97842536405432000

Names of 97842536405432000

• Cardinal: 97842536405432000 can be written as Ninety-seven quadrillion, eight hundred forty-two trillion, five hundred thirty-six billion, four hundred five million, four hundred thirty-two thousand.

Scientific notation

• Scientific notation: 9.7842536405432 × 10¹⁶

Factors of 97842536405432000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 19778

Divisors of 97842536405432000

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 91 100 104 112 125 130 140 160 175 182 200 208 224 250 260 280 320 325 350 364 400 416 448 455 500 520 560 650 700 728 800 832 875 910 1000 1040 1120 1300 1400 1456 1600 1625 1750 1820 2000 2080 2240 2275 2600 2800 2912 3109 3221 3250 3500 3640 4000 4160 4550 5200 5600 5824 6218 6442 6500 7000 7280 8000 9100 10400 11200 11375 12436 12884 13000 13421 14000 14560 15545 16105 18200 20800 21763 22547 22750 24872 25768 26000 26842 28000 29120 31090 32210 36400 40417 41873 43526 45094 45500 49744 51536 52000 53684 56000 62180 64420 67105 72800 77725 80525 80834 83746 87052 90188 91000 93947 99488 103072 104000 107368 108815 112735 124360 128840 134210 145600 155450 161050 161668 167492 174104 174473 180376 182000 187894 198976 202085 206144 209365 214736 217630 225470 248720 257680 268420 282919 293111 310900 322100 323336 334984 335525 348208 348946 360752 364000 375788 388625 402625 404170 418730 429472 435260 450940 469735 497440 515360 536840 544075 563675 565838 586222 621800 644200 646672 669968 671050 696416 697892 721504 728000 751576 777250 805250 808340 837460 858944 870520 872365 901880 939470 994880 1010425 1030720 1046825 1073680 1088150 1127350 1131676 1172444 1221311 1243600 1288400 1293344 1339936 1342100 1392832 1395784 1414595 1443008 1465555 1503152 1554500 1610500 1616680 1674920 1677625 1741040 1744730 1803760 1878940 2020850 2093650 2147360 2176300 2254700 2263352 2344888 2348675 2442622 2487200 2576800 2586688 2679872 2684200 2720375 2791568 2818375 2829190 2931110 3006304 3109000 3221000 3233360 3349840 3355250 3482080 3489460 3607520 3757880 4041700 4187300 4294720 4352600 4361825 4509400 4526704 4689776 4697350 4885244 4974400 5052125 5153600 5234125 5368400 5440750 5583136 5636750 5658380 5862220 6012608 6106555 6218000 6442000 6466720 6699680 6710500 6964160 6978920 7072975 7215040 7327775 7515760 8083400 8374600 8705200 8723650 9018800 9053408 9379552 9394700 9770488 10014089 10104250 10468250 10736800 10881500 11166272 11273500 11316760 11724440 11743375 12213110 12436000 12884000 12933440 13399360 13421000 13957840 14145950 14655550 15031520 16166800 16749200 17410400 17447300 18037600 18106816 18759104 18789400 19540976 20028178 20208500 20936500 21473600 21763000 21809125 22547000 22633520 23448880 23486750 24426220 24872000 25768000 26842000 27915680 28291900 29311100 30063040 30532775 32333600 33498400 34820800 34894600 35364875 36075200 36638875 37578800 39081952 40056356 40417000 41725889 41873000 43229041 43526000 43618250 45094000 45267040 46897760 46973500 48852440 50070445 53684000 55831360 56583800 58622200 61065550 64667200 66996800 69789200 70098623 70729750 73277750 75157600 78163904 80112712 80834000 83451778 83746000 86458082 87052000 87236500 90188000 90534080 93795520 93947000 97704880 100140890 107368000 113167600 117244400 122131100 130183157 139578400 140197246 141459500 146555500 150315200 152663875 160225424 161668000 166903556 167492000 172916164 174104000 174473000 180376000 187894000 195409760 200281780 208629445 216145205 226335200 234488800 244262200 250352225 260366314 279156800 280394492 282919000 292081223 293111000 302603287 305327750 320450848 323336000 333807112 334984000 345832328 348946000 350493115 375788000 390819520 400563560 417258890 432290410 452670400 468977600 488524400 500704450 520732628 542436557 560788984 561977533 565838000 584162446 586222000 605206574 610655500 640901696 650915785 667614224 691664656 697892000 700986230 751576000 801127120 834517780 864580820 911282099 977048800 1001408900 1041465256 1043147225 1080726025 1084873114 1121577968 1123955066 1131676000 1168324892 1172444000 1210413148 1221311000 1251761125 1301831570 1335228448 1383329312 1395784000 1401972460 1460406115 1513016435 1602254240 1669035560 1729161640 1752465575 1822564198 1954097600 2002817800 2082930512 2086294450 2161452050 2169746228 2243155936 2247910132 2263352000 2336649784 2344888000 2420826296 2442622000 2503522250 2603663140 2670456896 2712182785 2766658624 2803944920 2809887665 2920812230 3026032870 3204508480 3254578925 3338071120 3458323280 3504931150 3645128396 3797055899 3933842731 4005635600 4165861024 4172588900 4322904100 4339492456 4486311872 4495820264 4556410495 4673299568 4841652592 4885244000 5007044500 5207326280 5215736125 5403630125 5424365570 5607889840 5619775330 5841624460 6052065740 6509157850 6676142240 6916646560 7009862300 7290256792 7302030575 7565082175 7594111798 7867685462 8011271200 8331722048 8345177800 8645808200 8678984912 8762327875 8991640528 9112820990 9346599136 9683305184 9770488000 10014089000 10414652560 10431472250 10807260250 10848731140 11215779680 11239550660 11683248920 12104131480 13018315700 13352284480 13560913925 13833293120 14019724600 14049438325 14580513584 14604061150 15130164350 15188223596 15735370924 16022542400 16272894625 16690355600 17291616400 17357969824 17524655750 17983281056 18225641980 18693198272 18985279495 19366610368 19669213655 20028178000 20829305120 20862944500 21614520500 21697462280 22431559360 22479101320 22782052475 23366497840 24208262960 26036631400 27121827850 28039449200 28098876650 29161027168 29208122300 30260328700 30376447192 31470741848 32545789250 33380711200 34583232800 34715939648 35049311500 35966562112 36451283960 36510152875 37825410875 37970558990 39338427310 40056356000 41658610240 41725889000 43229041000 43394924560 44958202640 45564104950 46732995680 48416525920 52073262800 54243655700 56078898400 56197753300 58322054336 58416244600 60520657400 60752894384 62941483696 65091578500 66761422400 67804569625 69166465600 70098623000 70247191625 72902567920 73020305750 75650821750 75941117980 78676854620 80112712000 83451778000 86458082000 86789849120 89916405280 91128209900 93465991360 94926397475 96833051840 98346068275 104146525600 108487311400 112157796800 112395506600 113910262375 116832489200 121041314800 121505788768 125882967392 130183157000 134399088469 135609139250 140197246000 140494383250 145805135840 146040611500 151301643500 151882235960 157353709240 166903556000 172916164000 173579698240 179832810560 182256419800 189852794950 196692136550 208293051200 216974622800 224791013200 227820524750 233664978400 242082629600 243011577536 251765934784 260366314000 268798176938 271218278500 280394492000 280988766500 291610271680 292081223000 302603287000 303764471920 314707418480 333807112000 345832328000 364512839600 379705589900 393384273100 433949245600 449582026400 455641049500 467329956800 474631987375 484165259200 491730341375 520732628000 537596353876 542436557000 560788984000 561977533000 584162446000 605206574000 607528943840 629414836960 671995442345 729025679200 759411179800 786768546200 867898491200 899164052800 911282099000 940793619283 949263974750 983460682750 1041465256000 1075192707752 1084873114000 1123955066000 1168324892000 1210413148000 1215057887680 1258829673920 1343990884690 1458051358400 1518822359600 1573537092400 1747188150097 1822564198000 1881587238566 1898527949500 1966921365500 2150385415504 2169746228000 2247910132000 2336649784000 2420826296000 2687981769380 3037644719200 3147074184800 3359977211725 3494376300194 3645128396000 3763174477132 3797055899000 3933842731000 4300770831008 4339492456000 4495820264000 4703968096415 5375963538760 6075289438400 6294148369600 6719954423450 6988752600388 7290256792000 7526348954264 7594111798000 7867685462000 8601541662016 8735940750485 9407936192830 10751927077520 12230317050679 13439908846900 13977505200776 15052697908528 15188223596000 15735370924000 16799886058625 17471881500970 18815872385660 21503854155040 23519840482075 24460634101358 26879817693800 27955010401552 30105395817056 30376447192000 31470741848000 33599772117250 34943763001940 37631744771320 43007708310080 43679703752425 47039680964150 48921268202716 53759635387600 55910020803104 60210791634112 61151585253395 67199544234500 69887526003880 75263489542640 87359407504850 94079361928300 97842536405432 107519270775200 111820041606208 117599202410375 122303170506790 134399088469000 139775052007760 150526979085280 174718815009700 188158723856600 195685072810864 215038541550400 218398518762125 235198404820750 244606341013580 268798176938000 279550104015520 301053958170560 305757926266975 349437630019400 376317447713200 391370145621728 436797037524250 470396809641500 489212682027160 537596353876000 559100208031040 611515852533950 698875260038800 752634895426400 782740291243456 873594075048500 940793619283000 978425364054320 1075192707752000 1223031705067900 1397750520077600 1505269790852800 1528789631334875 1747188150097000 1881587238566000 1956850728108640 2446063410135800 2795501040155200 3057579262669750 3494376300194000 3763174477132000 3913701456217280 4892126820271600 6115158525339500 6988752600388000 7526348954264000 9784253640543200 12230317050679000 13977505200776000 19568507281086400 24460634101358000 48921268202716000 97842536405432000
• Sum of all divisors σ(n): 298434825727234560
• Sum of proper divisors (its aliquot sum) s(n): 200592289321802560
• 97842536405432000 is an abundant number, because the sum of its proper divisors (200592289321802560) is greater than itself. Its abundance is 102749752916370560

Bases of 97842536405432000

• Binary: 101011011100110110100010010111010010111100111011011000000₂
• Hexadecimal: 0x15B9B44BA5E76C0
• Base-36: QREA8PGD6M8

Squares and roots of 97842536405432000

• 97842536405432000 squared (97842536405432000²) is 9573161930248286275479106624000000
• 97842536405432000 cubed (97842536405432000³) is 936662444675413626551293608346603620781568000000000
• The square root of 97842536405432000 is 312797916.2421514597
• The cube root of 97842536405432000 is 460796.5662656131

Scales and comparisons

• 97,842,536,405,432,000 seconds is equal to 3,111,090,010 years, 44 weeks, 3 days, 18 hours, 13 minutes, 20 seconds.
• To count from 1 to 97,842,536,405,432,000 would take you about nine billion, three hundred thirty-three million, two hundred seventy thousand and thirty-two 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 97842536405432000 cubic inches would be around 38399.7 feet tall.

Recreational maths with 97842536405432000

• 97842536405432000 backwards is 00023450463524879
• The number of decimal digits it has is: 17
• The sum of 97842536405432000's digits is 62
• More coming soon!