138472380496717124032
138,472,380,496,717,124,032 is an even composite number composed of four prime numbers multiplied together.
What does the number 138472380496717124032 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 756 divisors.
138472380496717124032 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 138472380496717124032:
26 × 711 × 192 × 17412
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 19 × 19 × 1741 × 1741)See below for interesting mathematical facts about the number 138472380496717124032 from the Numbermatics database.
Names of 138472380496717124032
- Cardinal: 138472380496717124032 can be written as One hundred thirty-eight quintillion, four hundred seventy-two quadrillion, three hundred eighty trillion, four hundred ninety-six billion, seven hundred seventeen million, one hundred twenty-four thousand and thirty-two.
Scientific notation
- Scientific notation: 1.38472380496717124032 × 1020
Factors of 138472380496717124032
Divisors of 138472380496717124032
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 133 152 196 224 266 304 343 361 392 448 532 608 686 722 784 931 1064 1216 1372 1444 1568 1741 1862 2128 2401 2527 2744 2888 3136 3482 3724 4256 4802 5054 5488 5776 6517 6964 7448 8512 9604 10108 10976 11552 12187 13034 13928 14896 16807 17689 19208 20216 21952 23104 24374 26068 27856 29792 33079 33614 35378 38416 40432 45619 48748 52136 55712 59584 66158 67228 70756 76832 80864 85309 91238 97496 104272 111424 117649 123823 132316 134456 141512 153664 161728 170618 182476 194992 208544 231553 235298 247646 264632 268912 283024 319333 341236 364952 389984 417088 463106 470596 495292 529264 537824 566048 597163 628501 638666 682472 729904 779968 823543 866761 926212 941192 990584 1058528 1075648 1132096 1194326 1257002 1277332 1364944 1459808 1620871 1647086 1733522 1852424 1882384 1981168 2117056 2235331 2388652 2514004 2554664 2729888 2919616 3031081 3241742 3294172 3467044 3704848 3764768 3962336 4180141 4399507 4470662 4777304 5028008 5109328 5459776 5764801 6062162 6067327 6483484 6588344 6934088 7409696 7529536 7924672 8360282 8799014 8941324 9554608 10056016 10218656 11346097 11529602 12124324 12134654 12966968 13176688 13868176 14819392 15647317 16720564 17598028 17882648 19109216 20112032 20437312 21217567 22692194 23059204 24248648 24269308 25933936 26353376 27736352 29260987 30796549 31294634 33441128 35196056 35765296 38218432 40224064 40353607 42435134 42471289 45384388 46118408 48497296 48538616 51867872 52706752 55472704 57590539 58521974 61593098 62589268 66882256 70392112 71530592 79422679 80707214 84870268 84942578 90768776 92236816 96994592 97077232 103735744 109531219 115181078 117043948 123186196 125178536 133764512 140784224 143061184 148522969 158845358 161414428 169740536 169885156 181537552 184473632 193989184 194154464 204826909 215575843 219062438 230362156 234087896 246372392 250357072 267529024 281568448 282475249 297045938 297299023 317690716 322828856 339481072 339770312 363075104 368947264 388308928 403133773 409653818 431151686 438124876 460724312 468175792 492744784 500714144 555958753 564950498 594091876 594598046 635381432 645657712 678962144 679540624 726150208 766718533 806267546 819307636 862303372 876249752 921448624 936351584 985489568 1001428288 1039660783 1094220241 1111917506 1129900996 1188183752 1189196092 1270762864 1291315424 1357924288 1359081248 1433788363 1509030901 1533437066 1612535092 1638615272 1724606744 1752499504 1842897248 1872703168 1970979136 1977326743 2079321566 2081093161 2188440482 2223835012 2259801992 2376367504 2378392184 2541525728 2582630848 2718162496 2821936411 2867576726 3018061802 3066874132 3225070184 3277230544 3449213488 3504999008 3685794496 3891711271 3954653486 4158643132 4162186322 4376880964 4447670024 4519603984 4752735008 4756784368 5083051456 5367029731 5643872822 5735153452 6036123604 6133748264 6450140368 6554461088 6898426976 7009998016 7277625481 7659541687 7783422542 7909306972 8317286264 8324372644 8753761928 8895340048 9039207968 9505470016 9513568736 10036518541 10563216307 10734059462 11287745644 11470306904 12072247208 12267496528 12900280736 13108922176 13796853952 14555250962 14567652127 15319083374 15566845084 15818613944 16634572528 16648745288 17507523856 17790680096 18078415936 19027137472 19753554877 20073037082 21126432614 21468118924 22575491288 22940613808 24144494416 24534993056 25800561472 27241978897 29110501924 29135304254 30638166748 31133690168 31637227888 33269145056 33297490576 35015047712 35581360192 37569208117 39507109754 40146074164 42252865228 42936237848 45150982576 45881227616 48288988832 49069986112 50943378367 53616791809 54483957794 58221003848 58270608508 61276333496 62267380336 63274455776 66538290112 66594981152 70030095424 70255629787 73942514149 75138416234 79014219508 80292148328 84505730456 85872475696 90301965152 91762455232 96577977664 101886756734 101973564889 107233583618 108967915588 116442007696 116541217016 122552666992 124534760672 126548911552 133189962304 138274884139 140511259574 147885028298 150276832468 158028439016 160584296656 169011460912 171744951392 180603930304 190693852279 203773513468 203947129778 214467167236 217935831176 232884015392 233082434032 245105333984 249069521344 276549768278 281022519148 295770056596 300553664936 316056878032 321168593312 338022921824 343489902784 356603648569 375317542663 381387704558 407547026936 407894259556 428934334472 435871662352 465768030784 466164868064 490210667968 491789408509 517597599043 553099536556 562045038296 591540113192 601107329872 632113756064 642337186624 676045843648 713207297138 713814954223 750635085326 762775409116 815094053872 815788519112 857868668944 871743324704 932329736128 967924188973 983578817018 1035195198086 1106199073112 1124090076592 1183080226384 1202214659744 1264227512128 1334856965953 1426414594276 1427629908446 1501270170652 1525550818232 1630188107744 1631577038224 1715737337888 1743486649408 1935848377946 1967157634036 2070390396172 2212398146224 2248180153184 2366160452768 2404429319488 2496225539983 2627222798641 2669713931906 2852829188552 2855259816892 3002540341304 3051101636464 3260376215488 3263154076448 3431474675776 3442525859563 3623183193301 3871696755892 3934315268072 4140780792344 4424796292448 4496360306368 4732320905536 4992451079966 5254445597282 5339427863812 5705658377104 5710519633784 6005080682608 6102203272928 6526308152896 6775469322811 6885051719126 7246366386602 7743393511784 7868630536144 8281561584688 8849592584896 9343998761671 9984902159932 10508891194564 10678855727624 11411316754208 11421039267568 12010161365216 12204406545856 13550938645622 13770103438252 14492732773204 15486787023568 15737261072288 16563123169376 17473578779881 18390559590487 18687997523342 19969804319864 21017782389128 21357711455248 22822633508416 22842078535136 24020322730432 25362282353107 27101877291244 27540206876504 28985465546408 30973574047136 31474522144576 33126246338752 34947157559762 36781119180974 37375995046684 39939608639728 42035564778256 42715422910496 45684157070272 47428285259677 50724564706214 54203754582488 55080413753008 57970931092816 61947148094272 65407991331697 69894315119524 73562238361948 74751990093368 79879217279456 84071129556512 85430845820992 94856570519354 101449129412428 108407509164976 110160827506016 115941862185632 122315051459167 128733917133409 130815982663394 139788630239048 147124476723896 149503980186736 159758434558912 168142259113024 177535976471749 189713141038708 202898258824856 216815018329952 220321655012032 231883724371264 244630102918334 257467834266818 261631965326788 279577260478096 294248953447792 299007960373472 331997996817739 355071952943498 379426282077416 405796517649712 433630036659904 489260205836668 514935668533636 523263930653576 559154520956192 588497906895584 598015920746944 663995993635478 710143905886996 758852564154832 811593035299424 856205360214169 901137419933863 978520411673336 1029871337067272 1046527861307152 1118309041912384 1176995813791168 1242751835302243 1327991987270956 1420287811773992 1517705128309664 1623186070598848 1712410720428338 1802274839867726 1957040823346672 2059742674134544 2093055722614304 2323985977724173 2485503670604486 2655983974541912 2840575623547984 3035410256619328 3424821440856676 3604549679735452 3914081646693344 4119485348269088 4186111445228608 4647971955448346 4971007341208972 5311967949083824 5681151247095968 5993437521499183 6307961939537041 6849642881713352 7209099359470904 7828163293386688 8238970696538176 9295943910896692 9942014682417944 10623935898167648 11362302494191936 11986875042998366 12615923879074082 13699285763426704 14418198718941808 16267901844069211 18591887821793384 19884029364835888 21247871796335296 23973750085996732 25231847758148164 27398571526853408 28836397437883616 32535803688138422 37183775643586768 39768058729671776 44155733576759287 47947500171993464 50463695516296328 54797143053706816 57672794875767232 65071607376276844 74367551287173536 79536117459343552 88311467153518574 95895000343986928 100927391032592656 113875312908484477 130143214752553688 148735102574347072 176622934307037148 191790000687973856 201854782065185312 227750625816968954 260286429505107376 309090135037315009 353245868614074296 383580001375947712 403709564130370624 455501251633937908 520572859010214752 618180270074630018 706491737228148592 911002503267875816 1041145718020429504 1236360540149260036 1412983474456297184 1822005006535751632 2163630945261205063 2472721080298520072 2825966948912594368 3644010013071503264 4327261890522410126 4945442160597040144 7288020026143006528 8654523781044820252 9890884321194080288 17309047562089640504 19781768642388160576 34618095124179281008 69236190248358562016 138472380496717124032
- Sum of all divisors σ(n): 338532985592074681200
- Sum of proper divisors (its aliquot sum) s(n): 200060605095357557168
- 138472380496717124032 is an abundant number, because the sum of its proper divisors (200060605095357557168) is greater than itself. Its abundance is 61588224598640433136
Bases of 138472380496717124032
- Binary: 11110000001101100001011100001100111010101011000110110010001110000002
- Hexadecimal: 0x781B0B867558D91C0
- Base-36: T81QI741PY01S
Squares and roots of 138472380496717124032
- 138472380496717124032 squared (1384723804967171240322) is 19174600160427604949660373626621271937024
- 138472380496717124032 cubed (1384723804967171240323) is 2655152529287144521230377873704627806716823386952351100960768
-
The
square root of 138472380496717124032 is 11767428797.1806790973 -
The
cube root of 138472380496717124032 is 5173538.9061699281
Scales and comparisons
How big is 138472380496717124032?- 138,472,380,496,717,124,032 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,472,380,496,717,124,032 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138472380496717124032 cubic inches would be around 431128.2 feet tall.
Recreational maths with 138472380496717124032
- 138472380496717124032 backwards is 230421717694083274831
- The number of decimal digits it has is: 21
- The sum of 138472380496717124032's digits is 82
- More coming soon!
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The information we have on file for 138472380496717124032 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 138472380496717124032, math, Factors of 138472380496717124032, curriculum, school, college, exams, university, Prime factorization of 138472380496717124032, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred seventy-two quadrillion, three hundred eighty trillion, four hundred ninety-six billion, seven hundred seventeen million, one hundred twenty-four thousand and thirty-two.