138121324496283648
138,121,324,496,283,648 is an even composite number composed of four prime numbers multiplied together.
What does the number 138121324496283648 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 672 divisors.
138121324496283648 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138121324496283648:
211 × 3 × 136 × 1673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 13 × 13 × 13 × 13 × 167 × 167 × 167)See below for interesting mathematical facts about the number 138121324496283648 from the Numbermatics database.
Names of 138121324496283648
- Cardinal: 138121324496283648 can be written as One hundred thirty-eight quadrillion, one hundred twenty-one trillion, three hundred twenty-four billion, four hundred ninety-six million, two hundred eighty-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.38121324496283648 × 1017
Factors of 138121324496283648
Divisors of 138121324496283648
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 167 169 192 208 256 312 334 338 384 416 501 507 512 624 668 676 768 832 1002 1014 1024 1248 1336 1352 1536 1664 2004 2028 2048 2171 2197 2496 2672 2704 3072 3328 4008 4056 4342 4394 4992 5344 5408 6144 6513 6591 6656 8016 8112 8684 8788 9984 10688 10816 13026 13182 13312 16032 16224 17368 17576 19968 21376 21632 26052 26364 26624 27889 28223 28561 32064 32448 34736 35152 39936 42752 43264 52104 52728 55778 56446 57122 64128 64896 69472 70304 79872 83667 84669 85504 85683 86528 104208 105456 111556 112892 114244 128256 129792 138944 140608 167334 169338 171008 171366 173056 208416 210912 223112 225784 228488 256512 259584 277888 281216 334668 338676 342016 342732 346112 362557 366899 371293 416832 421824 446224 451568 456976 513024 519168 555776 562432 669336 677352 685464 725114 733798 742586 833664 843648 892448 903136 913952 1026048 1038336 1087671 1100697 1111552 1113879 1124864 1338672 1354704 1370928 1450228 1467596 1485172 1667328 1687296 1784896 1806272 1827904 2175342 2201394 2223104 2227758 2249728 2677344 2709408 2741856 2900456 2935192 2970344 3334656 3374592 3569792 3612544 3655808 4350684 4402788 4446208 4455516 4499456 4657463 4713241 4769687 4826809 5354688 5418816 5483712 5800912 5870384 5940688 6669312 6749184 7139584 7225088 7311616 8701368 8805576 8911032 9314926 9426482 9539374 9653618 10709376 10837632 10967424 11601824 11740768 11881376 13338624 13498368 13972389 14139723 14279168 14309061 14450176 14480427 14623232 17402736 17611152 17822064 18629852 18852964 19078748 19307236 21418752 21675264 21934848 23203648 23481536 23762752 27944778 28279446 28558336 28618122 28900352 28960854 29246464 34805472 35222304 35644128 37259704 37705928 38157496 38614472 42837504 43350528 43869696 46407296 46963072 47525504 55889556 56558892 57116672 57236244 57800704 57921708 58492928 60547019 61272133 62005931 69610944 70444608 71288256 74519408 75411856 76314992 77228944 85675008 86701056 87739392 92814592 93926144 95051008 111779112 113117784 114472488 115843416 121094038 122544266 124011862 139221888 140889216 142576512 149038816 150823712 152629984 154457888 171350016 173402112 175478784 181641057 183816399 185629184 186017793 187852288 190102016 223558224 226235568 228944976 231686832 242188076 245088532 248023724 278443776 281778432 285153024 298077632 301647424 305259968 308915776 363282114 367632798 371258368 372035586 375704576 380204032 447116448 452471136 457889952 463373664 484376152 490177064 496047448 556887552 563556864 570306048 596155264 603294848 610519936 617831552 726564228 735265596 742516736 744071172 751409152 760408064 787111247 796537729 806077103 894232896 904942272 915779904 926747328 968752304 980354128 992094896 1113775104 1127113728 1140612096 1192310528 1206589696 1221039872 1235663104 1453128456 1470531192 1488142344 1574222494 1593075458 1612154206 1788465792 1809884544 1831559808 1853494656 1937504608 1960708256 1984189792 2227550208 2254227456 2281224192 2361333741 2384621056 2389613187 2413179392 2418231309 2442079744 2471326208 2906256912 2941062384 2976284688 3148444988 3186150916 3224308412 3576931584 3619769088 3663119616 3706989312 3875009216 3921416512 3968379584 4722667482 4769242112 4779226374 4826358784 4836462618 4884159488 4942652416 5812513824 5882124768 5952569376 6296889976 6372301832 6448616824 7153863168 7239538176 7326239232 7413978624 7750018432 7842833024 7936759168 9445334964 9538484224 9558452748 9652717568 9672925236 9768318976 9885304832 10232446211 10354990477 11625027648 11764249536 11905138752 12593779952 12744603664 12897233648 14307726336 14479076352 14652478464 14827957248 15500036864 15685666048 15873518336 18890669928 19116905496 19345850472 20464892422 20709980954 23250055296 23528499072 23810277504 25187559904 25489207328 25794467296 28615452672 28958152704 29304956928 29655914496 30697338633 31000073728 31064971431 31371332096 31747036672 37781339856 38233810992 38691700944 40929784844 41419961908 46500110592 47056998144 47620555008 50375119808 50978414656 51588934592 61394677266 62000147456 62129942862 62742664192 63494073344 75562679712 76467621984 77383401888 81859569688 82839923816 93000221184 94113996288 95241110016 100750239616 101956829312 103177869184 122789354532 124000294912 124259885724 125485328384 126988146688 133021800743 134614876201 151125359424 152935243968 154766803776 163719139376 165679847632 186000442368 188227992576 190482220032 201500479232 203913658624 206355738368 245578709064 248519771448 266043601486 269229752402 302250718848 305870487936 309533607552 327438278752 331359695264 372000884736 376455985152 380964440064 399065402229 403000958464 403844628603 407827317248 412711476736 491157418128 497039542896 532087202972 538459504804 604501437696 611740975872 619067215104 654876557504 662719390528 798130804458 806001916928 807689257206 815654634496 825422953472 982314836256 994079085792 1064174405944 1076919009608 1209002875392 1223481951744 1238134430208 1309753115008 1325438781056 1596261608916 1612003833856 1615378514412 1631309268992 1650845906944 1729283409659 1964629672512 1988158171584 2128348811888 2153838019216 2418005750784 2446963903488 2476268860416 2619506230016 2650877562112 3192523217832 3230757028824 3458566819318 3929259345024 3976316343168 4256697623776 4307676038432 4836011501568 4893927806976 4952537720832 5187850228977 5239012460032 5301755124224 6385046435664 6461514057648 6917133638636 7858518690048 7952632686336 8513395247552 8615352076864 10375700457954 10478024920064 10603510248448 12770092871328 12923028115296 13834267277272 15717037380096 15905265372672 17026790495104 17230704153728 20751400915908 20956049840128 21207020496896 22480684325567 25540185742656 25846056230592 27668534554544 31434074760192 31810530745344 34053580990208 34461408307456 41502801831816 44961368651134 51080371485312 51692112461184 55337069109088 62868149520384 63621061490688 67442052976701 68107161980416 68922816614912 83005603663632 89922737302268 102160742970624 103384224922368 110674138218176 134884105953402 136214323960832 137845633229824 166011207327264 179845474604536 204321485941248 206768449844736 221348276436352 269768211906804 272428647921664 275691266459648 332022414654528 359690949209072 408642971882496 413536899689472 442696552872704 539536423813608 664044829309056 719381898418144 817285943764992 827073799378944 885393105745408 1079072847627216 1328089658618112 1438763796836288 1770786211490816 2158145695254432 2656179317236224 2877527593672576 3541572422981632 4316291390508864 5312358634472448 5755055187345152 8632582781017728 10624717268944896 11510110374690304 17265165562035456 23020220749380608 34530331124070912 46040441498761216 69060662248141824 138121324496283648
- Sum of all divisors σ(n): 401322867429556800
- Sum of proper divisors (its aliquot sum) s(n): 263201542933273152
- 138121324496283648 is an abundant number, because the sum of its proper divisors (263201542933273152) is greater than itself. Its abundance is 125080218436989504
Bases of 138121324496283648
- Binary: 1111010101011010010011100111000101000000111101000000000002
- Hexadecimal: 0x1EAB49CE281E800
- Base-36: 11RZX8IA639C
Squares and roots of 138121324496283648
- 138121324496283648 squared (1381213244962836482) is 19077500280607685328917363272187904
- 138121324496283648 cubed (1381213244962836483) is 2635009606835756456186447433614754612527525938593792
-
The
square root of 138121324496283648 is 371646773.8273583453 -
The
cube root of 138121324496283648 is 516916.3210813229
Scales and comparisons
How big is 138121324496283648?- 138,121,324,496,283,648 seconds is equal to 4,391,830,881 years, 35 weeks, 5 hours, 48 seconds.
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To count from 1 to 138,121,324,496,283,648 would take you about thirteen billion, one hundred seventy-five million, four hundred ninety-two thousand, six hundred forty-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 138121324496283648 cubic inches would be around 43076.4 feet tall.
Recreational maths with 138121324496283648
- 138121324496283648 backwards is 846382694423121831
- The number of decimal digits it has is: 18
- The sum of 138121324496283648's digits is 75
- More coming soon!
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The information we have on file for 138121324496283648 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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