137013910183084032
137,013,910,183,084,032 is an even composite number composed of four prime numbers multiplied together.
What does the number 137013910183084032 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 828 divisors.
137013910183084032 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred twenty-eight divisors.
Prime factorization of 137013910183084032:
222 × 32 × 73 × 32532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 3253 × 3253)See below for interesting mathematical facts about the number 137013910183084032 from the Numbermatics database.
Names of 137013910183084032
- Cardinal: 137013910183084032 can be written as One hundred thirty-seven quadrillion, thirteen trillion, nine hundred ten billion, one hundred eighty-three million, eighty-four thousand and thirty-two.
Scientific notation
- Scientific notation: 1.37013910183084032 × 1017
Factors of 137013910183084032
Divisors of 137013910183084032
- Number of divisors d(n): 828
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 343 384 392 441 448 504 512 576 588 672 686 768 784 882 896 1008 1024 1029 1152 1176 1344 1372 1536 1568 1764 1792 2016 2048 2058 2304 2352 2688 2744 3072 3087 3136 3253 3528 3584 4032 4096 4116 4608 4704 5376 5488 6144 6174 6272 6506 7056 7168 8064 8192 8232 9216 9408 9759 10752 10976 12288 12348 12544 13012 14112 14336 16128 16384 16464 18432 18816 19518 21504 21952 22771 24576 24696 25088 26024 28224 28672 29277 32256 32768 32928 36864 37632 39036 43008 43904 45542 49152 49392 50176 52048 56448 57344 58554 64512 65536 65856 68313 73728 75264 78072 86016 87808 91084 98304 98784 100352 104096 112896 114688 117108 129024 131072 131712 136626 147456 150528 156144 159397 172032 175616 182168 196608 197568 200704 204939 208192 225792 229376 234216 258048 262144 263424 273252 294912 301056 312288 318794 344064 351232 364336 393216 395136 401408 409878 416384 451584 458752 468432 478191 516096 524288 526848 546504 589824 602112 624576 637588 688128 702464 728672 786432 790272 802816 819756 832768 903168 917504 936864 956382 1032192 1048576 1053696 1093008 1115779 1179648 1204224 1249152 1275176 1376256 1404928 1434573 1457344 1572864 1580544 1605632 1639512 1665536 1806336 1835008 1873728 1912764 2064384 2097152 2107392 2186016 2231558 2359296 2408448 2498304 2550352 2752512 2809856 2869146 2914688 3145728 3161088 3211264 3279024 3331072 3347337 3612672 3670016 3747456 3825528 4128768 4194304 4214784 4372032 4463116 4718592 4816896 4996608 5100704 5505024 5619712 5738292 5829376 6291456 6322176 6422528 6558048 6662144 6694674 7225344 7340032 7494912 7651056 8257536 8429568 8744064 8926232 9437184 9633792 9993216 10042011 10201408 10582009 11010048 11239424 11476584 11658752 12582912 12644352 12845056 13116096 13324288 13389348 14450688 14680064 14989824 15302112 16515072 16859136 17488128 17852464 18874368 19267584 19986432 20084022 20402816 21164018 22020096 22478848 22953168 23317504 25288704 25690112 26232192 26648576 26778696 28901376 29360128 29979648 30604224 31746027 33030144 33718272 34976256 35704928 37748736 38535168 39972864 40168044 40805632 42328036 44040192 44957696 45906336 46635008 50577408 51380224 52464384 53297152 53557392 57802752 59959296 61208448 63492054 66060288 67436544 69952512 71409856 74074063 77070336 79945728 80336088 81611264 84656072 88080384 89915392 91812672 93270016 95238081 101154816 102760448 104928768 106594304 107114784 115605504 119918592 122416896 126984108 132120576 134873088 139905024 142819712 148148126 154140672 159891456 160672176 163222528 169312144 179830784 183625344 186540032 190476162 202309632 205520896 209857536 213188608 214229568 222222189 231211008 239837184 244833792 253968216 264241152 269746176 279810048 285639424 296296252 308281344 319782912 321344352 326445056 338624288 359661568 367250688 373080064 380952324 404619264 419715072 426377216 428459136 444444378 462422016 479674368 489667584 507936432 518518441 539492352 559620096 571278848 592592504 616562688 639565824 642688704 652890112 666666567 677248576 719323136 734501376 746160128 761904648 809238528 839430144 852754432 856918272 888888756 924844032 959348736 979335168 1015872864 1037036882 1078984704 1119240192 1142557696 1185185008 1279131648 1285377408 1305780224 1333333134 1354497152 1438646272 1469002752 1492320256 1523809296 1555555323 1618477056 1678860288 1705508864 1713836544 1777777512 1849688064 1918697472 1958670336 2031745728 2074073764 2157969408 2238480384 2285115392 2370370016 2558263296 2570754816 2611560448 2666666268 2708994304 2938005504 2984640512 3047618592 3111110646 3236954112 3357720576 3411017728 3427673088 3555555024 3629629087 3837394944 3917340672 4063491456 4148147528 4315938816 4476960768 4570230784 4666665969 4740740032 5116526592 5141509632 5223120896 5333332536 5417988608 5876011008 5969281024 6095237184 6222221292 6473908224 6715441152 6822035456 6855346176 7111110048 7259258174 7674789888 7834681344 8126982912 8296295056 8953921536 9140461568 9333331938 9481480064 10233053184 10283019264 10446241792 10666665072 10835977216 10888887261 11752022016 11938562048 12190474368 12444442584 12947816448 13430882304 13644070912 13710692352 14222220096 14518516348 15349579776 15669362688 16253965824 16592590112 17907843072 18280923136 18666663876 18962960128 20466106368 20566038528 20892483584 21333330144 21671954432 21777774522 23504044032 23877124096 24380948736 24888885168 26861764608 27421384704 28444440192 29037032696 30699159552 31338725376 32507931648 32666661783 33185180224 35815686144 36561846272 37333327752 37925920256 40932212736 41132077056 41784967168 42666660288 43343908864 43555549044 47008088064 47754248192 48761897472 49777770336 53723529216 54842769408 56888880384 58074065392 61398319104 62677450752 65015863296 65333323566 66370360448 71631372288 73123692544 74666655504 75851840512 82264154112 83569934336 85333320576 86687817728 87111098088 94016176128 95508496384 97523794944 99555540672 107447058432 109685538816 113777760768 116148130784 122796638208 125354901504 130031726592 130666647132 132740720896 143262744576 146247385088 149333311008 151703681024 164528308224 167139868672 170666641152 173375635456 174222196176 188032352256 195047589888 199111081344 214894116864 219371077632 227555521536 232296261568 250709803008 260063453184 261333294264 265481441792 286525489152 292494770176 298666622016 303407362048 329056616448 334279737344 341333282304 346751270912 348444392352 376064704512 390095179776 398222162688 429788233728 438742155264 455111043072 464592523136 501419606016 520126906368 522666588528 530962883584 584989540352 597333244032 606814724096 658113232896 668559474688 682666564608 693502541824 696888784704 752129409024 780190359552 796444325376 859576467456 877484310528 910222086144 929185046272 1002839212032 1040253812736 1045333177056 1061925767168 1169979080704 1194666488064 1213629448192 1316226465792 1365333129216 1387005083648 1393777569408 1504258818048 1560380719104 1592888650752 1754968621056 1820444172288 1858370092544 2005678424064 2080507625472 2090666354112 2123851534336 2339958161408 2389332976128 2427258896384 2632452931584 2730666258432 2774010167296 2787555138816 3008517636096 3120761438208 3185777301504 3509937242112 3640888344576 3716740185088 4161015250944 4181332708224 4247703068672 4679916322816 4778665952256 4854517792768 5264905863168 5461332516864 5548020334592 5575110277632 6017035272192 6241522876416 6371554603008 7019874484224 7281776689152 7433480370176 8322030501888 8362665416448 8495406137344 9557331904512 9709035585536 10529811726336 10922665033728 11096040669184 11150220555264 12483045752832 12743109206016 14039748968448 14563553378304 14866960740352 16644061003776 16725330832896 16990812274688 19114663809024 19418071171072 21059623452672 21845330067456 22192081338368 22300441110528 24966091505664 25486218412032 29127106756608 29733921480704 33288122007552 33450661665792 33981624549376 38229327618048 38836142342144 42119246905344 43690660134912 44384162676736 44600882221056 49932183011328 50972436824064 58254213513216 59467842961408 66576244015104 66901323331584 67963249098752 76458655236096 77672284684288 87381320269824 89201764442112 99864366022656 101944873648128 116508427026432 118935685922816 133152488030208 133802646663168 135926498197504 152917310472192 155344569368576 174762640539648 178403528884224 199728732045312 203889747296256 233016854052864 237871371845632 267605293326336 271852996395008 305834620944384 310689138737152 349525281079296 356807057768448 399457464090624 407779494592512 466033708105728 475742743691264 535210586652672 543705992790016 611669241888768 699050562158592 713614115536896 815558989185024 932067416211456 951485487382528 1070421173305344 1087411985580032 1223338483777536 1398101124317184 1427228231073792 1631117978370048 1902970974765056 2140842346610688 2174823971160064 2446676967555072 2796202248634368 2854456462147584 3262235956740096 3805941949530112 4281684693221376 4893353935110144 5708912924295168 6524471913480192 7611883899060224 8563369386442752 9786707870220288 11417825848590336 15223767798120448 17126738772885504 19573415740440576 22835651697180672 34253477545771008 45671303394361344 68506955091542016 137013910183084032
- Sum of all divisors σ(n): 461737178752933200
- Sum of proper divisors (its aliquot sum) s(n): 324723268569849168
- 137013910183084032 is an abundant number, because the sum of its proper divisors (324723268569849168) is greater than itself. Its abundance is 187709358386765136
Bases of 137013910183084032
- Binary: 1111001101100010101101100111001011100000000000000000000002
- Hexadecimal: 0x1E6C56CE5C00000
- Base-36: 11H3DLE8OHS0
Squares and roots of 137013910183084032
- 137013910183084032 squared (1370139101830840322) is 18772811583658218199290002773377024
- 137013910183084032 cubed (1370139101830840323) is 2572136320207306615830334401753023207444887810080768
-
The
square root of 137013910183084032 is 370153900.6725230121 -
The
cube root of 137013910183084032 is 515531.1203770133
Scales and comparisons
How big is 137013910183084032?- 137,013,910,183,084,032 seconds is equal to 4,356,618,531 years, 50 weeks, 3 days, 13 hours, 7 minutes, 12 seconds.
-
To count from 1 to 137,013,910,183,084,032 would take you about thirteen billion, sixty-nine million, eight hundred fifty-five thousand, five hundred ninety-five 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 137013910183084032 cubic inches would be around 42960.9 feet tall.
Recreational maths with 137013910183084032
- 137013910183084032 backwards is 230480381019310731
- The number of decimal digits it has is: 18
- The sum of 137013910183084032's digits is 54
- More coming soon!
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"Number 137013910183084032 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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The information we have on file for 137013910183084032 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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