137398051396386816
137,398,051,396,386,816 is an even composite number composed of four prime numbers multiplied together.
What does the number 137398051396386816 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 840 divisors.
137398051396386816 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 137398051396386816:
220 × 3 × 74 × 2633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 263 × 263 × 263)See below for interesting mathematical facts about the number 137398051396386816 from the Numbermatics database.
Names of 137398051396386816
- Cardinal: 137398051396386816 can be written as One hundred thirty-seven quadrillion, three hundred ninety-eight trillion, fifty-one billion, three hundred ninety-six million, three hundred eighty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.37398051396386816 × 1017
Factors of 137398051396386816
Divisors of 137398051396386816
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 263 294 336 343 384 392 448 512 526 588 672 686 768 784 789 896 1024 1029 1052 1176 1344 1372 1536 1568 1578 1792 1841 2048 2058 2104 2352 2401 2688 2744 3072 3136 3156 3584 3682 4096 4116 4208 4704 4802 5376 5488 5523 6144 6272 6312 7168 7203 7364 8192 8232 8416 9408 9604 10752 10976 11046 12288 12544 12624 12887 14336 14406 14728 16384 16464 16832 18816 19208 21504 21952 22092 24576 25088 25248 25774 28672 28812 29456 32768 32928 33664 37632 38416 38661 43008 43904 44184 49152 50176 50496 51548 57344 57624 58912 65536 65856 67328 69169 75264 76832 77322 86016 87808 88368 90209 98304 100352 100992 103096 114688 115248 117824 131072 131712 134656 138338 150528 153664 154644 172032 175616 176736 180418 196608 200704 201984 206192 207507 229376 230496 235648 262144 263424 269312 270627 276676 301056 307328 309288 344064 351232 353472 360836 393216 401408 403968 412384 415014 458752 460992 471296 484183 524288 526848 538624 541254 553352 602112 614656 618576 631463 688128 702464 706944 721672 786432 802816 807936 824768 830028 917504 921984 942592 968366 1048576 1053696 1077248 1082508 1106704 1204224 1229312 1237152 1262926 1376256 1404928 1413888 1443344 1452549 1572864 1605632 1615872 1649536 1660056 1835008 1843968 1885184 1894389 1936732 2107392 2154496 2165016 2213408 2408448 2458624 2474304 2525852 2752512 2809856 2827776 2886688 2905098 3145728 3211264 3231744 3299072 3320112 3389281 3670016 3687936 3770368 3788778 3873464 4214784 4308992 4330032 4426816 4816896 4917248 4948608 5051704 5505024 5619712 5655552 5773376 5810196 6422528 6463488 6598144 6640224 6778562 7340032 7375872 7540736 7577556 7746928 8429568 8617984 8660064 8853632 9633792 9834496 9897216 10103408 10167843 11010048 11239424 11311104 11546752 11620392 12845056 12926976 13196288 13280448 13557124 14751744 15081472 15155112 15493856 16859136 17235968 17320128 17707264 18191447 19267584 19668992 19794432 20206816 20335686 22020096 22478848 22622208 23093504 23240784 23724967 25690112 25853952 26392576 26560896 27114248 29503488 30162944 30310224 30987712 33718272 34471936 34640256 35414528 36382894 38535168 39337984 39588864 40413632 40671372 44957696 45244416 46187008 46481568 47449934 51380224 51707904 52785152 53121792 54228496 54574341 59006976 60325888 60620448 61975424 67436544 68943872 69280512 70829056 71174901 72765788 77070336 78675968 79177728 80827264 81342744 89915392 90488832 92374016 92963136 94899868 103415808 105570304 106243584 108456992 109148682 118013952 120651776 121240896 123950848 127340129 134873088 137887744 138561024 141658112 142349802 145531576 154140672 157351936 158355456 161654528 162685488 166074769 179830784 180977664 184748032 185926272 189799736 206831616 211140608 212487168 216913984 218297364 236027904 241303552 242481792 247901696 254680258 269746176 275775488 277122048 283316224 284699604 291063152 314703872 316710912 323309056 325370976 332149538 359661568 361955328 369496064 371852544 379599472 382020387 413663232 422281216 424974336 433827968 436594728 472055808 482607104 484963584 495803392 498224307 509360516 539492352 554244096 566632448 569399208 582126304 629407744 633421824 646618112 650741952 664299076 723910656 738992128 743705088 759198944 764040774 827326464 844562432 849948672 867655936 873189456 891380903 944111616 965214208 969927168 991606784 996448614 1018721032 1078984704 1108488192 1133264896 1138798416 1164252608 1258815488 1266843648 1293236224 1301483904 1328598152 1447821312 1477984256 1487410176 1518397888 1528081548 1689124864 1699897344 1735311872 1746378912 1782761806 1888223232 1930428416 1939854336 1983213568 1992897228 2037442064 2216976384 2266529792 2277596832 2328505216 2517630976 2533687296 2586472448 2602967808 2657196304 2674142709 2895642624 2955968512 2974820352 3036795776 3056163096 3378249728 3399794688 3470623744 3492757824 3565523612 3776446464 3879708672 3966427136 3985794456 4074884128 4433952768 4533059584 4555193664 4657010432 5067374592 5172944896 5205935616 5314392608 5348285418 5791285248 5911937024 5949640704 6073591552 6112326192 6239666321 6756499456 6799589376 6941247488 6985515648 7131047224 7552892928 7759417344 7932854272 7971588912 8149768256 8867905536 9066119168 9110387328 9314020864 10134749184 10345889792 10411871232 10628785216 10696570836 11823874048 11899281408 12147183104 12224652384 12479332642 13512998912 13599178752 13882494976 13971031296 14262094448 15518834688 15865708544 15943177824 16299536512 17735811072 18132238336 18220774656 18628041728 18718998963 20269498368 20691779584 20823742464 21257570432 21393141672 23647748096 23798562816 24294366208 24449304768 24958665284 27198357504 27764989952 27942062592 28524188896 31037669376 31731417088 31886355648 32599073024 35471622144 36264476672 36441549312 37256083456 37437997926 40538996736 41383559168 41647484928 42515140864 42786283344 43677664247 47295496192 47597125632 48588732416 48898609536 49917330568 54396715008 55529979904 55884125184 57048377792 62075338752 63462834176 63772711296 65198146048 70943244288 72528953344 72883098624 74512166912 74875995852 82767118336 83294969856 85030281728 85572566688 87355328494 94590992384 95194251264 97177464832 97797219072 99834661136 108793430016 111059959808 111768250368 114096755584 124150677504 126925668352 127545422592 130396292096 131032992741 141886488576 145766197248 149024333824 149751991704 165534236672 166589939712 170060563456 171145133376 174710656988 190388502528 194354929664 195594438144 199669322272 217586860032 222119919616 223536500736 228193511168 248301355008 253851336704 255090845184 260792584192 262065985482 283772977152 291532394496 298048667648 299503983408 331068473344 333179879424 340121126912 342290266752 349421313976 380777005056 388709859328 391188876288 399338644544 444239839232 447073001472 456387022336 496602710016 507702673408 510181690368 521585168384 524131970964 583064788992 596097335296 599007966816 662136946688 666359758848 680242253824 684580533504 698842627952 761554010112 777419718656 782377752576 798677289088 888479678464 894146002944 912774044672 993205420032 1020363380736 1043170336768 1048263941928 1166129577984 1192194670592 1198015933632 1332719517696 1360484507648 1369161067008 1397685255904 1523108020224 1554839437312 1564755505152 1597354578176 1776959356928 1788292005888 1825548089344 1986410840064 2040726761472 2086340673536 2096527883856 2332259155968 2384389341184 2396031867264 2665439035392 2720969015296 2738322134016 2795370511808 3109678874624 3129511010304 3194709156352 3553918713856 3576584011776 3651096178688 4081453522944 4172681347072 4193055767712 4664518311936 4768778682368 4792063734528 5330878070784 5441938030592 5476644268032 5590741023616 6219357749248 6259022020608 6389418312704 7153168023552 7302192357376 8162907045888 8345362694144 8386111535424 9329036623872 9537557364736 9584127469056 10661756141568 10883876061184 10953288536064 11181482047232 12438715498496 12518044041216 12778836625408 14306336047104 14604384714752 16325814091776 16690725388288 16772223070848 18658073247744 19075114729472 19168254938112 21767752122368 21906577072128 22362964094464 24877430996992 25036088082432 25557673250816 28612672094208 29208769429504 32651628183552 33381450776576 33544446141696 37316146495488 38336509876224 43535504244736 43813154144256 44725928188928 50072176164864 51115346501632 57225344188416 58417538859008 65303256367104 66762901553152 67088892283392 74632292990976 76673019752448 87071008489472 87626308288512 89451856377856 100144352329728 102230693003264 116835077718016 130606512734208 133525803106304 134177784566784 153346039504896 174142016978944 175252616577024 178903712755712 200288704659456 204461386006528 233670155436032 261213025468416 268355569133568 306692079009792 350505233154048 357807425511424 400577409318912 408922772013056 467340310872064 522426050936832 536711138267136 613384158019584 701010466308096 715614851022848 817845544026112 934680621744128 1073422276534272 1226768316039168 1402020932616192 1431229702045696 1635691088052224 2146844553068544 2453536632078336 2804041865232384 2862459404091392 3271382176104448 4293689106137088 4907073264156672 5724918808182784 6542764352208896 8587378212274176 9814146528313344 11449837616365568 17174756424548352 19628293056626688 22899675232731136 34349512849096704 45799350465462272 68699025698193408 137398051396386816
- Sum of all divisors σ(n): 429066398123267520
- Sum of proper divisors (its aliquot sum) s(n): 291668346726880704
- 137398051396386816 is an abundant number, because the sum of its proper divisors (291668346726880704) is greater than itself. Its abundance is 154270295330493888
Bases of 137398051396386816
- Binary: 1111010000010001011001100101111100101000000000000000000002
- Hexadecimal: 0x1E822CCBE500000
- Base-36: 11KVJLFKUJUO
Squares and roots of 137398051396386816
- 137398051396386816 squared (1373980513963868162) is 18878224527524153078113739898617856
- 137398051396386816 cubed (1373980513963868163) is 2593831263905293800556882020121135652463950740586496
-
The
square root of 137398051396386816 is 370672431.3951427599 -
The
cube root of 137398051396386816 is 516012.4631381507
Scales and comparisons
How big is 137398051396386816?- 137,398,051,396,386,816 seconds is equal to 4,368,833,034 years, 17 weeks, 5 hours, 13 minutes, 36 seconds.
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To count from 1 to 137,398,051,396,386,816 would take you about thirteen billion, one hundred six million, four hundred ninety-nine thousand, one hundred two 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 137398051396386816 cubic inches would be around 43001 feet tall.
Recreational maths with 137398051396386816
- 137398051396386816 backwards is 618683693150893731
- The number of decimal digits it has is: 18
- The sum of 137398051396386816's digits is 87
- More coming soon!
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The information we have on file for 137398051396386816 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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