137840363385389973504
137,840,363,385,389,973,504 is an even composite number composed of four prime numbers multiplied together.
What does the number 137840363385389973504 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1620 divisors.
137840363385389973504 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 137840363385389973504:
217 × 38 × 7 × 3894
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 389 × 389 × 389 × 389)See below for interesting mathematical facts about the number 137840363385389973504 from the Numbermatics database.
Names of 137840363385389973504
- Cardinal: 137840363385389973504 can be written as One hundred thirty-seven quintillion, eight hundred forty quadrillion, three hundred sixty-three trillion, three hundred eighty-five billion, three hundred eighty-nine million, nine hundred seventy-three thousand, five hundred four.
Scientific notation
- Scientific notation: 1.37840363385389973504 × 1020
Factors of 137840363385389973504
Divisors of 137840363385389973504
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 256 288 324 336 378 384 389 432 448 486 504 512 567 576 648 672 729 756 768 778 864 896 972 1008 1024 1134 1152 1167 1296 1344 1458 1512 1536 1556 1701 1728 1792 1944 2016 2048 2187 2268 2304 2334 2592 2688 2723 2916 3024 3072 3112 3402 3456 3501 3584 3888 4032 4096 4374 4536 4608 4668 5103 5184 5376 5446 5832 6048 6144 6224 6561 6804 6912 7002 7168 7776 8064 8169 8192 8748 9072 9216 9336 10206 10368 10503 10752 10892 11664 12096 12288 12448 13122 13608 13824 14004 14336 15309 15552 16128 16338 16384 17496 18144 18432 18672 20412 20736 21006 21504 21784 23328 24192 24507 24576 24896 26244 27216 27648 28008 28672 30618 31104 31509 32256 32676 32768 34992 36288 36864 37344 40824 41472 42012 43008 43568 45927 46656 48384 49014 49152 49792 52488 54432 55296 56016 57344 61236 62208 63018 64512 65352 65536 69984 72576 73521 73728 74688 81648 82944 84024 86016 87136 91854 93312 94527 96768 98028 98304 99584 104976 108864 110592 112032 114688 122472 124416 126036 129024 130704 131072 139968 145152 147042 147456 149376 151321 163296 165888 168048 172032 174272 183708 186624 189054 193536 196056 196608 199168 209952 217728 220563 221184 224064 229376 244944 248832 252072 258048 261408 279936 283581 290304 294084 294912 298752 302642 326592 331776 336096 344064 348544 367416 373248 378108 387072 392112 393216 398336 419904 435456 441126 442368 448128 453963 458752 489888 497664 504144 516096 522816 559872 567162 580608 588168 589824 597504 605284 653184 661689 663552 672192 688128 697088 734832 746496 756216 774144 784224 796672 839808 850743 870912 882252 884736 896256 907926 917504 979776 995328 1008288 1032192 1045632 1059247 1119744 1134324 1161216 1176336 1179648 1195008 1210568 1306368 1323378 1327104 1344384 1361889 1376256 1394176 1469664 1492992 1512432 1548288 1568448 1593344 1679616 1701486 1741824 1764504 1769472 1792512 1815852 1959552 1985067 1990656 2016576 2064384 2091264 2118494 2239488 2268648 2322432 2352672 2390016 2421136 2552229 2612736 2646756 2654208 2688768 2723778 2752512 2788352 2939328 2985984 3024864 3096576 3136896 3177741 3186688 3359232 3402972 3483648 3529008 3538944 3585024 3631704 3919104 3970134 3981312 4033152 4085667 4128768 4182528 4236988 4478976 4537296 4644864 4705344 4780032 4842272 5104458 5225472 5293512 5308416 5377536 5447556 5576704 5878656 5955201 5971968 6049728 6193152 6273792 6355482 6373376 6718464 6805944 6967296 7058016 7170048 7263408 7838208 7940268 7962624 8066304 8171334 8257536 8365056 8473976 8957952 9074592 9289728 9410688 9533223 9560064 9684544 10208916 10450944 10587024 10616832 10755072 10895112 11153408 11757312 11910402 11943936 12099456 12257001 12386304 12547584 12710964 12746752 13436928 13611888 13934592 14116032 14340096 14526816 15676416 15880536 15925248 16132608 16342668 16730112 16947952 17865603 17915904 18149184 18579456 18821376 19066446 19120128 19369088 20417832 20901888 21174048 21510144 21790224 22306816 23514624 23820804 23887872 24198912 24514002 24772608 25095168 25421928 25493504 26873856 27223776 27869184 28232064 28599669 28680192 29053632 31352832 31761072 31850496 32265216 32685336 33460224 33895904 35731206 35831808 36298368 36771003 37158912 37642752 38132892 38240256 38738176 40835664 41803776 42348096 43020288 43580448 44613632 47029248 47641608 47775744 48397824 49028004 50190336 50843856 50987008 53747712 54447552 55738368 56464128 57199338 57360384 58107264 58863869 62705664 63522144 64530432 65370672 66920448 67791808 71462412 71663616 72596736 73542006 74317824 75285504 76265784 76480512 77476352 81671328 83607552 84696192 85799007 86040576 87160896 89227264 94058496 95283216 95551488 96795648 98056008 100380672 101687712 107495424 108895104 110313009 111476736 112928256 114398676 114720768 116214528 117727738 125411328 127044288 129060864 130741344 133840896 135583616 142924824 143327232 145193472 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4818272256 4881010176 4944564996 4958486528 5226964992 5295024432 5420556288 5491136448 5578297344 5650931424 6019743744 6098125824 6177528504 6194921472 6275584512 6357297852 6508013568 6592753328 6949719567 6969286656 7060032576 7227408384 7321515264 7416847494 7437729792 7534575232 7942536648 8130834432 8236704672 8367446016 8476397136 8677351424 9147188736 9266292756 9292382208 9413376768 9535946778 9636544512 9762020352 9889129992 9916973056 10453929984 10590048864 10841112576 10982272896 11125271241 11156594688 11301862848 12196251648 12355057008 12389842944 12551169024 12714595704 13016027136 13185506656 13899439134 13938573312 14120065152 14303920167 14454816768 14643030528 14833694988 14875459584 15069150464 15885073296 16261668864 16473409344 16734892032 16952794272 17354702848 18294377472 18532585512 18584764416 18826753536 19071893556 19524040704 19778259984 19833946112 20907859968 21180097728 21682225152 21964545792 22250542482 22313189376 22603725696 22898045041 24392503296 24710114016 25102338048 25429191408 26032054272 26371013312 27798878268 27877146624 28240130304 28607840334 28909633536 29286061056 29667389976 29750919168 30138300928 31770146592 32523337728 32946818688 33375813723 33469784064 33905588544 34709405696 36588754944 37065171024 37169528832 37653507072 38143787112 39048081408 39556519968 41815719936 42360195456 42911760501 43364450304 43929091584 44501084964 44626378752 45207451392 45796090082 48785006592 49420228032 50204676096 50858382816 52064108544 52742026624 55597756536 55754293248 56480260608 57215680668 58572122112 59334779952 59501838336 60276601856 63540293184 65046675456 65893637376 66751627446 66939568128 67811177088 68694135123 69418811392 73177509888 74130342048 75307014144 76287574224 78096162816 79113039936 83631439872 84720390912 85823521002 86728900608 87858183168 89002169928 89252757504 90414902784 91592180164 97570013184 98840456064 100127441169 100409352192 101716765632 104128217088 105484053248 111195513072 111508586496 112960521216 114431361336 117144244224 118669559904 120553203712 127080586368 128735281503 130093350912 131787274752 133503254892 133879136256 135622354176 137388270246 138837622784 146355019776 148260684096 150614028288 152575148448 156192325632 158226079872 160286315287 167262879744 169440781824 171647042004 175716366336 178004339856 178505515008 180829805568 183184360328 195140026368 197680912128 200254882338 200818704384 203433531264 206082405369 208256434176 210968106496 222391026144 225921042432 228862722672 234288488448 237339119808 241106407424 254161172736 257470563006 260186701824 263574549504 267006509784 267758272512 271244708352 274776540492 292710039552 296521368192 300382323507 301228056576 305150296896 312384651264 316452159744 320572630574 334525759488 338881563648 343294084008 351432732672 356008679712 361659611136 366368720656 386205844509 390280052736 395361824256 400509764676 401637408768 406867062528 412164810738 416512868352 421936212992 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316542574646784 328266373707776 346040436680064 350546171532669 351533142024192 356110396477632 364552888025088 369299670421248 375161569951744 395474784777216 400624196037336 410121999028224 415462129223904 422056766195712 455456821542912 461387248906752 467394895376892 468710856032256 474813861970176 486070517366784 492399560561664 527299713036288 534165594716448 546829332037632 553949505631872 562742354927616 600936294056004 615182998542336 623193193835856 624947808043008 633085149293568 656532747415552 692080873360128 701092343065338 703066284048384 712220792955264 729105776050176 738599340842496 750323139903488 790949569554432 801248392074672 820243998056448 830924258447808 844113532391424 910913643085824 922774497813504 934789790753784 937421712064512 949627723940352 984799121123328 1051638514598007 1054599426072576 1068331189432896 1093658664075264 1107899011263744 1125484709855232 1201872588112008 1230365997084672 1246386387671712 1266170298587136 1313065494831104 1384161746720256 1402184686130676 1406132568096768 1424441585910528 1458211552100352 1477198681684992 1500646279806976 1581899139108864 1602496784149344 1640487996112896 1661848516895616 1688227064782848 1845548995627008 1869579581507568 1874843424129024 1899255447880704 1969598242246656 2103277029196014 2109198852145152 2136662378865792 2187317328150528 2215798022527488 2250969419710464 2403745176224016 2460731994169344 2492772775343424 2532340597174272 2626130989662208 2768323493440512 2804369372261352 2812265136193536 2848883171821056 2954397363369984 3001292559613952 3163798278217728 3204993568298688 3280975992225792 3323697033791232 3376454129565696 3691097991254016 3739159163015136 3798510895761408 3939196484493312 4206554058392028 4218397704290304 4273324757731584 4374634656301056 4431596045054976 4501938839420928 4807490352448032 4921463988338688 4985545550686848 5064681194348544 5252261979324416 5536646986881024 5608738744522704 5624530272387072 5697766343642112 5908794726739968 6327596556435456 6409987136597376 6561951984451584 6647394067582464 6752908259131392 7382195982508032 7478318326030272 7597021791522816 7878392968986624 8413108116784056 8436795408580608 8546649515463168 8863192090109952 9003877678841856 9614980704896064 9842927976677376 9971091101373696 10129362388697088 10504523958648832 11073293973762048 11217477489045408 11395532687284224 11817589453479936 12655193112870912 12819974273194752 13123903968903168 13294788135164928 13505816518262784 14764391965016064 14956636652060544 15194043583045632 15756785937973248 16826216233568112 16873590817161216 17093299030926336 17726384180219904 19229961409792128 19685855953354752 19942182202747392 20258724777394176 21009047917297664 22146587947524096 22434954978090816 22791065374568448 23635178906959872 25310386225741824 25639948546389504 26589576270329856 27011633036525568 29528783930032128 29913273304121088 30388087166091264 31513571875946496 33652432467136224 34186598061852672 35452768360439808 38459922819584256 39371711906709504 39884364405494784 40517449554788352 44293175895048192 44869909956181632 45582130749136896 47270357813919744 50620772451483648 51279897092779008 53179152540659712 59057567860064256 59826546608242176 60776174332182528 63027143751892992 67304864934272448 68373196123705344 70905536720879616 76919845639168512 79768728810989568 81034899109576704 88586351790096384 89739819912363264 91164261498273792 94540715627839488 102559794185558016 106358305081319424 118115135720128512 119653093216484352 121552348664365056 134609729868544896 136746392247410688 141811073441759232 153839691278337024 159537457621979136 177172703580192768 179479639824726528 182328522996547584 189081431255678976 205119588371116032 212716610162638848 239306186432968704 243104697328730112 269219459737089792 273492784494821376 283622146883518464 307679382556674048 319074915243958272 354345407160385536 358959279649453056 364657045993095168 410239176742232064 425433220325277696 478612372865937408 538438919474179584 546985568989642752 567244293767036928 615358765113348096 638149830487916544 717918559298906112 729314091986190336 820478353484464128 850866440650555392 957224745731874816 1076877838948359168 1093971137979285504 1230717530226696192 1276299660975833088 1435837118597812224 1640956706968928256 1701732881301110784 1914449491463749632 2153755677896718336 2187942275958571008 2461435060453392384 2552599321951666176 2871674237195624448 3281913413937856512 3828898982927499264 4307511355793436672 4922870120906784768 5105198643903332352 5743348474391248896 6563826827875713024 7657797965854998528 8615022711586873344 9845740241813569536 11486696948782497792 15315595931709997056 17230045423173746688 19691480483627139072 22973393897564995584 34460090846347493376 45946787795129991168 68920181692694986752 137840363385389973504
- Sum of all divisors σ(n): 473787681741368578584
- Sum of proper divisors (its aliquot sum) s(n): 335947318355978605080
- 137840363385389973504 is an abundant number, because the sum of its proper divisors (335947318355978605080) is greater than itself. Its abundance is 198106954970588631576
Bases of 137840363385389973504
- Binary: 11101111000111010110101100000110000100000001110111000000000000000002
- Hexadecimal: 0x778EB583080EE0000
- Base-36: T38VETVCW0000
Squares and roots of 137840363385389973504
- 137840363385389973504 squared (1378403633853899735042) is 18999965778216356837228915581413822038016
- 137840363385389973504 cubed (1378403633853899735043) is 2618962187179316426824874139717498299641250869898357520728064
-
The
square root of 137840363385389973504 is 11740543572.8244701023 -
The
cube root of 137840363385389973504 is 5165655.8602564815
Scales and comparisons
How big is 137840363385389973504?- 137,840,363,385,389,973,504 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 137,840,363,385,389,973,504 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 137840363385389973504 cubic inches would be around 430471.3 feet tall.
Recreational maths with 137840363385389973504
- 137840363385389973504 backwards is 405379983583363048731
- The number of decimal digits it has is: 21
- The sum of 137840363385389973504's digits is 99
- More coming soon!
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The information we have on file for 137840363385389973504 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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