137968037008256
137,968,037,008,256 is an even composite number composed of eight prime numbers multiplied together.
137968037008256 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 137968037008256:
27 × 7 × 13 × 312 × 37 × 43 × 61 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 31 × 31 × 37 × 43 × 61 × 127)See below for interesting mathematical facts about the number 137968037008256 from the Numbermatics database.
Names of 137968037008256
- Cardinal: 137968037008256 can be written as One hundred thirty-seven trillion, nine hundred sixty-eight billion, thirty-seven million, eight thousand, two hundred fifty-six.
Scientific notation
- Scientific notation: 1.37968037008256 × 1014
Factors of 137968037008256
Divisors of 137968037008256
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 32 37 43 52 56 61 62 64 74 86 91 104 112 122 124 127 128 148 172 182 208 217 224 244 248 254 259 296 301 344 364 403 416 427 434 448 481 488 496 508 518 559 592 602 688 728 793 806 832 854 868 889 896 961 962 976 992 1016 1036 1118 1147 1184 1204 1333 1376 1456 1586 1591 1612 1651 1664 1708 1736 1778 1891 1922 1924 1952 1984 2032 2072 2236 2257 2294 2368 2408 2623 2666 2752 2821 2912 3172 3182 3224 3302 3367 3416 3472 3556 3782 3844 3848 3904 3913 3937 3968 4064 4144 4472 4514 4588 4699 4736 4816 5246 5332 5461 5504 5551 5642 5824 6344 6364 6448 6604 6727 6734 6832 6944 7112 7564 7688 7696 7747 7808 7826 7874 8029 8128 8288 8944 9028 9176 9331 9398 9632 10492 10664 10922 11102 11137 11284 11557 11648 12493 12688 12728 12896 13208 13237 13454 13468 13664 13888 14224 14911 15128 15376 15392 15494 15652 15748 15799 16058 16256 16576 17329 17888 18056 18352 18361 18662 18796 19264 20683 20984 21328 21844 22204 22274 22568 23114 24583 24986 25376 25456 25792 26416 26474 26908 26936 27328 27559 27776 28448 29341 29822 30256 30752 30784 30988 31304 31496 31598 32116 32893 33152 34099 34658 35557 35776 36112 36704 36722 37324 37592 38227 38528 41323 41366 41968 42656 43688 44408 44548 45136 46228 49166 49321 49972 50752 50912 51181 51584 52832 52948 53816 53872 54229 54656 55118 56896 58621 58682 59644 60512 61087 61504 61568 61976 62608 62992 63196 64232 65786 68198 69316 69967 70993 71114 71552 72224 73408 73444 74648 75184 76454 81313 82646 82732 83936 85312 87376 87451 88816 89096 90272 92456 97051 98332 98642 99944 100711 101504 101824 102362 104377 105664 105896 107632 107744 108458 110236 113792 117242 117364 119288 121024 121303 122047 122174 123008 123952 125216 125984 126392 128464 131572 136396 138632 139934 141986 142228 144448 144781 145669 146816 146888 149296 150368 152908 162626 165292 165464 167872 169291 170624 172081 174752 174902 177632 178192 180544 184912 194102 196664 197284 199888 201422 202057 203648 204724 205387 208754 211328 211792 215264 215488 216916 220472 234484 234728 238576 238693 240157 242048 242606 244094 244348 247904 248899 250432 251968 252784 256928 263144 272792 277264 279868 283972 284456 286639 288896 289261 289562 291338 293776 298592 300736 305816 325252 330584 330928 333121 335744 338582 344162 345247 349504 349804 355264 356384 358267 361088 369824 388204 393328 394568 399776 402844 404114 409448 410347 410774 417508 423584 427609 430528 430976 433832 440944 462241 468968 469456 477152 477386 480314 485212 488188 488696 489769 495808 496951 497798 500864 503936 505568 513856 526288 537199 545584 554528 559736 567944 568912 569191 573278 578522 579124 582676 587552 597184 601472 611632 641173 650504 661168 661856 666242 677164 679357 688324 690494 699008 699608 704977 710528 712768 716534 739648 762073 776408 786656 789136 799552 805688 808228 818896 820694 821548 835016 847168 854329 855218 861056 867664 881888 909571 924482 937936 938912 954304 954772 960628 970424 976376 977392 979538 991616 993902 995596 1011136 1019683 1027712 1052576 1057069 1074398 1091168 1109056 1119472 1135888 1137824 1138382 1146556 1157044 1158248 1165352 1175104 1185037 1194368 1223264 1261663 1282346 1301008 1322336 1323712 1332484 1354328 1358714 1376648 1380988 1399216 1409954 1414399 1425536 1433068 1479296 1524146 1528951 1552816 1573312 1578272 1586611 1599104 1611376 1616456 1637792 1641388 1643096 1670032 1681099 1694336 1708658 1710436 1735328 1763776 1819142 1848964 1875872 1877824 1893697 1908608 1909544 1921256 1940848 1952752 1954784 1959076 1987804 1991192 2006473 2022272 2039366 2105152 2114138 2148796 2168977 2182336 2200783 2218112 2238944 2271776 2275648 2276764 2293112 2314088 2316496 2330704 2331847 2350208 2370074 2446528 2520703 2523326 2564692 2602016 2626741 2644672 2647424 2664968 2708656 2717428 2753296 2761976 2798432 2819908 2828798 2866136 3008581 3048292 3057902 3105632 3122041 3146624 3156544 3173222 3222752 3232912 3235687 3275584 3282776 3286192 3340064 3362198 3417316 3420872 3470656 3527552 3638284 3697928 3726307 3751744 3755648 3760393 3787394 3819088 3842512 3881696 3905504 3909568 3918152 3975608 3982384 4012946 4078732 4210304 4228276 4297592 4330573 4337954 4364672 4401566 4477888 4488211 4515739 4543552 4551296 4553528 4586224 4628176 4632992 4661408 4663694 4740148 4893056 5041406 5046652 5129384 5204032 5248021 5253482 5289344 5329936 5334511 5417312 5434856 5506592 5523952 5596864 5639816 5657596 5732272 6017162 6096584 6115804 6211264 6244082 6263767 6313088 6346444 6366997 6445504 6465824 6471374 6551168 6565552 6572384 6680128 6724396 6834632 6841744 6941312 7276568 7395856 7399483 7444867 7452614 7503488 7520786 7574788 7638176 7685024 7763392 7811008 7819136 7836304 7951216 7964768 8025892 8157464 8456552 8595184 8661146 8675908 8803132 8831641 8885809 8955776 8976422 9031478 9087104 9107056 9172448 9256352 9265984 9322816 9327388 9480296 10082812 10093304 10258768 10326751 10408064 10496042 10506964 10659872 10669022 10702657 10834624 10869712 11013184 11047904 11106277 11193728 11279632 11315192 11464544 12034324 12193168 12231608 12325477 12422528 12488164 12527534 12692888 12733994 12891008 12931648 12942748 13131104 13144768 13255879 13360256 13448792 13669264 13683488 14553136 14791712 14798966 14889734 14905228 15041572 15149576 15182839 15276352 15370048 15405481 15526784 15622016 15672608 15902432 15929536 16051784 16314928 16913104 17190368 17322292 17351816 17606264 17644921 17663282 17771618 17952844 18062956 18214112 18344896 18387187 18512704 18531968 18645632 18654776 18960592 19876363 20165624 20186608 20517536 20653502 20992084 21013928 21060067 21319744 21338044 21405314 21669248 21739424 21854287 22026368 22095808 22212554 22559264 22630384 22929088 24068648 24386336 24463216 24650954 24976328 25055068 25385776 25467988 25863296 25885496 26084149 26262208 26289536 26511758 26897584 27338528 27366976 28196701 29106272 29583424 29597932 29779468 29810456 30083144 30299152 30314011 30365678 30552704 30740096 30810962 31345216 31610173 31804864 31859072 32103568 32629856 32769139 33826208 34380736 34644584 34703632 35212528 35289842 35326564 35543236 35905688 36125912 36428224 36689792 36736147 36774374 37025408 37309552 37921184 39111553 39752726 40331248 40373216 41035072 41307004 41984168 42027856 42120134 42639488 42676088 42810628 43478848 43708574 43846369 44191616 44425108 45118528 45260768 45858176 48137296 48772672 48926432 49301908 49952656 50110136 50771552 50935976 51770992 52114069 52168298 52524416 53023516 53795168 54677056 54733952 56393402 58212544 58704607 59166848 59195864 59558936 59620912 60166288 60598304 60628022 60731356 61621924 62200663 62690432 63220346 63609728 64207136 65259712 65538278 67652416 68224273 68761472 69289168 69407264 70425056 70579684 70653128 71086472 71811376 72251824 72287257 72856448 73472294 73548748 74619104 75842368 78223106 79505452 80662496 80746432 81428971 82070144 82614008 83968336 84055712 84240268 85352176 85621256 86278339 86957696 87417148 87692738 88850216 90237056 90521536 93266011 96274592 96783271 97545344 97852864 98603816 99905312 100220272 101543104 101871952 103541984 104228138 104336596 106047032 107590336 109354112 112786804 115515517 116425088 117409214 118391728 119117872 119241824 120332576 121196608 121256044 121462712 123243848 124401326 126440692 128414272 130519424 131076556 134247763 135304832 136448546 138578336 138814528 139134541 140850112 141159368 141306256 142172944 143622752 144503648 144574514 146944588 147097496 149238208 151684736 156446212 159010904 160231201 161324992 161492864 162857942 165228016 167936672 168111424 168480536 170704352 171242512 172556678 174834296 175385476 177700432 181043072 186532022 192549184 193566542 194176777 195705728 197207632 197376907 199810624 200440544 203086208 203743904 207083968 208456276 208673192 212094064 215180672 225573608 229383973 231031034 234818428 236783456 238235744 238483648 240665152 242393216 242512088 242925424 246487696 248802652 252881384 256828544 262153112 268495526 272897092 273780871 275460079 277156672 277629056 278269082 281700224 282318736 282612512 284345888 287245504 289007296 289149028 293889176 294194992 298476416 312892424 318021808 320129281 320462402 322649984 325715884 330456032 335873344 336222848 336961072 341408704 342485024 345113356 349668592 350770952 355400864 373064044 382089787 385098368 387133084 388353554 394415264 394753814 399621248 400881088 407487808 410932249 414167936 416912552 417346384 424188128 451147216 458767946 462062068 469636856 473566912 476471488 476967296 477569911 481330304 485024176 485850848 492975392 497605304 505762768 524306224 536991052 545794184 547561742 550920158 554313344 556538164 564637472 565225024 568691776 570002797 574491008 578014592 578298056 587778352 588389984 625784848 636043616 640258562 640924804 651431768 652862077 660912064 671746688 673922144 677482897 682817408 684970048 690226712 699337184 701541904 710801728 746128088 764179574 774266168 776707108 788830528 789507628 801762176 808608619 814975616 821864498 833825104 834692768 848376256 902294432 917535892 924124136 939273712 939734341 947133824 952942976 955139822 970048352 971701696 985950784 995210608 1011525536 1048612448 1073982104 1091588368 1095123484 1101840316 1113076328 1121618407 1129274944 1130450048 1137383552 1140005594 1156596112 1175556704 1176779968 1212458143 1251569696 1272087232 1280517124 1281849608 1302863536 1305724154 1321824128 1347844288 1354965794 1359237439 1369940096 1380453424 1398674368 1403083808 1421603456 1492256176 1528359148 1548532336 1553414216 1577661056 1579015256 1617217238 1643728996 1667650208 1669385536 1696752512 1804588864 1835071784 1848248272 1878547424 1879468682 1910279644 1928220553 1940096704 1943403392 1971901568 1990421216 2023051072 2097224896 2147964208 2183176736 2190246968 2203680632 2226152656 2240904967 2243236814 2258549888 2280011188 2313192224 2351113408 2353559936 2424916286 2503139392 2524298101 2544174464 2561034248 2563699216 2605727072 2611448308 2674628509 2695688576 2709931588 2718474878 2760906848 2797348736 2806167616 2984512352 3056718296 3097064672 3106828432 3158030512 3234434476 3287457992 3335300416 3338771072 3580981027 3609177728 3670143568 3696496544 3757094848 3758937364 3820559288 3856441106 3880193408 3980842432 4046102144 4161680653 4194449792 4295928416 4366353472 4380493936 4407361264 4452305312 4481809934 4486473628 4560022376 4626384448 4702226816 4849832572 4967167231 5006278784 5048596202 5122068496 5127398432 5211454144 5222896616 5349257018 5419863176 5436949756 5521813696 5612335232 5969024704 6113436592 6194129344 6213656864 6316061024 6468868952 6574915984 6670600832 7161962054 7340287136 7392993088 7514189696 7517874728 7641118576 7712882212 7961684864 8323361306 8487207001 8591856832 8732706944 8760987872 8814722528 8904610624 8963619868 8972947256 9120044752 9252768896 9699665144 9934334462 10097192404 10244136992 10254796864 10422908288 10445793232 10698514036 10839726352 10873899512 11043627392 11844783397 11938049408 12226873184 12388258688 12427313728 12632122048 12937737904 13149831968 14323924108 14680574272 14785986176 15035749456 15282237152 15425764424 16646722612 16974414002 17183713664 17521975744 17629445056 17670086707 17809221248 17927239736 17945894512 18240089504 19399330288 19868668924 20194384808 20488273984 20509593728 20891586464 21397028072 21679452704 21747799024 23689566794 24453746368 24854627456 25066867189 25264244096 25875475808 26299663936 28647848216 29131764571 29361148544 30071498912 30564474304 30851528848 33293445224 33948828004 34770170617 35043951488 35258890112 35340173414 35854479472 35891789024 36480179008 38798660576 39737337848 40388769616 40976547968 41783172928 42794056144 43358905408 43495598048 47379133588 48907492736 50133734378 51750951616 52599327872 57295696432 58263529142 60142997824 61128948608 61703057696 66586890448 67897656008 69540341234 70680346828 71708958944 71783578048 72960358016 77597321152 79474675696 80777539232 82913483779 83566345856 85588112288 86717810816 86991196096 94758267176 100267468756 103501903232 114591392864 116527058284 120285995648 123406115392 133173780896 135795312016 139080682468 141360693656 143417917888 143567156096 153982184161 155194642304 158949351392 161555078464 165826967558 171176224576 173982392192 189516534352 200534937512 229182785728 233054116568 246812230784 266347561792 271590624032 278161364936 282721387312 286835835776 307964368322 317898702784 323110156928 331653935116 342352449152 379033068704 401069875024 458365571456 466108233136 532695123584 543181248064 556322729872 565442774624 615928736644 635797405568 663307870232 758066137408 802139750048 932216466272 1077875289127 1086362496128 1112645459744 1130885549248 1231857473288 1326615740464 1516132274816 1604279500096 1864432932544 2155750578254 2225290919488 2261771098496 2463714946576 2653231480928 3208559000192 3728865865088 4311501156508 4450581838976 4927429893152 5306462961856 8623002313016 9854859786304 10612925923712 17246004626032 19709719572608 34492009252064 68984018504128 137968037008256
- Sum of all divisors σ(n): 376309674639360
- Sum of proper divisors (its aliquot sum) s(n): 238341637631104
- 137968037008256 is an abundant number, because the sum of its proper divisors (238341637631104) is greater than itself. Its abundance is 100373600622848
Bases of 137968037008256
- Binary: 111110101111011001011111101011000010011100000002
- Hexadecimal: 0x7D7B2FD61380
- Base-36: 1CWLN3077K
Squares and roots of 137968037008256
- 137968037008256 squared (1379680370082562) is 19035179235911497227012161536
- 137968037008256 cubed (1379680370082563) is 2626246313279023617913496623355037237641216
-
The
square root of 137968037008256 is 11745979.6104137691 -
The
cube root of 137968037008256 is 51672.5025167691
Scales and comparisons
How big is 137968037008256?- 137,968,037,008,256 seconds is equal to 4,386,956 years, 42 weeks, 2 days, 4 hours, 30 minutes, 56 seconds.
-
To count from 1 to 137,968,037,008,256 would take you about ten million, nine hundred sixty-seven thousand, three hundred ninety-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 137968037008256 cubic inches would be around 4306 feet tall.
Recreational maths with 137968037008256
- 137968037008256 backwards is 652800730869731
- The number of decimal digits it has is: 15
- The sum of 137968037008256's digits is 65
- More coming soon!
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"Number 137968037008256 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 137968037008256 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/137968037008256/
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The information we have on file for 137968037008256 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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