168201341808516000

Names of 168201341808516000

• Cardinal: 168201341808516000 can be written as One hundred sixty-eight quadrillion, two hundred one trillion, three hundred forty-one billion, eight hundred eight million, five hundred sixteen thousand.

Scientific notation

• Scientific notation: 1.68201341808516 × 10¹⁷

Factors of 168201341808516000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 9520

Divisors of 168201341808516000

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 233 240 250 288 300 360 375 400 450 466 480 500 600 699 720 750 800 900 932 1000 1125 1165 1200 1398 1440 1500 1800 1864 2000 2097 2250 2330 2400 2796 3000 3495 3600 3728 4000 4194 4500 4660 5592 5825 6000 6990 7200 7456 8388 9000 9277 9320 10485 11184 11650 12000 13980 16776 17475 18000 18554 18640 20970 22368 23300 27831 27960 29125 33552 34950 36000 37108 37280 41940 46385 46600 52425 54289 55662 55920 58250 67104 69900 74216 83493 83880 87375 92770 93200 104850 108578 111324 111840 116500 139155 139800 148432 162867 166986 167760 174750 185540 186400 209700 217156 222648 231925 233000 262125 271445 278310 279600 296864 325734 333972 335520 349500 371080 417465 419400 434312 445296 463850 466000 488601 524250 542890 556620 559200 651468 667944 695775 699000 742160 814335 834930 838800 868624 890592 927700 932000 977202 1048500 1085780 1113240 1159625 1302936 1335888 1357225 1391550 1398000 1484320 1628670 1669860 1677600 1737248 1855400 1954404 2087325 2097000 2161541 2171560 2226480 2319250 2443005 2605872 2671776 2714450 2783100 2796000 3257340 3339720 3478875 3710800 3908808 4071675 4174650 4194000 4323082 4343120 4452960 4638500 4886010 5211744 5428900 5566200 6484623 6514680 6679440 6786125 6957750 7421600 7817616 8143350 8349300 8388000 8646164 8686240 9277000 9772020 10436625 10807705 10857800 11132400 12215025 12969246 13029360 13358880 13572250 13915500 15635232 16286700 16698600 17292328 18554000 19453869 19544040 20358375 20873250 21615410 21715600 22264800 24430050 25938492 26058720 27144500 27831000 32423115 32573400 33397200 34584656 37108000 38907738 39088080 40716750 41746500 43230820 43431200 48860100 51876984 54038525 54289000 55662000 61075125 64846230 65146800 66794400 69169312 77815476 78176160 81433500 83493000 86062729 86461640 97269345 97720200 103753968 108077050 108578000 111324000 122150250 129692460 130293600 155630952 162115575 162867000 166986000 172125458 172923280 194538690 195440400 207507936 216154100 217156000 244300500 258188187 259384920 270192625 311261904 324231150 325734000 333972000 344250916 345846560 389077380 390880800 430313645 432308200 486346725 488601000 503639053 516376374 518769840 540385250 622523808 648462300 651468000 688501832 774564561 778154760 810577875 860627290 864616400 972693450 977202000 1007278106 1032752748 1037539680 1080770500 1290940935 1296924600 1377003664 1510917159 1549129122 1556309520 1621155750 1721254580 1729232800 1945386900 1954404000 2014556212 2065505496 2151568225 2161541000 2431733625 2518195265 2581881870 2593849200 2754007328 3021834318 3098258244 3112619040 3242311500 3442509160 3872822805 3890773800 4029112424 4131010992 4303136450 4323082000 4532751477 4863467250 5036390530 5163763740 5187698400 6043668636 6196516488 6454704675 6484623000 6885018320 7554585795 7745645610 7781547600 8058224848 8262021984 8606272900 8646164000 9065502954 9726934500 10072781060 10327527480 10757841125 12087337272 12393032976 12590976325 12909409350 12969246000 13770036640 15109171590 15491291220 15563095200 16116449696 17212545800 18131005908 19364114025 19453869000 20052615857 20145562120 20655054960 21515682250 22663757385 24174674544 24786065952 25181952650 25818818700 25938492000 30218343180 30982582440 32273523375 34425091600 36262011816 37772928975 38728228050 38907738000 40105231714 40291124240 41310109920 43031364500 45327514770 48349349088 50363905300 51637637400 60157847571 60436686360 61965164880 62954881625 64547046750 68850183200 72524023632 75545857950 77456456100 77815476000 80210463428 80582248480 86062729000 90655029540 96820570125 100263079285 100727810600 103275274800 113318786925 120315695142 120873372720 123930329760 125909763250 129094093500 145048047264 151091715900 154912912200 160420926856 172125458000 180473542713 181310059080 188864644875 193641140250 200526158570 201455621200 206550549600 226637573850 240631390284 241746745440 251819526500 258188187000 300789237855 302183431800 309825824400 320841853712 344250916000 360947085426 362620118160 377729289750 387282280500 401052317140 402911242400 453275147700 481262780568 501315396425 503639053000 516376374000 566593934625 601578475710 604366863600 619651648800 641683707424 721894170852 725240236320 755458579500 774564561000 802104634280 902367713565 906550295400 962525561136 1002630792850 1007278106000 1032752748000 1133187869250 1203156951420 1208733727200 1443788341704 1503946189275 1510917159000 1549129122000 1604209268560 1804735427130 1813100590800 1925051122272 2005261585700 2014556212000 2266375738500 2406313902840 2506576982125 2887576683408 3007892378550 3021834318000 3098258244000 3208418537120 3609470854260 3626201181600 4010523171400 4511838567825 4532751477000 4672259494681 4812627805680 5013153964250 5775153366816 6015784757100 6043668636000 7218941708520 7519730946375 8021046342800 9023677135650 9065502954000 9344518989362 9625255611360 10026307928500 12031569514200 14016778484043 14437883417040 15039461892750 16042092685600 18047354271300 18131005908000 18689037978724 20052615857000 22559192839125 23361297473405 24063139028400 28033556968086 28875766834080 30078923785500 36094708542600 37378075957448 40105231714000 42050335452129 45118385678250 46722594946810 48126278056800 56067113936172 60157847571000 70083892420215 72189417085200 74756151914896 80210463428000 84100670904258 90236771356500 93445189893620 112134227872344 116806487367025 120315695142000 140167784840430 144378834170400 149512303829792 168201341808516 180473542713000 186890379787240 210251677260645 224268455744688 233612974734050 240631390284000 280335569680860 336402683617032 350419462101075 360947085426000 373780759574480 420503354521290 448536911489376 467225949468100 560671139361720 584032436835125 672805367234064 700838924202150 721894170852000 747561519148960 841006709042580 934451898936200 1051258386303225 1121342278723440 1168064873670250 1345610734468128 1401677848404300 1682013418085160 1752097310505375 1868903797872400 2102516772606450 2242684557446880 2336129747340500 2803355696808600 3364026836170320 3504194621010750 3737807595744800 4205033545212900 4672259494681000 5256291931516125 5606711393617200 6728053672340640 7008389242021500 8410067090425800 9344518989362000 10512583863032250 11213422787234400 14016778484043000 16820134180851600 18689037978724000 21025167726064500 28033556968086000 33640268361703200 42050335452129000 56067113936172000 84100670904258000 168201341808516000
• Sum of all divisors σ(n): 599584191467720004
• Sum of proper divisors (its aliquot sum) s(n): 431382849659204004
• 168201341808516000 is an abundant number, because the sum of its proper divisors (431382849659204004) is greater than itself. Its abundance is 263181507850688004

Bases of 168201341808516000

• Binary: 1001010101100100100011101010101101001111011001101110100000₂
• Hexadecimal: 0x255923AAD3D9BA0
• Base-36: 1A06EDOYU940

Squares and roots of 168201341808516000

• 168201341808516000 squared (168201341808516000²) is 28291691386185232493610122256000000
• 168201341808516000 cubed (168201341808516000³) is 4758700453188790132614935929436826901932096000000000
• The square root of 168201341808516000 is 410123568.9502811297
• The cube root of 168201341808516000 is 552005.1785384137

Scales and comparisons

• 168,201,341,808,516,000 seconds is equal to 5,348,282,388 years, 31 weeks, 1 day, 10 hours.
• To count from 1 to 168,201,341,808,516,000 would take you about sixteen billion, forty-four million, eight hundred forty-seven thousand, one hundred sixty-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 168201341808516000 cubic inches would be around 46000.4 feet tall.

Recreational maths with 168201341808516000

• 168201341808516000 backwards is 000615808143102861
• The number of decimal digits it has is: 18
• The sum of 168201341808516000's digits is 54
• More coming soon!