137136131218142922240
137,136,131,218,142,922,240 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137136131218142922240 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
137136131218142922240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137136131218142922240:
29 × 32 × 5 × 31 × 1447 × 4919 × 26975057
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 31 × 1447 × 4919 × 26975057)See below for interesting mathematical facts about the number 137136131218142922240 from the Numbermatics database.
Names of 137136131218142922240
- Cardinal: 137136131218142922240 can be written as One hundred thirty-seven quintillion, one hundred thirty-six quadrillion, one hundred thirty-one trillion, two hundred eighteen billion, one hundred forty-two million, nine hundred twenty-two thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3713613121814292224 × 1020
Factors of 137136131218142922240
Divisors of 137136131218142922240
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 64 72 80 90 93 96 120 124 128 144 155 160 180 186 192 240 248 256 279 288 310 320 360 372 384 465 480 496 512 558 576 620 640 720 744 768 930 960 992 1116 1152 1240 1280 1395 1440 1447 1488 1536 1860 1920 1984 2232 2304 2480 2560 2790 2880 2894 2976 3720 3840 3968 4341 4464 4608 4919 4960 5580 5760 5788 5952 7235 7440 7680 7936 8682 8928 9838 9920 11160 11520 11576 11904 13023 14470 14757 14880 15872 17364 17856 19676 19840 21705 22320 23040 23152 23808 24595 26046 28940 29514 29760 34728 35712 39352 39680 43410 44271 44640 44857 46304 47616 49190 52092 57880 59028 59520 65115 69456 71424 73785 78704 79360 86820 88542 89280 89714 92608 98380 104184 115760 118056 119040 130230 134571 138912 142848 147570 152489 157408 173640 177084 178560 179428 185216 196760 208368 221355 224285 231520 236112 238080 260460 269142 277824 295140 304978 314816 347280 354168 357120 358856 370432 393520 403713 416736 442710 448570 457467 463040 472224 520920 538284 555648 590280 609956 629632 672855 694560 708336 714240 717712 740864 762445 787040 807426 833472 885420 897140 914934 926080 944448 1041840 1076568 1111296 1180560 1219912 1259264 1345710 1372401 1389120 1416672 1435424 1524890 1574080 1614852 1666944 1770840 1794280 1829868 1852160 1888896 2018565 2083680 2153136 2222592 2287335 2361120 2439824 2518528 2691420 2744802 2778240 2833344 2870848 3049780 3148160 3229704 3333888 3541680 3588560 3659736 3704320 3777792 4037130 4167360 4306272 4574670 4722240 4879648 5382840 5489604 5556480 5666688 5741696 6099560 6296320 6459408 6667776 6862005 7083360 7117793 7177120 7319472 7555584 8074260 8334720 8612544 9149340 9444480 9759296 10765680 10979208 11112960 11333376 11483392 12199120 12592640 12918816 13724010 14166720 14235586 14354240 14638944 16148520 16669440 17225088 18298680 18888960 19518592 21353379 21531360 21958416 22666752 22966784 24398240 25837632 26975057 27448020 28333440 28471172 28708480 29277888 32297040 33338880 34450176 35588965 36597360 37777920 39037184 42706758 43062720 43916832 48796480 51675264 53950114 54896040 56666880 56942344 57416960 58555776 64060137 64594080 68900352 71177930 73194720 78074368 80925171 85413516 86125440 87833664 97592960 103350528 106766895 107900228 109792080 113333760 113884688 114833920 117111552 128120274 129188160 134875285 142355860 146389440 161850342 170827032 172250880 175667328 195185920 206701056 213533790 215800456 219584160 220651583 227769376 234223104 242775513 256240548 258376320 269750570 284711720 292778880 320300685 323700684 341654064 344501760 351334656 390371840 404625855 427067580 431600912 439168320 441303166 455538752 485551026 512481096 516752640 539501140 569423440 585557760 640601370 647401368 661954749 683308128 702669312 809251710 836226767 854135160 863201824 878336640 882606332 911077504 971102052 1024962192 1033505280 1079002280 1103257915 1138846880 1171115520 1213877565 1281202740 1294802736 1323909498 1366616256 1618503420 1672453534 1708270320 1726403648 1756673280 1765212664 1822155008 1942204104 1985864247 2049924384 2158004560 2206515830 2277693760 2427755130 2508680301 2562405480 2589605472 2647818996 2733232512 3237006840 3309773745 3344907068 3416540640 3452807296 3513346560 3530425328 3644310016 3884408208 3971728494 4099848768 4181133835 4316009120 4413031660 4555387520 4855510260 5017360602 5124810960 5179210944 5295637992 5466465024 6474013680 6619547490 6689814136 6833081280 6905614592 7060850656 7526040903 7768816416 7943456988 8199697536 8362267670 8632018240 8826063320 9110775040 9711020520 9929321235 10034721204 10249621920 10358421888 10591275984 10932930048 12543401505 12948027360 13239094980 13379628272 13666162560 13811229184 14121701312 15052081806 15537632832 15886913976 16399395072 16724535340 17264036480 17652126640 18221550080 19422041040 19858642470 20069442408 20499243840 20716843776 21182551968 25086803010 25896054720 26478189960 26759256544 27332325120 28243402624 30104163612 31075265664 31773827952 32798790144 33449070680 34528072960 35304253280 37630204515 38844082080 39032907479 39717284940 40138884816 40998487680 41433687552 42365103936 50173606020 51792109440 52956379920 53518513088 54664650240 56486805248 60208327224 62150531328 63547655904 66898141360 69056145920 70608506560 75260409030 77688164160 78065814958 79434569880 80277769632 81996975360 84730207872 100347212040 103584218880 105912759840 107037026176 112973610496 117098722437 120416654448 124301062656 127095311808 132690305383 133796282720 141217013120 150520818060 155376328320 156131629916 158869139760 160555539264 163993950720 169460415744 195164537395 200694424080 207168437760 211825519680 214074052352 234197444874 240833308896 254190623616 265380610766 267592565440 282434026240 301041636120 310752656640 312263259832 317738279520 321111078528 338920831488 351296167311 390329074790 398070916149 401388848160 423651039360 428148104704 468394889748 481666617792 508381247232 530761221532 535185130880 564868052480 585493612185 602083272240 621505313280 624526519664 635476559040 642222157056 663451526915 702592334622 780658149580 796141832298 802777696320 847302078720 936789779496 963333235584 1016762494464 1061522443064 1070370261760 1170987224370 1194212748447 1204166544480 1210020131849 1249053039328 1270953118080 1284444314112 1326903053830 1405184669244 1561316299160 1592283664596 1605555392640 1694604157440 1756480836555 1873579558992 1926666471168 1990354580745 2123044886128 2140740523520 2341974448740 2388425496894 2408333088960 2420040263698 2498106078656 2541906236160 2653806107660 2810369338488 3122632598320 3184567329192 3211110785280 3512961673110 3630060395547 3747159117984 3853332942336 3980709161490 4113399466873 4246089772256 4683948897480 4776850993788 4816666177920 4840080527396 4996212157312 5083812472320 5307612215320 5620738676976 5971063742235 6050100659245 6245265196640 6369134658384 6422221570560 7025923346220 7260120791094 7494318235968 7961418322980 8226798933746 8492179544512 9367897794960 9553701987576 9633332355840 9680161054792 9992424314624 10615224430640 10890181186641 11241477353952 11942127484470 12100201318490 12340198400619 12490530393280 12738269316768 14051846692440 14520241582188 14988636471936 15922836645960 16453597867492 16984359089024 18150301977735 18735795589920 19107403975152 19266664711680 19360322109584 19984848629248 20566997334365 21230448861280 21780362373282 22482954707904 23884254968940 24200402636980 24680396801238 24981060786560 25476538633536 28103693384880 29040483164376 29977272943872 31845673291920 32907195734984 33968718178048 36300603955470 37020595201857 37471591179840 38214807950304 38720644219168 41133994668730 42460897722560 43560724746564 44965909415808 47768509937880 48400805273960 49360793602476 49962121573120 50953077267072 54450905933205 56207386769760 58080966328752 59954545887744 61700992003095 63691346583840 65814391469968 67937436356096 72601207910940 74041190403714 74943182359680 76429615900608 77441288438336 82267989337460 84921795445120 87121449493128 89931818831616 95537019875760 96801610547920 98721587204952 99924243146240 101906154534144 108901811866410 112414773539520 116161932657504 123401984006190 127382693167680 131628782939936 145202415821880 148082380807428 149886364719360 152859231801216 154882576876672 164535978674920 169843590890240 174242898986256 179863637663232 185102976009285 191074039751520 192002871889201 193603221095840 197443174409904 203812309068288 217803623732820 224829547079040 232323865315008 246803968012380 254765386335360 263257565879872 290404831643760 296164761614856 299772729438720 305718463602432 309765153753344 329071957349840 339687181780480 348485797972512 370205952018570 382148079503040 384005743778402 387206442191680 394886348819808 435607247465640 449659094158080 464647730630016 493607936024760 509530772670720 526515131759744 576008615667603 580809663287520 592329523229712 611436927204864 619530307506688 658143914699680 696971595945024 740411904037140 764296159006080 768011487556804 774412884383360 789772697639616 871214494931280 899318188316160 929295461260032 960014359446005 987215872049520 1019061545341440 1053030263519488 1152017231335206 1161619326575040 1184659046459424 1316287829399360 1393943191890048 1480823808074280 1528592318012160 1536022975113608 1548825768766720 1579545395279232 1728025847002809 1742428989862560 1858590922520064 1920028718892010 1974431744099040 2106060527038976 2304034462670412 2323238653150080 2369318092918848 2632575658798720 2787886383780096 2880043078338015 2961647616148560 3057184636024320 3072045950227216 3097651537533440 3159090790558464 3456051694005618 3484857979725120 3840057437784020 3948863488198080 4608068925340824 4646477306300160 4738636185837696 5265151317597440 5575772767560192 5760086156676030 5923295232297120 5952089028565231 6144091900454432 6318181581116928 6912103388011236 6969715959450240 7680114875568040 7897726976396160 8640129235014045 9216137850681648 9292954612600320 9477272371675392 10530302635194880 11520172313352060 11846590464594240 11904178057130462 12288183800908864 13824206776022472 13939431918900480 15360229751136080 15795453952792320 17280258470028090 17856267085695693 18432275701363296 18954544743350784 23040344626704120 23693180929188480 23808356114260924 24576367601817728 27648413552044944 27878863837800960 29760445142826155 30720459502272160 31590907905584640 34560516940056180 35712534171391386 36864551402726592 46080689253408240 47386361858376960 47616712228521848 49152735203635456 53568801257087079 55296827104089888 59520890285652310 61440919004544320 69121033880112360 71425068342782772 73729102805453184 89281335428478465 92161378506816480 94772723716753920 95233424457043696 98305470407270912 107137602514174158 110593654208179776 119041780571304620 122881838009088640 138242067760224720 142850136685565544 147458205610906368 178562670856956930 184322757013632960 190466848914087392 214275205028348316 221187308416359552 238083561142609240 245763676018177280 267844006285435395 276484135520449440 285700273371131088 294916411221812736 357125341713913860 368645514027265920 380933697828174784 428550410056696632 442374616832719104 476167122285218480 491527352036354560 535688012570870790 552968271040898880 571400546742262176 714250683427827720 737291028054531840 761867395656349568 857100820113393264 884749233665438208 952334244570436960 1071376025141741580 1105936542081797760 1142801093484524352 1428501366855655440 1474582056109063680 1523734791312699136 1714201640226786528 1904668489140873920 2142752050283483160 2211873084163595520 2285602186969048704 2857002733711310880 3047469582625398272 3428403280453573056 3809336978281747840 4285504100566966320 4423746168327191040 4571204373938097408 5714005467422621760 6856806560907146112 7618673956563495680 8571008201133932640 9142408747876194816 11428010934845243520 13713613121814292224 15237347913126991360 17142016402267865280 22856021869690487040 27427226243628584448 34284032804535730560 45712043739380974080 68568065609071461120 137136131218142922240
- Sum of all divisors σ(n): 490700235599581962240
- Sum of proper divisors (its aliquot sum) s(n): 353564104381439040000
- 137136131218142922240 is an abundant number, because the sum of its proper divisors (353564104381439040000) is greater than itself. Its abundance is 216427973163296117760
Bases of 137136131218142922240
- Binary: 11101101111001001010110100011000011101110001100010000000110000000002
- Hexadecimal: 0x76F2568C3B8C40600
- Base-36: SXW99CZYSU4G0
Squares and roots of 137136131218142922240
- 137136131218142922240 squared (1371361312181429222402) is 18806318485479713769641241403406686617600
- 137136131218142922240 cubed (1371361312181429222403) is 2579025759554932896354700874048509818427553815519165415424000
-
The
square root of 137136131218142922240 is 11710513704.2805650883 -
The
cube root of 137136131218142922240 is 5156843.6520941147
Scales and comparisons
How big is 137136131218142922240?- 137,136,131,218,142,922,240 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,136,131,218,142,922,240 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 137136131218142922240 cubic inches would be around 429737 feet tall.
Recreational maths with 137136131218142922240
- 137136131218142922240 backwards is 042229241812131631731
- The number of decimal digits it has is: 21
- The sum of 137136131218142922240's digits is 63
- More coming soon!
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"Number 137136131218142922240 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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The information we have on file for 137136131218142922240 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 137136131218142922240, math, Factors of 137136131218142922240, curriculum, school, college, exams, university, Prime factorization of 137136131218142922240, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, one hundred thirty-six quadrillion, one hundred thirty-one trillion, two hundred eighteen billion, one hundred forty-two million, nine hundred twenty-two thousand, two hundred forty.