137984313452544
137,984,313,452,544 is an even composite number composed of five prime numbers multiplied together.
What does the number 137984313452544 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
137984313452544 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 137984313452544:
211 × 34 × 13 × 192 × 4212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 19 × 19 × 421 × 421)See below for interesting mathematical facts about the number 137984313452544 from the Numbermatics database.
Names of 137984313452544
- Cardinal: 137984313452544 can be written as One hundred thirty-seven trillion, nine hundred eighty-four billion, three hundred thirteen million, four hundred fifty-two thousand, five hundred forty-four.
Scientific notation
- Scientific notation: 1.37984313452544 × 1014
Factors of 137984313452544
Divisors of 137984313452544
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 64 72 76 78 81 96 104 108 114 117 128 144 152 156 162 171 192 208 216 228 234 247 256 288 304 312 324 342 351 361 384 416 421 432 456 468 494 512 513 576 608 624 648 684 702 722 741 768 832 842 864 912 936 988 1024 1026 1053 1083 1152 1216 1248 1263 1296 1368 1404 1444 1482 1536 1539 1664 1684 1728 1824 1872 1976 2048 2052 2106 2166 2223 2304 2432 2496 2526 2592 2736 2808 2888 2964 3072 3078 3249 3328 3368 3456 3648 3744 3789 3952 4104 4212 4332 4446 4608 4693 4864 4992 5052 5184 5472 5473 5616 5776 5928 6144 6156 6498 6656 6669 6736 6912 7296 7488 7578 7904 7999 8208 8424 8664 8892 9216 9386 9728 9747 9984 10104 10368 10944 10946 11232 11367 11552 11856 12312 12996 13312 13338 13472 13824 14079 14592 14976 15156 15808 15998 16416 16419 16848 17328 17784 18432 18772 19456 19494 19968 20007 20208 20736 21888 21892 22464 22734 23104 23712 23997 24624 25992 26624 26676 26944 27648 28158 29184 29241 29952 30312 31616 31996 32832 32838 33696 34101 34656 35568 37544 38912 38988 39936 40014 40416 41472 42237 43776 43784 44928 45468 46208 47424 47994 49248 49257 51984 53352 53888 55296 56316 58368 58482 59904 60624 63232 63992 65664 65676 67392 68202 69312 71136 71991 75088 77976 79872 80028 80832 82944 84474 87552 87568 89856 90936 92416 94848 95988 98496 98514 103968 103987 106704 107776 112632 116736 116964 119808 121248 126464 126711 127984 131328 131352 134784 136404 138624 142272 143982 147771 150176 151981 155952 160056 161664 165888 168948 175104 175136 177241 179712 181872 184832 189696 191976 196992 197028 207936 207974 213408 215552 215973 225264 233928 239616 242496 252928 253422 255968 262656 262704 269568 272808 277248 284544 287964 295542 300352 303962 311904 311961 320112 323328 337896 350208 350272 354482 359424 363744 369664 379392 380133 383952 393984 394056 415872 415948 426816 431104 431946 443313 450528 455943 467856 484992 505856 506844 511936 525312 525408 531723 539136 545616 554496 569088 575928 591084 600704 607924 623808 623922 640224 646656 647919 675792 700544 708964 718848 727488 739328 758784 760266 767904 787968 788112 831744 831896 853632 862208 863892 886626 901056 911886 935712 935883 969984 1013688 1023872 1050624 1050816 1063446 1078272 1091232 1108992 1138176 1151856 1182168 1201408 1215848 1247616 1247844 1280448 1293312 1295838 1351584 1367829 1401088 1417928 1454976 1517568 1520532 1535808 1575936 1576224 1595169 1663488 1663792 1707264 1727784 1773252 1802112 1823772 1871424 1871766 1939968 1975753 2027376 2047744 2101632 2126892 2156544 2182464 2217984 2276352 2303712 2304133 2364336 2402816 2431696 2495232 2495688 2560896 2586624 2591676 2703168 2735658 2802176 2807649 2835856 2909952 3041064 3071616 3151872 3152448 3190338 3326976 3327584 3367579 3414528 3455568 3546504 3604224 3647544 3742848 3743532 3879936 3951506 4054752 4095488 4103487 4203264 4253784 4364928 4552704 4607424 4608266 4728672 4785507 4805632 4863392 4990464 4991376 5121792 5183352 5406336 5471316 5604352 5615298 5671712 5819904 5927259 6082128 6143232 6304896 6380676 6653952 6655168 6735158 6829056 6911136 6912399 7093008 7208448 7295088 7485696 7487064 7759872 7903012 8109504 8190976 8206974 8406528 8422947 8507568 8729856 9214848 9216532 9457344 9571014 9611264 9726784 9980928 9982752 10102737 10243584 10366704 10812672 10942632 11208704 11230596 11343424 11639808 11854518 12164256 12286464 12310461 12609792 12761352 13310336 13470316 13658112 13822272 13824798 14186016 14356521 14416896 14590176 14971392 14974128 15806024 16219008 16381952 16413948 16813056 16845894 17015136 17459712 17781777 18429696 18433064 18914688 19142028 19453568 19961856 19965504 20205474 20487168 20733408 20737197 21625344 21885264 22461192 22686848 23279616 23709036 24328512 24572928 24620922 25219584 25522704 26620672 26940632 27644544 27649596 28372032 28713042 28833792 29180352 29942784 29948256 30308211 31612048 32438016 32827896 33626112 33691788 34030272 34919424 35563554 36859392 36866128 37829376 38284056 38907136 39931008 40410948 40974336 41466816 41474394 43250688 43770528 43778527 44922384 45373696 47418072 48657024 49145856 49241844 50439168 51045408 53241344 53345331 53881264 55289088 55299192 56744064 57426084 58360704 59885568 59896512 60616422 62211591 63224096 63984001 64876032 65655792 67383576 68060544 69838848 71127108 73718784 73732256 75658752 76568112 77814272 79862016 80821896 82933632 82948788 86501376 87541056 87557054 89844768 90747392 90924633 94836144 97314048 98483688 100878336 102090816 106482688 106690662 107762528 110578176 110598384 113488128 114852168 116721408 119793024 121232844 124423182 126448192 127968002 129752064 131311584 131335581 134767152 136121088 142254216 147437568 147464512 151317504 153136224 155628544 159724032 160035993 161643792 165867264 165897576 175082112 175114108 179689536 181494784 181849266 186634773 189672288 191952003 194628096 196967376 204181632 212965376 213381324 215525056 221156352 221196768 226976256 229704336 233442816 239586048 242465688 248846364 252896384 255936004 259504128 262623168 262671162 269534304 272242176 272773899 284508432 294929024 302635008 306272448 311257088 319448064 320071986 323287584 331734528 331795152 350164224 350228216 359379072 362989568 363698532 373269546 379344576 383904006 389256192 393934752 394006743 408363264 426762648 431050112 442312704 442393536 453952512 459408672 466885632 479172096 484931376 497692728 505792768 511872008 525246336 525342324 539068608 544484352 545547798 569016864 575856009 589858048 612544896 638896128 640143972 646575168 663469056 663590304 700328448 700456432 718758144 727397064 746539092 758689152 767808012 778512384 787869504 788013486 816726528 831792013 853525296 862100224 884787072 907905024 918817344 933771264 958344192 969862752 995385456 1011585536 1023744016 1050492672 1050684648 1078137216 1088968704 1091095596 1138033728 1151712018 1179716096 1182020229 1225089792 1280287944 1293150336 1326938112 1327180608 1400656896 1400912864 1437516288 1454794128 1493078184 1517378304 1535616024 1575739008 1576026972 1633453056 1663584026 1707050592 1724200448 1727568027 1769574144 1837634688 1916688384 1939725504 1990770912 2023171072 2047488032 2100985344 2101369296 2156274432 2182191192 2276067456 2303424036 2359432192 2364040458 2450179584 2495376039 2560575888 2586300672 2654361216 2801313792 2801825728 2875032576 2909588256 2986156368 3034756608 3071232048 3151478016 3152053944 3266906112 3327168052 3414101184 3448400896 3455136054 3539148288 3546060687 3675269376 3879451008 3981541824 4046342144 4094976064 4201970688 4202738592 4312548864 4364382384 4552134912 4606848072 4718864384 4728080916 4900359168 4990752078 5121151776 5172601344 5182704081 5308722432 5603651456 5750065152 5819176512 5972312736 6069513216 6142464096 6302956032 6304107888 6654336104 6828202368 6896801792 6910272108 7078296576 7092121374 7350538752 7486128117 7758902016 7963083648 8189952128 8403941376 8405477184 8625097728 8728764768 9104269824 9213696144 9456161832 9800718336 9981504156 10242303552 10345202688 10365408162 10617444864 11207302912 11638353024 11944625472 12139026432 12284928192 12605912064 12608215776 13308672208 13656404736 13820544216 14156593152 14184242748 14701077504 14972256234 15517804032 15926167296 16379904256 16810954368 17250195456 17457529536 18208539648 18427392288 18912323664 19963008312 20484607104 20690405376 20730816324 21234889728 22414605824 22458384351 23276706048 23889250944 24569856384 25211824128 25216431552 26617344416 27312809472 27641088432 28368485496 29402155008 29944512468 31035608064 31852334592 32759808512 33621908736 34915059072 36417079296 36854784576 37824647328 39926016624 40969214208 41461632648 42469779456 44829211648 44916768702 46553412096 47778501888 49139712768 50432863104 53234688832 54625618944 55282176864 56736970992 59889024936 62071216128 63704669184 65519617024 67243817472 67375153053 69830118144 73709569152 75649294656 79852033248 81938428416 82923265296 89658423296 89833537404 93106824192 95557003776 98279425536 100865726208 106469377664 109251237888 110564353728 113473941984 119778049872 127409338368 131039234048 134487634944 134750306106 139660236288 147419138304 151298589312 159704066496 163876856832 165846530592 179667074808 186213648384 191114007552 196558851072 201731452416 212938755328 221128707456 226947883968 239556099744 268975269888 269500612212 279320472576 294838276608 302597178624 319408132992 327753713664 331693061184 359334149616 382228015104 393117702144 403462904832 425877510656 442257414912 453895767936 479112199488 539001224424 558640945152 589676553216 605194357248 638816265984 663386122368 718668299232 806925809664 851755021312 884514829824 907791535872 958224398976 1078002448848 1179353106432 1210388714496 1277632531968 1326772244736 1437336598464 1703510042624 1769029659648 1815583071744 1916448797952 2156004897696 2420777428992 2555265063936 2653544489472 2874673196928 3538059319296 3631166143488 3832897595904 4312009795392 5110530127872 5307088978944 5749346393856 7262332286976 7665795191808 8624019590784 10614177957888 11498692787712 15331590383616 17248039181568 22997385575424 34496078363136 45994771150848 68992156726272 137984313452544
- Sum of all divisors σ(n): 469558037738790
- Sum of proper divisors (its aliquot sum) s(n): 331573724286246
- 137984313452544 is an abundant number, because the sum of its proper divisors (331573724286246) is greater than itself. Its abundance is 193589410833702
Bases of 137984313452544
- Binary: 111110101111110111110011111110011101000000000002
- Hexadecimal: 0x7D7EF9FCE800
- Base-36: 1CWT49KW00
Squares and roots of 137984313452544
- 137984313452544 squared (1379843134525442) is 19039670758969915089340071936
- 137984313452544 cubed (1379843134525443) is 2627175898038941085218204703649853482205184
-
The
square root of 137984313452544 is 11746672.4416978615 -
The
cube root of 137984313452544 is 51674.5344162231
Scales and comparisons
How big is 137984313452544?- 137,984,313,452,544 seconds is equal to 4,387,474 years, 18 weeks, 2 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 137,984,313,452,544 would take you about ten million, nine hundred sixty-eight thousand, six hundred eighty-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 137984313452544 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137984313452544
- 137984313452544 backwards is 445254313489731
- The number of decimal digits it has is: 15
- The sum of 137984313452544's digits is 63
- More coming soon!
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The information we have on file for 137984313452544 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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