138727735248814080
138,727,735,248,814,080 is an even composite number composed of five prime numbers multiplied together.
What does the number 138727735248814080 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138727735248814080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138727735248814080:
226 × 3 × 5 × 973 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 97 × 97 × 97 × 151)See below for interesting mathematical facts about the number 138727735248814080 from the Numbermatics database.
Names of 138727735248814080
- Cardinal: 138727735248814080 can be written as One hundred thirty-eight quadrillion, seven hundred twenty-seven trillion, seven hundred thirty-five billion, two hundred forty-eight million, eight hundred fourteen thousand and eighty.
Scientific notation
- Scientific notation: 1.3872773524881408 × 1017
Factors of 138727735248814080
Divisors of 138727735248814080
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 128 151 160 192 194 240 256 291 302 320 384 388 453 480 485 512 582 604 640 755 768 776 906 960 970 1024 1164 1208 1280 1455 1510 1536 1552 1812 1920 1940 2048 2265 2328 2416 2560 2910 3020 3072 3104 3624 3840 3880 4096 4530 4656 4832 5120 5820 6040 6144 6208 7248 7680 7760 8192 9060 9312 9409 9664 10240 11640 12080 12288 12416 14496 14647 15360 15520 16384 18120 18624 18818 19328 20480 23280 24160 24576 24832 28227 28992 29294 30720 31040 32768 36240 37248 37636 38656 40960 43941 46560 47045 48320 49152 49664 56454 57984 58588 61440 62080 65536 72480 73235 74496 75272 77312 81920 87882 93120 94090 96640 98304 99328 112908 115968 117176 122880 124160 131072 141135 144960 146470 148992 150544 154624 163840 175764 186240 188180 193280 196608 198656 219705 225816 231936 234352 245760 248320 262144 282270 289920 292940 297984 301088 309248 327680 351528 372480 376360 386560 393216 397312 439410 451632 463872 468704 491520 496640 524288 564540 579840 585880 595968 602176 618496 655360 703056 744960 752720 773120 786432 794624 878820 903264 912673 927744 937408 983040 993280 1048576 1129080 1159680 1171760 1191936 1204352 1236992 1310720 1406112 1420759 1489920 1505440 1546240 1572864 1589248 1757640 1806528 1825346 1855488 1874816 1966080 1986560 2097152 2258160 2319360 2343520 2383872 2408704 2473984 2621440 2738019 2812224 2841518 2979840 3010880 3092480 3145728 3178496 3515280 3613056 3650692 3710976 3749632 3932160 3973120 4194304 4262277 4516320 4563365 4638720 4687040 4767744 4817408 4947968 5242880 5476038 5624448 5683036 5959680 6021760 6184960 6291456 6356992 7030560 7103795 7226112 7301384 7421952 7499264 7864320 7946240 8388608 8524554 9032640 9126730 9277440 9374080 9535488 9634816 9895936 10485760 10952076 11248896 11366072 11919360 12043520 12369920 12582912 12713984 13690095 14061120 14207590 14452224 14602768 14843904 14998528 15728640 15892480 16777216 17049108 18065280 18253460 18554880 18748160 19070976 19269632 19791872 20971520 21311385 21904152 22497792 22732144 23838720 24087040 24739840 25165824 25427968 27380190 28122240 28415180 28904448 29205536 29687808 29997056 31457280 31784960 33554432 34098216 36130560 36506920 37109760 37496320 38141952 38539264 39583744 41943040 42622770 43808304 44995584 45464288 47677440 48174080 49479680 50331648 50855936 54760380 56244480 56830360 57808896 58411072 59375616 59994112 62914560 63569920 67108864 68196432 72261120 73013840 74219520 74992640 76283904 77078528 79167488 83886080 85245540 87616608 89991168 90928576 95354880 96348160 98959360 100663296 101711872 109520760 112488960 113660720 115617792 116822144 118751232 119988224 125829120 127139840 136392864 137813623 144522240 146027680 148439040 149985280 152567808 154157056 158334976 167772160 170491080 175233216 179982336 181857152 190709760 192696320 197918720 201326592 203423744 219041520 224977920 227321440 231235584 233644288 237502464 239976448 251658240 254279680 272785728 275627246 289044480 292055360 296878080 299970560 305135616 308314112 316669952 335544320 340982160 350466432 359964672 363714304 381419520 385392640 395837440 406847488 413440869 438083040 449955840 454642880 462471168 467288576 475004928 479952896 503316480 508559360 545571456 551254492 578088960 584110720 593756160 599941120 610271232 616628224 633339904 681964320 689068115 700932864 719929344 727428608 762839040 770785280 791674880 813694976 826881738 876166080 899911680 909285760 924942336 934577152 950009856 959905792 1006632960 1017118720 1091142912 1102508984 1156177920 1168221440 1187512320 1199882240 1220542464 1233256448 1266679808 1363928640 1378136230 1401865728 1439858688 1454857216 1525678080 1541570560 1583349760 1627389952 1653763476 1752332160 1799823360 1818571520 1849884672 1869154304 1900019712 1919811584 2034237440 2067204345 2182285824 2205017968 2312355840 2336442880 2375024640 2399764480 2441084928 2466512896 2533359616 2727857280 2756272460 2803731456 2879717376 2909714432 3051356160 3083141120 3166699520 3254779904 3307526952 3504664320 3599646720 3637143040 3699769344 3738308608 3800039424 3839623168 4068474880 4134408690 4364571648 4410035936 4624711680 4672885760 4750049280 4799528960 4882169856 4933025792 5066719232 5455714560 5512544920 5607462912 5759434752 5819428864 6102712320 6166282240 6333399040 6509559808 6615053904 7009328640 7199293440 7274286080 7399538688 7476617216 7600078848 7679246336 8136949760 8268817380 8729143296 8820071872 9249423360 9345771520 9500098560 9599057920 9764339712 9866051584 10133438464 10911429120 11025089840 11214925824 11518869504 11638857728 12205424640 12332564480 12666798080 13230107808 14018657280 14398586880 14548572160 14799077376 14953234432 15200157696 15358492672 16273899520 16537634760 17458286592 17640143744 18498846720 18691543040 19000197120 19198115840 19528679424 19732103168 21822858240 22050179680 22429851648 23037739008 23277715456 24410849280 24665128960 25333596160 26460215616 28037314560 28797173760 29097144320 29598154752 29906468864 30400315392 30716985344 32547799040 33075269520 34916573184 35280287488 36997693440 37383086080 38000394240 38396231680 39464206336 43645716480 44100359360 44859703296 46075478016 46555430912 48821698560 49330257920 50667192320 52920431232 56074629120 57594347520 58194288640 59196309504 59812937728 61433970688 66150539040 69833146368 70560574976 73995386880 74766172160 76000788480 76792463360 78928412672 87291432960 88200718720 89719406592 92150956032 93110861824 97643397120 98660515840 105840862464 112149258240 115188695040 116388577280 118392619008 119625875456 122867941376 132301078080 139666292736 141121149952 147990773760 149532344320 152001576960 153584926720 157856825344 174582865920 176401437440 179438813184 184301912064 186221723648 197321031680 211681724928 224298516480 230377390080 232777154560 236785238016 239251750912 245735882752 264602156160 279332585472 282242299904 295981547520 299064688640 307169853440 315713650688 349165731840 352802874880 358877626368 368603824128 372443447296 394642063360 423363449856 448597032960 460754780160 465554309120 473570476032 478503501824 491471765504 529204312320 558665170944 564484599808 591963095040 598129377280 614339706880 631427301376 698331463680 705605749760 717755252736 737207648256 744886894592 789284126720 846726899712 897194065920 921509560320 931108618240 947140952064 957007003648 982943531008 1058408624640 1117330341888 1128969199616 1183926190080 1196258754560 1228679413760 1396662927360 1411211499520 1435510505472 1474415296512 1489773789184 1578568253440 1693453799424 1794388131840 1843019120640 1862217236480 1894281904128 1914014007296 2116817249280 2234660683776 2257938399232 2367852380160 2392517509120 2457358827520 2793325854720 2822422999040 2871021010944 2948830593024 2979547578368 3157136506880 3386907598848 3588776263680 3686038241280 3724434472960 3828028014592 4233634498560 4469321367552 4515876798464 4735704760320 4785035018240 4914717655040 5586651709440 5644845998080 5742042021888 5959095156736 6773815197696 7177552527360 7372076482560 7448868945920 7656056029184 8467268997120 8938642735104 9031753596928 9471409520640 9570070036480 11173303418880 11289691996160 11484084043776 11918190313472 13547630395392 14355105054720 14744152965120 14897737891840 15312112058368 16934537994240 17877285470208 18063507193856 19140140072960 22346606837760 22579383992320 22968168087552 23836380626944 27095260790784 28710210109440 29795475783680 30624224116736 33869075988480 35754570940416 36127014387712 38280280145920 44693213675520 45158767984640 45936336175104 47672761253888 54190521581568 57420420218880 59590951567360 61248448233472 67738151976960 71509141880832 72254028775424 76560560291840 89386427351040 90317535969280 91872672350208 95345522507776 108381043163136 114840840437760 119181903134720 135476303953920 143018283761664 144508057550848 153121120583680 178772854702080 180635071938560 183745344700416 216762086326272 229681680875520 238363806269440 270952607907840 286036567523328 289016115101696 306242241167360 357545709404160 361270143877120 433524172652544 459363361751040 476727612538880 541905215815680 578032230203392 715091418808320 722540287754240 867048345305088 918726723502080 1083810431631360 1156064460406784 1430182837616640 1445080575508480 1734096690610176 2167620863262720 2312128920813568 2890161151016960 3468193381220352 4335241726525440 4624257841627136 5780322302033920 6936386762440704 8670483453050880 9248515683254272 11560644604067840 13872773524881408 17340966906101760 23121289208135680 27745547049762816 34681933812203520 46242578416271360 69363867624407040 138727735248814080
- Sum of all divisors σ(n): 451523551912769280
- Sum of proper divisors (its aliquot sum) s(n): 312795816663955200
- 138727735248814080 is an abundant number, because the sum of its proper divisors (312795816663955200) is greater than itself. Its abundance is 174068081415141120
Bases of 138727735248814080
- Binary: 1111011001101110000100011111001000000000000000000000000002
- Hexadecimal: 0x1ECDC23E4000000
- Base-36: 11XYVLRF5WQO
Squares and roots of 138727735248814080
- 138727735248814080 squared (1387277352488140802) is 19245384527265052570926046406246400
- 138727735248814080 cubed (1387277352488140803) is 2669868609460049133218186242030051908511504269312000
-
The
square root of 138727735248814080 is 372461723.1995981625 -
The
cube root of 138727735248814080 is 517671.7100755961
Scales and comparisons
How big is 138727735248814080?- 138,727,735,248,814,080 seconds is equal to 4,411,112,867 years, 44 weeks, 2 days, 7 hours, 28 minutes.
-
To count from 1 to 138,727,735,248,814,080 would take you about thirteen billion, two hundred thirty-three million, three hundred thirty-eight thousand, six hundred three 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 138727735248814080 cubic inches would be around 43139.3 feet tall.
Recreational maths with 138727735248814080
- 138727735248814080 backwards is 080418842537727831
- The number of decimal digits it has is: 18
- The sum of 138727735248814080's digits is 78
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138727735248814080 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 138727735248814080 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138727735248814080/
Chicago style:
Numbermatics. 2024. "Number 138727735248814080 - Facts about the integer". https://numbermatics.com/n/138727735248814080/
The information we have on file for 138727735248814080 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 138727735248814080, math, Factors of 138727735248814080, curriculum, school, college, exams, university, Prime factorization of 138727735248814080, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred twenty-seven trillion, seven hundred thirty-five billion, two hundred forty-eight million, eight hundred fourteen thousand and eighty.