67742137985020200
67,742,137,985,020,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 67742137985020200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
67742137985020200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 67742137985020200:
23 × 32 × 52 × 133 × 973 × 1372
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 97 × 97 × 97 × 137 × 137)See below for interesting mathematical facts about the number 67742137985020200 from the Numbermatics database.
Names of 67742137985020200
- Cardinal: 67742137985020200 can be written as Sixty-seven quadrillion, seven hundred forty-two trillion, one hundred thirty-seven billion, nine hundred eighty-five million, twenty thousand, two hundred.
Scientific notation
- Scientific notation: 6.77421379850202 × 1016
Factors of 67742137985020200
Divisors of 67742137985020200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 97 100 104 117 120 130 137 150 156 169 180 194 195 200 225 234 260 274 291 300 312 325 338 360 388 390 411 450 468 485 507 520 548 582 585 600 650 676 685 776 780 822 845 873 900 936 970 975 1014 1096 1164 1170 1233 1261 1300 1352 1370 1455 1521 1560 1644 1690 1746 1781 1800 1940 1950 2028 2055 2197 2328 2340 2425 2466 2522 2535 2600 2740 2910 2925 3042 3288 3380 3425 3492 3562 3783 3880 3900 4056 4110 4225 4365 4394 4680 4850 4932 5044 5070 5343 5480 5820 5850 6084 6165 6305 6591 6760 6850 6984 7124 7275 7566 7605 7800 8220 8450 8730 8788 8905 9409 9700 9864 10088 10140 10275 10686 10985 11349 11640 11700 12168 12330 12610 12675 13182 13289 13700 14248 14550 15132 15210 16029 16393 16440 16900 17460 17576 17810 18769 18818 18915 19400 19773 20280 20550 21372 21825 21970 22698 23153 23400 24660 25220 25350 26364 26578 26715 27400 28227 29100 30264 30420 30825 31525 32058 32786 32955 33800 34920 35620 37538 37636 37830 38025 39546 39867 41100 42744 43650 43940 44525 45396 46306 47045 49179 49320 50440 50700 52728 53156 53430 54925 56307 56454 56745 58200 60840 61650 63050 64116 65572 65910 66445 69459 71240 75076 75272 75660 76050 79092 79734 80145 81965 82200 84681 87300 87880 89050 90792 92612 93845 94090 94575 98358 98865 101400 106312 106860 109850 112614 112908 113490 115765 119601 122317 123300 126100 128232 131144 131820 132890 133575 138918 141135 147537 150152 151320 152100 158184 159468 160290 163930 164775 168921 169362 172757 174600 178100 185224 187690 188180 189150 196716 197730 199335 208377 213109 213720 219700 225228 225816 226980 231530 235225 239202 243997 244634 245895 246600 252200 263640 265780 267150 277836 281535 282270 283725 295074 300989 304200 318936 320580 327860 329550 332225 337842 338724 345514 347295 356200 366951 375380 376360 378300 393432 395460 398670 400725 409825 416754 423405 426218 439400 450456 453960 463060 469225 470450 478404 487994 489268 491790 494325 518271 531560 534300 555672 563070 564540 567450 578825 590148 598005 601978 611585 639327 641160 655720 659100 664450 675684 677448 691028 694590 705675 731991 733902 737685 750760 756600 790920 797340 801450 819650 833508 844605 846810 852436 863785 902967 912673 926120 938450 940900 956808 975988 978536 983580 988650 996675 1036542 1041885 1065545 1068600 1100853 1126140 1129080 1134900 1157650 1180296 1196010 1203956 1219985 1223170 1229475 1278654 1289033 1318200 1328900 1351368 1382056 1389180 1407675 1411350 1463982 1467804 1475370 1504945 1554813 1590121 1594680 1602900 1639300 1667016 1689210 1693620 1704872 1727570 1736475 1805934 1820593 1825346 1834755 1876900 1881800 1917981 1951976 1967160 1977300 1993350 2073084 2083770 2117025 2131090 2195973 2201706 2245841 2252280 2269800 2315300 2392020 2407912 2439970 2446340 2458950 2557308 2578066 2591355 2657800 2708901 2738019 2778360 2815350 2822700 2927964 2935608 2950740 2990025 3009890 3057925 3109626 3171961 3180242 3196635 3205800 3278600 3378420 3387240 3455140 3472950 3611868 3641186 3650692 3659955 3669510 3688425 3753800 3835962 3867099 3954600 3986700 4146168 4167540 4223025 4234050 4262180 4318925 4391946 4403412 4491682 4514835 4563365 4630600 4770363 4784040 4879940 4892680 4917900 5114616 5156132 5182710 5209425 5327725 5417802 5461779 5476038 5504265 5630700 5645400 5855928 5901480 5980050 6019780 6099925 6115850 6219252 6343922 6360484 6393270 6445165 6737523 6756840 6910280 6945900 7223736 7282372 7301384 7319910 7339020 7376850 7524725 7671924 7734198 7774065 7950605 7973400 8214057 8335080 8446050 8468100 8524360 8637850 8783892 8806824 8983364 9029670 9102965 9126730 9173775 9515883 9540726 9589905 9759880 9835800 10312264 10365420 10418850 10655450 10835604 10923558 10952076 10979865 11008530 11229205 11261400 11601297 11864749 11960100 12039560 12199850 12231700 12438504 12687844 12720968 12786540 12890330 12956775 13475046 13544505 13690095 13891800 14311089 14564744 14639820 14678040 14753700 15049450 15343848 15468396 15548130 15859805 15901210 15983175 16385337 16428114 16757429 16892100 16936200 17275700 17567784 17966728 18059340 18205930 18253460 18299775 18347550 19031766 19081452 19179810 19335495 20212569 20671573 20730840 20837700 21310900 21671208 21847116 21904152 21959730 22017060 22458410 22574175 22816825 23202594 23667709 23729498 23851815 23920200 24399700 24463400 25375688 25573080 25780660 25913550 26950092 27089010 27308895 27380190 27521325 28547649 28622178 29195933 29279640 29507400 30098900 30936792 31096260 31719610 31802420 31966350 32225825 32770674 32856228 33514858 33687615 33784200 34551400 35594247 36118680 36411860 36506920 36599550 36695100 38063532 38162904 38359620 38670990 38870325 39753025 40425138 41070285 41235493 41343146 41675400 42621800 43694232 43919460 44034120 44916820 45148350 45514825 45633650 46405188 47335418 47458996 47579415 47703630 47949525 48799400 50272287 51561320 51827100 53900184 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42480082515 42601876200 43569315400 45013032360 45915355460 46152032550 46272521100 47998113852 48123421944 48764118390 49015479825 50128564525 50976099018 51389878611 52552679400 52979256300 55098426552 55382439060 55527025320 56266290450 56640110020 57394194325 58516942068 59689962098 59997642315 60154277430 61536043400 63393353907 63575107560 65018824520 65353973100 67968132024 68519838148 68873033190 69228048825 69408781650 70800137525 71997170778 72185132916 73146177585 74223887400 75021720600 78424767720 79468884450 79996856420 80205703240 81273530650 82647639828 84524471876 84960165030 85649797685 89534943147 90231416145 91830710920 92304065100 92545042200 95996227704 97528236780 98030959650 99996070525 100257129050 101952198036 102779757222 103309549785 105655589845 105958512600 110764878120 112532580900 113280220040 114788388650 117033884136 119379924196 119995284630 120308554860 121910295975 126786707814 127440247545 130707946200 137039676296 137746066380 138456097650 138817563300 141600275050 143994341556 144370265832 146292355170 149224905245 150385693575 154169635833 158937768900 159993712840 162547061300 165295279656 169048943752 169920330060 171299595370 172182582975 179069886294 179992926945 180462832290 184608130200 190180061721 195056473560 196061919300 199992141050 200514258100 203904396072 205559514444 206619099570 211311179690 212400412575 222689473981 225065161800 229576777300 238759848392 239990569260 240617109720 243820591950 253573415628 254880495090 256949393055 268604829441 274704533597 275492132760 276912195300 277635126600 283200550100 287988683112 292584710340 298449810490 299988211575 300771387150 308339271666 316966769535 317875537800 325094122600 339840660120 342599190740 344365165950 358139772588 359985853890 360925664580 365730887925 380360123442 387984753637 392123838600 399984282100 401028516200 411119028888 413238199140 422622359380 424800825150 428248988425 445378947962 447674715735 451157080725 459153554600 479981138520 487641183900 507146831256 509760990180 513898786110 516547748925 528277949225 537209658882 549409067194 553824390600 566401100200 585169420680 596899620980 599976423150 601542774300 616678543332 633933539070 637201237725 668068421943 685198381480 688730331900 716279545176 719971707780 721851329160 731461775850 746124526225 760720246884 770848179165 775969507274 799968564200 824113600791 826476398280 845244718760 849601650300 856497976850 890757895924 895349431470 899964634725 902314161450 950900308605 975282367800 1019521980360 1027797572220 1033095497850 1056555898450 1074419317764 1098818134388 1113447369905 1163954260911 1193799241960 1199952846300 1203085548600 1233357086664 1267867078140 1274402475450 1284746965275 1336136843886 1343024147205 1373522667985 1377460663800 1439943415560 1462923551700 1492249052450 1521440493768 1541696358330 1551939014548 1584833847675 1648227201582 1699203300600 1712995953700 1781515791848 1790698862940 1799929269450 1804628322900 1901800617210 1939923768185 2004205265829 2055595144440 2066190995700 2113111796900 2148838635528 2197636268776 2226894739810 2238373578675 2327908521822 2399905692600 2472340802373 2535734156280 2548804950900 2569493930550 2672273687772 2686048294410 2747045335970 2894963161753 2925847103400 2984498104900 3083392716660 3103878029096 3169667695350 3296454403164 3340342109715 3425991907400 3491862782733 3581397725880 3599858538900 3609256645800 3803601234420 3854240895825 3879847536370 4008410531658 4120568003955 4132381991400 4226223593800 4453789479620 4476747157350 4655817043644 4754501543025 4944681604746 5097609901800 5138987861100 5344547375544 5372096588820 5494090671940 5567236849525 5789926323506 5819771304555 5968996209800 6166785433320 6339335390700 6592908806328 6680684219430 6715120736025 6867613339925 6983725565466 7199717077800 7607202468840 7708481791650 7759695072740 8016821063316 8241136007910 8684889485259 8907578959240 8953494314700 9311634087288 9509003086050 9699618840925 9889363209492 10021026329145 10277975722200 10744193177640 10988181343880 11134473699050 11579852647012 11639542609110 12361704011865 12678670781400 13361368438860 13430241472050 13735226679850 13967451130932 14474815808765 15416963583300 15519390145480 16033642126632 16482272015820 16701710548575 17369778970518 17459313913665 17906988629400 19018006172100 19399237681850 19778726418984 20042052658290 20602840019775 22268947398100 23159705294024 23279085218220 24723408023730 26054668455777 26722736877720 26860482944100 27470453359700 27934902261864 28949631617530 29098856522775 30833927166600 32964544031640 33403421097150 34739557941036 34918627827330 37634521102789 38036012344200 38798475363700 40084105316580 41205680039550 43424447426295 44537894796200 46558170436440 49446816047460 50105131645725 52109336911554 53720965888200 54940906719400 57899263235060 58197713045550 61808520059325 66806842194300 69479115882072 69837255654660 72374079043825 75269042205578 77596950727400 80168210633160 82411360079100 86848894852590 87296569568325 98893632094920 100210263291450 104218673823108 112903563308367 115798526470120 116395426091100 123617040118650 130273342278885 133613684388600 139674511309320 144748158087650 150538084411156 164822720158200 173697789705180 174593139136650 188172605513945 200420526582900 208437347646216 217122237131475 225807126616734 232790852182200 247234080237300 260546684557770 289496316175300 301076168822312 338710689925101 347395579410360 349186278273300 376345211027890 400841053165800 434244474262950 451614253233468 494468160474600 521093369115540 564517816541835 578992632350600 651366711394425 677421379850202 698372556546600 752690422055780 868488948525900 903228506466936 940863027569725 1042186738231080 1129035633083670 1302733422788850 1354842759700404 1505380844111560 1693553449625505 1736977897051800 1881726055139450 2258071266167340 2605466845577700 2709685519400808 2822589082709175 3387106899251010 3763452110278900 4516142532334680 5210933691155400 5645178165418350 6774213798502020 7526904220557800 8467767248127525 11290356330836700 13548427597004040 16935534496255050 22580712661673400 33871068992510100 67742137985020200
- Sum of all divisors σ(n): 250848544565346000
- Sum of proper divisors (its aliquot sum) s(n): 183106406580325800
- 67742137985020200 is an abundant number, because the sum of its proper divisors (183106406580325800) is greater than itself. Its abundance is 115364268595305600
Bases of 67742137985020200
- Binary: 111100001010101100011101100101101110110000110001001010002
- Hexadecimal: 0xF0AB1D96EC3128
- Base-36: IJ0L0KI3Y20
Squares and roots of 67742137985020200
- 67742137985020200 squared (677421379850202002) is 4588997258781516642599594408040000
- 67742137985020200 cubed (677421379850202003) is 310868485517256951115183040130660585206442408000000
-
The
square root of 67742137985020200 is 260273198.7451266561 -
The
cube root of 67742137985020200 is 407648.9234197975
Scales and comparisons
How big is 67742137985020200?- 67,742,137,985,020,200 seconds is equal to 2,153,990,447 years, 38 weeks, 18 hours, 30 minutes.
-
To count from 1 to 67,742,137,985,020,200 would take you about six billion, four hundred sixty-one million, nine hundred seventy-one thousand, three hundred forty-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 67742137985020200 cubic inches would be around 33970.7 feet tall.
Recreational maths with 67742137985020200
- 67742137985020200 backwards is 00202058973124776
- The number of decimal digits it has is: 17
- The sum of 67742137985020200's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 67742137985020200 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 67742137985020200 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/67742137985020200/
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Numbermatics. 2024. "Number 67742137985020200 - Facts about the integer". https://numbermatics.com/n/67742137985020200/
The information we have on file for 67742137985020200 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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