
cube root of 42388193561220 is 34867.0311392715
Scales and comparisons
How big is 42388193561220?- 42,388,193,561,220 seconds is equal to 1,347,813 years, 22 weeks, 6 days, 3 hours, 27 minutes.
-
To count from 1 to 42,388,193,561,220 would take you about three million, three hundred sixty-nine thousand, five 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 42388193561220 cubic inches would be around 2905.6 feet tall.
Recreational maths with 42388193561220
- 42388193561220 backwards is 02216539188324
- 42388193561220 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42388193561220's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42388193561220 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 42388193561220 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/42388193561220/
Chicago style:
Numbermatics. 2024. "Number 42388193561220 - Facts about the integer". https://numbermatics.com/n/42388193561220/
The information we have on file for 42388193561220 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 42388193561220, math, Factors of 42388193561220, curriculum, school, college, exams, university, Prime factorization of 42388193561220, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, three hundred eighty-eight billion, one hundred ninety-three million, five hundred sixty-one thousand, two hundred twenty.