138105956263265196800
138,105,956,263,265,196,800 is an even composite number composed of eight prime numbers multiplied together.
138105956263265196800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138105956263265196800:
28 × 52 × 11 × 17 × 43 × 191 × 86353 × 162709
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 17 × 43 × 191 × 86353 × 162709)See below for interesting mathematical facts about the number 138105956263265196800 from the Numbermatics database.
Names of 138105956263265196800
- Cardinal: 138105956263265196800 can be written as One hundred thirty-eight quintillion, one hundred five quadrillion, nine hundred fifty-six trillion, two hundred sixty-three billion, two hundred sixty-five million, one hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381059562632651968 × 1020
Factors of 138105956263265196800
Divisors of 138105956263265196800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 43 44 50 55 64 68 80 85 86 88 100 110 128 136 160 170 172 176 187 191 200 215 220 256 272 275 320 340 344 352 374 382 400 425 430 440 473 544 550 640 680 688 704 731 748 764 800 850 860 880 935 946 955 1075 1088 1100 1280 1360 1376 1408 1462 1496 1528 1600 1700 1720 1760 1870 1892 1910 2101 2150 2176 2200 2365 2720 2752 2816 2924 2992 3056 3200 3247 3400 3440 3520 3655 3740 3784 3820 4202 4300 4352 4400 4675 4730 4775 5440 5504 5848 5984 6112 6400 6494 6800 6880 7040 7310 7480 7568 7640 8041 8213 8404 8600 8800 9350 9460 9550 10505 10880 11008 11696 11825 11968 12224 12988 13600 13760 14080 14620 14960 15136 15280 16082 16235 16426 16808 17200 17600 18275 18700 18920 19100 21010 21760 23392 23650 23936 24448 25976 27200 27520 29240 29920 30272 30560 32164 32470 32852 33616 34400 35200 35717 36550 37400 37840 38200 40205 41065 42020 46784 47300 47872 48896 51952 52525 54400 55040 58480 59840 60544 61120 64328 64940 65704 67232 68800 70400 71434 73100 74800 75680 76400 80410 81175 82130 84040 86353 90343 93568 94600 103904 105050 108800 116960 119680 121088 122240 128656 129880 131408 134464 137600 139621 142868 146200 149600 151360 152800 160820 162350 162709 164260 168080 172706 178585 180686 187136 189200 201025 205325 207808 210100 233920 239360 244480 257312 259760 262816 268928 275200 279242 285736 292400 299200 302720 305600 321640 324700 325418 328520 336160 345412 357170 361372 378400 402050 410650 415616 420200 431765 451715 467840 514624 519520 525632 537856 558484 571472 584800 598400 605440 611200 643280 649400 650836 657040 672320 690824 698105 714340 722744 756800 804100 813545 821300 831232 840400 863530 892925 903430 935680 949883 1029248 1039040 1051264 1116968 1142944 1169600 1196800 1222400 1286560 1298800 1301672 1314080 1344640 1381648 1396210 1428680 1445488 1468001 1513600 1535831 1608200 1627090 1642600 1680800 1727060 1785850 1789799 1806860 1899766 2058496 2078080 2102528 2158825 2233936 2258575 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5316675248816800 5648967451867850 5769800980250050 5839575317685632 5903982398395400 6346781078275055 6573343943991680 7230678338390848 7299469147107040 7385345254720064 7557097469946112 7846929333140068 8029416061817744 8216679929989600 8407765509756800 8506680398106880 8587610761302400 9038347922988560 9124336433883800 9231681568400080 9446371837432640 9808661666425085 10036770077272180 10154849725240088 10633350497633600 11297934903735700 11539601960500100 11679150635371264 11807964796790800 12545962596590225 12693562156550110 13146687887983360 14461356676781696 14598938294214080 14770690509440128 15693858666280136 16058832123635488 16433359859979200 16815531019513600 17175221522604800 18076695845977120 18248672867767600 18463363136800160 18892743674865280 19617323332850170 20073540154544360 20309699450480176 21266700995267200 21579055666135187 22595869807471400 23079203921000200 23615929593581600 25091925193180450 25387124313100220 28922713353563392 29197876588428160 29541381018880256 31387717332560272 31733905391375275 32117664247270976 32866719719958400 36153391691954240 36497345735535200 36926726273600320 37785487349730560 39234646665700340 40147080309088720 40619398900960352 42533401990534400 43158111332270374 45191739614942800 46158407842000400 47231859187163200 49043308332125425 50183850386360900 50774248626200440 58395753176856320 62775434665120544 63467810782750550 64235328494541952 65733439439916800 72306783383908480 72994691471070400 73853452547200640 78469293331400680 80294160618177440 81238797801920704 86316222664540748 90383479229885600 92316815684000800 94463718374326400 98086616664250850 100367700772721800 101548497252400880 107895278330675935 125550869330241088 126935621565501100 128470656989083904 144613566767816960 145989382942140800 147706905094401280 156938586662801360 160588321236354880 162477595603841408 172632445329081496 180766958459771200 184633631368001600 188927436748652800 196173233328501700 200735401545443600 203096994504801760 215790556661351870 251101738660482176 253871243131002200 291978765884281600 313877173325602720 321176642472709760 324955191207682816 345264890658162992 361533916919542400 369267262736003200 392346466657003400 401470803090887200 406193989009603520 431581113322703740 502203477320964352 507742486262004400 539476391653379675 627754346651205440 642353284945419520 690529781316325984 723067833839084800 738534525472006400 784692933314006800 802941606181774400 812387978019207040 863162226645407480 1015484972524008800 1078952783306759350 1255508693302410880 1381059562632651968 1569385866628013600 1605883212363548800 1624775956038414080 1726324453290814960 2030969945048017600 2157905566613518700 2511017386604821760 2762119125265303936 3138771733256027200 3211766424727097600 3452648906581629920 4061939890096035200 4315811133227037400 5524238250530607872 6277543466512054400 6905297813163259840 8123879780192070400 8631622266454074800 12555086933024108800 13810595626326519680 17263244532908149600 27621191252653039360 34526489065816299200 69052978131632598400 138105956263265196800
- Sum of all divisors σ(n): 406150464907267153920
- Sum of proper divisors (its aliquot sum) s(n): 268044508644001957120
- 138105956263265196800 is an abundant number, because the sum of its proper divisors (268044508644001957120) is greater than itself. Its abundance is 129938552380736760320
Bases of 138105956263265196800
- Binary: 11101111100100110101110101110000001001101011000111001011011000000002
- Hexadecimal: 0x77C9AEB81358E5B00
- Base-36: T59IJNB2A0HKW
Squares and roots of 138105956263265196800
- 138105956263265196800 squared (1381059562632651968002) is 19073255155390919440492845446142730240000
- 138105956263265196800 cubed (1381059562632651968003) is 2634130142288515755148854518934083117616059117522911232000000
-
The
square root of 138105956263265196800 is 11751849057.2022408357 -
The
cube root of 138105956263265196800 is 5168971.4860100099
Scales and comparisons
How big is 138105956263265196800?- 138,105,956,263,265,196,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,105,956,263,265,196,800 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 138105956263265196800 cubic inches would be around 430747.6 feet tall.
Recreational maths with 138105956263265196800
- 138105956263265196800 backwards is 008691562362659501831
- 138105956263265196800 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138105956263265196800's digits is 86
- More coming soon!
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"Number 138105956263265196800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138105956263265196800 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138105956263265196800/
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The information we have on file for 138105956263265196800 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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