137982445394853888
137,982,445,394,853,888 is an even composite number composed of four prime numbers multiplied together.
What does the number 137982445394853888 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 900 divisors.
137982445394853888 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 137982445394853888:
224 × 33 × 312 × 5632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 31 × 563 × 563)See below for interesting mathematical facts about the number 137982445394853888 from the Numbermatics database.
Names of 137982445394853888
- Cardinal: 137982445394853888 can be written as One hundred thirty-seven quadrillion, nine hundred eighty-two trillion, four hundred forty-five billion, three hundred ninety-four million, eight hundred fifty-three thousand, eight hundred eighty-eight.
Scientific notation
- Scientific notation: 1.37982445394853888 × 1017
Factors of 137982445394853888
Divisors of 137982445394853888
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 512 558 563 576 744 768 837 864 961 992 1024 1116 1126 1152 1488 1536 1674 1689 1728 1922 1984 2048 2232 2252 2304 2883 2976 3072 3348 3378 3456 3844 3968 4096 4464 4504 4608 5067 5766 5952 6144 6696 6756 6912 7688 7936 8192 8649 8928 9008 9216 10134 11532 11904 12288 13392 13512 13824 15201 15376 15872 16384 17298 17453 17856 18016 18432 20268 23064 23808 24576 25947 26784 27024 27648 30402 30752 31744 32768 34596 34906 35712 36032 36864 40536 46128 47616 49152 51894 52359 53568 54048 55296 60804 61504 63488 65536 69192 69812 71424 72064 73728 81072 92256 95232 98304 103788 104718 107136 108096 110592 121608 123008 126976 131072 138384 139624 142848 144128 147456 157077 162144 184512 190464 196608 207576 209436 214272 216192 221184 243216 246016 253952 262144 276768 279248 285696 288256 294912 314154 316969 324288 369024 380928 393216 415152 418872 428544 432384 442368 471231 486432 492032 507904 524288 541043 553536 558496 571392 576512 589824 628308 633938 648576 738048 761856 786432 830304 837744 857088 864768 884736 942462 950907 972864 984064 1015808 1048576 1082086 1107072 1116992 1142784 1153024 1179648 1256616 1267876 1297152 1476096 1523712 1572864 1623129 1660608 1675488 1714176 1729536 1769472 1884924 1901814 1945728 1968128 2031616 2097152 2164172 2214144 2233984 2285568 2306048 2359296 2513232 2535752 2594304 2852721 2952192 3047424 3145728 3246258 3321216 3350976 3428352 3459072 3538944 3769848 3803628 3891456 3936256 4063232 4194304 4328344 4428288 4467968 4571136 4612096 4718592 4869387 5026464 5071504 5188608 5705442 5904384 6094848 6291456 6492516 6642432 6701952 6856704 6918144 7077888 7539696 7607256 7782912 7872512 8126464 8388608 8558163 8656688 8856576 8935936 9142272 9224192 9437184 9738774 9826039 10052928 10143008 10377216 11410884 11808768 12189696 12582912 12985032 13284864 13403904 13713408 13836288 14155776 14608161 15079392 15214512 15565824 15745024 16252928 16777216 17116326 17313376 17713152 17871872 18284544 18448384 18874368 19477548 19652078 20105856 20286016 20754432 22821768 23617536 24379392 25165824 25970064 26569728 26807808 27426816 27672576 28311552 29216322 29478117 30158784 30429024 31131648 31490048 32505856 34232652 34626752 35426304 35743744 36569088 36896768 37748736 38955096 39304156 40211712 40572032 41508864 45643536 47235072 48758784 50331648 51940128 53139456 53615616 54853632 55345152 56623104 58432644 58956234 60317568 60858048 62263296 62980096 65011712 68465304 69253504 70852608 71487488 73138176 73793536 75497472 77910192 78608312 80423424 81144064 83017728 88434351 91287072 94470144 97517568 103880256 106278912 107231232 109707264 110690304 113246208 116865288 117912468 120635136 121716096 124526592 125960192 130023424 136930608 138507008 141705216 142974976 146276352 147587072 150994944 155820384 157216624 160846848 162288128 166035456 176868702 182574144 188940288 195035136 207760512 212557824 214462464 219414528 221380608 226492416 233730576 235824936 241270272 243432192 249053184 251920384 260046848 265303053 273861216 277014016 283410432 285949952 292552704 295174144 304607209 311640768 314433248 321693696 324576256 332070912 353737404 365148288 377880576 390070272 415521024 425115648 428924928 438829056 442761216 452984832 467461152 471649872 482540544 486864384 498106368 503840768 520093696 530606106 547722432 554028032 566820864 571899904 585105408 590348288 609214418 623281536 628866496 643387392 649152512 664141824 707474808 730296576 755761152 780140544 831042048 850231296 857849856 877658112 885522432 913821627 934922304 943299744 965081088 973728768 996212736 1007681536 1061212212 1095444864 1108056064 1133641728 1143799808 1170210816 1180696576 1218428836 1246563072 1257732992 1286774784 1298305024 1328283648 1414949616 1460593152 1511522304 1560281088 1662084096 1700462592 1715699712 1755316224 1771044864 1827643254 1869844608 1886599488 1930162176 1947457536 1992425472 2015363072 2122424424 2190889728 2216112128 2267283456 2287599616 2340421632 2361393152 2436857672 2493126144 2515465984 2573549568 2596610048 2656567296 2741464881 2829899232 2921186304 3023044608 3324168192 3400925184 3431399424 3510632448 3542089728 3655286508 3739689216 3773198976 3860324352 3894915072 3984850944 4030726144 4244848848 4381779456 4432224256 4534566912 4575199232 4680843264 4722786304 4873715344 4986252288 5030931968 5147099136 5193220096 5313134592 5482929762 5659798464 5842372608 6046089216 6648336384 6801850368 6862798848 7021264896 7084179456 7310573016 7479378432 7546397952 7720648704 7789830144 7969701888 8061452288 8224394643 8489697696 8763558912 8864448512 9069133824 9150398464 9445572608 9747430688 9972504576 10061863936 10294198272 10386440192 10626269184 10965859524 11319596928 11684745216 12092178432 13296672768 13603700736 13725597696 14042529792 14168358912 14621146032 14958756864 15092795904 15441297408 15579660288 15939403776 16122904576 16448789286 16979395392 17527117824 17728897024 18138267648 18300796928 19494861376 19945009152 20123727872 20588396544 20772880384 21252538368 21931719048 22639193856 23369490432 24184356864 26593345536 27207401472 27451195392 28336717824 29242292064 29917513728 30185591808 30882594816 31159320576 31878807552 32897578572 33958790784 35054235648 35457794048 36276535296 36601593856 38989722752 39890018304 40247455744 41176793088 41545760768 42505076736 43863438096 45278387712 46738980864 48368713728 53186691072 54414802944 54902390784 58484584128 59835027456 60371183616 61765189632 62318641152 63757615104 65795157144 67917581568 70108471296 70915588096 72553070592 73203187712 77979445504 79780036608 80494911488 82353586176 83091521536 85010153472 87726876192 90556775424 93477961728 106373382144 108829605888 109804781568 116969168256 119670054912 120742367232 123530379264 124637282304 127515230208 131590314288 135835163136 140216942592 141831176192 145106141184 146406375424 155958891008 159560073216 160989822976 164707172352 166183043072 175453752384 181113550848 186955923456 212746764288 217659211776 219609563136 233938336512 239340109824 241484734464 247060758528 249274564608 255030460416 263180628576 271670326272 280433885184 283662352384 292812750848 311917782016 319120146432 321979645952 329414344704 332366086144 350907504768 362227101696 373911846912 425493528576 435318423552 439219126272 467876673024 478680219648 482969468928 494121517056 498549129216 526361257152 543340652544 560867770368 567324704768 623835564032 638240292864 643959291904 658828689408 664732172288 701815009536 724454203392 747823693824 850987057152 878438252544 935753346048 957360439296 965938937856 988243034112 997098258432 1052722514304 1086681305088 1121735540736 1134649409536 1247671128064 1276480585728 1287918583808 1317657378816 1329464344576 1403630019072 1448908406784 1495647387648 1701974114304 1871506692096 1914720878592 1931877875712 1976486068224 1994196516864 2105445028608 2173362610176 2243471081472 2269298819072 2495342256128 2552961171456 2575837167616 2635314757632 2658928689152 2807260038144 2897816813568 2991294775296 3403948228608 3743013384192 3829441757184 3863755751424 3952972136448 3988393033728 4210890057216 4346725220352 4486942162944 4538597638144 4990684512256 5105922342912 5151674335232 5317857378304 5614520076288 5795633627136 5982589550592 6807896457216 7486026768384 7658883514368 7727511502848 7905944272896 7976786067456 8421780114432 8693450440704 8973884325888 9077195276288 9981369024512 10211844685824 10303348670464 11229040152576 11591267254272 11965179101184 13615792914432 14972053536768 15317767028736 15455023005696 15953572134912 16843560228864 17386900881408 17947768651776 19962738049024 20423689371648 20606697340928 22458080305152 23182534508544 23930358202368 27231585828864 29944107073536 30635534057472 30910046011392 33687120457728 34773801762816 35895537303552 39925476098048 40847378743296 41213394681856 44916160610304 46365069017088 47860716404736 59888214147072 61271068114944 61820092022784 67374240915456 69547603525632 71791074607104 79850952196096 81694757486592 82426789363712 89832321220608 92730138034176 119776428294144 122542136229888 123640184045568 134748481830912 139095207051264 143582149214208 159701904392192 164853578727424 179664642441216 185460276068352 239552856588288 245084272459776 247280368091136 269496963661824 278190414102528 319403808784384 359329284882432 370920552136704 479105713176576 494560736182272 538993927323648 556380828205056 638807617568768 718658569764864 741841104273408 958211426353152 1077987854647296 1112761656410112 1277615235137536 1437317139529728 1483682208546816 1916422852706304 2155975709294592 2225523312820224 2555230470275072 2874634279059456 3832845705412608 4311951418589184 4451046625640448 5110460940550144 5749268558118912 7665691410825216 8623902837178368 11498537116237824 15331382821650432 17247805674356736 22997074232475648 34495611348713472 45994148464951296 68991222697426944 137982445394853888
- Sum of all divisors σ(n): 423202266590077560
- Sum of proper divisors (its aliquot sum) s(n): 285219821195223672
- 137982445394853888 is an abundant number, because the sum of its proper divisors (285219821195223672) is greater than itself. Its abundance is 147237375800369784
Bases of 137982445394853888
- Binary: 1111010100011011001001101100100110000000000000000000000002
- Hexadecimal: 0x1EA364D93000000
- Base-36: 11QMP0BUXHC0
Squares and roots of 137982445394853888
- 137982445394853888 squared (1379824453948538882) is 19039155237143834923901912868716544
- 137982445394853888 cubed (1379824453948538883) is 2627069197873345629098180112735327179920040968323072
-
The
square root of 137982445394853888 is 371459883.9644112741 -
The
cube root of 137982445394853888 is 516743.0122196929
Scales and comparisons
How big is 137982445394853888?- 137,982,445,394,853,888 seconds is equal to 4,387,414,955 years, 43 weeks, 22 hours, 4 minutes, 48 seconds.
-
To count from 1 to 137,982,445,394,853,888 would take you about thirteen billion, one hundred sixty-two million, two hundred forty-four thousand, eight hundred sixty-seven 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 137982445394853888 cubic inches would be around 43061.9 feet tall.
Recreational maths with 137982445394853888
- 137982445394853888 backwards is 888358493544289731
- The number of decimal digits it has is: 18
- The sum of 137982445394853888's digits is 99
- More coming soon!
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The information we have on file for 137982445394853888 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 137982445394853888, math, Factors of 137982445394853888, curriculum, school, college, exams, university, Prime factorization of 137982445394853888, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, nine hundred eighty-two trillion, four hundred forty-five billion, three hundred ninety-four million, eight hundred fifty-three thousand, eight hundred eighty-eight.