138823297096428000
138,823,297,096,428,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138823297096428000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2400 divisors.
138823297096428000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138823297096428000:
25 × 34 × 53 × 74 × 5633
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 563 × 563 × 563)See below for interesting mathematical facts about the number 138823297096428000 from the Numbermatics database.
Names of 138823297096428000
- Cardinal: 138823297096428000 can be written as One hundred thirty-eight quadrillion, eight hundred twenty-three trillion, two hundred ninety-seven billion, ninety-six million, four hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38823297096428 × 1017
Factors of 138823297096428000
Divisors of 138823297096428000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 70 72 75 80 81 84 90 96 98 100 105 108 112 120 125 126 135 140 144 147 150 160 162 168 175 180 189 196 200 210 216 224 225 240 245 250 252 270 280 288 294 300 315 324 336 343 350 360 375 378 392 400 405 420 432 441 450 480 490 500 504 525 540 560 563 567 588 600 630 648 672 675 686 700 720 735 750 756 784 800 810 840 864 875 882 900 945 980 1000 1008 1029 1050 1080 1120 1125 1126 1134 1176 1200 1225 1260 1296 1323 1350 1372 1400 1440 1470 1500 1512 1568 1575 1620 1680 1689 1715 1750 1764 1800 1890 1960 2000 2016 2025 2058 2100 2160 2205 2250 2252 2268 2352 2400 2401 2450 2520 2592 2625 2646 2700 2744 2800 2815 2835 2940 3000 3024 3087 3150 3240 3360 3375 3378 3430 3500 3528 3600 3675 3780 3920 3941 3969 4000 4050 4116 4200 4320 4410 4500 4504 4536 4704 4725 4802 4900 5040 5067 5145 5250 5292 5400 5488 5600 5630 5670 5880 6000 6048 6125 6174 6300 6480 6615 6750 6756 6860 7000 7056 7200 7203 7350 7560 7840 7875 7882 7938 8100 8232 8400 8445 8575 8820 9000 9008 9072 9261 9450 9604 9800 10080 10125 10134 10290 10500 10584 10800 10976 11025 11260 11340 11760 11823 12000 12005 12250 12348 12600 12960 13230 13500 13512 13720 14000 14075 14112 14175 14406 14700 15120 15201 15435 15750 15764 15876 16200 16464 16800 16890 17150 17640 18000 18016 18144 18375 18522 18900 19208 19600 19705 19845 20250 20268 20580 21000 21168 21600 21609 22050 22520 22680 23520 23625 23646 24010 24500 24696 25200 25335 25725 26460 27000 27024 27440 27587 27783 28000 28150 28350 28812 29400 30240 30402 30870 31500 31528 31752 32400 32928 33075 33780 34300 35280 35469 36000 36015 36750 37044 37800 38416 39200 39410 39690 40500 40536 41160 42000 42225 42336 42875 43218 44100 45040 45360 45603 46305 47250 47292 48020 49000 49392 50400 50670 51450 52920 54000 54048 54880 55125 55174 55566 56300 56700 57624 58800 59115 60025 60804 61740 63000 63056 63504 64800 64827 66150 67560 68600 70375 70560 70875 70938 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11568608091369 11741799636000 11804702134050 12241913324200 12328889617800 12591682276320 12647895143625 12854008990410 13116335704500 13221266390136 13491088153200 13698766242000 13710942923104 13772152489725 14165642560860 14454737307000 14690295989040 14990097948000 15302391655250 15411112022250 15424810788492 15739602845400 16189305783840 16438519490400 16526582987670 16863860191500 17138678653880 17488447606000 17612699454000 17628355186848 17707053201075 18362869986300 18887523414480 19272983076000 19281013485615 19674503556750 19831899585204 20236632229800 20548149363000 20566414384656 20986137127200 21423348317350 22035443983560 22485146922000 22665028097376 22953587482875 23137216182738 23609404268100 24483826648400 24657779235600 24789874481505 25295790287250 25708017980820 26232671409000 26442532780272 26982176306400 27397532484000 27544304979450 28331285121720 28909474614000 29380591978080 29511755335125 30604783310500 30822224044500 30849621576984 31479205690800 32135022476025 33053165975340 33727720383000 34277357307760 34705824274107 34976895212000 35225398908000 35414106402150 36725739972600 37775046828960 38562026971230 39349007113500 39663799170408 40473264459600 41096298726000 41132828769312 41316457469175 42846696634700 44070887967120 44970293844000 45907174965750 46274432365476 47218808536200 48967653296800 49315558471200 49579748963010 50591580574500 51416035961640 52465342818000 52885065560544 53558370793375 55088609958900 56662570243440 57818949228000 57843040456845 59023510670250 61209566621000 61644448089000 61699243153968 62958411381600 64270044952050 66106331950680 67455440766000 68554714615520 68860762448625 69411648548214 70828212804300 73451479945200 77124053942460 78698014227000 79327598340816 80946528919200 82192597452000 82632914938350 85693393269400 88141775934240 88535266005375 91814349931500 92548864730952 94437617072400 96405067428075 99159497926020 101183161149000 102832071923280 104930685636000 107116741586750 110177219917800 113325140486880 115686080913690 118047021340500 122419133242000 123288896178000 123398486307936 123949372407525 128540089904100 132212663901360 134910881532000 137721524897250 138823297096428 141656425608600 146902959890400 154248107884920 157396028454000 158655196681632 160675112380125 165265829876700 171386786538800 173529121370535 177070532010750 183628699863000 185097729461904 188875234144800 192810134856150 198318995852040 202366322298000 205664143846560 206582287345875 214233483173500 220354439835600 231372161827380 236094042681000 244838266484000 246577792356000 247898744815050 257080179808200 264425327802720 275443049794500 277646594192856 283312851217200 289215202284225 308496215769840 314792056908000 321350224760250 330531659753400 342773573077600 347058242741070 354141064021500 367257399726000 370195458923808 385620269712300 396637991704080 404732644596000 413164574691750 428466966347000 440708879671200 462744323654760 472188085362000 482025337140375 495797489630100 514160359616400 550886099589000 555293188385712 566625702434400 578430404568450 616992431539680 619746862037625 642700449520500 661063319506800 694116485482140 708282128043000 734514799452000 771240539424600 793275983408160 826329149383500 856933932694000 867645606852675 925488647309520 944376170724000 964050674280750 991594979260200 1028320719232800 1101772199178000 1110586376771424 1156860809136900 1239493724075250 1285400899041000 1322126639013600 1388232970964280 1416564256086000 1446076011421125 1542481078849200 1652658298767000 1713867865388000 1735291213705350 1850977294619040 1928101348561500 1983189958520400 2203544398356000 2313721618273800 2478987448150500 2570801798082000 2776465941928560 2833128512172000 2892152022842250 3084962157698400 3305316597534000 3470582427410700 3856202697123000 3966379917040800 4338228034263375 4627443236547600 4957974896301000 5141603596164000 5552931883857120 5784304045684500 6610633195068000 6941164854821400 7712405394246000 8676456068526750 9254886473095200 9915949792602000 11568608091369000 13882329709642800 15424810788492000 17352912137053500 19831899585204000 23137216182738000 27764659419285600 34705824274107000 46274432365476000 69411648548214000 138823297096428000
- Sum of all divisors σ(n): 595471377055595040
- Sum of proper divisors (its aliquot sum) s(n): 456648079959167040
- 138823297096428000 is an abundant number, because the sum of its proper divisors (456648079959167040) is greater than itself. Its abundance is 317824782862739040
Bases of 138823297096428000
- Binary: 1111011010011001100001101100111011111101100101001111000002
- Hexadecimal: 0x1ED330D9DFB29E0
- Base-36: 11YWR29NWE00
Squares and roots of 138823297096428000
- 138823297096428000 squared (1388232970964280002) is 19271907816723114775530359184000000
- 138823297096428000 cubed (1388232970964280003) is 2675389784455926056199515897091951123394752000000000
-
The
square root of 138823297096428000 is 372589985.2336721087 -
The
cube root of 138823297096428000 is 517790.5479089451
Scales and comparisons
How big is 138823297096428000?- 138,823,297,096,428,000 seconds is equal to 4,414,151,439 years, 5 days, 6 hours.
-
To count from 1 to 138,823,297,096,428,000 would take you about thirteen billion, two hundred forty-two million, four hundred fifty-four thousand, three hundred seventeen 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 138823297096428000 cubic inches would be around 43149.2 feet tall.
Recreational maths with 138823297096428000
- 138823297096428000 backwards is 000824690792328831
- 138823297096428000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138823297096428000's digits is 72
- More coming soon!
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"Number 138823297096428000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138823297096428000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138823297096428000/
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The information we have on file for 138823297096428000 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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