138421952553816064
138,421,952,553,816,064 is an even composite number composed of five prime numbers multiplied together.
What does the number 138421952553816064 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1053 divisors.
138421952553816064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-three divisors.
Prime factorization of 138421952553816064:
212 × 72 × 192 × 1092 × 4012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 19 × 19 × 109 × 109 × 401 × 401)See below for interesting mathematical facts about the number 138421952553816064 from the Numbermatics database.
Names of 138421952553816064
- Cardinal: 138421952553816064 can be written as One hundred thirty-eight quadrillion, four hundred twenty-one trillion, nine hundred fifty-two billion, five hundred fifty-three million, eight hundred sixteen thousand and sixty-four.
Scientific notation
- Scientific notation: 1.38421952553816064 × 1017
Factors of 138421952553816064
Divisors of 138421952553816064
- Number of divisors d(n): 1053
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 109 112 128 133 152 196 218 224 256 266 304 361 392 401 436 448 512 532 608 722 763 784 802 872 896 931 1024 1064 1216 1444 1526 1568 1604 1744 1792 1862 2048 2071 2128 2432 2527 2807 2888 3052 3136 3208 3488 3584 3724 4096 4142 4256 4864 5054 5341 5614 5776 6104 6272 6416 6976 7168 7448 7619 8284 8512 9728 10108 10682 11228 11552 11881 12208 12544 12832 13952 14336 14497 14896 15238 16568 17024 17689 19456 19649 20216 21364 22456 23104 23762 24416 25088 25664 27904 28672 28994 29792 30476 33136 34048 35378 38912 39298 39349 40432 42728 43709 44912 46208 47524 48832 50176 51328 53333 55808 57988 59584 60952 66272 68096 70756 77824 78596 78698 80864 83167 85456 87418 89824 92416 95048 97664 100352 101479 102656 106666 111616 115976 119168 121904 132544 136192 141512 144761 157192 157396 160801 161728 166334 170912 174836 179648 184832 190096 195328 200704 202958 205312 213332 223232 225739 231952 238336 243808 265088 272384 275443 283024 289522 305963 314384 314792 321602 323456 332668 341824 349672 359296 369664 373331 380192 390656 405916 410624 426664 446464 451478 463904 476672 487616 530176 544768 550886 566048 579044 582169 611926 628768 629584 643204 646912 665336 683648 699344 718592 739328 746662 760384 781312 811832 821248 830471 853328 902956 927808 953344 975232 1013327 1060352 1101772 1125607 1132096 1158088 1164338 1223852 1257536 1259168 1286408 1293824 1330672 1367296 1398688 1437184 1478656 1493324 1520768 1562624 1580173 1623664 1642496 1660942 1706656 1805912 1855616 1906688 1928101 1950464 2026654 2120704 2141741 2203544 2251214 2264192 2316176 2328676 2447704 2515072 2518336 2572816 2587648 2661344 2734592 2797376 2874368 2986648 3041536 3055219 3125248 3160346 3247328 3321884 3413312 3611824 3711232 3813376 3856202 3900928 4053308 4241408 4283482 4289041 4407088 4502428 4528384 4632352 4657352 4764281 4895408 5030144 5036672 5145632 5175296 5322688 5469184 5594752 5748736 5813297 5973296 6083072 6110438 6320692 6494656 6643768 6826624 7093289 7223648 7422464 7712404 7801856 7879249 8106616 8482816 8566964 8578082 8814176 9004856 9056768 9264704 9314704 9528562 9790816 10060288 10073344 10291264 10350592 10645376 10938368 11061211 11189504 11497472 11626594 11946592 12166144 12220876 12641384 12989312 13287536 13653248 14186578 14447296 14844928 15424808 15603712 15758498 15778949 16213232 17133928 17156164 17527309 17628352 18009712 18113536 18529408 18629408 19057124 19581632 20120576 20146688 20582528 21290752 21386533 21876736 22122422 22379008 23253188 23893184 24332288 24441752 25282768 25978624 26575072 27306496 28373156 28894592 29689856 30023287 30849616 31207424 31516996 31557898 32426464 33349967 34267856 34312328 35054618 35256704 36019424 36227072 37058816 37258816 38114248 39163264 40241152 40293376 40693079 41165056 42581504 42773066 44244844 44758016 46506376 47786368 48664576 48883504 50565536 51957248 53150144 54612992 56746312 57789184 58049161 59379712 60046574 61699232 63033992 63115796 64852928 66699934 68535712 68624656 70109236 70513408 72038848 72454144 74117632 74517632 76228496 78326528 80482304 80586752 81386158 82330112 85163008 85546132 88489688 89516032 90521339 93012752 95572736 97767008 101131072 103914496 106300288 109225984 110452643 113492624 115578368 116098322 120093148 122691163 123398464 126067984 126231592 129705856 133399868 137071424 137249312 140218472 141026816 144077696 148235264 149035264 149705731 152456992 156653056 161173504 162772316 164660224 170326016 171092264 176979376 179032064 181042678 186025504 191145472 195534016 202262144 207828992 210163009 212600576 218451968 220905286 226985248 231156736 232196644 233449769 240186296 245382326 246796928 252135968 252463184 259411712 266799736 274142848 274498624 280436944 282053632 288155392 296470528 298070528 299411462 304913984 313306112 325544632 329320448 333018871 340652032 342184528 353958752 362085356 372051008 382290944 391068032 404524288 406344127 415657984 420326018 425201152 441810572 453970496 462313472 464393288 466899538 480372592 490764652 493593856 504271936 504926368 518823424 533599472 548285696 548997248 560873888 564107264 576310784 592941056 596141056 598822924 609827968 626612224 633649373 651089264 658640896 666037742 684369056 707917504 724170712 744102016 764581888 773168501 782136064 809048576 812688254 840652036 850402304 858838141 883621144 907940992 924626944 928786576 933799076 960745184 981529304 987187712 1008543872 1009852736 1037646848 1067198944 1096571392 1097994496 1121747776 1128214528 1152621568 1192282112 1197645848 1219655936 1253224448 1267298746 1302178528 1332075484 1368738112 1415835008 1448341424 1488204032 1529163776 1546337002 1564272128 1618097152 1625376508 1681304072 1700804608 1717676282 1719905441 1767242288 1815881984 1857573152 1867598152 1910476681 1921490368 1963058608 1974375424 2017087744 2019705472 2075293696 2134397888 2193142784 2195988992 2243495552 2305243136 2331132097 2384564224 2395291696 2439311872 2534597492 2604357056 2664150968 2737476224 2831670016 2844408889 2896682848 2976408064 3092674004 3128544256 3236194304 3250753016 3362608144 3401609216 3435352564 3439810882 3534484576 3631763968 3715146304 3735196304 3820953362 3842980736 3926117216 3948750848 4034175488 4039410944 4150587392 4268795776 4386285568 4391977984 4435545611 4486991104 4610486272 4662264194 4790583392 4878623744 5069194984 5208714112 5328301936 5474952448 5663340032 5688817778 5793365696 5952816128 6185348008 6257088512 6327358549 6472388608 6501506032 6725216288 6870705128 6879621764 7068969152 7263527936 7430292608 7470392608 7641906724 7685961472 7852234432 7897501696 8068350976 8078821888 8537591552 8772571136 8783955968 8871091222 8973982208 9324528388 9581166784 9757247488 10138389968 10417428224 10656603872 10949904896 11326680064 11377635556 11586731392 11905632256 12039338087 12370696016 12514177024 12654717098 13003012064 13373336767 13450432576 13741410256 13759243528 14137938304 14527055872 14860585216 14940785216 15283813448 15371922944 15704468864 16136701952 16157643776 16317924679 17075183104 17567911936 17742182444 17947964416 18649056776 19162333568 19514494976 20276779936 20834856448 21313207744 21899809792 22653360128 22755271112 23173462784 23811264512 24078676174 24741392032 25309434196 26006024128 26746673534 26900865152 27482820512 27518487056 28275876608 29054111744 29721170432 29881570432 30567626896 30743845888 31408937728 32273403904 32315287552 32635849358 34150366208 35484364888 35895928832 36299056939 37298113552 38324667136 40553559872 41669712896 42626415488 43799619584 44291509843 45306720256 45510542224 46346925568 48157352348 49482784064 50618868392 52012048256 53493347068 53801730304 54965641024 55036974112 56551753216 59442340864 59763140864 61135253792 61487691776 62817875456 64630575104 65271698716 68300732416 70968729776 71791857664 72598113878 74596227104 76649334272 81107119744 83339425792 84275366609 85252830976 87599239168 88583019686 91021084448 92693851136 93613357369 96314704696 98965568128 101237736784 104024096512 106986694136 107603460608 109931282048 110073948224 113103506432 118884681728 119526281728 122270507584 122975383552 125635750912 130543397432 136601464832 141937459552 145196227756 149192454208 153298668544 162214239488 166678851584 168550733218 170505661952 177166039372 182042168896 185387702272 187226714738 192629409392 197931136256 202475473568 208048193024 213973388272 215206921216 219862564096 220147896448 226207012864 237769363456 239052563456 244541015168 251271501824 254093398573 261086794864 283874919104 290392455512 298384908416 306597337088 310040568901 324428478976 337101466436 341011323904 354332078744 364084337792 370775404544 374453429476 385258818784 395862272512 404950947136 416096386048 427946776544 430413842432 439725128192 440295792896 452414025728 478105126912 489082030336 502543003648 508186797146 522173589728 567749838208 580784911024 596769816832 613194674176 620081137802 648856957952 674202932872 682022647808 689682081841 708664157488 728168675584 748906858952 770517637568 791724545024 809901894272 832192772096 855893553088 860827684864 879450256384 880591585792 956210253824 978164060672 1016373594292 1044347179456 1135499676416 1161569822048 1193539633664 1240162275604 1297713915904 1348405865744 1364045295616 1379364163682 1417328314976 1456337351168 1497813717904 1541035275136 1583449090048 1619803788544 1664385544192 1711787106176 1758900512768 1761183171584 1778653790011 1956328121344 2032747188584 2088694358912 2270999352832 2323139644096 2387079267328 2480324551208 2595427831808 2696811731488 2758728327364 2834656629952 2912674702336 2995627435808 3082070550272 3166898180096 3239607577088 3423574212352 3517801025536 3522366343168 3557307580022 3912656242688 4065494377168 4177388717824 4541998705664 4646279288192 4774158534656 4827774572887 4960649102416 5393623462976 5517456654728 5669313259904 5825349404672 5991254871616 6164141100544 6479215154176 6847148424704 7044732686336 7114615160044 7825312485376 8130988754336 8354777435648 9083997411328 9292558576384 9548317069312 9655549145774 9921298204832 10787246925952 11034913309456 11338626519808 11650698809344 11982509743232 12328282201088 12958430308352 13694296849408 14229230320088 16261977508672 16709554871296 18167994822656 18585117152768 19311098291548 19842596409664 21574493851904 22069826618912 22677253039616 23965019486464 24656564402176 25916860616704 27388593698816 28458460640176 32523955017344 33419109742592 33794422010209 37170234305536 38622196583096 39685192819328 43148987703808 44139653237824 45354506079232 47930038972928 49313128804352 54777187397632 56916921280352 65047910034688 66838219485184 67588844020418 74340468611072 77244393166192 79370385638656 86297975407616 88279306475648 90709012158464 95860077945856 113833842560704 130095820069376 135177688040836 148680937222144 154488786332384 158740771277312 172595950815232 176558612951296 181418024316928 191720155891712 227667685121408 260191640138752 270355376081672 308977572664768 317481542554624 345191901630464 353117225902592 383440311783424 455335370242816 520383280277504 540710752163344 617955145329536 634963085109248 706234451805184 910670740485632 1040766560555008 1081421504326688 1235910290659072 1269926170218496 1412468903610368 1821341480971264 2162843008653376 2471820581318144 2824937807220736 3642682961942528 4325686017306752 4943641162636288 7285365923885056 8651372034613504 9887282325272576 17302744069227008 19774564650545152 34605488138454016 69210976276908032 138421952553816064
- Sum of all divisors σ(n): 343847032065717831
- Sum of proper divisors (its aliquot sum) s(n): 205425079511901767
- 138421952553816064 is an abundant number, because the sum of its proper divisors (205425079511901767) is greater than itself. Its abundance is 67003126958085703
Bases of 138421952553816064
- Binary: 1111010111100011000001000010011110001011000010000000000002
- Hexadecimal: 0x1EBC6084F161000
- Base-36: 11UYHJ4PMY9S
Squares and roots of 138421952553816064
- 138421952553816064 squared (1384219525538160642) is 19160636948810905562386088744452096
- 138421952553816064 cubed (1384219525538160643) is 2652252778629198165556565380488658415618553643270144
-
138421952553816064 is a
perfect square number . Itssquare root is 372051008 -
The
cube root of 138421952553816064 is 517291.0808350311
Scales and comparisons
How big is 138421952553816064?- 138,421,952,553,816,064 seconds is equal to 4,401,389,923 years, 51 weeks, 6 days, 20 hours, 1 minute, 4 seconds.
-
To count from 1 to 138,421,952,553,816,064 would take you about thirteen billion, two hundred four million, one hundred sixty-nine thousand, seven hundred seventy-one 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 138421952553816064 cubic inches would be around 43107.6 feet tall.
Recreational maths with 138421952553816064
- 138421952553816064 backwards is 460618355259124831
- The number of decimal digits it has is: 18
- The sum of 138421952553816064's digits is 73
- More coming soon!
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The information we have on file for 138421952553816064 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 138421952553816064, math, Factors of 138421952553816064, curriculum, school, college, exams, university, Prime factorization of 138421952553816064, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred twenty-one trillion, nine hundred fifty-two billion, five hundred fifty-three million, eight hundred sixteen thousand and sixty-four.