138320100202905600
138,320,100,202,905,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 138320100202905600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2736 divisors.
138320100202905600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred thirty-six divisors.
Prime factorization of 138320100202905600:
218 × 3 × 52 × 73 × 295
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 29 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 138320100202905600 from the Numbermatics database.
Names of 138320100202905600
- Cardinal: 138320100202905600 can be written as One hundred thirty-eight quadrillion, three hundred twenty trillion, one hundred billion, two hundred two million, nine hundred five thousand, six hundred.
Scientific notation
- Scientific notation: 1.383201002029056 × 1017
Factors of 138320100202905600
Divisors of 138320100202905600
- Number of divisors d(n): 2736
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 49 50 56 58 60 64 70 75 80 84 87 96 98 100 105 112 116 120 128 140 145 147 150 160 168 174 175 192 196 200 203 210 224 232 240 245 256 280 290 294 300 320 336 343 348 350 384 392 400 406 420 435 448 464 480 490 512 525 560 580 588 600 609 640 672 686 696 700 725 735 768 784 800 812 840 841 870 896 928 960 980 1015 1024 1029 1050 1120 1160 1176 1200 1218 1225 1280 1344 1372 1392 1400 1421 1450 1470 1536 1568 1600 1624 1680 1682 1715 1740 1792 1856 1920 1960 2030 2048 2058 2100 2175 2240 2320 2352 2400 2436 2450 2523 2560 2688 2744 2784 2800 2842 2900 2940 3045 3072 3136 3200 3248 3360 3364 3430 3480 3584 3675 3712 3840 3920 4060 4096 4116 4200 4205 4263 4350 4480 4640 4704 4800 4872 4900 5046 5075 5120 5145 5376 5488 5568 5600 5684 5800 5880 5887 6090 6144 6272 6400 6496 6720 6728 6860 6960 7105 7168 7350 7424 7680 7840 8120 8192 8232 8400 8410 8526 8575 8700 8960 9280 9408 9600 9744 9800 9947 10092 10150 10240 10290 10752 10976 11136 11200 11368 11600 11760 11774 12180 12288 12544 12615 12800 12992 13440 13456 13720 13920 14210 14336 14700 14848 15225 15360 15680 16240 16384 16464 16800 16820 17052 17150 17400 17661 17920 18560 18816 19200 19488 19600 19894 20184 20300 20480 20580 21025 21315 21504 21952 22272 22400 22736 23200 23520 23548 24360 24389 24576 25088 25230 25600 25725 25984 26880 26912 27440 27840 28420 28672 29400 29435 29696 29841 30450 30720 31360 32480 32768 32928 33600 33640 34104 34300 34800 35322 35525 35840 37120 37632 38400 38976 39200 39788 40368 40600 40960 41160 41209 42050 42630 43008 43904 44544 44800 45472 46400 47040 47096 48720 48778 49152 49735 50176 50460 51200 51450 51968 53760 53824 54880 55680 56840 57344 58800 58870 59392 59682 60900 61440 62720 63075 64960 65536 65856 67200 67280 68208 68600 69600 70644 71050 71680 73167 74240 75264 76800 77952 78400 79576 80736 81200 81920 82320 82418 84100 85260 86016 87808 88305 89088 89600 90944 92800 94080 94192 97440 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385937779584 388155812800 391597588480 393814060800 402018520400 405100953600 405583216640 411177467904 419568844800 420068331520 422119446420 425862377472 428309862400 434553446400 441071748096 443606643200 450260742848 459449737600 463523676160 465786975360 469917106176 472617779200 479507251200 482422224480 486699859968 489496985600 496839440384 504081997824 506979020800 513971834880 514583706112 525085414400 527649308025 532327971840 548236623872 551339685120 556228411392 559425126400 562825928560 567141335040 567816503296 579404595200 582233719200 587396382720 588095664128 603027780600 608374824960 621049300480 630102497280 642464793600 643229632640 648933146624 665409964800 671310151680 672109330432 675391114272 685295779840 689174606400 695285514240 703532410700 708926668800 709770629120 734245478400 735119580160 745259160576 760468531200 771875559168 776311625600 783195176960 787628121600 804037040800 810201907200 811166433280 822354935808 839137689600 840136663040 844238892840 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1946799439872 1957987942400 1987357761536 2016327991296 2027916083200 2055887339520 2058334824448 2100341657600 2110597232100 2129311887360 2192946495488 2205358740480 2251303714240 2271266013184 2317618380800 2328934876800 2349585530880 2352382656512 2412111122400 2433499299840 2484197201920 2520409989120 2569859174400 2572918530560 2661639859200 2688437321728 2701564457088 2741183119360 2756698425600 2781142056960 2814129642800 2835706675200 2839082516480 2936981913600 2940478320640 2981036642304 3041874124800 3087502236672 3105246502400 3150512486400 3216148163200 3244665733120 3289419743232 3356550758400 3360546652160 3376955571360 3406899019776 3426478899200 3476427571200 3528573984768 3548853145600 3602085942784 3675597900800 3726295802880 3859377795840 3893598879744 3915975884800 3974715523072 4032655982592 4055832166400 4111774679040 4116669648896 4200683315200 4221194464200 4258623774720 4410717480960 4502607428480 4542532026368 4635236761600 4657869753600 4699171061760 4704765313024 4824222244800 4866998599680 4968394403840 5040819978240 5139718348800 5145837061120 5323279718400 5376874643456 5403128914176 5482366238720 5513396851200 5628259285600 5671413350400 5678165032960 5873963827200 5880956641280 5962073284608 6083748249600 6175004473344 6210493004800 6301024972800 6432296326400 6489331466240 6578839486464 6721093304320 6753911142720 6813798039552 6852957798400 6952855142400 7057147969536 7097706291200 7204171885568 7351195801600 7452591605760 7718755591680 7831951769600 7949431046144 8065311965184 8111664332800 8223549358080 8233339297792 8401366630400 8442388928400 8517247549440 8821434961920 9005214856960 9085064052736 9315739507200 9409530626048 9648444489600 9733997199360 9936788807680 10081639956480 10279436697600 10291674122240 10646559436800 10806257828352 10964732477440 11026793702400 11256518571200 11356330065920 11747927654400 11761913282560 11924146569216 12167496499200 12350008946688 12420986009600 12602049945600 12864592652800 13442186608640 13507822285440 13627596079104 13705915596800 13905710284800 14114295939072 14195412582400 14408343771136 14702391603200 14905183211520 15437511183360 15898862092288 16130623930368 16223328665600 16447098716160 16466678595584 16802733260800 16884777856800 17034495098880 17642869923840 18010429713920 18631479014400 18819061252096 19296888979200 19467994398720 19873577615360 20163279912960 20558873395200 20583348244480 21293118873600 21612515656704 22053587404800 22513037142400 22712660131840 23495855308800 23523826565120 23848293138432 24334992998400 24700017893376 24841972019200 25204099891200 25729185305600 26884373217280 27015644570880 27255192158208 27411831193600 28228591878144 28390825164800 28816687542272 29404783206400 29810366423040 30875022366720 31797724184576 32446657331200 32894197432320 32933357191168 33605466521600 33769555713600 34068990197760 35285739847680 36020859427840 37262958028800 37638122504192 38593777958400 39747155230720 40326559825920 41117746790400 41166696488960 42586237747200 43225031313408 44107174809600 45026074284800 45425320263680 47047653130240 47696586276864 48669985996800 49400035786752 49683944038400 50408199782400 51458370611200 54031289141760 54823662387200 56457183756288 56781650329600 57633375084544 58809566412800 59620732846080 61750044733440 63595448369152 65866714382336 67210933043200 67539111427200 68137980395520 70571479695360 72041718855680 74525916057600 77187555916800 79494310461440 80653119651840 82235493580800 82333392977920 85172475494400 86450062626816 88214349619200 90052148569600 94095306260480 95393172553728 97339971993600 98800071573504 99367888076800 100816399564800 102916741222400 108062578283520 112914367512576 113563300659200 115266750169088 117619132825600 119241465692160 123500089466880 131733428764672 134421866086400 135078222854400 136275960791040 141142959390720 144083437711360 149051832115200 154375111833600 158988620922880 164470987161600 164666785955840 170344950988800 172900125253632 176428699238400 180104297139200 188190612520960 190786345107456 197600143147008 198735776153600 201632799129600 205833482444800 216125156567040 227126601318400 230533500338176 235238265651200 238482931384320 247000178933760 263466857529344 270156445708800 282285918781440 288166875422720 298103664230400 308750223667200 317977241845760 329333571911680 340689901977600 345800250507264 352857398476800 360208594278400 395200286294016 397471552307200 403265598259200 411666964889600 432250313134080 461067000676352 470476531302400 476965862768640 494000357867520 540312891417600 564571837562880 576333750845440 596207328460800 617500447334400 658667143823360 681379803955200 691600501014528 705714796953600 720417188556800 790400572588032 794943104614400 823333929779200 864500626268160 922134001352704 940953062604800 953931725537280 988000715735040 1080625782835200 1152667501690880 1192414656921600 1235000894668800 1317334287646720 1383201002029056 1411429593907200 1440834377113600 1589886209228800 1646667859558400 1729001252536320 1844268002705408 1976001431470080 2161251565670400 2305335003381760 2384829313843200 2470001789337600 2766402004058112 2822859187814400 2881668754227200 3293335719116800 3458002505072640 3952002862940160 4322503131340800 4610670006763520 4769658627686400 4940003578675200 5532804008116224 5763337508454400 6586671438233600 6916005010145280 8645006262681600 9221340013527040 9880007157350400 11526675016908800 13832010020290560 17290012525363200 19760014314700800 23053350033817600 27664020040581120 34580025050726400 46106700067635200 69160050101452800 138320100202905600
- Sum of all divisors σ(n): 552434408751888000
- Sum of proper divisors (its aliquot sum) s(n): 414114308548982400
- 138320100202905600 is an abundant number, because the sum of its proper divisors (414114308548982400) is greater than itself. Its abundance is 275794208346076800
Bases of 138320100202905600
- Binary: 1111010110110100101100101111101011110010000000000000000002
- Hexadecimal: 0x1EB6965F5E40000
- Base-36: 11TYDST1NL6O
Squares and roots of 138320100202905600
- 138320100202905600 squared (1383201002029056002) is 19132450120141845806290682511360000
- 138320100202905600 cubed (1383201002029056003) is 2646402417745113397208161142472461045377007616000000
-
The
square root of 138320100202905600 is 371914103.2589455327 -
The
cube root of 138320100202905600 is 517164.1736028809
Scales and comparisons
How big is 138320100202905600?- 138,320,100,202,905,600 seconds is equal to 4,398,151,334 years, 15 weeks, 18 hours, 40 minutes.
-
To count from 1 to 138,320,100,202,905,600 would take you about thirteen billion, one hundred ninety-four million, four hundred fifty-four thousand and two 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 138320100202905600 cubic inches would be around 43097 feet tall.
Recreational maths with 138320100202905600
- 138320100202905600 backwards is 006509202001023831
- 138320100202905600 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138320100202905600's digits is 42
- More coming soon!
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Cite this page
MLA style:
"Number 138320100202905600 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138320100202905600 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138320100202905600/
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Numbermatics. 2024. "Number 138320100202905600 - Facts about the integer". https://numbermatics.com/n/138320100202905600/
The information we have on file for 138320100202905600 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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