135384680488960
135,384,680,488,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 135384680488960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
135384680488960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 135384680488960:
213 × 5 × 72 × 29 × 71 × 1812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 29 × 71 × 181 × 181)See below for interesting mathematical facts about the number 135384680488960 from the Numbermatics database.
Names of 135384680488960
- Cardinal: 135384680488960 can be written as One hundred thirty-five trillion, three hundred eighty-four billion, six hundred eighty million, four hundred eighty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3538468048896 × 1014
Factors of 135384680488960
Divisors of 135384680488960
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 49 56 58 64 70 71 80 98 112 116 128 140 142 145 160 181 196 203 224 232 245 256 280 284 290 320 355 362 392 406 448 464 490 497 512 560 568 580 640 710 724 784 812 896 905 928 980 994 1015 1024 1120 1136 1160 1267 1280 1420 1421 1448 1568 1624 1792 1810 1856 1960 1988 2030 2048 2059 2240 2272 2320 2485 2534 2560 2840 2842 2896 3136 3248 3479 3584 3620 3712 3920 3976 4060 4096 4118 4480 4544 4640 4970 5068 5120 5249 5680 5684 5792 6272 6335 6496 6958 7105 7168 7240 7424 7840 7952 8120 8192 8236 8869 8960 9088 9280 9940 10136 10240 10295 10498 11360 11368 11584 12544 12670 12851 12992 13916 14210 14336 14413 14480 14848 15680 15904 16240 16472 17395 17738 17920 18176 18560 19880 20272 20480 20590 20996 22720 22736 23168 25088 25340 25702 25984 26245 27832 28420 28672 28826 28960 29696 31360 31808 32480 32761 32944 34790 35476 35840 36352 36743 37120 39760 40544 40960 41180 41992 44345 45440 45472 46336 50176 50680 51404 51968 52490 55664 56840 57344 57652 57920 59392 62720 63616 64255 64960 65522 65888 69580 70952 71680 72065 72704 73486 74240 79520 81088 82360 83984 88690 89957 90880 90944 92672 100352 100891 101360 102808 103936 104980 111328 113680 115304 115840 118784 125440 127232 128510 129920 131044 131776 139160 141904 143360 144130 145408 146972 148480 159040 162176 163805 164720 167968 177380 179914 181760 181888 183715 185344 200704 201782 202720 205616 207872 209960 222656 227360 229327 230608 231680 237568 250880 254464 257020 257201 259840 262088 263552 278320 283808 286720 288260 290816 293944 296960 318080 324352 327610 329440 335936 354760 359828 363520 363776 367430 370688 372679 401408 403564 405440 411232 415744 419920 445312 449785 454720 458654 461216 463360 501760 504455 508928 514040 514402 519680 524176 527104 556640 567616 576520 581632 587888 593920 629699 636160 648704 655220 658880 671872 709520 719656 727040 727552 734860 741376 745358 807128 810880 822464 831488 839840 890624 899570 909440 917308 922432 926720 950069 1003520 1008910 1017856 1028080 1028804 1039360 1048352 1054208 1113280 1135232 1146635 1153040 1175776 1187840 1259398 1272320 1286005 1297408 1310440 1317760 1343744 1419040 1439312 1454080 1455104 1469720 1482752 1490716 1605289 1614256 1621760 1644928 1662976 1679680 1781248 1799140 1818880 1834616 1844864 1853440 1863395 1900138 2007040 2017820 2035712 2056160 2057608 2078720 2096704 2108416 2226560 2270464 2293270 2306080 2326031 2351552 2518796 2544640 2572010 2594816 2608753 2620880 2635520 2687488 2838080 2878624 2908160 2910208 2939440 2981432 3148495 3210578 3228512 3243520 3289856 3359360 3562496 3598280 3637760 3669232 3689728 3706880 3726790 3800276 4035640 4071424 4112320 4115216 4157440 4193408 4216832 4453120 4540928 4586540 4612160 4652062 4703104 4750345 5037592 5089280 5144020 5189632 5217506 5241760 5271040 5374976 5676160 5757248 5820416 5878880 5962864 6296990 6421156 6457024 6487040 6579712 6650483 6718720 7124992 7196560 7275520 7338464 7379456 7413760 7453580 7600552 8026445 8071280 8224640 8230432 8314880 8386816 8433664 8906240 9081856 9173080 9224320 9304124 9406208 9500690 10075184 10178560 10288040 10379264 10435012 10483520 10542080 10749952 11352320 11514496 11630155 11640832 11757760 11925728 12593980 12842312 12914048 12974080 13043765 13159424 13300966 13437440 14249984 14393120 14551040 14676928 14758912 14907160 15201104 16052890 16142560 16282217 16449280 16460864 16773632 16867328 17812480 18163712 18261271 18346160 18448640 18608248 18812416 19001380 20150368 20357120 20576080 20870024 20967040 21084160 21499904 22704640 23028992 23260310 23515520 23851456 25187960 25684624 25828096 25948160 26087530 26318848 26601932 26874880 28499968 28786240 29102080 29353856 29517824 29814320 30402208 32105780 32285120 32564434 32898560 32921728 33252415 33547264 35624960 36327424 36522542 36692320 36897280 37216496 37624832 38002760 40300736 41152160 41740048 41934080 42168320 42999808 45409280 46057984 46520620 46553381 47031040 47702912 50375920 51369248 51656192 51896320 52175060 52637696 53203864 53749760 57572480 58204160 58707712 59035648 59628640 60804416 64211560 64570240 65128868 65797120 65843456 66504830 67094528 67454899 71249920 72654848 73045084 73384640 73794560 74432992 75249664 76005520 80601472 81411085 82304320 83480096 83868160 84336640 90818560 91306355 92115968 93041240 93106762 94062080 95405824 100751840 102738496 103312384 104350120 105275392 106407728 107499520 113975519 115144960 117415424 118071296 119257280 121608832 128423120 129140480 130257736 131594240 131686912 133009660 134189056 134909798 142499840 146090168 146769280 147589120 148865984 150499328 152011040 161202944 162822170 164608640 166960192 167736320 181637120 182612710 184231936 186082480 186213524 188124160 190811648 201503680 205476992 206624768 208700240 212815456 214999040 227951038 230289920 232766905 234830848 238514560 243217664 256846240 258280960 260515472 263188480 263373824 266019320 268378112 269819596 292180336 293538560 295178240 297731968 300998656 304022080 322405888 325644340 329217280 333920384 335472640 337274495 363274240 365225420 368463872 372164960 372427048 376248320 381623296 403007360 410953984 413249536 417400480 425630912 455902076 460579840 465533810 469661696 472184293 477029120 486435328 513692480 516561920 521030944 526376960 526747648 532038640 539639192 569877595 584360672 587077120 590356480 595463936 608044160 644811776 651288680 658434560 667840768 670945280 674548990 730450840 736927744 744329920 744854096 752496640 763246592 806014720 821907968 826499072 834800960 851261824 911804152 921159680 931067620 939323392 944368586 954058240 972870656 1027384960 1033123840 1042061888 1053495296 1064077280 1079278384 1139755190 1168721344 1174154240 1190927872 1216088320 1289623552 1302577360 1316869120 1335681536 1341890560 1349097980 1460901680 1488659840 1489708192 1504993280 1526493184 1612029440 1643815936 1669601920 1702523648 1823608304 1842319360 1862135240 1878646784 1888737172 1908116480 1945741312 2054769920 2066247680 2084123776 2106990592 2128154560 2158556768 2279510380 2337442688 2348308480 2360921465 2381855744 2432176640 2579247104 2605154720 2633738240 2671363072 2698195960 2921803360 2977319680 2979416384 3052986368 3224058880 3287631872 3305290051 3339203840 3405047296 3647216608 3684638720 3724270480 3777474344 3816232960 3891482624 4109539840 4132495360 4168247552 4256309120 4317113536 4559020760 4674885376 4696616960 4721842930 4763711488 4864353280 5158494208 5210309440 5267476480 5342726144 5396391920 5843606720 5954639360 5958832768 6448117760 6575263744 6610580102 6678407680 6810094592 7294433216 7448540960 7554948688 7632465920 7782965248 8219079680 8336495104 8512618240 8634227072 9118041520 9349770752 9393233920 9443685860 9527422976 9728706560 10420618880 10534952960 10685452288 10792783840 11687213440 11909278720 11917665536 12896235520 13150527488 13221160204 13356815360 13620189184 14588866432 14897081920 15109897376 15264931840 16438159360 16526450255 16672990208 17025236480 17268454144 18236083040 18699541504 18887371720 19054845952 19457413120 20841237760 21370904576 21585567680 23374426880 23818557440 23835331072 25792471040 26442320408 26713630720 27240378368 29177732864 29794163840 30219794752 32876318720 33052900510 33345980416 34050472960 34536908288 36472166080 37399083008 37774743440 38914826240 41682475520 43171135360 46748853760 47637114880 47670662144 52884640816 53427261440 54480756736 58355465728 59588327680 60439589504 65752637440 66105801020 66691960832 68100945920 69073816576 72944332160 74798166016 75549486880 83364951040 86342270720 93497707520 95274229760 95341324288 105769281632 106854522880 116710931456 119176655360 120879179008 132211602040 133383921664 136201891840 138147633152 145888664320 149596332032 151098973760 166729902080 172684541440 186995415040 190682648576 211538563264 233421862912 238353310720 241758358016 264423204080 272403783680 276295266304 291777328640 302197947520 333459804160 345369082880 373990830080 381365297152 423077126528 466843725824 476706621440 483516716032 528846408160 552590532608 583554657280 604395895040 666919608320 690738165760 747981660160 846154253056 933687451648 953413242880 967033432064 1057692816320 1167109314560 1208791790080 1381476331520 1692308506112 1906826485760 1934066864128 2115385632640 2334218629120 2417583580160 2762952663040 3384617012224 3868133728256 4230771265280 4668437258240 4835167160320 6769234024448 8461542530560 9670334320640 13538468048896 16923085061120 19340668641280 27076936097792 33846170122240 67692340244480 135384680488960
- Sum of all divisors σ(n): 398691002443680
- Sum of proper divisors (its aliquot sum) s(n): 263306321954720
- 135384680488960 is an abundant number, because the sum of its proper divisors (263306321954720) is greater than itself. Its abundance is 127921641465760
Bases of 135384680488960
- Binary: 111101100100001101100111100100111100000000000002
- Hexadecimal: 0x7B21B3C9E000
- Base-36: 1BZMV38FLS
Squares and roots of 135384680488960
- 135384680488960 squared (1353846804889602) is 18329011711097786504681881600
- 135384680488960 cubed (1353846804889603) is 2481467394185379840903048731543140827136000
-
The
square root of 135384680488960 is 11635492.2753169323 -
The
cube root of 135384680488960 is 51347.9577024281
Scales and comparisons
How big is 135384680488960?- 135,384,680,488,960 seconds is equal to 4,304,814 years, 3 weeks, 3 days, 11 hours, 22 minutes, 40 seconds.
-
To count from 1 to 135,384,680,488,960 would take you about ten million, seven hundred sixty-two thousand and thirty-five 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 135384680488960 cubic inches would be around 4279 feet tall.
Recreational maths with 135384680488960
- 135384680488960 backwards is 069884086483531
- The number of decimal digits it has is: 15
- The sum of 135384680488960's digits is 73
- More coming soon!
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The information we have on file for 135384680488960 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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