137913954391756800

Names of 137913954391756800

• Cardinal: 137913954391756800 can be written as One hundred thirty-seven quadrillion, nine hundred thirteen trillion, nine hundred fifty-four billion, three hundred ninety-one million, seven hundred fifty-six thousand, eight hundred.

Scientific notation

• Scientific notation: 1.379139543917568 × 10¹⁷

Factors of 137913954391756800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 498525

Divisors of 137913954391756800

• Number of divisors d(n): 936
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 60 64 72 75 80 82 90 96 100 120 123 128 144 150 160 164 180 192 200 205 225 240 246 256 288 300 320 328 360 369 384 400 410 450 480 492 512 576 600 615 640 656 720 738 768 800 820 900 960 984 1024 1025 1152 1200 1230 1280 1312 1440 1476 1536 1600 1640 1800 1845 1920 1968 2048 2050 2304 2400 2460 2560 2624 2880 2952 3072 3075 3200 3280 3600 3690 3840 3936 4096 4100 4608 4800 4920 5120 5248 5760 5904 6144 6150 6400 6560 7200 7380 7433 7680 7872 8200 9216 9225 9600 9840 10240 10496 11520 11808 12288 12300 12800 13120 14400 14760 14866 15360 15744 16400 18432 18450 19200 19680 20480 20992 22299 23040 23616 24600 25600 26240 28800 29520 29732 30720 31488 32800 36864 36900 37165 38400 39360 41984 44598 46080 47232 49200 51200 52480 57600 59040 59464 61440 62976 65600 66897 73800 74330 76800 78720 83968 89196 92160 94464 98400 102400 104960 111495 115200 118080 118928 125952 131200 133794 147600 148660 153600 157440 167936 178392 184320 185825 188928 196800 209920 222990 230400 236160 237856 251904 262400 267588 295200 297320 304753 307200 314880 334485 356784 371650 377856 393600 419840 445980 460800 472320 475712 491041 503808 524800 535176 557475 590400 594640 609506 629760 668970 713568 743300 755712 787200 839680 891960 914259 921600 944640 951424 982082 1049600 1070352 1114950 1180800 1189280 1219012 1259520 1337940 1427136 1473123 1486600 1511424 1523765 1574400 1672425 1783920 1828518 1889280 1902848 1964164 2099200 2140704 2229900 2361600 2378560 2438024 2455205 2519040 2675880 2742777 2854272 2946246 2973200 3047530 3148800 3344850 3567840 3657036 3778560 3805696 3928328 4198400 4281408 4419369 4459800 4571295 4723200 4757120 4876048 4910410 5351760 5485554 5708544 5892492 5946400 6095060 6297600 6689700 7135680 7314072 7365615 7557120 7611392 7618825 7856656 8562816 8838738 8919600 9142590 9446400 9514240 9752096 9820820 10703520 10971108 11417088 11784984 11892800 12190120 12276025 12595200 13379400 13713885 14271360 14628144 14731230 15222784 15237650 15713312 17125632 17677476 17839200 18285180 18892800 19028480 19504192 19641640 20132681 21407040 21942216 22096845 22834176 22856475 23569968 23785600 24380240 24552050 26758800 27427770 28542720 29256288 29462460 30445568 30475300 31426624 34251264 35354952 35678400 36570360 36828075 37785600 38056960 39008384 39283280 40265362 42814080 43884432 44193690 45668352 45712950 47139936 47571200 48760480 49104100 53517600 54855540 57085440 58512576 58924920 60398043 60950600 62853248 68502528 68569425 70709904 71356800 73140720 73656150 76113920 78016768 78566560 80530724 85628160 87768864 88387380 91336704 91425900 94279872 95142400 97520960 98208200 100663405 107035200 109711080 110484225 114170880 117025152 117849840 120796086 121901200 125706496 137005056 137138850 141419808 142713600 146281440 147312300 152227840 156033536 157133120 161061448 171256320 175537728 176774760 181194129 182851800 188559744 190284800 195041920 196416400 201326810 214070400 219422160 220968450 228341760 234050304 235699680 241592172 243802400 251412992 274010112 274277700 282839616 285427200 292562880 294624600 301990215 312067072 314266240 322122896 342512640 351075456 353549520 362388258 365703600 377119488 380569600 390083840 392832800 402653620 428140800 438844320 441936900 456683520 468100608 471399360 483184344 487604800 502825984 503317025 548555400 565679232 570854400 585125760 589249200 603980430 624134144 628532480 644245792 685025280 702150912 707099040 724776516 731407200 754238976 761139200 780167680 785665600 805307240 856281600 877688640 883873800 905970645 936201216 942798720 966368688 975209600 1005651968 1006634050 1097110800 1131358464 1141708800 1170251520 1178498400 1207960860 1248268288 1257064960 1288491584 1370050560 1404301824 1414198080 1449553032 1462814400 1508477952 1509951075 1560335360 1571331200 1610614480 1712563200 1755377280 1767747600 1811941290 1872402432 1885597440 1932737376 1950419200 2011303936 2013268100 2194221600 2262716928 2283417600 2340503040 2356996800 2415921720 2514129920 2576983168 2808603648 2828396160 2899106064 2925628800 3016955904 3019902150 3120670720 3142662400 3221228960 3425126400 3510754560 3535495200 3623882580 3649907753 3744804864 3771194880 3865474752 3900838400 4026536200 4388443200 4525433856 4529853225 4681006080 4713993600 4831843440 5028259840 5153966336 5617207296 5656792320 5798212128 5851257600 6033911808 6039804300 6241341440 6285324800 6442457920 6850252800 7021509120 7070990400 7247765160 7299815506 7542389760 7730949504 7801676800 8053072400 8776886400 9050867712 9059706450 9362012160 9427987200 9663686880 10056519680 10307932672 10949723259 11234414592 11313584640 11596424256 11702515200 12079608600 12570649600 12884915840 14043018240 14141980800 14495530320 14599631012 15084779520 15461899008 15603353600 16106144800 17553772800 18101735424 18119412900 18249538765 18724024320 18855974400 19327373760 20615865344 21899446518 22627169280 23192848512 23405030400 24159217200 25141299200 25769831680 28086036480 28283961600 28991060640 29199262024 30169559040 30923798016 31206707200 32212289600 32849169777 35107545600 36238825800 36499077530 37711948800 38654747520 41231730688 43798893036 45254338560 46385697024 46810060800 48318434400 50282598400 51539663360 54748616295 56172072960 56567923200 57982121280 58398524048 61847596032 64424579200 65698339554 70215091200 72477651600 72998155060 75423897600 77309495040 82463461376 87597786072 90508677120 91247693825 92771394048 93620121600 96636868800 103079326720 109497232590 113135846400 115964242560 116797048096 123695192064 128849158400 131396679108 140430182400 144955303200 145996310120 149646217873 150847795200 154618990080 164245848885 175195572144 182495387650 185542788096 193273737600 206158653440 218994465180 226271692800 231928485120 233594096192 247390384128 257698316800 262793358216 273743081475 280860364800 289910606400 291992620240 299292435746 309237980160 328491697770 350391144288 364990775300 371085576192 386547475200 412317306880 437988930360 448938653619 452543385600 463856970240 467188192384 515396633600 525586716432 547486162950 579821212800 583985240480 598584871492 618475960320 656983395540 700782288576 729981550600 742171152384 748231089365 773094950400 821229244425 875977860720 897877307238 927713940480 934376384768 1030793267200 1051173432864 1094972325900 1159642425600 1167970480960 1197169742984 1236951920640 1313966791080 1346815960857 1401564577152 1459963101200 1496462178730 1546189900800 1642458488850 1751955721440 1795754614476 1855427880960 1868752769536 2061586534400 2102346865728 2189944651800 2244693268095 2319284851200 2335940961920 2394339485968 2627933582160 2693631921714 2803129154304 2919926202400 2992924357460 3092379801600 3284916977700 3503911442880 3591509228952 3710855761920 3737505539072 3741155446825 4204693731456 4379889303600 4489386536190 4638569702400 4671881923840 4788678971936 5255867164320 5387263843428 5606258308608 5839852404800 5985848714920 6184759603200 6569833955400 6734079804285 7007822885760 7183018457904 7475011078144 7482310893650 8409387462912 8759778607200 8978773072380 9277139404800 9343763847680 9577357943872 10511734328640 10774527686856 11212516617216 11223466340475 11679704809600 11971697429840 13139667910800 13468159608570 14015645771520 14366036915808 14950022156288 14964621787300 16818774925824 17519557214400 17957546144760 18554278809600 18687527695360 19154715887744 21023468657280 21549055373712 22425033234432 22446932680950 23359409619200 23943394859680 26279335821600 26936319217140 28031291543040 28732073831616 29929243574600 33637549851648 33670399021425 35039114428800 35915092289520 37375055390720 38309431775488 42046937314560 43098110747424 44850066468864 44893865361900 46718819238400 47886789719360 52558671643200 53872638434280 56062583086080 57464147663232 59858487149200 67275099703296 67340798042850 70078228857600 71830184579040 74750110781440 76618863550976 84093874629120 86196221494848 89787730723800 93437638476800 95773579438720 105117343286400 107745276868560 112125166172160 114928295326464 119716974298400 134550199406592 134681596085700 140156457715200 143660369158080 153237727101952 168187749258240 172392442989696 179575461447600 186875276953600 191547158877440 210234686572800 215490553737120 224250332344320 229856590652928 239433948596800 269363192171400 280312915430400 287320738316160 306475454203904 336375498516480 344784885979392 359150922895200 373750553907200 383094317754880 420469373145600 430981107474240 459713181305856 478867897193600 538726384342800 560625830860800 574641476632320 612950908407808 672750997032960 689569771958784 718301845790400 766188635509760 840938746291200 861962214948480 919426362611712 957735794387200 1077452768685600 1121251661721600 1149282953264640 1379139543917568 1436603691580800 1532377271019520 1681877492582400 1723924429896960 1838852725223424 1915471588774400 2154905537371200 2298565906529280 2758279087835136 2873207383161600 3064754542039040 3363754985164800 3447848859793920 3830943177548800 4309811074742400 4597131813058560 5516558175670272 5746414766323200 6895697719587840 7661886355097600 8619622149484800 9194263626117120 11492829532646400 13791395439175680 15323772710195200 17239244298969600 22985659065292800 27582790878351360 34478488597939200 45971318130585600 68956977195878400 137913954391756800
• Sum of all divisors σ(n): 506095480701713448
• Sum of proper divisors (its aliquot sum) s(n): 368181526309956648
• 137913954391756800 is an abundant number, because the sum of its proper divisors (368181526309956648) is greater than itself. Its abundance is 230267571918199848

Bases of 137913954391756800

• Binary: 111101001111110000000001011000101000101110001000000000000₂
• Hexadecimal: 0x1E9F802C5171000
• Base-36: 11PYEZZW2KG0

Squares and roots of 137913954391756800

• 137913954391756800 squared (137913954391756800²) is 19020258815971574742247790346240000
• 137913954391756800 cubed (137913954391756800³) is 2623159106865313953226736626396806586073874432000000
• The square root of 137913954391756800 is 371367680.8659536545
• The cube root of 137913954391756800 is 516657.4986731355

Scales and comparisons

• 137,913,954,391,756,800 seconds is equal to 4,385,237,153 years, 40 weeks, 6 days, 16 hours.
• To count from 1 to 137,913,954,391,756,800 would take you about thirteen billion, one hundred fifty-five million, seven hundred eleven thousand, four hundred sixty-one 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 137913954391756800 cubic inches would be around 43054.8 feet tall.

Recreational maths with 137913954391756800

• 137913954391756800 backwards is 008657193459319731
• The number of decimal digits it has is: 18
• The sum of 137913954391756800's digits is 81
• More coming soon!