137361027254166016
137,361,027,254,166,016 is an even composite number composed of five prime numbers multiplied together.
137361027254166016 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 137361027254166016:
29 × 74 × 173 × 192 × 2512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 17 × 17 × 17 × 19 × 19 × 251 × 251)See below for interesting mathematical facts about the number 137361027254166016 from the Numbermatics database.
Names of 137361027254166016
- Cardinal: 137361027254166016 can be written as One hundred thirty-seven quadrillion, three hundred sixty-one trillion, twenty-seven billion, two hundred fifty-four million, one hundred sixty-six thousand and sixteen.
Scientific notation
- Scientific notation: 1.37361027254166016 × 1017
Factors of 137361027254166016
Divisors of 137361027254166016
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 4 7 8 14 16 17 19 28 32 34 38 49 56 64 68 76 98 112 119 128 133 136 152 196 224 238 251 256 266 272 289 304 323 343 361 392 448 476 502 512 532 544 578 608 646 686 722 784 833 896 931 952 1004 1064 1088 1156 1216 1292 1372 1444 1568 1666 1757 1792 1862 1904 2008 2023 2128 2176 2261 2312 2401 2432 2527 2584 2744 2888 3136 3332 3514 3584 3724 3808 4016 4046 4256 4267 4352 4522 4624 4769 4802 4864 4913 5054 5168 5488 5491 5776 5831 6137 6272 6517 6664 7028 7448 7616 8032 8092 8512 8534 8704 9044 9248 9538 9604 9728 9826 10108 10336 10976 10982 11552 11662 12274 12299 12544 13034 13328 14056 14161 14896 15232 15827 16064 16184 17024 17068 17689 18088 18496 19076 19208 19652 20216 20672 21952 21964 23104 23324 24548 24598 25088 26068 26656 28112 28322 29792 29869 30464 31654 32128 32368 33383 34048 34136 34391 35378 36176 36992 38152 38416 38437 39304 40432 40817 41344 42959 43904 43928 45619 46208 46648 49096 49196 52136 53312 56224 56644 59584 59738 60928 63001 63308 64256 64736 66766 68096 68272 68782 70756 72352 72539 73984 76304 76832 76874 78608 80864 81073 81634 82688 85918 86093 87808 87856 90611 91238 92416 93296 93347 98192 98392 99127 104272 104329 106624 110789 112448 113288 119168 119476 123823 126002 126616 128512 129472 133532 136544 137564 141512 144704 145078 147968 152608 153664 153748 157216 161728 162146 163268 165376 171836 172186 175616 175712 181222 182476 184832 186592 186694 196384 196784 198254 208544 208658 209083 213248 221578 224896 226576 233681 238336 238952 240737 247646 252004 253232 258944 267064 269059 273088 275128 283024 289408 290156 300713 305216 307328 307496 314432 323456 324292 326536 343672 344372 351424 362444 364952 373184 373388 392768 393568 396508 417088 417316 418166 426496 441007 443156 449792 453152 467362 476672 477904 481474 495292 504008 506464 507773 517888 534128 538118 546176 550256 566048 567511 578816 580312 601426 602651 610432 614656 614992 628864 634277 646912 648584 653072 653429 687344 688744 693889 702848 724888 729904 730303 746368 746776 775523 785536 787136 793016 834176 834632 836332 866761 882014 886312 899584 906304 934724 955808 962948 990584 1008016 1012928 1015546 1035776 1068256 1071017 1076236 1092352 1100512 1132096 1135022 1157632 1160624 1197019 1202852 1205302 1220864 1229312 1229984 1233163 1257728 1268554 1293824 1297168 1306144 1306858 1374688 1377488 1378241 1387778 1405696 1449776 1459808 1460606 1463581 1492736 1493552 1540387 1551046 1571072 1574272 1586032 1635767 1668352 1669264 1672664 1685159 1733522 1764028 1772624 1773593 1812608 1869448 1883413 1911616 1925896 1981168 2016032 2025856 2031092 2104991 2136512 2142034 2152472 2184704 2201024 2264192 2270044 2321248 2394038 2405704 2410604 2441728 2459968 2466326 2515456 2537108 2594336 2612288 2613716 2749376 2754976 2756482 2775556 2811392 2899552 2919616 2921212 2927162 2985472 2987104 3080774 3087049 3102092 3142144 3148544 3172064 3271534 3336704 3338528 3345328 3370318 3467044 3528056 3545248 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49292384 49392784 49633472 49660604 49761754 50753024 52344544 52373158 52479833 52735564 53416448 53525248 53925088 55472704 55616078 56448896 56723968 56754976 56870576 58653931 58939748 59822336 59976952 60269216 60424987 61628672 62159146 63397376 63561232 64036042 64994944 67033064 67359712 67533809 68545088 68879104 69057128 71039024 71569694 72641408 72829156 73184048 75478963 76609216 76982528 77139328 77181496 78922432 81187456 81397292 81793936 81960536 83638912 86261672 86437372 86906057 88207424 88817792 90973444 91602952 93478784 93669184 93720388 94368904 98584768 98785568 99266944 99321208 99523508 104689088 104746316 104959666 105471128 107050496 107850176 110945408 111232156 112897792 113509952 113741152 117307862 117879496 119644672 119953904 120538432 120849974 123257344 124318292 127122464 127451023 128072084 129989888 134066128 134719424 135067618 137090176 137758208 138114256 142078048 142445261 143139388 145282816 145658312 146368096 150957926 151265401 153218432 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7734398336 7800972823 7956370688 7976934616 8015805728 8036523271 8156865472 8196613376 8453643856 8516793586 8644327552 8666669564 8915397512 8981996597 9116496704 9160920832 9184598024 9322131968 9661307264 9680985664 9686277748 9733478384 9904765216 10189025728 10265138968 10286047268 10418853376 10496683456 10825839836 11063983616 11070031712 11123975296 11146632896 11496170476 11644600832 11731587392 11755482592 11761908694 11843297452 11996209664 12372388384 12458001472 12464811604 12490200254 12739009024 13138480544 13145662658 13236626564 13407528448 13434837248 13535197088 13923648704 13959635578 14237715968 14245498976 14274514576 14344073408 14793876748 15015406336 15127573216 15166671737 15468796672 15601945646 15912741376 15953869232 16031611456 16073046542 16313730944 16393226752 16907287712 16950986059 17033587172 17288655104 17333339128 17830795024 17963993194 18232993408 18321841664 18369196048 18945219713 19322614528 19361971328 19372555496 19466956768 19809530432 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56981995904 57098058304 57376293632 59175506992 60510292864 60666686948 62407782584 62873976179 63815476928 64126445824 64292186168 65254923776 67629150848 67803944236 68134348688 69333356512 71323180096 71855972776 72931973632 73476784192 75780878852 77447885312 77490221984 77867827072 79238121728 81512205824 82121111744 82288378144 82333360858 83973467648 86606718688 87253681228 87431401778 88560253696 89173063168 91969363808 92019638606 93852699136 94043860736 94095269552 94746379616 97717449046 98979107072 99664011776 99718492832 99921602032 105107844352 105165301264 105893012512 106166702159 108281576704 109213619522 111389189632 111677084624 111738132593 112511325794 113963991808 114196116608 114752587264 118351013984 118656902413 121020585728 121333373896 124815565168 125747952358 127630953856 128252891648 128584372336 132616537991 135258301696 135607888472 136268697376 138666713024 142646360192 143711945552 146953568384 151561757704 152693942149 154980443968 155735654144 158476243456 164242223488 164576756288 164666721716 173213437376 174507362456 174862803556 177120507392 183938727616 184039277212 188087721472 188190539104 189492759232 195434898092 197958214144 199436985664 199843204064 210215688704 210330602528 211786025024 212333404318 216563153408 218427239044 223354169248 223476265186 225022651588 227927983616 228392233216 236702027968 237313804826 242041171456 242666747792 249631130336 251495904716 255261907712 257168744672 265233075982 270516603392 271215776944 272537394752 277333426048 285292720384 287423891104 288166763003 293907136768 303123515408 305387884298 309960887936 311471308288 322068735121 328484446976 329153512576 329333443432 346426874752 349014724912 349725607112 367877455232 368078554424 376381078208 378985518464 390869796184 398873971328 399686408128 420661205056 423572050048 424666808636 436854478088 446708338496 446952530372 450045303176 456784466432 473404055936 474627609652 485333495584 499262260672 502991809432 510523815424 514337489344 530466151964 542431553888 545074789504 554666852096 570585440768 574847782208 576333526006 587814273536 606247030816 610775768596 619921775872 644137470242 656968893952 658307025152 658666886864 692853749504 698029449824 699451214224 735754910464 736157108848 743166915113 752762156416 757971036928 781739592368 782166928151 797747942656 799372816256 830598316891 841322410112 847144100096 849333617272 873708956176 893416676992 893905060744 900090606352 928315765937 946808111872 949255219304 970666991168 998524521344 1005983618864 1028674978688 1060932303928 1068857595043 1084863107776 1090149579008 1109333704192 1149695564416 1152667052012 1212494061632 1221551537192 1239843551744 1288274940484 1316614050304 1317333773728 1385707499008 1396058899648 1398902428448 1471509820928 1472314217696 1486333830226 1505524312832 1515942073856 1563479184736 1564333856302 1595495885312 1598745632512 1661196633782 1682644820224 1694288200192 1698667234544 1747417912352 1786833353984 1787810121488 1800181212704 1856631531874 1893616223744 1898510438608 1941333982336 1997049042688 2011967237728 2017167341021 2057349957376 2121864607856 2137715190086 2169726215552 2180299158016 2254481145847 2299391128832 2305334104024 2424988123264 2443103074384 2576549880968 2634667547456 2792117799296 2797804856896 2944628435392 2972667660452 3011048625664 3126958369472 3128667712604 3197491265024 3322393267564 3365289640448 3397334469088 3494835824704 3573666707968 3575620242976 3600362425408 3713263063748 3797020877216 3882667964672 3994098085376 4023934475456 4034334682042 4114699914752 4243729215712 4275430380172 4339452431104 4508962291694 4598782257664 4610668208048 4849976246528 4886206148768 5153099761936 5269335094912 5475168497057 5584235598592 5595609713792 5889256870784 5945335320904 6253916738944 6257335425208 6644786535128 6794668938176 6989671649408 7151240485952 7200724850816 7426526127496 7594041754432 7765335929344 8047868950912 8068669364084 8487458431424 8550860760344 8678904862208 9017924583388 9221336416096 9699952493056 9772412297536 10306199523872 10538670189824 10950336994114 11168471197184 11191219427584 11778513741568 11890670641808 12507833477888 12514670850416 13289573070256 13589337876352 13979343298816 14120171387147 14302480971904 14401449701632 14853052254992 15188083508864 15781368020929 16095737901824 16137338728168 16974916862848 17101721520688 18035849166776 18442672832192 19544824595072 20612399047744 21077340379648 21900673988228 22382438855168 23557027483136 23781341283616 25015666955776 25029341700832 26579146140512 27178675752704 27958686597632 28240342774294 28604961943808 28802899403264 29706104509984 30376167017728 31562736041858 32191475803648 32274677456336 33949833725696 34203443041376 36071698333552 36885345664384 38326179479399 39089649190144 41224798095488 43801347976456 47562682567232 50058683401664 53158292281024 54357351505408 56480685548588 57209923887616 59412209019968 60752334035456 63125472083716 64549354912672 67899667451392 68406886082752 72143396667104 73770691328768 76652358958798 78179298380288 82449596190976 87602695952912 95125365134464 100117366803328 106316584562048 112961371097176 118824418039936 126250944167432 129098709825344 136813772165504 144286793334208 147541382657536 153304717917596 164899192381952 175205391905824 190250730268928 200234733606656 212633169124096 225922742194352 237648836079872 252501888334864 258197419650688 268283256355793 273627544331008 288573586668416 306609435835192 350410783811648 380501460537856 400469467213312 425266338248192 451845484388704 475297672159744 505003776669728 516394839301376 536566512711586 547255088662016 577147173336832 613218871670384 700821567623296 903690968777408 1010007553339456 1032789678602752 1073133025423172 1154294346673664 1226437743340768 1401643135246592 1807381937554816 2020015106678912 2146266050846344 2452875486681536 2803286270493184 3614763875109632 4040030213357824 4292532101692688 4905750973363072 7229527750219264 8080060426715648 8585064203385376 9811501946726144 17170128406770752 19623003893452288 34340256813541504 68680513627083008 137361027254166016
- Sum of all divisors σ(n): 360466865038607580
- Sum of proper divisors (its aliquot sum) s(n): 223105837784441564
- 137361027254166016 is an abundant number, because the sum of its proper divisors (223105837784441564) is greater than itself. Its abundance is 85744810530275548
Bases of 137361027254166016
- Binary: 1111010000000000100100000011000110111011110100010000000002
- Hexadecimal: 0x1E801206377A200
- Base-36: 11KIF4RYI70G
Squares and roots of 137361027254166016
- 137361027254166016 squared (1373610272541660162) is 18868051808319739037117227689312256
- 137361027254166016 cubed (1373610272541660163) is 2591734978675624056312637240020530294604293887492096
-
The
square root of 137361027254166016 is 370622486.1691017473 -
The
cube root of 137361027254166016 is 515966.1096541687
Scales and comparisons
How big is 137361027254166016?- 137,361,027,254,166,016 seconds is equal to 4,367,655,781 years, 6 weeks, 4 days, 15 hours, 16 seconds.
-
To count from 1 to 137,361,027,254,166,016 would take you about thirteen billion, one hundred two million, nine hundred sixty-seven thousand, three hundred forty-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 137361027254166016 cubic inches would be around 42997.2 feet tall.
Recreational maths with 137361027254166016
- 137361027254166016 backwards is 610661452720163731
- The number of decimal digits it has is: 18
- The sum of 137361027254166016's digits is 61
- More coming soon!
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"Number 137361027254166016 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 137361027254166016 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/137361027254166016/
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Numbermatics. 2024. "Number 137361027254166016 - Facts about the integer". https://numbermatics.com/n/137361027254166016/
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