137959953516199936
137,959,953,516,199,936 is an even composite number composed of five prime numbers multiplied together.
What does the number 137959953516199936 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
137959953516199936 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 137959953516199936:
220 × 11 × 233 × 37 × 1632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 23 × 23 × 23 × 37 × 163 × 163)See below for interesting mathematical facts about the number 137959953516199936 from the Numbermatics database.
Names of 137959953516199936
- Cardinal: 137959953516199936 can be written as One hundred thirty-seven quadrillion, nine hundred fifty-nine trillion, nine hundred fifty-three billion, five hundred sixteen million, one hundred ninety-nine thousand, nine hundred thirty-six.
Scientific notation
- Scientific notation: 1.37959953516199936 × 1017
Factors of 137959953516199936
Divisors of 137959953516199936
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 8 11 16 22 23 32 37 44 46 64 74 88 92 128 148 163 176 184 253 256 296 326 352 368 407 506 512 529 592 652 704 736 814 851 1012 1024 1058 1184 1304 1408 1472 1628 1702 1793 2024 2048 2116 2368 2608 2816 2944 3256 3404 3586 3749 4048 4096 4232 4736 5216 5632 5819 5888 6031 6512 6808 7172 7498 8096 8192 8464 9361 9472 10432 11264 11638 11776 12062 12167 13024 13616 14344 14996 16192 16384 16928 18722 18944 19573 20864 22528 23276 23552 24124 24334 26048 26569 27232 28688 29992 32384 32768 33856 37444 37888 39146 41239 41728 45056 46552 47104 48248 48668 52096 53138 54464 57376 59984 64768 65536 66341 67712 74888 75776 78292 82478 83456 86227 90112 93104 94208 96496 97336 104192 106276 108928 114752 119968 129536 131072 132682 133837 135424 138713 149776 151552 156584 164956 166912 172454 180224 186208 188416 192992 194672 208384 212552 215303 217856 229504 239936 259072 262144 265364 267674 270848 277426 292259 299552 303104 313168 329912 333824 344908 360448 372416 376832 385984 389344 416768 425104 430606 435712 450179 459008 479872 518144 524288 530728 535348 541696 554852 584518 599104 606208 611087 626336 659824 667648 689816 720896 744832 753664 771968 778688 833536 850208 861212 871424 900358 918016 948497 959744 983053 1036288 1048576 1061456 1070696 1083392 1109704 1169036 1198208 1212416 1222174 1252672 1319648 1335296 1379632 1441792 1489664 1507328 1525843 1543936 1557376 1667072 1700416 1722424 1742848 1800716 1836032 1896994 1919488 1966106 1983221 2072576 2122912 2141392 2166784 2219408 2338072 2396416 2424832 2444348 2505344 2639296 2670592 2759264 2883584 2979328 3014656 3051686 3087872 3114752 3190399 3334144 3400832 3444848 3485696 3601432 3672064 3793988 3838976 3932212 3966442 4145152 4245824 4282784 4333568 4438816 4676144 4792832 4849664 4888696 4951969 5010688 5278592 5341184 5518528 5767168 5958656 6029312 6103372 6175744 6229504 6380798 6668288 6721957 6801664 6889696 6971392 7202864 7344128 7587976 7677952 7864424 7932884 8290304 8491648 8565568 8667136 8877632 9352288 9585664 9699328 9777392 9903938 10021376 10557184 10682368 10813583 11037056 11534336 11917312 12058624 12206744 12351488 12459008 12761596 13336576 13443914 13603328 13779392 13942784 14055001 14405728 14688256 15175952 15355904 15728848 15865768 16580608 16983296 17131136 17334272 17755264 18704576 19171328 19398656 19554784 19807876 20042752 21114368 21364736 21627166 21815431 22074112 22610219 23834624 24117248 24413488 24702976 24918016 25523192 26673152 26887828 27206656 27558784 27885568 28110002 28811456 29376512 30351904 30711808 31457696 31731536 33161216 33966592 34262272 34668544 35094389 35510528 37409152 38342656 38797312 39109568 39615752 40085504 42228736 42729472 43254332 43630862 44148224 45220438 47669248 48826976 49405952 49836032 51046384 53346304 53775656 54413312 55117568 55771136 56220004 57622912 58753024 60703808 61423616 62915392 63463072 66322432 67933184 68524544 69337088 70188778 71021056 73379177 74818304 76685312 78219136 79231504 80171008 84457472 85458944 86508664 87261724 88296448 90440876 95338496 97653952 98811904 99672064 102092768 106692608 107551312 108826624 110235136 111542272 112440008 115245824 117506048 121407616 122847232 125830784 126926144 132644864 135866368 137049088 138674176 140377556 142042112 146758354 149636608 153370624 154605011 156438272 158463008 160342016 168914944 170917888 173017328 174523448 176592896 180881752 190676992 195307904 197623808 199344128 204185536 213385216 215102624 217653248 220470272 223084544 224880016 230491648 235012096 242815232 245694464 248712409 251661568 253852288 265289728 271732736 274098176 277348352 280755112 284084224 293516708 299273216 306741248 309210022 312876544 316926016 320684032 323265023 337829888 346034656 349046896 353185792 361763504 381353984 390615808 395247616 398688256 408371072 426770432 430205248 435306496 440940544 446169088 449760032 460983296 470024192 485630464 491388928 497424818 503323136 507704576 520035037 543465472 548196352 554696704 561510224 568168448 587033416 598546432 613482496 618420044 625753088 633852032 641368064 646530046 675659776 692069312 698093792 706371584 723527008 762707968 781231616 790495232 797376512 807170947 816742144 860410496 870612992 881881088 892338176 899520064 921966592 940048384 971260928 982777856 994849636 1006646272 1015409152 1040070074 1086930944 1096392704 1123020448 1136336896 1174066832 1197092864 1226964992 1236840088 1251506176 1267704064 1282736128 1293060092 1351319552 1384138624 1396187584 1412743168 1447054016 1525415936 1562463232 1580990464 1594753024 1614341894 1633484288 1720820992 1741225984 1763762176 1799040128 1843933184 1880096768 1942521856 1965555712 1989699272 2013292544 2030818304 2080140148 2173861888 2192785408 2246040896 2272673792 2348133664 2394185728 2453929984 2473680176 2503012352 2535408128 2565472256 2586120184 2702639104 2768277248 2792375168 2825486336 2894108032 3050831872 3124926464 3161980928 3189506048 3228683788 3266968576 3441641984 3482451968 3527524352 3555915253 3598080256 3687866368 3885043712 3931111424 3979398544 4026585088 4061636608 4160280296 4347723776 4385570816 4492081792 4545347584 4696267328 4788371456 4907859968 4947360352 5006024704 5070816256 5130944512 5172240368 5405278208 5536554496 5584750336 5650972672 5720385407 5788216064 6101663744 6249852928 6323961856 6379012096 6457367576 6533937152 6883283968 6964903936 7055048704 7111830506 7196160512 7375732736 7770087424 7958797088 8053170176 8123273216 8320560592 8695447552 8771141632 8984163584 9090695168 9392534656 9576742912 9815719936 9894720704 10012049408 10141632512 10261889024 10344480736 10810556416 11073108992 11169500672 11301945344 11440770814 11576432128 11960805851 12499705856 12758024192 12914735152 13067874304 13766567936 13929807872 14110097408 14223661012 14392321024 14751465472 15540174848 15917594176 16106340352 16246546432 16641121184 17390895104 17542283264 17968327168 18181390336 18785069312 19153485824 19789441408 20024098816 20283265024 20523778048 20688961472 21621112832 22146217984 22339001344 22603890688 22881541628 23152864256 23921611702 24999411712 25829470304 26135748608 27533135872 27859615744 28220194816 28447322024 28784642048 29502930944 31080349696 31835188352 32212680704 32493092864 33282242368 34781790208 35084566528 35936654336 36362780672 37570138624 38306971648 39578882816 40048197632 40566530048 41377922944 43242225664 44292435968 44678002688 45207781376 45763083256 46305728512 47843223404 49998823424 51658940608 52271497216 55066271744 56440389632 56894644048 57569284096 59005861888 62160699392 63670376704 64425361408 64986185728 66564484736 69563580416 70169133056 71873308672 72725561344 75140277248 76613943296 79157765632 80096395264 81133060096 82755845888 88584871936 89356005376 90415562752 91526166512 92611457024 95686446808 99997646848 103317881216 104542994432 110132543488 112880779264 113789288096 115138568192 118011723776 124321398784 127340753408 128850722816 129972371456 131568864361 133128969472 140338266112 143746617344 145451122688 150280554496 153227886592 158315531264 160192790528 162266120192 165511691776 177169743872 178712010752 183052333024 185222914048 191372893616 199995293696 206635762432 209085988864 220265086976 225761558528 227578576192 230277136384 236023447552 248642797568 254681506816 257701445632 259944742912 263137728722 266257938944 287493234688 300561108992 306455773184 316631062528 320385581056 324532240384 331023383552 354339487744 357424021504 366104666048 370445828096 382745787232 399990587392 413271524864 418171977728 440530173952 455157152384 460554272768 472046895104 497285595136 509363013632 515402891264 519889485824 526275457444 532515877888 574986469376 601122217984 633262125056 640771162112 649064480768 662046767104 708678975488 714848043008 732209332096 740891656192 765491574464 799981174784 826543049728 836343955456 881060347904 910314304768 921108545536 994571190272 1018726027264 1030805782528 1039778971648 1052550914888 1065031755776 1149972938752 1202244435968 1266524250112 1298128961536 1324093534208 1417357950976 1429696086016 1464418664192 1481783312384 1530983148928 1599962349568 1653086099456 1672687910912 1762120695808 1820628609536 1842217091072 2037452054528 2079557943296 2105101829776 2130063511552 2299945877504 2404488871936 2533048500224 2596257923072 2648187068416 2834715901952 2859392172032 2928837328384 2963566624768 3061966297856 3306172198912 3345375821824 3524241391616 3641257219072 3684434182144 4074904109056 4210203659552 4260127023104 4599891755008 4808977743872 5066097000448 5192515846144 5296374136832 5669431803904 5718784344064 5857674656768 5927133249536 6123932595712 6612344397824 7048482783232 7282514438144 7368868364288 8149808218112 8420407319104 8520254046208 9199783510016 9617955487744 10132194000896 10592748273664 11338863607808 11437568688128 11715349313536 11854266499072 12247865191424 13224688795648 14565028876288 14737736728576 16299616436224 16840814638208 17040508092416 18399567020032 19235910975488 20264388001792 21185496547328 22875137376256 23430698627072 23708532998144 24495730382848 26449377591296 29130057752576 32599232872448 33681629276416 34081016184832 36799134040064 38471821950976 40528776003584 42370993094656 46861397254144 48991460765696 52898755182592 58260115505152 65198465744896 67363258552832 68162032369664 76943643901952 81057552007168 84741986189312 93722794508288 97982921531392 105797510365184 116520231010304 130396931489792 134726517105664 136324064739328 162115104014336 169483972378624 187445589016576 195965843062784 211595020730368 233040462020608 260793862979584 269453034211328 272648129478656 338967944757248 374891178033152 391931686125568 423190041460736 466080924041216 538906068422656 545296258957312 749782356066304 783863372251136 846380082921472 932161848082432 1077812136845312 1499564712132608 1567726744502272 1864323696164864 2155624273690624 2999129424265216 3135453489004544 3728647392329728 4311248547381248 5998258848530432 6270906978009088 8622497094762496 12541813956018176 17244994189524992 34489988379049984 68979976758099968 137959953516199936
- Sum of all divisors σ(n): 325184138765458560
- Sum of proper divisors (its aliquot sum) s(n): 187224185249258624
- 137959953516199936 is an abundant number, because the sum of its proper divisors (187224185249258624) is greater than itself. Its abundance is 49264231733058688
Bases of 137959953516199936
- Binary: 1111010100010000111011000110001101001000000000000000000002
- Hexadecimal: 0x1EA21D8C6900000
- Base-36: 11QEPZPB3OXS
Squares and roots of 137959953516199936
- 137959953516199936 squared (1379599535161999362) is 19032948774192047084788389926404096
- 137959953516199936 cubed (1379599535161999363) is 2625784728163749367920406446069135996720327065337856
-
The
square root of 137959953516199936 is 371429607.7538783607 -
The
cube root of 137959953516199936 is 516714.9333998085
Scales and comparisons
How big is 137959953516199936?- 137,959,953,516,199,936 seconds is equal to 4,386,699,783 years, 34 weeks, 2 days, 7 hours, 32 minutes, 16 seconds.
-
To count from 1 to 137,959,953,516,199,936 would take you about thirteen billion, one hundred sixty million, ninety-nine thousand, three hundred fifty 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 137959953516199936 cubic inches would be around 43059.6 feet tall.
Recreational maths with 137959953516199936
- 137959953516199936 backwards is 639991615359959731
- The number of decimal digits it has is: 18
- The sum of 137959953516199936's digits is 100
- More coming soon!
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The information we have on file for 137959953516199936 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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