137483094939311363200

Names of 137483094939311363200

• Cardinal: 137483094939311363200 can be written as One hundred thirty-seven quintillion, four hundred eighty-three quadrillion, ninety-four trillion, nine hundred thirty-nine billion, three hundred eleven million, three hundred sixty-three thousand, two hundred.

Scientific notation

• Scientific notation: 1.374830949393113632 × 10²⁰

Factors of 137483094939311363200

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 273957900

Divisors of 137483094939311363200

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 47 50 56 64 70 80 94 100 112 128 140 160 175 179 188 200 224 235 280 320 329 350 358 376 400 448 470 560 640 658 700 716 752 800 895 896 940 1120 1175 1253 1316 1400 1432 1504 1600 1645 1790 1880 2240 2350 2506 2632 2663 2800 2864 3008 3200 3290 3580 3760 4475 4480 4700 5012 5264 5326 5600 5728 6016 6265 6580 7160 7520 8225 8413 8950 9400 10024 10528 10652 11200 11456 12530 13160 13315 14320 15040 16450 16826 17900 18641 18800 20048 21056 21304 22400 22912 25060 26320 26630 28640 30080 31325 32900 33652 35800 37282 37600 40096 42065 42112 42608 50120 52640 53260 57280 58891 62650 65800 66575 67304 71600 74564 75200 80192 84130 85216 93205 100240 105280 106520 114560 117782 125161 125300 131600 133150 134608 143200 149128 150400 160384 168260 170432 186410 200480 210325 210560 213040 235564 250322 250600 263200 266300 269216 286400 294455 298256 336520 340864 372820 400960 420650 426080 466025 471128 476677 500644 501200 526400 532600 538432 572800 588910 596512 625805 673040 745640 801920 841300 852160 876127 932050 942256 953354 1001288 1002400 1052800 1065200 1076864 1177820 1193024 1251610 1346080 1472275 1491280 1682600 1704320 1752254 1864100 1884512 1906708 2002576 2004800 2130400 2355640 2383385 2386048 2503220 2692160 2944550 2982560 3129025 3336739 3365200 3504508 3728200 3769024 3813416 4005152 4009600 4260800 4380635 4711280 4766770 5006440 5384320 5889100 5965120 6258050 6673478 6730400 7009016 7456400 7538048 7626832 8010304 8521600 8761270 9422560 9533540 10012880 11778200 11916925 11930240 12516100 13346956 13460800 14018032 14912800 15253664 16020608 16683695 17522540 18845120 19067080 20025760 21903175 22403819 23556400 23833850 25032200 26693912 26921600 28036064 29825600 30507328 33367390 35045080 37690240 38134160 40051520 43806350 44807638 47112800 47667700 50064400 53387824 56072128 59651200 61014656 66734780 70090160 76268320 80103040 83418475 87612700 89615276 94225600 95335400 100128800 106775648 112019095 112144256 133469560 140180320 152536640 156826733 166836950 175225400 179230552 188451200 190670800 200257600 213551296 224038190 266939120 273954997 280360640 305073280 313653466 333673900 350450800 358461104 381341600 400515200 427102592 448076380 533878240 547909994 560095475 560721280 627306932 667347800 700901600 716922208 762683200 784133665 896152760 1067756480 1095819988 1120190950 1254613864 1334695600 1369774985 1401803200 1433844416 1525366400 1568267330 1792305520 1917684979 2135512960 2191639976 2240381900 2509227728 2669391200 2739549970 2803606400 2867688832 3136534660 3584611040 3835369958 3920668325 4383279952 4480763800 5018455456 5338782400 5479099940 6273069320 6848874925 7169222080 7670739916 7841336650 8766559904 8961527600 9588424895 10036910912 10677564800 10958199880 12546138640 12875884859 13697749850 14338444160 15341479832 15682673300 17533119808 17923055200 19176849790 20073821824 21916399760 25092277280 25751769718 27395499700 30682959664 31365346600 35066239616 35846110400 38353699580 43832799520 47942124475 49037944463 50184554560 51503539436 54790999400 61365919328 62730693200 64379424295 71692220800 76707399160 87665599040 90131194013 95884248950 98075888926 100369109120 103007078872 109581998800 122731838656 125461386400 128758848590 153414798320 175331198080 180262388026 191768497900 196151777852 206014157744 219163997600 245189722315 245463677312 250922772800 257517697180 306829596640 321897121475 343265611241 360524776052 383536995800 392303555704 412028315488 438327995200 450655970065 490379444630 501845545600 515035394360 613659193280 643794242950 686531222482 721049552104 729542157011 767073991600 784607111408 824056630976 876655990400 901311940130 980758889260 1030070788720 1225948611575 1227318386560 1287588485900 1373062444964 1442099104208 1459084314022 1534147983200 1569214222816 1648113261952 1716328056205 1802623880260 1961517778520 2060141577440 2253279850325 2304783389761 2451897223150 2575176971800 2746124889928 2884198208416 2918168628044 3068295966400 3138428445632 3432656112410 3605247760520 3647710785055 3923035557040 4120283154880 4506559700650 4609566779522 4903794446300 5106795099077 5150353943600 5492249779856 5768396416832 5836337256088 6136591932800 6276856891264 6865312224820 7210495521040 7295421570110 7846071114080 8240566309760 8581640281025 9013119401300 9219133559044 9807588892600 10213590198154 10300707887200 10984499559712 11523916948805 11536792833664 11672674512176 13730624449640 14420991042080 14590843140220 15692142228160 16133483728327 17163280562050 18026238802600 18238553925275 18438267118088 19615177785200 20427180396308 20601415774400 21968999119424 23047833897610 23345349024352 25533975495385 27461248899280 28841982084160 29181686280440 31384284456320 32266967456654 34288481379517 34326561124100 36052477605200 36477107850550 36876534236176 39230355570400 40854360792616 41202831548800 43937998238848 46095667795220 46690698048704 51067950990770 54922497798560 57619584744025 57683964168320 58363372560880 64533934913308 68576962759034 68653122248200 72104955210400 72954215701100 73753068472352 78460711140800 80667418641635 81708721585232 92191335590440 93381396097408 102135901981540 109844995597120 115239169488050 116726745121760 127669877476925 129067869826616 130588046104969 137153925518068 137306244496400 144209910420800 145908431402200 147506136944704 156921422281600 161334837283270 163417443170464 171442406897585 184382671180880 204271803963080 219689991194240 230478338976100 233453490243520 240019369656619 255339754953850 258135739653232 261176092209938 274307851036136 274612488992800 288419820841600 291816862804400 295012273889408 322669674566540 326834886340928 342884813795170 368765342361760 403337093208175 408543607926160 460956677952200 466906980487040 480038739313238 510679509907700 516271479306464 522352184419876 548615702072272 549224977985600 583633725608800 645339349133080 652940230524845 653669772681856 685769627590340 737530684723520 806674186416350 817087215852320 857212034487925 914116322734783 921913355904400 960077478626476 1021359019815400 1032542958612928 1044704368839752 1097231404144544 1098449955971200 1167267451217600 1200096848283095 1290678698266160 1305880461049690 1371539255180680 1475061369447040 1613348372832700 1634174431704640 1714424068975850 1828232645469566 1843826711808800 1920154957252952 2042718039630800 2065085917225856 2089408737679504 2194462808289088 2334534902435200 2400193696566190 2581357396532320 2611760922099380 2743078510361360 3226696745665400 3264701152624225 3268348863409280 3428848137951700 3656465290939132 3687653423617600 3840309914505904 4085436079261600 4178817475359008 4388925616578176 4570581613673915 4800387393132380 5162714793064640 5223521844198760 5486157020722720 6000484241415475 6137638166933543 6453393491330800 6529402305248450 6857696275903400 7312930581878264 7375306847235200 7680619829011808 8170872158523200 8357634950718016 9141163227347830 9600774786264760 10325429586129280 10447043688397520 10972314041445440 12000968482830950 12275276333867086 12906786982661600 13058804610496900 13715392551806800 14625861163756528 15361239658023616 16341744317046400 16715269901436032 18282326454695660 19201549572529520 20894087376795040 21944628082890880 22852908068369575 24001936965661900 24550552667734172 25813573965323200 26117609220993800 27430785103613600 29251722327513056 30688190834667715 30722479316047232 36564652909391320 38403099145059040 41788174753590080 42963467168534801 45705816136739150 48003873931323800 49101105335468344 51627147930646400 52235218441987600 54861570207227200 58503444655026112 61376381669335430 73129305818782640 76806198290118080 83576349507180160 85926934337069602 91411632273478300 96007747862647600 98202210670936688 104470436883975200 109723140414454400 117006889310052224 122752763338670860 146258611637565280 153440954173338575 153612396580236160 171853868674139204 182823264546956600 192015495725295200 196404421341873376 208940873767950400 214817335842674005 245505526677341720 292517223275130560 306881908346677150 343707737348278408 365646529093913200 384030991450590400 392808842683746752 417881747535900800 429634671685348010 491011053354683440 585034446550261120 613763816693354300 687415474696556816 731293058187826400 768061982901180800 785617685367493504 859269343370696020 982022106709366880 1074086679213370025 1227527633386708600 1374830949393113632 1462586116375652800 1718538686741392040 1964044213418733760 2148173358426740050 2455055266773417200 2749661898786227264 2925172232751305600 3437077373482784080 3928088426837467520 4296346716853480100 4910110533546834400 5499323797572454528 6874154746965568160 8592693433706960200 9820221067093668800 13748309493931136320 17185386867413920400 19640442134187337600 27496618987862272640 34370773734827840800 68741547469655681600 137483094939311363200
• Sum of all divisors σ(n): 398766854233646899200
• Sum of proper divisors (its aliquot sum) s(n): 261283759294335536000
• 137483094939311363200 is an abundant number, because the sum of its proper divisors (261283759294335536000) is greater than itself. Its abundance is 123800664355024172800

Bases of 137483094939311363200

• Binary: 1110111001111110110000100100110111000111110111101010101010010000000₂
• Hexadecimal: 0x773F6126E3EF55480
• Base-36: T0J5LQH0YPTOG

Squares and roots of 137483094939311363200

• 137483094939311363200 squared (137483094939311363200²) is 18901601394091701766493318636642314240000
• 137483094939311363200 cubed (137483094939311363200³) is 2598650658968929450730063788586134345311916219577171968000000
• The square root of 137483094939311363200 is 11725318543.1915393741
• The cube root of 137483094939311363200 is 5161189.0442731731

Scales and comparisons

• 137,483,094,939,311,363,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,483,094,939,311,363,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137483094939311363200 cubic inches would be around 430099.1 feet tall.

Recreational maths with 137483094939311363200

• 137483094939311363200 backwards is 002363113939490384731
• The number of decimal digits it has is: 21
• The sum of 137483094939311363200's digits is 79
• More coming soon!