138678932985970131000
138,678,932,985,970,131,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138678932985970131000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
138678932985970131000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138678932985970131000:
23 × 33 × 53 × 473 × 36712
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 47 × 47 × 47 × 3671 × 3671)See below for interesting mathematical facts about the number 138678932985970131000 from the Numbermatics database.
Names of 138678932985970131000
- Cardinal: 138678932985970131000 can be written as One hundred thirty-eight quintillion, six hundred seventy-eight quadrillion, nine hundred thirty-two trillion, nine hundred eighty-five billion, nine hundred seventy million, one hundred thirty-one thousand.
Scientific notation
- Scientific notation: 1.38678932985970131 × 1020
Factors of 138678932985970131000
Divisors of 138678932985970131000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 47 50 54 60 72 75 90 94 100 108 120 125 135 141 150 180 188 200 216 225 235 250 270 282 300 360 375 376 423 450 470 500 540 564 600 675 705 750 846 900 940 1000 1080 1125 1128 1175 1269 1350 1410 1500 1692 1800 1880 2115 2209 2250 2350 2538 2700 2820 3000 3375 3384 3525 3671 4230 4418 4500 4700 5076 5400 5640 5875 6345 6627 6750 7050 7342 8460 8836 9000 9400 10152 10575 11013 11045 11750 12690 13254 13500 14100 14684 16920 17625 17672 18355 19881 21150 22026 22090 23500 25380 26508 27000 28200 29368 31725 33039 33135 35250 36710 39762 42300 44052 44180 47000 50760 52875 53016 55065 55225 59643 63450 66078 66270 70500 73420 79524 84600 88104 88360 91775 99117 99405 103823 105750 110130 110450 119286 126900 132156 132540 141000 146840 158625 159048 165195 165675 172537 183550 198234 198810 207646 211500 220260 220900 238572 253800 264312 265080 275325 276125 298215 311469 317250 330390 331350 345074 367100 396468 397620 415292 423000 440520 441800 458875 477144 495585 497025 517611 519115 550650 552250 596430 622938 634500 660780 662700 690148 734200 792936 795240 825975 828375 830584 862685 917750 934407 991170 994050 1035222 1038230 1101300 1104500 1192860 1245876 1269000 1321560 1325400 1376625 1380296 1491075 1552833 1557345 1651950 1656750 1725370 1835500 1868814 1982340 1988100 2070444 2076460 2202600 2209000 2385720 2477925 2485125 2491752 2588055 2595575 2753250 2803221 2982150 3105666 3114690 3303900 3313500 3450740 3671000 3737628 3964680 3976200 4129875 4140888 4152920 4313425 4658499 4672035 4955850 4970250 5176110 5191150 5506500 5606442 5964300 6211332 6229380 6607800 6627000 6901480 7455375 7475256 7764165 7786725 8109239 8259750 8626850 9316998 9344070 9911700 9940500 10352220 10382300 11013000 11212884 11928600 12389625 12422664 12458760 12940275 12977875 13476241 14016105 14910750 15528330 15573450 16218478 16519500 17253700 18633996 18688140 19823400 19881000 20704440 20764600 21567125 22425768 23292495 23360175 24327717 24779250 25880550 25955750 26952482 28032210 29821500 31056660 31146900 32436956 33039000 34507400 37267992 37376280 38820825 38933625 40428723 40546195 43134250 46584990 46720350 48655434 49558500 51761100 51911500 53904964 56064420 59643000 62113320 62293800 64701375 64873912 67381205 70080525 72983151 77641650 77867250 80857446 81092390 86268500 93169980 93440700 97310868 99117000 103522200 103823000 107809928 112128840 116462475 116800875 121286169 121638585 129402750 134762410 140161050 145966302 155283300 155734500 161714892 162184780 172537000 186339960 186881400 194104125 194621736 202143615 202730975 218949453 232924950 233601750 242572338 243277170 258805500 269524820 280322100 291932604 310566600 311469000 323429784 324369560 336906025 350402625 363858507 364915755 381134233 388208250 404287230 405461950 437898906 465849900 467203500 485144676 486554340 517611000 539049640 560644200 582312375 583865208 606430845 608192925 633383327 673812050 700805250 727717014 729831510 762268466 776416500 808574460 810923900 875797812 931699800 934407000 970289352 973108680 1010718075 1013654875 1094747265 1143402699 1164624750 1212861690 1216385850 1266766654 1347624100 1401610500 1455434028 1459663020 1524536932 1552833000 1617148920 1621847800 1684530125 1751595624 1819292535 1824578775 1900149981 1905671165 2021436150 2027309750 2189494530 2286805398 2329249500 2425723380 2432771700 2533533308 2695248200 2803221000 2910868056 2919326040 3032154225 3040964625 3049073864 3166916635 3369060250 3430208097 3638585070 3649157550 3800299962 3811342330 4042872300 4054619500 4378989060 4573610796 4658499000 4851446760 4865543400 5053590375 5067066616 5473736325 5700449943 5717013495 6064308450 6081929250 6333833270 6738120500 6860416194 7277170140 7298315100 7600599924 7622684660 8085744600 8109239000 8757978120 9096462675 9122893875 9147221592 9500749905 9528355825 10107180750 10290624291 10947472650 11400899886 11434026990 12128616900 12163858500 12667666540 13476241000 13720832388 14554340280 14596630200 15160771125 15201199848 15245369320 15834583175 17101349829 17151040485 18192925350 18245787750 19001499810 19056711650 20214361500 20581248582 21894945300 22801799772 22868053980 24257233800 24327717000 25335333080 27368681625 27441664776 28502249715 28585067475 29769016369 30321542250 31669166350 34202699658 34302080970 36385850700 36491575500 38002999620 38113423300 40428723000 41162497164 43789890600 45482313375 45603599544 45736107960 47503749525 47641779125 51453121455 54737363250 57004499430 57170134950 59538032738 60643084500 63338332700 68405399316 68604161940 72771701400 72983151000 76005999240 76226846600 79172915875 82324994328 85506749145 85755202425 89307049107 90964626750 95007499050 95283558250 102906242910 109474726500 114008998860 114340269900 119076065476 121286169000 126676665400 136810798632 137208323880 142511248575 142925337375 148845081845 158345831750 171013498290 171510404850 178614098214 181929253500 190014998100 190567116500 205812485820 218949453000 228017997720 228680539800 237518747625 238152130952 257265607275 267921147321 285022497150 285850674750 297690163690 316691663500 342026996580 343020809700 357228196428 363858507000 380029996200 381134233000 411624971640 427533745725 428776012125 446535245535 475037495250 514531214550 535842294642 570044994300 571701349500 595380327380 633383327000 684053993160 686041619400 712556242875 714456392856 744225409225 803763441963 855067491450 857552024250 893070491070 950074990500 1029062429100 1071684589284 1140089988600 1143402699000 1190760654760 1286328036375 1339605736605 1399143769343 1425112485750 1488450818450 1607526883926 1710134982900 1715104048500 1786140982140 1900149981000 2058124858200 2137668728625 2143369178568 2232676227675 2572656072750 2679211473210 2798287538686 2850224971500 2976901636900 3215053767852 3420269965800 3430208097000 3572281964280 3721127046125 4018817209815 4197431308029 4275337457250 4465352455350 5145312145500 5358422946420 5596575077372 5700449943000 5953803273800 6430107535704 6698028683025 6995718846715 7442254092250 8037634419630 8394862616058 8550674914500 8930704910700 10290624291000 10716845892840 11163381138375 11193150154744 12592293924087 13396057366050 13991437693430 14884508184500 16075268839260 16789725232116 17101349829000 17861409821400 20094086049075 20987156540145 22326762276750 25184587848174 26792114732100 27982875386860 29769016369000 32150537678520 33490143415125 33579450464232 34978594233575 37776881772261 40188172098150 41974313080290 44653524553500 50369175696348 53584229464200 55965750773720 62961469620435 66980286830250 69957188467150 75553763544522 80376344196300 83948626160580 89307049107000 100470430245375 100738351392696 104935782700725 125922939240870 133960573660500 139914376934300 151107527089044 160752688392600 167897252321160 174892971167875 188884408861305 200940860490750 209871565401450 251845878481740 267921147321000 279828753868600 302215054178088 314807348102175 349785942335750 377768817722610 401881720981500 419743130802900 503691756963480 524678913503625 629614696204350 699571884671500 755537635445220 803763441963000 839486261605800 944422044306525 1049357827007250 1259229392408700 1399143769343000 1511075270890440 1574036740510875 1888844088613050 2098715654014500 2518458784817400 3148073481021750 3777688177226100 4197431308029000 4722110221532625 6296146962043500 7555376354452200 9444220443065250 12592293924087000 18888440886130500 37776881772261000
- Sum of all divisors σ(n): 138774999346607214000
- Sum of proper divisors (its aliquot sum) s(n): 96066360637083000
- 138678932985970131000 is a deficient number, because the sum of its proper divisors (96066360637083000) is less than itself. Its deficiency is 138582866625333048000
Bases of 138678932985970131000
- Binary: 11110000100100011101000101011001100010110101111001110000000001110002
- Hexadecimal: 0x7848E8ACC5AF38038
- Base-36: T9M8AXZNJY8U0
Squares and roots of 138678932985970131000
- 138678932985970131000 squared (1386789329859701310002) is 19231846454127194474097283224157161000000
- 138678932985970131000 cubed (1386789329859701310003) is 2667051945608372489571788327915806134898390395758091000000000
-
The
square root of 138678932985970131000 is 11776201976.2727461043 -
138678932985970131000 is a
perfect cube number . Itscube root is 5176110
Scales and comparisons
How big is 138678932985970131000?- 138,678,932,985,970,131,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,678,932,985,970,131,000 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 138678932985970131000 cubic inches would be around 431342.5 feet tall.
Recreational maths with 138678932985970131000
- 138678932985970131000 backwards is 000131079589239876831
- 138678932985970131000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138678932985970131000's digits is 90
- 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 138678932985970131000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 138678932985970131000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138678932985970131000/
Chicago style:
Numbermatics. 2024. "Number 138678932985970131000 - Facts about the integer". https://numbermatics.com/n/138678932985970131000/
The information we have on file for 138678932985970131000 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 138678932985970131000, math, Factors of 138678932985970131000, curriculum, school, college, exams, university, Prime factorization of 138678932985970131000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, six hundred seventy-eight quadrillion, nine hundred thirty-two trillion, nine hundred eighty-five billion, nine hundred seventy million, one hundred thirty-one thousand.