68438438235340800

Names of 68438438235340800

• Cardinal: 68438438235340800 can be written as Sixty-eight quadrillion, four hundred thirty-eight trillion, four hundred thirty-eight billion, two hundred thirty-five million, three hundred forty thousand, eight hundred.

Scientific notation

• Scientific notation: 6.84384382353408 × 10¹⁶

Factors of 68438438235340800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 36
• Sum of prime factors: 1298

Divisors of 68438438235340800

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 121 128 132 150 160 165 176 192 200 220 240 242 256 264 275 300 320 330 352 363 384 400 440 480 484 512 528 550 600 605 640 660 704 726 768 800 825 880 960 968 1024 1056 1100 1200 1210 1277 1280 1320 1331 1408 1452 1536 1600 1650 1760 1815 1920 1936 2048 2112 2200 2400 2420 2554 2560 2640 2662 2816 2904 3025 3072 3200 3300 3520 3630 3831 3840 3872 3993 4096 4224 4400 4800 4840 5108 5120 5280 5324 5632 5808 6050 6144 6385 6400 6600 6655 7040 7260 7662 7680 7744 7986 8192 8448 8800 9075 9600 9680 10216 10240 10560 10648 11264 11616 12100 12288 12770 12800 13200 13310 14047 14080 14520 15324 15360 15488 15972 16384 16896 17600 18150 19155 19200 19360 19965 20432 20480 21120 21296 22528 23232 24200 24576 25540 25600 26400 26620 28094 28160 29040 30648 30720 30976 31925 31944 32768 33275 33792 35200 36300 38310 38400 38720 39930 40864 40960 42141 42240 42592 45056 46464 48400 49152 51080 51200 52800 53240 56188 56320 58080 61296 61440 61952 63850 63888 65536 66550 67584 70235 70400 72600 76620 76800 77440 79860 81728 81920 84282 84480 85184 90112 92928 95775 96800 98304 99825 102160 102400 105600 106480 112376 112640 116160 122592 122880 123904 127700 127776 131072 133100 135168 140470 140800 145200 153240 153600 154517 154880 159720 163456 163840 168564 168960 170368 180224 185856 191550 193600 196608 199650 204320 204800 210705 211200 212960 224752 225280 232320 245184 245760 247808 255400 255552 262144 266200 270336 280940 281600 290400 306480 307200 309034 309760 319440 326912 327680 337128 337920 340736 351175 360448 371712 383100 387200 393216 399300 408640 409600 421410 422400 425920 449504 450560 463551 464640 490368 491520 495616 510800 511104 524288 532400 540672 561880 563200 580800 612960 614400 618068 619520 638880 653824 655360 674256 675840 681472 702350 720896 743424 766200 772585 774400 786432 798600 817280 819200 842820 844800 851840 899008 901120 927102 929280 980736 983040 991232 1021600 1022208 1048576 1053525 1064800 1081344 1123760 1126400 1161600 1225920 1228800 1236136 1239040 1277760 1307648 1310720 1348512 1351680 1362944 1404700 1441792 1486848 1532400 1545170 1548800 1572864 1597200 1634560 1638400 1685640 1689600 1699687 1703680 1798016 1802240 1854204 1858560 1961472 1966080 1982464 2043200 2044416 2097152 2107050 2129600 2162688 2247520 2252800 2317755 2323200 2451840 2457600 2472272 2478080 2555520 2615296 2621440 2697024 2703360 2725888 2809400 2883584 2973696 3064800 3090340 3097600 3145728 3194400 3269120 3276800 3371280 3379200 3399374 3407360 3596032 3604480 3708408 3717120 3862925 3922944 3932160 3964928 4086400 4088832 4194304 4214100 4259200 4325376 4495040 4505600 4635510 4646400 4903680 4915200 4944544 4956160 5099061 5111040 5230592 5242880 5394048 5406720 5451776 5618800 5767168 5947392 6129600 6180680 6195200 6291456 6388800 6538240 6553600 6742560 6758400 6798748 6814720 7192064 7208960 7416816 7434240 7725850 7845888 7864320 7929856 8172800 8177664 8388608 8428200 8498435 8518400 8650752 8990080 9011200 9271020 9292800 9807360 9830400 9889088 9912320 10198122 10222080 10461184 10485760 10788096 10813440 10903552 11237600 11534336 11588775 11894784 12259200 12361360 12390400 12582912 12777600 13076480 13107200 13485120 13516800 13597496 13629440 14384128 14417920 14833632 14868480 15451700 15691776 15728640 15859712 16345600 16355328 16777216 16856400 16996870 17036800 17301504 17980160 18022400 18542040 18585600 19614720 19660800 19778176 19824640 20396244 20444160 20922368 20971520 21576192 21626880 21807104 22475200 23068672 23177550 23789568 24518400 24722720 24780800 25165824 25495305 25555200 26152960 26214400 26970240 27033600 27194992 27258880 28768256 28835840 29667264 29736960 30903400 31383552 31457280 31719424 32691200 32710656 33554432 33712800 33993740 34073600 34603008 35960320 36044800 37084080 37171200 39229440 39321600 39556352 39649280 40792488 40888320 41844736 41943040 42492175 43152384 43253760 43614208 44950400 46137344 46355100 47579136 49036800 49445440 49561600 50331648 50990610 51110400 52305920 52428800 53940480 54067200 54389984 54517760 57536512 57671680 59334528 59473920 61806800 62767104 62914560 63438848 65382400 65421312 67108864 67425600 67987480 68147200 69206016 71920640 72089600 74168160 74342400 78458880 78643200 79112704 79298560 81584976 81776640 83689472 83886080 84984350 86304768 86507520 87228416 89900800 92274688 92710200 95158272 98073600 98890880 99123200 100663296 101981220 102220800 104611840 104857600 107880960 108134400 108779968 109035520 115073024 115343360 118669056 118947840 123613600 125534208 125829120 126877696 127476525 130764800 130842624 134217728 134851200 135974960 136294400 138412032 143841280 144179200 148336320 148684800 156917760 157286400 158225408 158597120 163169952 163553280 167378944 167772160 169968700 172609536 173015040 174456832 179801600 184549376 185420400 190316544 196147200 197781760 198246400 201326592 203962440 204441600 209223680 209715200 215761920 216268800 217559936 218071040 230146048 230686720 237338112 237895680 247227200 251068416 251658240 253755392 254953050 261529600 261685248 268435456 269702400 271949920 272588800 276824064 287682560 288358400 296672640 297369600 313835520 314572800 316450816 317194240 326339904 327106560 334757888 335544320 339937400 345219072 346030080 348913664 359603200 369098752 370840800 380633088 392294400 395563520 396492800 402653184 407924880 408883200 418447360 419430400 431523840 432537600 435119872 436142080 460292096 461373440 474676224 475791360 494454400 502136832 503316480 507510784 509906100 523059200 523370496 536870912 539404800 543899840 545177600 553648128 575365120 576716800 593345280 594739200 627671040 629145600 632901632 634388480 652679808 654213120 669515776 671088640 679874800 690438144 692060160 697827328 719206400 738197504 741681600 761266176 784588800 791127040 792985600 805306368 815849760 817766400 836894720 838860800 863047680 865075200 870239744 872284160 920584192 922746880 949352448 951582720 988908800 1004273664 1006632960 1015021568 1019812200 1046118400 1046740992 1078809600 1087799680 1090355200 1107296256 1150730240 1153433600 1186690560 1189478400 1255342080 1258291200 1265803264 1268776960 1305359616 1308426240 1339031552 1342177280 1359749600 1380876288 1384120320 1395654656 1438412800 1476395008 1483363200 1522532352 1569177600 1582254080 1585971200 1610612736 1631699520 1635532800 1673789440 1677721600 1726095360 1730150400 1740479488 1744568320 1841168384 1845493760 1898704896 1903165440 1977817600 2008547328 2013265920 2030043136 2039624400 2092236800 2093481984 2157619200 2175599360 2180710400 2214592512 2301460480 2306867200 2373381120 2378956800 2510684160 2516582400 2531606528 2537553920 2610719232 2616852480 2678063104 2684354560 2719499200 2761752576 2768240640 2791309312 2876825600 2952790016 2966726400 3045064704 3138355200 3164508160 3171942400 3263399040 3271065600 3347578880 3355443200 3452190720 3460300800 3480958976 3489136640 3682336768 3690987520 3797409792 3806330880 3955635200 4017094656 4026531840 4060086272 4079248800 4184473600 4186963968 4315238400 4351198720 4361420800 4429185024 4602920960 4613734400 4746762240 4757913600 5021368320 5033164800 5063213056 5075107840 5221438464 5233704960 5356126208 5438998400 5523505152 5536481280 5582618624 5753651200 5905580032 5933452800 6090129408 6276710400 6329016320 6343884800 6526798080 6542131200 6695157760 6710886400 6904381440 6920601600 6961917952 6978273280 7364673536 7381975040 7594819584 7612661760 7911270400 8034189312 8053063680 8120172544 8158497600 8368947200 8373927936 8630476800 8702397440 8722841600 8858370048 9205841920 9227468800 9493524480 9515827200 10042736640 10066329600 10126426112 10150215680 10442876928 10467409920 10712252416 10877996800 11047010304 11072962560 11165237248 11507302400 11866905600 12180258816 12553420800 12658032640 12687769600 13053596160 13084262400 13390315520 13421772800 13808762880 13841203200 13923835904 13956546560 14729347072 14763950080 15189639168 15225323520 15822540800 16068378624 16240345088 16316995200 16737894400 16747855872 17260953600 17404794880 17445683200 17716740096 18411683840 18454937600 18987048960 19031654400 20085473280 20132659200 20252852224 20300431360 20885753856 20934819840 21424504832 21755993600 22094020608 22145925120 22330474496 23014604800 23733811200 24360517632 25106841600 25316065280 25375539200 26107192320 26168524800 26780631040 27617525760 27682406400 27847671808 27913093120 29458694144 29527900160 30379278336 30450647040 31645081600 32136757248 32480690176 32633990400 33475788800 33495711744 34521907200 34809589760 34891366400 36823367680 36909875200 37974097920 38063308800 40170946560 40265318400 40505704448 40600862720 41771507712 41869639680 42849009664 43511987200 44188041216 44291850240 44660948992 46029209600 47467622400 48721035264 50213683200 50632130560 50751078400 52214384640 52337049600 53561262080 55235051520 55364812800 55695343616 55826186240 58917388288 60758556672 60901294080 63290163200 64273514496 64961380352 65267980800 66951577600 66991423488 69043814400 69619179520 69782732800 73646735360 73819750400 75948195840 76126617600 80341893120 81011408896 81201725440 83543015424 83739279360 85698019328 87023974400 88376082432 88583700480 89321897984 92058419200 94935244800 97442070528 100427366400 101264261120 101502156800 104428769280 104674099200 107122524160 110470103040 110729625600 111390687232 111652372480 117834776576 121517113344 121802588160 126580326400 128547028992 130535961600 133903155200 133982846976 138087628800 139238359040 139565465600 147293470720 147639500800 151896391680 152253235200 160683786240 162022817792 162403450880 167086030848 167478558720 171396038656 174047948800 176752164864 178643795968 184116838400 189870489600 194884141056 200854732800 202528522240 203004313600 208857538560 209348198400 214245048320 220940206080 221459251200 222781374464 223304744960 235669553152 243034226688 243605176320 253160652800 257094057984 261071923200 267806310400 267965693952 276175257600 278476718080 279130931200 294586941440 303792783360 304506470400 321367572480 324045635584 324806901760 334172061696 334957117440 342792077312 348095897600 353504329728 357287591936 368233676800 379740979200 401709465600 405057044480 406008627200 417715077120 418696396800 428490096640 441880412160 442918502400 445562748928 446609489920 471339106304 486068453376 487210352640 506321305600 514188115968 522143846400 535612620800 535931387904 552350515200 556953436160 558261862400 589173882880 607585566720 609012940800 642735144960 648091271168 668344123392 669914234880 685584154624 696191795200 707008659456 714575183872 736467353600 759481958400 803418931200 810114088960 812017254400 835430154240 837392793600 856980193280 883760824320 891125497856 893218979840 942678212608 972136906752 974420705280 1012642611200 1028376231936 1044287692800 1071225241600 1071862775808 1104701030400 1113906872320 1116523724800 1178347765760 1215171133440 1218025881600 1285470289920 1296182542336 1336688246784 1339828469760 1392383590400 1414017318912 1472934707200 1518963916800 1606837862400 1620228177920 1624034508800 1670860308480 1674785587200 1713960386560 1767521648640 1782250995712 1786437959680 1885356425216 1944273813504 2025285222400 2056752463872 2088575385600 2142450483200 2143725551616 2209402060800 2227813744640 2233047449600 2356695531520 2430342266880 2436051763200 2570940579840 2592365084672 2673376493568 2679656939520 2784767180800 2828034637824 2945869414400 3037927833600 3213675724800 3240456355840 3341720616960 3349571174400 3427920773120 3535043297280 3564501991424 3572875919360 3770712850432 3888547627008 4050570444800 4177150771200 4284900966400 4418804121600 4455627489280 4466094899200 4713391063040 4860684533760 4872103526400 5141881159680 5184730169344 5346752987136 5359313879040 5569534361600 5656069275648 5891738828800 6075855667200 6427351449600 6480912711680 6683441233920 6699142348800 7070086594560 7129003982848 7541425700864 7777095254016 8101140889600 8354301542400 8569801932800 8837608243200 8911254978560 8932189798400 9426782126080 9721369067520 10283762319360 10369460338688 10693505974272 10718627758080 11139068723200 11312138551296 11783477657600 12151711334400 12854702899200 12961825423360 13366882467840 13398284697600 14140173189120 14258007965696 15554190508032 16202281779200 16708603084800 17139603865600 17675216486400 17822509957120 17864379596800 18853564252160 19442738135040 20738920677376 21387011948544 22278137446400 22624277102592 23566955315200 24303422668800 25709405798400 25923650846720 26733764935680 26796569395200 28280346378240 28516015931392 31108381016064 32404563558400 33417206169600 35350432972800 35645019914240 37707128504320 38885476270080 41477841354752 42774023897088 44556274892800 47133910630400 48606845337600 51418811596800 51847301693440 53467529871360 53593138790400 56560692756480 57032031862784 62216762032128 64809127116800 66834412339200 70700865945600 71290039828480 77770952540160 82955682709504 85548047794176 89112549785600 94267821260800 97213690675200 103694603386880 106935059742720 113121385512960 114064063725568 124433524064256 129618254233600 133668824678400 141401731891200 142580079656960 155541905080320 171096095588352 178225099571200 188535642521600 194427381350400 207389206773760 213870119485440 228128127451136 248867048128512 259236508467200 267337649356800 282803463782400 285160159313920 311083810160640 342192191176704 356450199142400 388854762700800 414778413547520 427740238970880 456256254902272 518473016934400 534675298713600 565606927564800 570320318627840 622167620321280 684384382353408 712900398284800 777709525401600 855480477941760 912512509804544 1036946033868800 1069350597427200 1140640637255680 1244335240642560 1368768764706816 1425800796569600 1555419050803200 1710960955883520 2073892067737600 2138701194854400 2281281274511360 2737537529413632 2851601593139200 3110838101606400 3421921911767040 4277402389708800 4562562549022720 5703203186278400 6221676203212800 6843843823534080 8554804779417600 11406406372556800 13687687647068160 17109609558835200 22812812745113600 34219219117670400 68438438235340800
• Sum of all divisors σ(n): 249111332751403584
• Sum of proper divisors (its aliquot sum) s(n): 180672894516062784
• 68438438235340800 is an abundant number, because the sum of its proper divisors (180672894516062784) is greater than itself. Its abundance is 112234456280721984

Bases of 68438438235340800

• Binary: 11110011001001000110010110100000000000000000000000000000₂
• Hexadecimal: 0xF32465A0000000
• Base-36: IPVEGHL7L6O

Squares and roots of 68438438235340800

• 68438438235340800 squared (68438438235340800²) is 4683819828092557554726092144640000
• 68438438235340800 cubed (68438438235340800³) is 320553314010377063869718233198513978513293312000000
• The square root of 68438438235340800 is 261607412.4243057453
• The cube root of 68438438235340800 is 409040.8637489645

Scales and comparisons

• 68,438,438,235,340,800 seconds is equal to 2,176,130,641 years, 46 weeks, 3 days, 18 hours, 40 minutes.
• To count from 1 to 68,438,438,235,340,800 would take you about six billion, five hundred twenty-eight million, three hundred ninety-one thousand, nine hundred twenty-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 68438438235340800 cubic inches would be around 34086.7 feet tall.

Recreational maths with 68438438235340800

• 68438438235340800 backwards is 00804353283483486
• The number of decimal digits it has is: 17
• The sum of 68438438235340800's digits is 69
• More coming soon!