138532477024002048
138,532,477,024,002,048 is an even composite number composed of four prime numbers multiplied together.
138532477024002048 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred eighty-four divisors.
Prime factorization of 138532477024002048:
213 × 3 × 133 × 376
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 13 × 37 × 37 × 37 × 37 × 37 × 37)See below for interesting mathematical facts about the number 138532477024002048 from the Numbermatics database.
Names of 138532477024002048
- Cardinal: 138532477024002048 can be written as One hundred thirty-eight quadrillion, five hundred thirty-two trillion, four hundred seventy-seven billion, twenty-four million, two thousand and forty-eight.
Scientific notation
- Scientific notation: 1.38532477024002048 × 1017
Factors of 138532477024002048
Divisors of 138532477024002048
- Number of divisors d(n): 784
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 169 192 208 222 256 296 312 338 384 416 444 481 507 512 592 624 676 768 832 888 962 1014 1024 1184 1248 1352 1369 1443 1536 1664 1776 1924 2028 2048 2197 2368 2496 2704 2738 2886 3072 3328 3552 3848 4056 4096 4107 4394 4736 4992 5408 5476 5772 6144 6253 6591 6656 7104 7696 8112 8192 8214 8788 9472 9984 10816 10952 11544 12288 12506 13182 13312 14208 15392 16224 16428 17576 17797 18759 18944 19968 21632 21904 23088 24576 25012 26364 26624 28416 30784 32448 32856 35152 35594 37518 37888 39936 43264 43808 46176 50024 50653 52728 53248 53391 56832 61568 64896 65712 70304 71188 75036 75776 79872 81289 86528 87616 92352 100048 101306 105456 106496 106782 113664 123136 129792 131424 140608 142376 150072 151552 151959 159744 162578 173056 175232 184704 200096 202612 210912 213564 227328 231361 243867 246272 259584 262848 281216 284752 300144 303104 303918 319488 325156 346112 350464 369408 400192 405224 421824 427128 454656 462722 487734 492544 519168 525696 562432 569504 600288 607836 650312 658489 692224 694083 700928 738816 800384 810448 843648 854256 909312 925444 975468 985088 1038336 1051392 1124864 1139008 1200576 1215672 1300624 1316978 1384448 1388166 1401856 1477632 1600768 1620896 1687296 1708512 1850888 1874161 1950936 1970176 1975467 2076672 2102784 2249728 2278016 2401152 2431344 2601248 2633956 2776332 2803712 2955264 3007693 3201536 3241792 3374592 3417024 3701776 3748322 3901872 3940352 3950934 4153344 4205568 4499456 4556032 4802304 4862688 5202496 5267912 5552664 5607424 5622483 5910528 6015386 6403072 6483584 6749184 6834048 7403552 7496644 7803744 7901868 8411136 8560357 8998912 9023079 9112064 9604608 9725376 10404992 10535824 11105328 11214848 11244966 11821056 12030772 12806144 12967168 13498368 13668096 14807104 14993288 15607488 15803736 16822272 17120714 17997824 18046158 18224128 19209216 19450752 20809984 21071648 22210656 22489932 24061544 24364093 25612288 25681071 25934336 26996736 27336192 29614208 29986576 31214976 31607472 33644544 34241428 36092316 36448256 38418432 38901504 41619968 42143296 44421312 44979864 48123088 48728186 51224576 51362142 51868672 53993472 54672384 59228416 59973152 62429952 63214944 68482856 69343957 72184632 72896512 73092279 76836864 77803008 83239936 84286592 88842624 89959728 96246176 97456372 102724284 103737344 109344768 111284641 118456832 119946304 124859904 126429888 136965712 138687914 144369264 145793024 146184558 153673728 155606016 166479872 168573184 177685248 179919456 192492352 194912744 205448568 207474688 208031871 218689536 222569282 236913664 239892608 249719808 252859776 273931424 277375828 288738528 292369116 311212032 316733209 332959744 333853923 337146368 355370496 359838912 384984704 389825488 410897136 414949376 416063742 437379072 445138564 473827328 479785216 499439616 505719552 547862848 554751656 577477056 584738232 622424064 633466418 665919488 667707846 674292736 710740992 719677824 769969408 779650976 821794272 832127484 890277128 901471441 947654656 950199627 959570432 998879232 1011439104 1095725696 1109503312 1154954112 1169476464 1244848128 1266932836 1335415692 1348585472 1421481984 1439355648 1539938816 1559301952 1643588544 1664254968 1780554256 1802942882 1895309312 1900399254 1919140864 1997758464 2022878208 2191451392 2219006624 2309908224 2338952928 2533865672 2565726409 2670831384 2697170944 2704414323 2842963968 2878711296 3079877632 3118603904 3287177088 3328509936 3561108512 3605885764 3800798508 3838281728 4045756416 4117531717 4382902784 4438013248 4619816448 4677905856 5067731344 5131452818 5341662768 5394341888 5408828646 5685927936 5757422592 6159755264 6237207808 6574354176 6657019872 7122217024 7211771528 7601597016 7676563456 7697179227 8091512832 8235063434 8765805568 8876026496 9239632896 9355811712 10135462688 10262905636 10683325536 10817657292 11514845184 11719128733 12319510528 12352595151 12474415616 13148708352 13314039744 14244434048 14423543056 15203194032 15353126912 15394358454 16183025664 16470126868 17531611136 17752052992 18479265792 18711623424 20270925376 20525811272 21366651072 21635314584 23029690368 23438257466 24639021056 24705190302 24948831232 26297416704 26628079488 28488868096 28847086112 30406388064 30788716908 32940253736 33354443317 35063222272 35157386199 35504105984 36958531584 37423246848 40541850752 41051622544 42733302144 43270629168 46059380736 46876514932 49410380604 49897662464 52594833408 53256158976 56977736192 57694172224 60812776128 61577433816 65880507472 66708886634 70126444544 70314772398 71008211968 73917063168 74846493696 81083701504 82103245088 85466604288 86541258336 93753029864 98820761208 99795324928 100063329951 105189666816 106512317952 113955472384 115388344448 121625552256 123154867632 131761014944 133417773268 140629544796 142016423936 149692987392 152348673529 162167403008 164206490176 170933208576 173082516672 187506059728 197641522416 199590649856 200126659902 210379333632 213024635904 227910944768 230776688896 243251104512 246309735264 263522029888 266835546536 281259089592 284032847872 299385974784 304697347058 324334806016 328412980352 341866417152 346165033344 375012119456 395283044832 400253319804 426049271808 433607763121 455821889536 457046020587 461553377792 486502209024 492619470528 527044059776 533671093072 562518179184 568065695744 598771949568 609394694116 648669612032 656825960704 683732834304 692330066688 750024238912 790566089664 800506639608 852098543616 867215526242 911643779072 914092041174 923106755584 973004418048 985238941056 1054088119552 1067342186144 1125036358368 1218789388232 1297339224064 1300823289363 1313651921408 1367465668608 1384660133376 1500048477824 1581132179328 1601013279216 1704197087232 1734431052484 1828184082348 1846213511168 1946008836096 1970477882112 2108176239104 2134684372288 2250072716736 2437578776464 2594678448128 2601646578726 2627303842816 2734931337216 2769320266752 3000096955648 3162264358656 3202026558432 3468862104968 3656368164696 3692427022336 3892017672192 3940955764224 4216352478208 4269368744576 4500145433472 4875157552928 5203293157452 5254607685632 5538640533504 5636900920573 6000193911296 6324528717312 6404053116864 6937724209936 7312736329392 7384854044672 7784035344384 7881911528448 8432704956416 8538737489152 9000290866944 9750315105856 10406586314904 10509215371264 11077281067008 11273801841146 12000387822592 12649057434624 12808106233728 13875448419872 14625472658784 15763823056896 16865409912832 16910702761719 17077474978304 18000581733888 19500630211712 20813172629808 21018430742528 22154562134016 22547603682292 24000775645184 25298114869248 25616212467456 27750896839744 29250945317568 31527646113792 33730819825664 33821405523438 34154949956608 36001163467776 39001260423424 41626345259616 45095207364584 48001551290368 50596229738496 51232424934912 55501793679488 58501890635136 63055292227584 67642811046876 68309899913216 72002326935552 78002520846848 83252690519232 90190414729168 96003102580736 101192459476992 102464849869824 111003587358976 117003781270272 135285622093752 136619799826432 144004653871104 156005041693696 166505381038464 180380829458336 204929699739648 222007174717952 234007562540544 270571244187504 273239599652864 288009307742208 312010083387392 333010762076928 360761658916672 409859399479296 444014349435904 468015125081088 541142488375008 624020166774784 666021524153856 721523317833344 819718798958592 888028698871808 936030250162176 1082284976750016 1248040333549568 1332043048307712 1443046635666688 1776057397743616 1872060500324352 2164569953500032 2664086096615424 2886093271333376 3552114795487232 3744121000648704 4329139907000064 5328172193230848 5772186542666752 8658279814000128 10656344386461696 11544373085333504 17316559628000256 23088746170667008 34633119256000512 46177492341334016 69266238512001024 138532477024002048
- Sum of all divisors σ(n): 411282231607495920
- Sum of proper divisors (its aliquot sum) s(n): 272749754583493872
- 138532477024002048 is an abundant number, because the sum of its proper divisors (272749754583493872) is greater than itself. Its abundance is 134217277559491824
Bases of 138532477024002048
- Binary: 1111011000010101010001101110010101101111011100000000000002
- Hexadecimal: 0x1EC2A8DCADEE000
- Base-36: 11W1NXDDJ1MO
Squares and roots of 138532477024002048
- 138532477024002048 squared (1385324770240020482) is 19191247190405655325601890308194304
- 138532477024002048 cubed (1385324770240020483) is 2658611010466815303307853058873002530479022477934592
-
The
square root of 138532477024002048 is 372199512.3908708831 -
The
cube root of 138532477024002048 is 517428.7230501375 - Being both a perfect square and a perfect cube, 138532477024002048 is also a
perfect sixth number .
Scales and comparisons
How big is 138532477024002048?- 138,532,477,024,002,048 seconds is equal to 4,404,904,260 years, 14 weeks, 2 days, 18 hours, 20 minutes, 48 seconds.
-
To count from 1 to 138,532,477,024,002,048 would take you about thirteen billion, two hundred fourteen million, seven hundred twelve thousand, seven hundred eighty 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 138532477024002048 cubic inches would be around 43119.1 feet tall.
Recreational maths with 138532477024002048
- 138532477024002048 backwards is 840200420774235831
- The number of decimal digits it has is: 18
- The sum of 138532477024002048's digits is 60
- More coming soon!
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The information we have on file for 138532477024002048 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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