137023901025657113216
137,023,901,025,657,113,216 is an even composite number composed of eight prime numbers multiplied together.
137023901025657113216 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 137023901025657113216:
27 × 7 × 17 × 29 × 37 × 61 × 223 × 616318177
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 17 × 29 × 37 × 61 × 223 × 616318177)See below for interesting mathematical facts about the number 137023901025657113216 from the Numbermatics database.
Names of 137023901025657113216
- Cardinal: 137023901025657113216 can be written as One hundred thirty-seven quintillion, twenty-three quadrillion, nine hundred one trillion, twenty-five billion, six hundred fifty-seven million, one hundred thirteen thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.37023901025657113216 × 1020
Factors of 137023901025657113216
Divisors of 137023901025657113216
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 29 32 34 37 56 58 61 64 68 74 112 116 119 122 128 136 148 203 223 224 232 238 244 259 272 296 406 427 446 448 464 476 488 493 518 544 592 629 812 854 892 896 928 952 976 986 1036 1037 1073 1088 1184 1258 1561 1624 1708 1769 1784 1856 1904 1952 1972 2072 2074 2146 2176 2257 2368 2516 3122 3248 3416 3451 3538 3568 3712 3791 3808 3904 3944 4144 4148 4292 4403 4514 4736 5032 6244 6467 6496 6832 6902 7076 7136 7259 7511 7582 7616 7808 7888 8251 8288 8296 8584 8806 9028 10064 12383 12488 12934 12992 13603 13664 13804 14152 14272 14518 15022 15164 15232 15776 15799 16502 16576 16592 17168 17612 18056 18241 20128 24766 24976 25868 25984 26537 27206 27328 27608 28304 28544 29036 30044 30073 30328 31552 31598 33004 33152 33184 34336 35224 36112 36482 38369 40256 45269 49532 49952 51736 53074 54412 54656 55216 56608 57757 58072 60088 60146 60656 63104 63196 65453 66008 66368 68672 70448 72224 72964 76738 80512 90538 95221 99064 99904 103472 106148 108824 109939 110432 113216 115514 116144 120176 120292 121312 126392 127687 130906 132016 132736 137344 140267 140896 144448 145928 153476 181076 190442 198128 199808 206944 210511 212296 217648 219878 220864 226432 231028 231251 232288 239279 240352 240584 242624 252784 255374 261812 264032 268583 280534 281792 288896 291856 306952 362152 380884 394487 396256 413888 421022 424592 435296 439756 441728 458171 462056 462502 464576 478558 480704 481168 485248 503311 505568 510748 523624 528064 537166 561068 563584 583712 613904 724304 761768 769573 788974 792512 827776 842044 849184 870592 879512 916342 924112 925004 929152 957116 961408 962336 981869 1006622 1011136 1021496 1047248 1056128 1074332 1112701 1122136 1167424 1227808 1448608 1523536 1539146 1577948 1585024 1618757 1674953 1684088 1698368 1741184 1759024 1832684 1848224 1850008 1914232 1924672 1963738 2013244 2022272 2042992 2094496 2148664 2225402 2244272 2334848 2455616 2761409 2897216 3047072 3078292 3155896 3237514 3349906 3368176 3396736 3518048 3523177 3665368 3696448 3700016 3828464 3849344 3927476 4026488 4067743 4085984 4188992 4297328 4450804 4488544 4911232 5522818 5794432 6094144 6156584 6311792 6475028 6699812 6706279 6736352 7036096 7046354 7330736 7392896 7400032 7656928 7788907 7854952 8052976 8135486 8171968 8377984 8556287 8594656 8901608 8977088 11045636 12188288 12313168 12623584 12950056 13399624 13412558 13472704 14072192 14092708 14596019 14661472 14800064 15313856 15577814 15709904 16105952 16270972 16343936 17112574 17189312 17803216 17954176 22091272 24626336 25247168 25900112 26799248 26825116 26945408 28185416 28474201 29192038 29322944 29600128 30627712 31155628 31419808 32211904 32541944 34225148 34378624 35606432 44182544 46943953 49252672 50494336 51800224 53598496 53650232 56370832 56948402 58384076 58645888 59894009 62311256 62839616 64423808 65083888 68450296 71212864 88365088 93887906 98505344 102172133 103600448 107196992 107300464 112741664 113896804 116768152 119788018 124622512 125679232 130167776 136900592 142425728 176730176 187775812 204344266 207200896 214393984 214600928 225483328 227793608 233536304 239576036 248132323 249245024 260335552 273801184 353460352 375551624 408688532 429201856 450966656 455587216 467072608 479152072 496264646 498490048 520671104 547602368 616318177 751103248 817377064 858403712 911174432 934145216 958304144 992529292 996980096 1095204736 1232636354 1502206496 1634754128 1736926261 1822348864 1868290432 1916608288 1985058584 2465272708 3004412992 3269508256 3473852522 3644697728 3833216576 3970117168 4314227239 4930545416 6008825984 6539016512 6947705044 7666433152 7940234336 8628454478 9861090832 10477409009 13078033024 13895410088 15880468672 17256908956 17873227133 19722181664 20954818018 22803772549 27790820176 31760937344 34513817912 35746454266 37595408797 39444363328 41909636036 45607545098 55581640352 69027635824 71492908532 73341863063 75190817594 78888726656 83819272072 91215090196 111163280704 125112589931 137438953471 138055271648 142985817064 146683726126 150381635188 159626407843 167638544144 182430180392 222326561408 250225179862 263167861579 274877906942 276110543296 285971634128 293367452252 300763270376 303844861261 319252815686 335277088288 364860360784 387664133333 500450359724 526335723158 549755813884 552221086592 571943268256 586734904504 601526540752 607689722522 638505631372 639121949549 661309403921 670554176576 729720721568 775328266666 962072674297 1000900719448 1052671446316 1090266855113 1099511627768 1143886536512 1173469809008 1203053081504 1215379445044 1277011262744 1278243899098 1322618807842 1341108353152 1391030125489 1459441443136 1550656533332 1924145348594 2001801438896 2105342892632 2126914028827 2180533710226 2199023255536 2287773073024 2336462209007 2346939618016 2406106163008 2430758890088 2554022525488 2556487798196 2645237615684 2713648933331 2782060250978 2918882886272 3101313066664 3848290697188 3985729650659 4003602877792 4210685785264 4253828057654 4361067420452 4398046511072 4473853646843 4629165827447 4672924418014 4693879236032 4812212326016 4861517780176 5085241278427 5108045050976 5112975596392 5290475231368 5427297866662 5564120501956 6202626133328 7631867985791 7696581394376 7971459301318 8007205755584 8383776161731 8421371570528 8507656115308 8722134840904 8796093022144 8947707293686 9258331654894 9345848836028 9387758472064 9723035560352 9737210878423 10170482556854 10216090101952 10225951192784 10580950462736 10854595733324 11128241003912 11242259866657 12405252266656 15263735971582 15393162788752 15942918602636 16014411511168 16355235463049 16767552323462 16842743141056 17015312230616 17444269681808 17592186044288 17895414587372 18516663309788 18534536536921 18691697672056 19446071120704 19474421756846 20340965113708 20432180203904 20451902385568 21161900925472 21709191466648 22256482007824 22484519733314 23647512133313 24810504533312 27900107554613 30527471943164 30786325577504 31885837205272 32710470926098 33535104646924 33685486282112 34030624461232 34888539363616 35596688948989 35790829174744 37033326619576 37069073073842 37383395344112 38892142241408 38948843513692 40339873639181 40681930227416 40903804771136 42323801850944 43418382933296 44512964015648 44969039466628 47295024266626 49621009066624 55800215109226 58686433132117 61054943886328 61572651155008 63771674410544 65420941852196 67070209293848 67757404061203 68061248922464 69777078727232 71193377897978 71581658349488 74066653239152 74138146147684 74766790688224 77897687027384 78695819066599 80679747278362 81363860454832 81807609542272 84647603701888 86449101733259 86836765866592 89025928031296 89938078933256 94590048533252 111600430218452 117372866264234 122109887772656 123145302310016 127543348821088 129741755758447 130841883704392 134140418587696 135514808122406 136122497844928 139554157454464 142386755795956 142524194749427 143163316698976 147471997074383 148133306478304 148276292295368 149533581376448 155795374054768 157391638133198 161359494556724 162727720909664 165532584933191 172898203466518 173673531733184 178051856062592 179876157866512 189180097066504 223200860436904 234745732528468 243129508690199 244219775545312 255086697642176 259483511516894 261683767408784 268280837175392 271029616244812 272244995689856 282379115474267 284773511591912 285048389498854 286326633397952 294943994148766 296266612956608 296552584590736 299067162752896 310199717984047 311590748109536 314783276266396 322718989113448 325455441819328 331065169866382 345796406933036 347347063466368 359752315733024 378360194133008 446401720873808 469491465056936 474301828428421 486259017380398 488439551090624 510173395284352 518967023033788 523367534817568 536561674350784 542059232489624 564758230948534 569547023183824 570096778997708 572653266795904 589887988297532 592533225913216 593105169181472 605143712132813 620399435968094 623181496219072 629566552532792 645437978226896 650910883638656 662130339732764 685777851866077 691592813866072 719504631466048 756720388266016 892803441747616 938982930113872 948603656856842 972518034760796 976879102181248 997669363245989 1032303979520681 1037934046067576 1046735069635136 1073123348701568 1084118464979248 1129516461897068 1139094046367648 1140193557995416 1179775976595064 1186210338362944 1210287424265626 1240798871936188 1246362992438144 1259133105065584 1290875956453792 1324260679465528 1371555703732154 1383185627732144 1439009262932096 1513440776532032 1701906560831393 1785606883495232 1877965860227744 1897207313713684 1945036069521592 1995338726491978 2064607959041362 2075868092135152 2093470139270272 2168236929958496 2171398025888329 2259032923794136 2278188092735296 2280387115990832 2359551953190128 2372420676725888 2420574848531252 2481597743872376 2507023950264511 2518266210131168 2581751912907584 2648521358931056 2743111407464308 2766371255464288 3026881553064064 3403813121662786 3571213766990464 3755931720455488 3794414627427368 3890072139043184 3990677452983956 4129215918082724 4133201647733383 4151736184270304 4336473859916992 4342796051776658 4518065847588272 4556376185470592 4560774231981664 4719103906380256 4800444963062539 4841149697062504 4963195487744752 5014047900529022 5036532420262336 5163503825815168 5273395205728799 5297042717862112 5486222814928616 5532742510928576 6807626243325572 7511863440910976 7588829254854736 7780144278086368 7981354905967912 8258431836165448 8266403295466766 8303472368540608 8672947719833984 8685592103553316 8995791821537363 9036131695176544 9121548463963328 9438207812760512 9600889926125078 9682299394125008 9926390975489504 10028095801058044 10073064840524672 10546790411457598 10594085435724224 10972445629857232 11065485021857152 13615252486651144 15177658509709472 15560288556172736 15962709811935824 16516863672330896 16532806590933532 16606944737081216 17371184207106632 17549167651851577 17991583643074726 18072263390353088 18243096927926656 18876415625521024 19201779852250156 19364598788250016 19852781950979008 20056191602116088 21093580822915196 21188170871448448 21944891259714464 27230504973302288 28932411534133681 30355317019418944 31120577112345472 31925419623871648 33033727344661792 33065613181867064 34742368414213264 35098335303703154 35983167286149452 36144526780706176 36913766440101593 38403559704500312 38729197576500032 39705563901958016 40112383204232176 42187161645830392 43889782519428928 54461009946604576 57864823068267362 60710634038837888 62970542750761541 63850839247743296 66067454689323584 66131226363734128 69484736828426528 70196670607406308 71966334572298904 73827532880203186 76807119409000624 77458395153000064 80224766408464352 84374323291660784 87779565038857856 108922019893209152 115729646136534724 125941085501523082 127701678495486592 132134909378647168 132262452727468256 138969473656853056 140393341214812616 143932669144597808 147655065760406372 152928460966135171 153614238818001248 160449532816928704 168748646583321568 217844039786418304 231459292273069448 251882171003046164 264524905454936512 277938947313706112 280786682429625232 287865338289195616 295310131520812744 305856921932270342 307228477636002496 320899065633857408 337497293166643136 462918584546138896 503764342006092328 529049810909873024 561573364859250464 575730676578391232 590620263041625488 611713843864540684 614456955272004992 674994586333286272 925837169092277792 1007528684012184656 1070499226762946197 1123146729718500928 1151461353156782464 1181240526083250976 1223427687729081368 1851674338184555584 2015057368024369312 2140998453525892394 2246293459437001856 2362481052166501952 2446855375458162736 3703348676369111168 4030114736048738624 4281996907051784788 4724962104333003904 4893710750916325472 8060229472097477248 8563993814103569576 9787421501832650944 17127987628207139152 19574843003665301888 34255975256414278304 68511950512828556608 137023901025657113216
- Sum of all divisors σ(n): 358304455736323891200
- Sum of proper divisors (its aliquot sum) s(n): 221280554710666777984
- 137023901025657113216 is an abundant number, because the sum of its proper divisors (221280554710666777984) is greater than itself. Its abundance is 84256653685009664768
Bases of 137023901025657113216
- Binary: 11101101101100101101010111111111111110001001001001101001010100000002
- Hexadecimal: 0x76D96AFFFC4934A80
- Base-36: SX1K72TAWHHFK
Squares and roots of 137023901025657113216
- 137023901025657113216 squared (1370239010256571132162) is 18775549452289076483168238690578641862656
- 137023901025657113216 cubed (1370239010256571132163) is 2572699029852789037401060530370948073762519147877682114461696
-
The
square root of 137023901025657113216 is 11705720867.4074025699 -
The
cube root of 137023901025657113216 is 5155436.5064996733
Scales and comparisons
How big is 137023901025657113216?- 137,023,901,025,657,113,216 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,023,901,025,657,113,216 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 137023901025657113216 cubic inches would be around 429619.7 feet tall.
Recreational maths with 137023901025657113216
- 137023901025657113216 backwards is 612311756520109320731
- The number of decimal digits it has is: 21
- The sum of 137023901025657113216's digits is 65
- More coming soon!
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"Number 137023901025657113216 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 137023901025657113216 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/137023901025657113216/
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The information we have on file for 137023901025657113216 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!
Keywords: Divisors of 137023901025657113216, math, Factors of 137023901025657113216, curriculum, school, college, exams, university, Prime factorization of 137023901025657113216, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, twenty-three quadrillion, nine hundred one trillion, twenty-five billion, six hundred fifty-seven million, one hundred thirteen thousand, two hundred sixteen.