30768918316646400

Names of 30768918316646400

• Cardinal: 30768918316646400 can be written as Thirty quadrillion, seven hundred sixty-eight trillion, nine hundred eighteen billion, three hundred sixteen million, six hundred forty-six thousand, four hundred.

Scientific notation

• Scientific notation: 3.07689183166464 × 10¹⁶

Factors of 30768918316646400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 4612

Divisors of 30768918316646400

• Number of divisors d(n): 1530
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 256 264 270 275 288 297 300 320 324 330 352 360 384 396 400 405 432 440 450 480 495 512 528 540 550 576 594 600 640 648 660 675 704 720 768 792 800 810 825 864 880 891 900 960 990 1024 1056 1080 1100 1152 1188 1200 1280 1296 1320 1350 1408 1440 1485 1536 1584 1600 1620 1650 1728 1760 1782 1800 1920 1980 2025 2048 2112 2160 2200 2304 2376 2400 2475 2560 2592 2640 2700 2816 2880 2970 3072 3168 3200 3240 3300 3456 3520 3564 3600 3840 3960 4050 4096 4224 4320 4400 4455 4591 4608 4752 4800 4950 5120 5184 5280 5400 5632 5760 5940 6144 6336 6400 6480 6600 6912 7040 7128 7200 7425 7680 7920 8100 8192 8448 8640 8800 8910 9182 9216 9504 9600 9900 10240 10368 10560 10800 11264 11520 11880 12288 12672 12800 12960 13200 13773 13824 14080 14256 14400 14850 15360 15840 16200 16384 16896 17280 17600 17820 18364 18432 19008 19200 19800 20480 20736 21120 21600 22275 22528 22955 23040 23760 24576 25344 25600 25920 26400 27546 27648 28160 28512 28800 29700 30720 31680 32400 32768 33792 34560 35200 35640 36728 36864 38016 38400 39600 40960 41319 41472 42240 43200 44550 45056 45910 46080 47520 49152 50501 50688 51200 51840 52800 55092 55296 56320 57024 57600 59400 61440 63360 64800 65536 67584 68865 69120 70400 71280 73456 73728 76032 76800 79200 81920 82638 82944 84480 86400 89100 90112 91820 92160 95040 98304 101002 101376 102400 103680 105600 110184 110592 112640 114048 114775 115200 118800 122880 123957 126720 129600 135168 137730 138240 140800 142560 146912 147456 151503 152064 153600 158400 163840 165276 165888 168960 172800 178200 180224 183640 184320 190080 196608 202004 202752 204800 206595 207360 211200 220368 221184 225280 228096 229550 230400 237600 245760 247914 252505 253440 259200 270336 275460 276480 281600 285120 293824 294912 303006 304128 307200 316800 327680 330552 331776 337920 344325 345600 356400 360448 367280 368640 371871 380160 404008 405504 409600 413190 414720 422400 440736 442368 450560 454509 456192 459100 460800 475200 491520 495828 505010 506880 518400 540672 550920 552960 563200 570240 587648 589824 606012 608256 614400 619785 633600 661104 663552 675840 688650 691200 712800 720896 734560 737280 743742 757515 760320 808016 811008 819200 826380 829440 844800 881472 884736 901120 909018 912384 918200 921600 950400 983040 991656 1010020 1013760 1032975 1036800 1081344 1101840 1105920 1126400 1140480 1175296 1212024 1216512 1228800 1239570 1262525 1267200 1322208 1327104 1351680 1363527 1377300 1382400 1425600 1469120 1474560 1487484 1515030 1520640 1616032 1622016 1638400 1652760 1658880 1689600 1762944 1769472 1802240 1818036 1824768 1836400 1843200 1859355 1900800 1983312 2020040 2027520 2065950 2073600 2162688 2203680 2211840 2252800 2272545 2280960 2350592 2424048 2433024 2457600 2479140 2525050 2534400 2644416 2654208 2703360 2727054 2754600 2764800 2851200 2938240 2949120 2974968 3030060 3041280 3098925 3232064 3244032 3305520 3317760 3379200 3525888 3604480 3636072 3649536 3672800 3686400 3718710 3787575 3801600 3966624 4040080 4055040 4090581 4131900 4147200 4407360 4423680 4505600 4545090 4561920 4701184 4848096 4866048 4915200 4958280 5050100 5068800 5288832 5308416 5406720 5454108 5509200 5529600 5702400 5876480 5949936 6060120 6082560 6197850 6464128 6488064 6611040 6635520 6758400 6817635 7051776 7272144 7299072 7345600 7372800 7437420 7575150 7603200 7933248 8080160 8110080 8181162 8263800 8294400 8814720 8847360 9011200 9090180 9123840 9296775 9402368 9696192 9732096 9916560 10100200 10137600 10577664 10813440 10908216 11018400 11059200 11362725 11404800 11752960 11899872 12120240 12165120 12395700 12928256 13222080 13271040 13516800 13635270 14103552 14544288 14598144 14691200 14745600 14874840 15150300 15206400 15866496 16160320 16220160 16362324 16527600 16588800 17629440 18022400 18180360 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3173299200 3272464800 3309633536 3372364960 3384852480 3414519522 3477751365 3490629120 3709601456 3723337728 3760947200 3793910580 3807959040 3878476800 4046837952 4061822976 4137041920 4173301638 4188754944 4215456200 4231065600 4363286400 4513136640 4552692696 4637001820 4654172160 4742388225 4759948800 4964450304 5058547440 5077278720 5171302400 5235943680 5395783936 5564402184 5585006592 5641420800 5690865870 5796252275 5817715200 6070256928 6092734464 6205562880 6259952457 6323184300 6346598400 6544929600 6744729920 6769704960 6829039044 6955502730 6981258240 7419202912 7446675456 7521894400 7587821160 7615918080 7756953600 8093675904 8123645952 8274083840 8346603276 8377509888 8430912400 8462131200 8536298805 8726572800 9105385392 9274003640 9308344320 9484776450 9519897600 9928900608 10117094880 10154557440 10342604800 10433254095 10471887360 10791567872 11128804368 11170013184 11282841600 11381731740 11592504550 11635430400 12140513856 12185468928 12411125760 12519904914 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46370018200 46541721600 48562055424 49644503040 50079619656 50585474400 50772787200 52166270475 52359436800 53957839360 54632312352 55644021840 55850065920 56908658700 59353623296 60702569280 60927344640 62055628800 62599524570 64749407232 66772826208 67020079104 67447299200 67697049600 68290390440 69555027300 69812582400 72843083136 74192029120 74466754560 75119429484 75878211600 76159180800 80936759040 82740838400 83466032760 83775098880 85362988050 86332542976 89030434944 89360105472 91053853920 92740036400 93083443200 93899286855 97124110848 100159239312 101170948800 101545574400 104332540950 104718873600 107915678720 109264624704 111288043680 111700131840 113817317400 118707246592 121405138560 121854689280 124111257600 125199049140 129498814464 133545652416 134040158208 134894598400 136580780880 139110054600 139625164800 145686166272 148384058240 148933509120 150238858968 151756423200 152318361600 156498811425 161873518080 166932065520 167550197760 170725976100 172665085952 178060869888 182107707840 185480072800 186166886400 187798573710 194248221696 200318478624 202341897600 203091148800 208665081900 209437747200 215831357440 218529249408 222576087360 223400263680 227634634800 237414493184 242810277120 248222515200 250398098280 258997628928 267091304832 268080316416 269789196800 273161561760 278220109200 279250329600 291372332544 296768116480 300477717936 303512846400 304636723200 312997622850 323747036160 333864131040 335100395520 341451952200 345330171904 356121739776 364215415680 370960145600 372333772800 375597147420 388496443392 400636957248 404683795200 417330163800 418875494400 431662714880 437058498816 445152174720 446800527360 455269269600 469496434275 474828986368 485620554240 500796196560 517995257856 534182609664 539578393600 546323123520 556440218400 558500659200 582744665088 593536232960 600955435872 607025692800 609273446400 625995245700 647494072320 667728262080 670200791040 682903904400 690660343808 712243479552 728430831360 741920291200 744667545600 751194294840 776992886784 801273914496 809367590400 834660327600 837750988800 863325429760 874116997632 890304349440 910538539200 938992868550 949657972736 971241108480 1001592393120 1035990515712 1068365219328 1079156787200 1092646247040 1112880436800 1117001318400 1165489330176 1187072465920 1201910871744 1214051385600 1251990491400 1294988144640 1335456524160 1340401582080 1365807808800 1381320687616 1424486959104 1456861662720 1483840582400 1502388589680 1553985773568 1602547828992 1618735180800 1669320655200 1675501977600 1726650859520 1748233995264 1780608698880 1821077078400 1877985737100 1899315945472 1942482216960 2003184786240 2071981031424 2136730438656 2158313574400 2185292494080 2225760873600 2234002636800 2330978660352 2374144931840 2403821743488 2428102771200 2503980982800 2589976289280 2670913048320 2731615617600 2848973918208 2913723325440 2967681164800 3004777179360 3107971547136 3205095657984 3237470361600 3338641310400 3351003955200 3453301719040 3496467990528 3561217397760 3642154156800 3755971474200 3798631890944 3884964433920 4006369572480 4143962062848 4273460877312 4316627148800 4370584988160 4451521747200 4661957320704 4748289863680 4807643486976 4856205542400 5007961965600 5179952578560 5341826096640 5463231235200 5697947836416 5827446650880 5935362329600 6009554358720 6215943094272 6410191315968 6474940723200 6677282620800 6702007910400 6906603438080 6992935981056 7122434795520 7284308313600 7511942948400 7597263781888 7769928867840 8012739144960 8546921754624 8633254297600 8741169976320 8903043494400 9323914641408 9496579727360 9615286973952 9712411084800 10015923931200 10359905157120 10683652193280 10926462470400 11395895672832 11654893301760 11870724659200 12019108717440 12431886188544 12820382631936 12949881446400 13354565241600 13985871962112 14244869591040 14568616627200 15023885896800 15194527563776 15539857735680 16025478289920 17093843509248 17266508595200 17482339952640 17806086988800 18647829282816 18993159454720 19230573947904 19424822169600 20031847862400 20719810314240 21367304386560 21852924940800 22791791345664 23309786603520 23741449318400 24038217434880 25640765263872 25899762892800 26709130483200 27971743924224 28489739182080 29137233254400 30047771793600 31079715471360 32050956579840 34187687018496 34533017190400 34964679905280 35612173977600 37295658565632 37986318909440 38461147895808 38849644339200 40063695724800 42734608773120 43705849881600 45583582691328 46619573207040 47482898636800 48076434869760 51281530527744 51799525785600 53418260966400 55943487848448 56979478364160 58274466508800 60095543587200 62159430942720 64101913159680 68375374036992 69929359810560 71224347955200 75972637818880 76922295791616 77699288678400 80127391449600 85469217546240 87411699763200 93239146414080 94965797273600 96152869739520 102563061055488 103599051571200 106836521932800 111886975696896 113958956728320 116548933017600 120191087174400 128203826319360 136750748073984 139858719621120 142448695910400 153844591583232 155398577356800 160254782899200 170938435092480 174823399526400 186478292828160 189931594547200 192305739479040 205126122110976 213673043865600 227917913456640 233097866035200 240382174348800 256407652638720 279717439242240 284897391820800 307689183166464 310797154713600 320509565798400 341876870184960 349646799052800 379863189094400 384611478958080 410252244221952 427346087731200 466195732070400 480764348697600 512815305277440 559434878484480 569794783641600 615378366332928 641019131596800 683753740369920 699293598105600 769222957916160 854692175462400 932391464140800 961528697395200 1025630610554880 1139589567283200 1230756732665856 1282038263193600 1398587196211200 1538445915832320 1709384350924800 1923057394790400 2051261221109760 2564076526387200 2797174392422400 3076891831664640 3418768701849600 3846114789580800 5128153052774400 6153783663329280 7692229579161600 10256306105548800 15384459158323200 30768918316646400
• Sum of all divisors σ(n): 124378156585346796
• Sum of proper divisors (its aliquot sum) s(n): 93609238268700396
• 30768918316646400 is an abundant number, because the sum of its proper divisors (93609238268700396) is greater than itself. Its abundance is 62840319952053996

Bases of 30768918316646400

• Binary: 1101101010100000010101100001110011000110000000000000000₂
• Hexadecimal: 0x6D502B0E630000
• Base-36: 8EYO5XRSW00

Squares and roots of 30768918316646400

• 30768918316646400 squared (30768918316646400²) is 946726334376458333455342632960000
• 30768918316646400 cubed (30768918316646400³) is 29129745250647313158005870174084142773305344000000
• The square root of 30768918316646400 is 175410713.2322493011
• The cube root of 30768918316646400 is 313355.5633528275

Scales and comparisons

• 30,768,918,316,646,400 seconds is equal to 978,356,427 years, 49 weeks, 5 days.
• To count from 1 to 30,768,918,316,646,400 would take you about two billion, nine hundred thirty-five million, sixty-nine thousand, two hundred eighty-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 30768918316646400 cubic inches would be around 26113 feet tall.

Recreational maths with 30768918316646400

• 30768918316646400 backwards is 00464661381986703
• 30768918316646400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 30768918316646400's digits is 72
• More coming soon!