338990117148426240

Names of 338990117148426240

• Cardinal: 338990117148426240 can be written as Three hundred thirty-eight quadrillion, nine hundred ninety trillion, one hundred seventeen billion, one hundred forty-eight million, four hundred twenty-six thousand, two hundred forty.

Scientific notation

• Scientific notation: 3.3899011714842624 × 10¹⁷

Factors of 338990117148426240

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 30
• Sum of prime factors: 8026

Divisors of 338990117148426240

• Number of divisors d(n): 900
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 128 140 144 160 168 180 192 210 224 240 252 256 280 288 315 320 336 360 384 420 448 480 504 512 560 576 630 640 672 720 768 840 896 960 1008 1024 1120 1152 1260 1280 1344 1440 1536 1680 1792 1920 2016 2048 2240 2304 2520 2560 2688 2880 3072 3360 3584 3840 4032 4096 4480 4608 5040 5120 5376 5760 6144 6720 7168 7680 8009 8064 8192 8960 9216 10080 10240 10752 11520 12288 13440 14336 15360 16018 16128 16384 17920 18432 20160 20480 21504 23040 24027 24576 26880 28672 30720 32036 32256 32768 35840 36864 40045 40320 40960 43008 46080 48054 49152 53760 56063 57344 61440 64072 64512 65536 71680 72081 73728 80090 80640 81920 86016 92160 96108 98304 107520 112126 114688 120135 122880 128144 129024 131072 143360 144162 147456 160180 161280 163840 168189 172032 184320 192216 196608 215040 224252 229376 240270 245760 256288 258048 262144 280315 286720 288324 294912 320360 322560 327680 336378 344064 360405 368640 384432 393216 430080 448504 458752 480540 491520 504567 512576 516096 524288 560630 573440 576648 589824 640720 645120 655360 672756 688128 720810 737280 768864 786432 840945 860160 897008 917504 961080 983040 1009134 1025152 1032192 1048576 1121260 1146880 1153296 1179648 1281440 1290240 1310720 1345512 1376256 1441620 1474560 1537728 1572864 1681890 1720320 1794016 1835008 1922160 1966080 2018268 2050304 2064384 2097152 2242520 2293760 2306592 2359296 2522835 2562880 2580480 2621440 2691024 2752512 2883240 2949120 3075456 3145728 3363780 3440640 3588032 3670016 3844320 3932160 4036536 4100608 4128768 4194304 4485040 4587520 4613184 4718592 5045670 5125760 5160960 5242880 5382048 5505024 5766480 5898240 6150912 6291456 6727560 6881280 7176064 7340032 7688640 7864320 8073072 8201216 8257536 8388608 8970080 9175040 9226368 9437184 10091340 10251520 10321920 10485760 10764096 11010048 11532960 11796480 12301824 12582912 13455120 13762560 14352128 14680064 15377280 15728640 16146144 16402432 16515072 16777216 17940160 18350080 18452736 18874368 20182680 20503040 20643840 20971520 21528192 22020096 23065920 23592960 24603648 25165824 26910240 27525120 28704256 29360128 30754560 31457280 32292288 32804864 33030144 35880320 36700160 36905472 37748736 40365360 41006080 41287680 41943040 43056384 44040192 46131840 47185920 49207296 50331648 53820480 55050240 57408512 58720256 61509120 62914560 64144081 64584576 65609728 66060288 71760640 73400320 73810944 75497472 80730720 82012160 82575360 83886080 86112768 88080384 92263680 94371840 98414592 107640960 110100480 114817024 117440512 123018240 125829120 128288162 129169152 131219456 132120576 143521280 146800640 147621888 150994944 161461440 164024320 165150720 172225536 176160768 184527360 188743680 192432243 196829184 215281920 220200960 229634048 246036480 251658240 256576324 258338304 262438912 264241152 287042560 293601280 295243776 320720405 322922880 328048640 330301440 344451072 352321536 369054720 377487360 384864486 393658368 430563840 440401920 449008567 459268096 492072960 513152648 516676608 524877824 528482304 574085120 577296729 587202560 590487552 641440810 645845760 656097280 660602880 688902144 738109440 754974720 769728972 787316736 861127680 880803840 898017134 918536192 962161215 984145920 1026305296 1033353216 1049755648 1056964608 1148170240 1154593458 1180975104 1282881620 1291691520 1312194560 1321205760 1347025701 1377804288 1476218880 1539457944 1574633472 1722255360 1761607680 1796034268 1837072384 1924322430 1968291840 2052610592 2066706432 2099511296 2245042835 2296340480 2309186916 2361950208 2565763240 2583383040 2624389120 2642411520 2694051402 2755608576 2886483645 2952437760 3078915888 3149266944 3444510720 3592068536 3674144768 3848644860 3936583680 4041077103 4105221184 4133412864 4199022592 4490085670 4592680960 4618373832 4723900416 5131526480 5166766080 5248778240 5284823040 5388102804 5511217152 5772967290 5904875520 6157831776 6298533888 6735128505 6889021440 7184137072 7348289536 7697289720 7873167360 8082154206 8210442368 8266825728 8398045184 8980171340 9185361920 9236747664 9447800832 10263052960 10333532160 10497556480 10776205608 11022434304 11545934580 11809751040 12315663552 12597067776 13470257010 13778042880 14368274144 14696579072 15394579440 15746334720 16164308412 16420884736 16533651456 16796090368 17960342680 18370723840 18473495328 18895601664 20205385515 20526105920 20667064320 20995112960 21552411216 22044868608 23091869160 23619502080 24631327104 25194135552 26940514020 27556085760 28736548288 29393158144 30789158880 31492669440 32328616824 32841769472 33067302912 33592180736 35920685360 36741447680 36946990656 37791203328 40410771030 41052211840 41334128640 41990225920 43104822432 44089737216 46183738320 47239004160 49262654208 50388271104 53881028040 55112171520 57473096576 58786316288 61578317760 62985338880 64657233648 65683538944 66134605824 67184361472 71841370720 73482895360 73893981312 75582406656 80821542060 82104423680 82668257280 83980451840 86209644864 88179474432 92367476640 94478008320 98525308416 100776542208 107762056080 110224343040 114946193152 117572632576 123156635520 125970677760 129314467296 131367077888 132269211648 134368722944 143682741440 146965790720 147787962624 151164813312 161643084120 164208847360 165336514560 167960903680 172419289728 176358948864 184734953280 188956016640 197050616832 201553084416 215524112160 220448686080 229892386304 235145265152 246313271040 251941355520 258628934592 262734155776 264538423296 287365482880 293931581440 295575925248 302329626624 323286168240 328417694720 330673029120 335921807360 344838579456 352717897728 369469906560 377912033280 394101233664 403106168832 431048224320 440897372160 459784772608 470290530304 492626542080 503882711040 517257869184 525468311552 529076846592 574730965760 587863162880 591151850496 604659253248 646572336480 656835389440 661346058240 671843614720 689677158912 705435795456 738939813120 755824066560 788202467328 862096448640 881794744320 919569545216 940581060608 985253084160 1007765422080 1034515738368 1050936623104 1058153693184 1149461931520 1175726325760 1182303700992 1209318506496 1293144672960 1313670778880 1322692116480 1379354317824 1410871590912 1477879626240 1511648133120 1576404934656 1724192897280 1763589488640 1839139090432 1970506168320 2015530844160 2069031476736 2101873246208 2116307386368 2298923863040 2351452651520 2364607401984 2586289345920 2627341557760 2645384232960 2758708635648 2821743181824 2955759252480 3023296266240 3152809869312 3448385794560 3527178977280 3678278180864 3941012336640 4138062953472 4203746492416 4232614772736 4597847726080 4702905303040 4729214803968 5172578691840 5254683115520 5290768465920 5517417271296 5911518504960 6046592532480 6305619738624 6896771589120 7054357954560 7356556361728 7882024673280 8276125906944 8407492984832 8465229545472 9195695452160 9458429607936 10345157383680 10509366231040 10581536931840 11034834542592 11823037009920 12611239477248 13793543178240 14108715909120 14713112723456 15764049346560 16552251813888 16814985969664 18391390904320 18916859215872 20690314767360 21018732462080 21163073863680 22069669085184 23646074019840 25222478954496 27587086356480 29426225446912 31528098693120 33104503627776 33629971939328 36782781808640 37833718431744 41380629534720 42037464924160 42326147727360 44139338170368 47292148039680 50444957908992 55174172712960 58852450893824 63056197386240 66209007255552 67259943878656 73565563617280 75667436863488 82761259069440 84074929848320 88278676340736 94584296079360 100889915817984 110348345425920 117704901787648 126112394772480 132418014511104 134519887757312 147131127234560 151334873726976 165522518138880 168149859696640 176557352681472 189168592158720 201779831635968 220696690851840 235409803575296 252224789544960 264836029022208 269039775514624 294262254469120 302669747453952 331045036277760 336299719393280 353114705362944 378337184317440 403559663271936 441393381703680 470819607150592 504449579089920 529672058044416 538079551029248 588524508938240 605339494907904 662090072555520 672599438786560 706229410725888 756674368634880 807119326543872 882786763407360 941639214301184 1008899158179840 1059344116088832 1076159102058496 1177049017876480 1210678989815808 1324180145111040 1345198877573120 1412458821451776 1513348737269760 1614238653087744 1765573526814720 1883278428602368 2017798316359680 2118688232177664 2354098035752960 2421357979631616 2648360290222080 2690397755146240 2824917642903552 3026697474539520 3228477306175488 3531147053629440 3766556857204736 4035596632719360 4237376464355328 4708196071505920 4842715959263232 5296720580444160 5380795510292480 5649835285807104 6053394949079040 7062294107258880 7533113714409472 8071193265438720 8474752928710656 9416392143011840 9685431918526464 10593441160888320 11299670571614208 12106789898158080 14124588214517760 16142386530877440 16949505857421312 18832784286023680 21186882321776640 22599341143228416 24213579796316160 28249176429035520 33899011714842624 37665568572047360 42373764643553280 48427159592632320 56498352858071040 67798023429685248 84747529287106560 112996705716142080 169495058574213120 338990117148426240
• Sum of all divisors σ(n): 1343214232442297904
• Sum of proper divisors (its aliquot sum) s(n): 1004224115293871664
• 338990117148426240 is an abundant number, because the sum of its proper divisors (1004224115293871664) is greater than itself. Its abundance is 665233998145445424

Bases of 338990117148426240

• Binary: 10010110100010101011011011100101011000000000000000000000000₂
• Hexadecimal: 0x4B455B72B000000
• Base-36: 2KPTYTXWPVK0

Squares and roots of 338990117148426240

• 338990117148426240 squared (338990117148426240²) is 114914299524303745948970508720537600
• 338990117148426240 cubed (338990117148426240³) is 38954811857773068583405982409845485807175806746624000
• The square root of 338990117148426240 is 582228578.0931972081
• The cube root of 338990117148426240 is 697261.4890181609

Scales and comparisons

• 338,990,117,148,426,240 seconds is equal to 10,778,837,160 years, 2 weeks, 22 hours, 24 minutes.
• To count from 1 to 338,990,117,148,426,240 would take you about thirty-two billion, three hundred thirty-six million, five hundred eleven thousand, four hundred eighty 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 338990117148426240 cubic inches would be around 58105.1 feet tall.

Recreational maths with 338990117148426240

• 338990117148426240 backwards is 042624841711099833
• 338990117148426240 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 338990117148426240's digits is 72
• More coming soon!