345828573406540800

Names of 345828573406540800

• Cardinal: 345828573406540800 can be written as Three hundred forty-five quadrillion, eight hundred twenty-eight trillion, five hundred seventy-three billion, four hundred six million, five hundred forty thousand, eight hundred.

Scientific notation

• Scientific notation: 3.458285734065408 × 10¹⁷

Factors of 345828573406540800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 1252

Divisors of 345828573406540800

• Number of divisors d(n): 1188
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 64 72 75 80 87 90 96 100 116 120 128 144 145 150 160 174 180 192 200 225 232 240 256 261 288 290 300 320 348 360 384 400 435 450 464 480 512 522 576 580 600 640 696 720 725 768 800 841 870 900 928 960 1024 1044 1152 1160 1200 1213 1280 1305 1392 1440 1450 1536 1600 1682 1740 1800 1856 1920 2088 2175 2304 2320 2400 2426 2523 2560 2610 2784 2880 2900 3072 3200 3364 3480 3600 3639 3712 3840 4176 4205 4350 4608 4640 4800 4852 5046 5120 5220 5568 5760 5800 6065 6400 6525 6728 6960 7200 7278 7424 7569 7680 8352 8410 8700 9216 9280 9600 9704 10092 10440 10917 11136 11520 11600 12130 12615 12800 13050 13456 13920 14400 14556 14848 15138 15360 16704 16820 17400 18195 18560 19200 19408 20184 20880 21025 21834 22272 23040 23200 24260 25230 25600 26100 26912 27840 28800 29112 29696 30276 30325 33408 33640 34800 35177 36390 37120 37845 38400 38816 40368 41760 42050 43668 44544 46080 46400 48520 50460 52200 53824 54585 55680 57600 58224 60552 60650 63075 66816 67280 69600 70354 72780 74240 75690 76800 77632 80736 83520 84100 87336 89088 90975 92800 97040 100920 104400 105531 107648 109170 111360 115200 116448 121104 121300 126150 133632 134560 139200 140708 145560 148480 151380 155264 161472 167040 168200 174672 175885 181950 185600 189225 194080 201840 208800 211062 215296 218340 222720 230400 232896 242208 242600 252300 267264 269120 272925 278400 281416 291120 302760 310528 316593 322944 334080 336400 349344 351770 363900 371200 378450 388160 403680 417600 422124 430592 436680 445440 465792 484416 485200 504600 527655 538240 545850 556800 562832 582240 605520 621056 633186 645888 668160 672800 698688 703540 727800 742400 756900 776320 807360 835200 844248 861184 873360 879425 931584 968832 970400 1009200 1020133 1055310 1076480 1091700 1113600 1125664 1164480 1211040 1242112 1266372 1291776 1336320 1345600 1397376 1407080 1455600 1471369 1513800 1552640 1582965 1614720 1670400 1688496 1746720 1758850 1863168 1937664 1940800 2018400 2040266 2110620 2152960 2183400 2227200 2251328 2328960 2422080 2532744 2583552 2638275 2691200 2794752 2814160 2911200 2942738 3027600 3060399 3105280 3165930 3229440 3340800 3376992 3493440 3517700 3726336 3875328 3881600 4036800 4080532 4221240 4305920 4366800 4414107 4502656 4657920 4844160 5065488 5100665 5276550 5382400 5589504 5628320 5822400 5885476 6055200 6120798 6210560 6331860 6458880 6681600 6753984 6986880 7035400 7356845 7750656 7763200 7914825 8073600 8161064 8442480 8733600 8828214 9005312 9181197 9315840 9688320 10130976 10201330 10553100 10764800 11179008 11256640 11644800 11770952 12110400 12241596 12663720 12917760 13242321 13507968 13973760 14070800 14713690 15301995 15526400 15829650 16147200 16322128 16884960 17467200 17656428 18010624 18362394 18631680 19376640 20261952 20402660 21106200 21529600 22070535 22513280 23289600 23541904 24220800 24483192 25327440 25503325 26484642 27015936 27947520 28141600 29427380 30603990 31052800 31659300 32294400 32644256 33769920 34934400 35312856 36021248 36724788 36784225 38753280 40523904 40805320 42212400 42669701 44141070 45026560 45905985 46579200 47083808 48441600 48966384 50654880 51006650 52969284 54031872 55895040 56283200 58854760 61207980 63318600 64588800 65288512 66211605 67539840 69868800 70625712 73449576 73568450 76509975 81047808 81610640 84424800 85339402 88282140 90053120 91811970 93158400 94167616 96883200 97932768 101309760 102013300 105938568 108063744 110352675 112566400 117709520 122415960 126637200 128009103 130577024 132423210 135079680 139737600 141251424 146899152 147136900 153019950 162095616 163221280 168849600 170678804 176564280 180106240 183623940 188335232 193766400 195865536 202619520 204026600 211877136 213348505 220705350 225132800 229529925 235419040 244831920 253274400 256018206 261154048 264846420 270159360 279475200 282502848 293798304 294273800 306039900 324191232 326442560 331058025 337699200 341357608 353128560 367247880 376670464 384027309 391731072 405239040 408053200 423754272 426697010 441410700 450265600 459059850 470838080 489663840 506548800 512036412 522308096 529692840 540318720 565005696 587596608 588547600 612079800 640045515 652885120 662116050 675398400 682715216 706257120 734495760 753340928 768054618 783462144 810478080 816106400 847508544 853394020 882821400 900531200 918119700 941676160 979327680 1013097600 1024072824 1044616192 1059385680 1066742525 1130011392 1175193216 1177095200 1224159600 1237421329 1280091030 1305770240 1324232100 1350796800 1365430432 1412514240 1468991520 1506681856 1536109236 1566924288 1620956160 1632212800 1695017088 1706788040 1765642800 1784770597 1836239400 1883352320 1920136545 1958655360 2026195200 2048145648 2118771360 2133485050 2260022784 2350386432 2354190400 2448319200 2474842658 2560182060 2611540480 2648464200 2701593600 2730860864 2825028480 2937983040 3072218472 3133848576 3200227575 3264425600 3390034176 3413576080 3531285600 3569541194 3672478800 3712263987 3766704640 3840273090 3917310720 4052390400 4096291296 4237542720 4266970100 4520045568 4700772864 4708380800 4896638400 4949685316 5120364120 5223080960 5296928400 5354311791 5461721728 5650056960 5875966080 6144436944 6187106645 6400455150 6528851200 6780068352 6827152160 7062571200 7139082388 7344957600 7424527974 7533409280 7680546180 7834621440 8104780800 8192582592 8475085440 8533940200 8923852985 9401545728 9416761600 9600682725 9793276800 9899370632 10240728240 10593856800 10708623582 10923443456 11136791961 11300113920 11751932160 12288873888 12374213290 12800910300 13057702400 13560136704 13654304320 14125142400 14278164776 14689915200 14849055948 15361092360 15669242880 16062935373 16385165184 16950170880 17067880400 17847705970 18561319935 18833523200 19201365450 19586553600 19798741264 20481456480 21187713600 21417247164 21846886912 22273583922 22600227840 23503864320 24577747776 24748426580 25601820600 26115404800 26771558955 27308608640 28250284800 28556329552 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1267119440896 1285034829840 1293958682825 1370703818496 1425509371008 1427816477600 1484905594800 1500992072077 1552750419390 1583899301120 1606293537300 1638516518400 1656267114016 1713379773120 1781886713760 1827605091328 1863300503268 1900679161344 1966219822080 1979874126400 2056055727744 2070333892520 2141724716400 2227358392200 2284506364160 2329125629085 2375848951680 2457774777600 2484400671024 2570069659680 2587917365650 2741407636992 2851018742016 2855632955200 2969811189600 3001984144154 3105500838780 3167798602240 3212587074600 3277033036800 3312534228032 3426759546240 3563773427520 3726601006536 3801358322688 3881876048475 3959748252800 4112111455488 4140667785040 4283449432800 4454716784400 4502976216231 4569012728320 4658251258170 4751697903360 4915549555200 4968801342048 5140139319360 5175834731300 5482815273984 5702037484032 5711265910400 5939622379200 6003968288308 6211001677560 6335597204480 6425174149200 6625068456064 6853519092480 7127546855040 7453202013072 7504960360385 7763752096950 7919496505600 8224222910976 8281335570080 8566898865600 8909433568800 9005952432462 9138025456640 9316502516340 9503395806720 9831099110400 9937602684096 10280278638720 10351669462600 11404074968064 11422531820800 11645628145425 11879244758400 12007936576616 12422003355120 12850348298400 13250136912128 13508928648693 13707038184960 14255093710080 14906404026144 15009920720770 15527504193900 15838993011200 16448445821952 16562671140160 17133797731200 17818867137600 18011904864924 18633005032680 19006791613440 19875205368192 20560557277440 20703338925200 22514881081155 22845063641600 23291256290850 23758489516800 24015873153232 24844006710240 25700696596800 26500273824256 27017857297386 27414076369920 28510187420160 29812808052288 30019841441540 31055008387800 31677986022400 33125342280320 34267595462400 35637734275200 36023809729848 37266010065360 37524801801925 39750410736384 41121114554880 41406677850400 45029762162310 45690127283200 46582512581700 47516979033600 48031746306464 49688013420480 51401393193600 53000547648512 54035714594772 57020374840320 59625616104576 60039682883080 62110016775600 66250684560640 67544643243465 68535190924800 71275468550400 72047619459696 74532020130720 75049603603850 79500821472768 82242229109760 82813355700800 90059524324620 93165025163400 95033958067200 96063492612928 99376026840960 102802786387200 108071429189544 112574405405775 119251232209152 120079365766160 124220033551200 132501369121280 135089286486930 137070381849600 142550937100800 144095238919392 149064040261440 150099207207700 159001642945536 165626711401600 180119048649240 186330050326800 192126985225856 198752053681920 205605572774400 216142858379088 225148810811550 238502464418304 240158731532320 248440067102400 265002738242560 270178572973860 285101874201600 288190477838784 298128080522880 300198414415400 331253422803200 337723216217325 360238097298480 372660100653600 384253970451712 397504107363840 411211145548800 432285716758176 450297621623100 477004928836608 480317463064640 496880134204800 540357145947720 576380955677568 596256161045760 600396828830800 662506845606400 675446432434650 720476194596960 745320201307200 768507940903424 795008214727680 864571433516352 900595243246200 960634926129280 993760268409600 1080714291895440 1152761911355136 1192512322091520 1200793657661600 1325013691212800 1350892864869300 1440952389193920 1490640402614400 1537015881806848 1729142867032704 1801190486492400 1921269852258560 1987520536819200 2161428583790880 2305523822710272 2385024644183040 2401587315323200 2701785729738600 2881904778387840 2981280805228800 3458285734065408 3602380972984800 3842539704517120 3975041073638400 4322857167581760 4611047645420544 4803174630646400 5403571459477200 5763809556775680 5962561610457600 6916571468130816 7204761945969600 7685079409034240 8645714335163520 9606349261292800 10807142918954400 11527619113551360 11925123220915200 13833142936261632 14409523891939200 17291428670327040 19212698522585600 21614285837908800 23055238227102720 28819047783878400 34582857340654080 38425397045171200 43228571675817600 57638095567756800 69165714681308160 86457143351635200 115276191135513600 172914286703270400 345828573406540800
• Sum of all divisors σ(n): 1283457899817722980
• Sum of proper divisors (its aliquot sum) s(n): 937629326411182180
• 345828573406540800 is an abundant number, because the sum of its proper divisors (937629326411182180) is greater than itself. Its abundance is 591800753004641380

Bases of 345828573406540800

• Binary: 10011001100101000010100000101010111000100111011010000000000₂
• Hexadecimal: 0x4CCA1415713B400
• Base-36: 2ML5ZXDL3B40

Squares and roots of 345828573406540800

• 345828573406540800 squared (345828573406540800²) is 119597402184403178625832222064640000
• 345828573406540800 cubed (345828573406540800³) is 41360198980560457682804674055122297182656397312000000
• The square root of 345828573406540800 is 588071911.7646589317
• The cube root of 345828573406540800 is 701918.9343479355

Scales and comparisons

• 345,828,573,406,540,800 seconds is equal to 10,996,278,916 years, 16 weeks, 2 days, 16 hours.
• To count from 1 to 345,828,573,406,540,800 would take you about thirty-two billion, nine hundred eighty-eight million, eight hundred thirty-six thousand, seven hundred forty-eight 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 345828573406540800 cubic inches would be around 58493.2 feet tall.

Recreational maths with 345828573406540800

• 345828573406540800 backwards is 008045604375828543
• 345828573406540800 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 345828573406540800's digits is 72
• More coming soon!