42068317710720
42,068,317,710,720 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42068317710720 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1024 divisors.
42068317710720 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 42068317710720:
27 × 3 × 5 × 7 × 17 × 59 × 113 × 27617
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 59 × 113 × 27617)See below for interesting mathematical facts about the number 42068317710720 from the Numbermatics database.
Names of 42068317710720
- Cardinal: 42068317710720 can be written as Forty-two trillion, sixty-eight billion, three hundred seventeen million, seven hundred ten thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.206831771072 × 1013
Factors of 42068317710720
Divisors of 42068317710720
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 59 60 64 68 70 80 84 85 96 102 105 112 113 118 119 120 128 136 140 160 168 170 177 192 204 210 224 226 236 238 240 255 272 280 295 320 336 339 340 354 357 384 408 413 420 448 452 472 476 480 510 544 560 565 590 595 640 672 678 680 708 714 791 816 826 840 885 896 904 944 952 960 1003 1020 1088 1120 1130 1180 1190 1239 1344 1356 1360 1416 1428 1582 1632 1652 1680 1695 1770 1785 1808 1888 1904 1920 1921 2006 2040 2065 2176 2240 2260 2360 2373 2380 2478 2688 2712 2720 2832 2856 3009 3164 3264 3304 3360 3390 3540 3570 3616 3776 3808 3842 3955 4012 4080 4130 4480 4520 4720 4746 4760 4956 5015 5424 5440 5664 5712 5763 6018 6195 6328 6528 6608 6667 6720 6780 7021 7080 7140 7232 7552 7616 7684 7910 8024 8160 8260 9040 9440 9492 9520 9605 9912 10030 10848 10880 11328 11424 11526 11865 12036 12390 12656 13216 13334 13440 13447 13560 14042 14160 14280 14464 15045 15232 15368 15820 16048 16320 16520 18080 18880 18984 19040 19210 19824 20001 20060 21063 21696 22656 22848 23052 23730 24072 24780 25312 26432 26668 26894 27120 27617 28084 28320 28560 28815 30090 30736 31640 32096 32640 33040 33335 35105 36160 37760 37968 38080 38420 39648 40002 40120 40341 42126 43392 45696 46104 46669 47460 48144 49560 50624 52864 53336 53788 54240 55234 56168 56640 57120 57630 60180 61472 63280 64192 66080 66670 67235 70210 72320 75936 76160 76840 79296 80004 80240 80682 82851 84252 92208 93338 94920 96288 99120 100005 101248 105315 106672 107576 108480 110468 112336 113280 113339 114240 115260 120360 122944 126560 128384 132160 133340 134470 138085 140007 140420 151872 153680 158592 160008 160480 161364 165702 168504 184416 186676 189840 192576 193319 198240 200010 201705 210630 213344 215152 216960 220936 224672 226678 228480 230520 233345 240720 245888 253120 264320 266680 268940 276170 280014 280840 303744 307360 320016 320960 322728 331404 337008 340017 368832 373352 379680 385152 386638 396480 400020 403410 414255 421260 426688 430304 441872 449344 453356 461040 466690 469489 481440 506240 533360 537880 552340 560028 561680 566695 579957 614720 640032 641920 645456 662808 674016 680034 700035 737664 746704 759360 773276 792960 793373 800040 806820 828510 842520 853376 860608 883744 898688 906712 922080 933380 938978 962880 966595 1066720 1075760 1104680 1120056 1123360 1133390 1159914 1229440 1280064 1290912 1325616 1348032 1360068 1400070 1408467 1493408 1518720 1546552 1586746 1600080 1613640 1629403 1657020 1685040 1700085 1721216 1767488 1813424 1844160 1866760 1877956 1925760 1933190 2133440 2151520 2209360 2240112 2246720 2266780 2319828 2347445 2380119 2560128 2581824 2651232 2696064 2720136 2800140 2816934 2899785 2986816 3093104 3120721 3173492 3200160 3227280 3258806 3286423 3314040 3370080 3400170 3534976 3626848 3688320 3733520 3755912 3866380 3966865 4266880 4303040 4418720 4480224 4493440 4533560 4639656 4694890 4760238 4888209 5163648 5302464 5440272 5600280 5633868 5799570 5973632 6186208 6241442 6346984 6400320 6454560 6517612 6572846 6628080 6740160 6800340 7042335 7253696 7467040 7511824 7732760 7933730 8147015 8606080 8837440 8960448 9067120 9279312 9362163 9389780 9520476 9776418 9859269 10604928 10880544 11200560 11267736 11405821 11599140 11900595 12372416 12482884 12693968 12800640 12909120 13035224 13145692 13256160 13480320 13600680 14084670 14507392 14934080 15023648 15465520 15603605 15867460 16294030 16432115 17674880 17920896 18134240 18558624 18724326 18779560 19040952 19552836 19718538 21761088 21845047 22401120 22535472 22811642 23198280 23801190 24441045 24744832 24965768 25387936 25818240 26070448 26291384 26512320 27201360 27699851 28169340 29868160 30047296 30931040 31207210 31734920 32588060 32864230 34217463 36268480 37117248 37448652 37559120 38081904 39105672 39437076 43522176 43690094 44802240 45070944 45623284 46396560 46810815 47602380 48882090 49296345 49931536 50775872 52140896 52582768 53024640 53052257 54402720 55399702 56338680 57029105 60094592 61862080 62414420 63469840 65176120 65535141 65728460 68434926 72536960 74234496 74897304 75118240 76163808 78211344 78874152 83099553 87380188 89604480 90141888 91246568 92793120 93621630 95204760 97764180 98592690 99863072 101551744 104281792 105165536 106104514 108805440 109225235 110799404 112677360 114058210 123724160 124828840 126939680 130352240 131070282 131456920 136869852 138499255 149794608 150236480 152327616 156422688 157748304 159156771 166199106 171087315 174760376 180283776 182493136 184122539 185586240 187243260 190409520 193898957 195528360 197185380 199726144 208563584 210331072 212209028 217610880 218450470 221598808 225354720 228116420 249657680 253879360 260704480 262140564 262913840 265261285 273739704 276998510 299589216 300472960 304655232 312845376 315496608 318313542 327675705 332398212 342174630 349520752 364986272 368245078 371172480 371365799 374486520 380819040 387797914 391056720 394370760 399452288 415497765 420662144 424418056 436900940 443197616 450709440 456232840 499315360 507758720 521408960 524281128 525827680 530522570 547479408 552367617 553997020 581696871 599178432 625690752 630993216 636627084 655351410 664796424 684349260 699041504 729972544 736490156 742731598 748973040 761638080 775595828 782113440 788741520 795783855 830995530 848836112 873801880 886395232 901418880 912465680 920612695 969494785 998630720 1042817920 1048562256 1051655360 1061045140 1094958816 1104735234 1107994040 1114097397 1163393742 1198356864 1261986432 1273254168 1288857773 1310702820 1329592848 1368698520 1398083008 1459945088 1472980312 1485463196 1497946080 1523276160 1551191656 1564226880 1577483040 1591567710 1661991060 1697672224 1747603760 1772790464 1824931360 1841225390 1856828995 1938989570 1997261440 2097124512 2103310720 2122090280 2189917632 2209470468 2215988080 2228194794 2326787484 2546508336 2577715546 2621405640 2659185696 2737397040 2761838085 2796166016 2908484355 2945960624 2970926392 2995892160 3102383312 3128453760 3130083163 3154966080 3183135420 3323982120 3395344448 3495207520 3545580928 3649862720 3682450780 3713657990 3866573319 3877979140 4194249024 4244180560 4379835264 4418940936 4431976160 4456389588 4653574968 5093016672 5155431092 5242811280 5318371392 5474794080 5523676170 5570486985 5816968710 5891921248 5941852784 5991784320 6204766624 6260166326 6309932160 6366270840 6444288865 6647964240 6790688896 6990415040 7299725440 7364901560 7427315980 7733146638 7755958280 8388498048 8488361120 8837881872 8863952320 8912779176 9307149936 9390249489 10186033344 10310862184 10485622560 10636742784 10949588160 11047352340 11140973970 11633937420 11783842496 11883705568 12409533248 12520332652 12732541680 12888577730 13295928480 13980830080 14729803120 14854631960 15466293276 15511916560 15650415815 16976722240 17675763744 17727904640 17825558352 18614299872 18780498978 19332866595 20372066688 20621724368 20971245120 21899176320 21910582141 22094704680 22281947940 23267874840 23567684992 23767411136 24819066496 25040665304 25465083360 25777155460 26591856960 29459606240 29709263920 30932586552 31023833120 31300831630 33953444480 35351527488 35651116704 37228599744 37560997956 38665733190 41243448736 41942490240 43821164282 44189409360 44563895880 46535749680 46951247445 47534822272 50081330608 50930166720 51554310920 53183713920 58919212480 59418527840 61865173104 62047666240 62601663260 65731746423 70703054976 71302233408 74457199488 75121995912 77331466380 82486897472 87642328564 88378818720 89127791760 93071499360 93902494890 100162661216 101860333440 103108621840 109552910705 117838424960 118837055680 123730346208 124095332480 125203326520 131463492846 142604466816 150243991824 154662932760 164973794944 175284657128 176757637440 178255583520 186142998720 187804989780 200325322432 206217243680 219105821410 237674111360 247460692416 250406653040 262926985692 300487983648 309325865520 328658732115 350569314256 353515274880 356511167040 372285997440 375609979560 400650644864 412434487360 438211642820 494921384832 500813306080 525853971384 600975967296 618651731040 657317464230 701138628512 713022334080 751219959120 824868974720 876423285640 1001626612160 1051707942768 1201951934592 1237303462080 1314634928460 1402277257024 1502439918240 1752846571280 2003253224320 2103415885536 2474606924160 2629269856920 2804554514048 3004879836480 3505693142560 4206831771072 5258539713840 6009759672960 7011386285120 8413663542144 10517079427680 14022772570240 21034158855360 42068317710720
- Sum of all divisors σ(n): 166480066713600
- Sum of proper divisors (its aliquot sum) s(n): 124411749002880
- 42068317710720 is an abundant number, because the sum of its proper divisors (124411749002880) is greater than itself. Its abundance is 82343431292160
Bases of 42068317710720
- Binary: 10011001000010110010110010001000101001100000002
- Hexadecimal: 0x2642CB222980
- Base-36: EWTX26YDC
Squares and roots of 42068317710720
- 42068317710720 squared (420683177107202) is 1769743355010078021602918400
- 42068317710720 cubed (420683177107203) is 74450125724999497680287070889958965248000
-
The
square root of 42068317710720 is 6486009.3825649065 -
The
cube root of 42068317710720 is 34779.1033964475
Scales and comparisons
How big is 42068317710720?- 42,068,317,710,720 seconds is equal to 1,337,642 years, 19 weeks, 4 days, 8 hours, 32 minutes.
-
To count from 1 to 42,068,317,710,720 would take you about three million, three hundred forty-four thousand, one hundred five 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 42068317710720 cubic inches would be around 2898.3 feet tall.
Recreational maths with 42068317710720
- 42068317710720 backwards is 02701771386024
- 42068317710720 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42068317710720's digits is 48
- More coming soon!
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The information we have on file for 42068317710720 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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