138321675778457600
138,321,675,778,457,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 138321675778457600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2754 divisors.
138321675778457600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred fifty-four divisors.
Prime factorization of 138321675778457600:
216 × 52 × 11 × 132 × 232 × 2932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 13 × 23 × 23 × 293 × 293)See below for interesting mathematical facts about the number 138321675778457600 from the Numbermatics database.
Names of 138321675778457600
- Cardinal: 138321675778457600 can be written as One hundred thirty-eight quadrillion, three hundred twenty-one trillion, six hundred seventy-five billion, seven hundred seventy-eight million, four hundred fifty-seven thousand, six hundred.
Scientific notation
- Scientific notation: 1.383216757784576 × 1017
Factors of 138321675778457600
Divisors of 138321675778457600
- Number of divisors d(n): 2754
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 23 25 26 32 40 44 46 50 52 55 64 65 80 88 92 100 104 110 115 128 130 143 160 169 176 184 200 208 220 230 253 256 260 275 286 293 299 320 325 338 352 368 400 416 440 460 506 512 520 529 550 572 575 586 598 640 650 676 704 715 736 800 832 845 880 920 1012 1024 1040 1058 1100 1144 1150 1172 1196 1265 1280 1300 1352 1408 1430 1465 1472 1495 1600 1664 1690 1760 1840 1859 2024 2048 2080 2116 2200 2288 2300 2344 2392 2530 2560 2600 2645 2704 2816 2860 2930 2944 2990 3200 3223 3289 3328 3380 3520 3575 3680 3718 3809 3887 4048 4096 4160 4225 4232 4400 4576 4600 4688 4784 5060 5120 5200 5290 5408 5632 5720 5819 5860 5888 5980 6325 6400 6446 6578 6656 6739 6760 6877 7040 7150 7325 7360 7436 7475 7618 7774 8096 8192 8320 8450 8464 8800 9152 9200 9295 9376 9568 10120 10240 10400 10580 10816 11264 11440 11638 11720 11776 11960 12650 12800 12892 13156 13225 13312 13478 13520 13754 14080 14300 14650 14720 14872 14950 15236 15548 16115 16192 16384 16445 16640 16900 16928 17600 18304 18400 18590 18752 19045 19136 19435 20240 20480 20800 21160 21632 22528 22880 23276 23440 23552 23920 25300 25600 25784 26312 26450 26624 26956 27040 27508 28160 28600 29095 29300 29440 29744 29900 30472 31096 32230 32384 32768 32890 33280 33695 33800 33856 34385 35200 36608 36800 37180 37504 38090 38272 38870 40480 40960 41600 41899 42320 42757 43264 45056 45760 46475 46552 46880 47104 47840 49517 50600 51200 51568 52624 52900 53248 53912 54080 55016 56320 57200 58190 58600 58880 59488 59800 60944 62192 64460 64768 65536 65780 66560 67390 67600 67712 68770 70400 73216 73600 74129 74360 75008 75647 76180 76544 77740 80575 80960 81920 82225 83200 83798 84640 85514 85849 86528 87607 89401 90112 91520 92950 93104 93760 94208 95225 95680 97175 99034 101200 102400 103136 105248 105800 106496 107824 108160 110032 112640 114400 116380 117200 117760 118976 119600 121888 124384 128920 129536 131560 133120 134780 135200 135424 137540 140800 145475 146432 147200 148258 148720 150016 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365703004160 367064569300 368818461440 371417113600 372032479232 373191802880 377845486720 383749322450 386801254400 394722099200 399644264800 402273304576 402805145600 404383129600 408558824960 410510983168 412664012800 415630035392 420558454784 422124254695 427129680640 429170573312 444821442560 446207590400 451771777600 453930414080 457128755200 461023076800 465040599040 466489753600 469842648704 472306858400 475413905408 491199132736 502841630720 510698531200 511544658944 513138728960 519537544240 525698068480 533912100800 536463216640 556026803200 558683586560 567413017600 578267875328 581300748800 587303310880 590109538304 594267381760 604552778752 613998915920 628552038400 639430823680 641423411200 647013007360 649421930300 653694119936 657122585600 660262420480 670579020800 675398807512 683407489024 698354483200 711714308096 722834844160 726288662528 734129138600 737636922880 742834227200 744064958464 755690973440 767498644900 773602508800 789444198400 799288529600 804546609152 805610291200 808766259200 817117649920 821021966336 825328025600 831260070784 841116909568 844248509390 854259361280 858341146624 889642885120 892415180800 903543555200 907860828160 914257510400 922046153600 930081198080 932979507200 939685297408 944613716800 950827810816 982398265472 1005683261440 1021397062400 1023089317888 1026277457920 1039075088480 1051396136960 1067824201600 1072926433280 1112053606400 1134826035200 1156535750656 1162601497600 1174606621760 1180219076608 1188534763520 1209105557504 1227997831840 1257104076800 1278861647360 1282846822400 1298843860600 1307388239872 1314245171200 1341158041600 1350797615024 1366814978048 1396708966400 1423428616192 1445669688320 1452577325056 1468258277200 1475273845760 1485668454400 1488129916928 1511381946880 1534997289800 1547205017600 1578888396800 1598577059200 1611220582400 1617532518400 1634235299840 1650656051200 1662520141568 1682233819136 1688497018780 1708518722560 1716682293248 1779285770240 1807087110400 1815721656320 1828515020800 1844092307200 1860162396160 1865959014400 1879370594816 1889227433600 1964796530944 2011366522880 2042794124800 2046178635776 2052554915840 2078150176960 2102792273920 2110621273475 2135648403200 2145852866560 2224107212800 2269652070400 2313071501312 2325202995200 2349213243520 2360438153216 2377069527040 2418211115008 2455995663680 2514208153600 2557723294720 2565693644800 2597687721200 2614776479744 2628490342400 2682316083200 2701595230048 2733629956096 2793417932800 2891339376640 2936516554400 2950547691520 2971336908800 2976259833856 3022763893760 3069994579600 3197154118400 3235065036800 3268470599680 3301312102400 3325040283136 3376994037560 3417037445120 3558571540480 3614174220800 3631443312640 3688184614400 3720324792320 3758741189632 3778454867200 3929593061888 4022733045760 4085588249600 4092357271552 4105109831680 4156300353920 4205584547840 4221242546950 4271296806400 4291705733120 4448214425600 4539304140800 4626143002624 4650405990400 4698426487040 4720876306432 4754139054080 4836422230016 4911991327360 5028416307200 5115446589440 5131387289600 5195375442400 5229552959488 5256980684800 5364632166400 5403190460096 5467259912192 5782678753280 5873033108800 5901095383040 5942673817600 6045527787520 6139989159200 6394308236800 6536941199360 6650080566272 6753988075120 6834074890240 7117143080960 7228348441600 7262886625280 7376369228800 7440649584640 7517482379264 7556909734400 7859186123776 8171176499200 8184714543104 8312600707840 8411169095680 8442485093900 8542593612800 8583411466240 8896428851200 9078608281600 9252286005248 9300811980800 9396852974080 9441752612864 9672844460032 9823982654720 10056832614400 10230893178880 10262774579200 10390750884800 10459105918976 10513961369600 10729264332800 10806380920192 10934519824384 11565357506560 11746066217600 11802190766080 11885347635200 12091055575040 12279978318400 12788616473600 13073882398720 13300161132544 13507976150240 13668149780480 14456696883200 14752738457600 14881299169280 15034964758528 15113819468800 15718372247552 16342352998400 16369429086208 16625201415680 16884970187800 17085187225600 17792857702400 18157216563200 18504572010496 18601623961600 18793705948160 18883505225728 19345688920064 19647965309440 20113665228800 20461786357760 20525549158400 20781501769600 21027922739200 21458528665600 21612761840384 21869039648768 23130715013120 23492132435200 23604381532160 23770695270400 24182111150080 24559956636800 25577232947200 26147764797440 26600322265088 27015952300480 27336299560960 28913393766400 29505476915200 30069929517056 30227638937600 31436744495104 32684705996800 32738858172416 33250402831360 33769940375600 34170374451200 35585715404800 36314433126400 37203247923200 37587411896320 38691377840128 39295930618880 40923572715520 41563003539200 42055845478400 42917057331200 43225523680768 46261430026240 46984264870400 47208763064320 48364222300160 49119913273600 51154465894400 52295529594880 53200644530176 54031904600960 54672599121920 57826787532800 59010953830400 60139859034112 60455277875200 62873488990208 65369411993600 66500805662720 67539880751200 68340748902400 74406495846400 75174823792640 78591861237760 81847145431040 83126007078400 86451047361536 92522860052480 93968529740800 94417526128640 96728444600320 98239826547200 102308931788800 106401289060352 108063809201920 109345198243840 115653575065600 118021907660800 120279718068224 120910555750400 125746977980416 130738823987200 133001611325440 135079761502400 136681497804800 150349647585280 157183722475520 163694290862080 166252014156800 172902094723072 187937059481600 193456889200640 196479653094400 204617863577600 212802578120704 216127618403840 231307150131200 236043815321600 240559436136448 241821111500800 251493955960832 261477647974400 266003222650880 270159523004800 273362995609600 300699295170560 314367444951040 332504028313600 345804189446144 375874118963200 392959306188800 409235727155200 425605156241408 432255236807680 462614300262400 472087630643200 483642223001600 502987911921664 532006445301760 540319046009600 546725991219200 601398590341120 628734889902080 665008056627200 691608378892288 751748237926400 785918612377600 818471454310400 864510473615360 967284446003200 1064012890603520 1080638092019200 1202797180682240 1257469779804160 1330016113254400 1383216757784576 1503496475852800 1571837224755200 1729020947230720 2128025781207040 2161276184038400 2514939559608320 2660032226508800 2766433515569152 3006992951705600 3143674449510400 3458041894461440 4322552368076800 5320064453017600 5532867031138304 6013985903411200 6287348899020800 6916083788922880 8645104736153600 10640128906035200 12574697798041600 13832167577845760 17290209472307200 27664335155691520 34580418944614400 69160837889228800 138321675778457600
- Sum of all divisors σ(n): 425055623357614284
- Sum of proper divisors (its aliquot sum) s(n): 286733947579156684
- 138321675778457600 is an abundant number, because the sum of its proper divisors (286733947579156684) is greater than itself. Its abundance is 148412271800699084
Bases of 138321675778457600
- Binary: 1111010110110101011010100110011011000001100000000000000002
- Hexadecimal: 0x1EB6AD4CD830000
- Base-36: 11TYXWM6NPQ8
Squares and roots of 138321675778457600
- 138321675778457600 squared (1383216757784576002) is 19132885990160743902956234997760000
- 138321675778457600 cubed (1383216757784576003) is 2646492852637208124877100189493728049392254976000000
-
The
square root of 138321675778457600 is 371916221.4510918587 -
The
cube root of 138321675778457600 is 517166.1372320117
Scales and comparisons
How big is 138321675778457600?- 138,321,675,778,457,600 seconds is equal to 4,398,201,432 years, 37 weeks, 2 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,321,675,778,457,600 would take you about thirteen billion, one hundred ninety-four million, six hundred four thousand, two hundred ninety-eight 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 138321675778457600 cubic inches would be around 43097.2 feet tall.
Recreational maths with 138321675778457600
- 138321675778457600 backwards is 006754877576123831
- 138321675778457600 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138321675778457600's digits is 80
- More coming soon!
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"Number 138321675778457600 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138321675778457600 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138321675778457600/
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Numbermatics. 2024. "Number 138321675778457600 - Facts about the integer". https://numbermatics.com/n/138321675778457600/
The information we have on file for 138321675778457600 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 138321675778457600, math, Factors of 138321675778457600, curriculum, school, college, exams, university, Prime factorization of 138321675778457600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred twenty-one trillion, six hundred seventy-five billion, seven hundred seventy-eight million, four hundred fifty-seven thousand, six hundred.