138007630476359296400
138,007,630,476,359,296,400 is an even composite number composed of four prime numbers multiplied together.
What does the number 138007630476359296400 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 840 divisors.
138007630476359296400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 138007630476359296400:
24 × 52 × 116 × 417
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 41 × 41 × 41 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138007630476359296400 from the Numbermatics database.
Names of 138007630476359296400
- Cardinal: 138007630476359296400 can be written as One hundred thirty-eight quintillion, seven quadrillion, six hundred thirty trillion, four hundred seventy-six billion, three hundred fifty-nine million, two hundred ninety-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.380076304763592964 × 1020
Factors of 138007630476359296400
Divisors of 138007630476359296400
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 40 41 44 50 55 80 82 88 100 110 121 164 176 200 205 220 242 275 328 400 410 440 451 484 550 605 656 820 880 902 968 1025 1100 1210 1331 1640 1681 1804 1936 2050 2200 2255 2420 2662 3025 3280 3362 3608 4100 4400 4510 4840 4961 5324 6050 6655 6724 7216 8200 8405 9020 9680 9922 10648 11275 12100 13310 13448 14641 16400 16810 18040 18491 19844 21296 22550 24200 24805 26620 26896 29282 33275 33620 36080 36982 39688 42025 45100 48400 49610 53240 54571 58564 66550 67240 68921 73205 73964 79376 84050 90200 92455 99220 106480 109142 117128 124025 133100 134480 137842 146410 147928 161051 168100 180400 184910 198440 203401 218284 234256 248050 266200 272855 275684 292820 295856 322102 336200 344605 366025 369820 396880 406802 436568 462275 496100 532400 545710 551368 585640 600281 644204 672400 689210 732050 739640 758131 805255 813604 873136 924550 992200 1017005 1091420 1102736 1171280 1200562 1288408 1364275 1378420 1464100 1479280 1516262 1610510 1627208 1723025 1771561 1849100 1984400 2034010 2182840 2237411 2401124 2576816 2728550 2756840 2825761 2928200 3001405 3032524 3221020 3254416 3446050 3543122 3698200 3790655 4026275 4068020 4365680 4474822 4802248 5085025 5457100 5513680 5651522 5856400 6002810 6065048 6442040 6603091 6892100 7086244 7396400 7581310 8052550 8136040 8339441 8857805 8949644 9604496 10170050 10914200 11187055 11303044 12005620 12130096 12884080 13206182 13784200 14128805 14172488 15007025 15162620 16105100 16272080 16678882 17715610 17899288 18953275 20340100 21828400 22374110 22606088 24011240 24611521 26412364 27568400 28257610 28344976 30014050 30325240 31083371 32210200 33015455 33357764 35431220 35798576 37906550 40680200 41697205 44289025 44748220 45212176 48022480 49223042 52824728 55935275 56515220 60028100 60650480 62166742 64420400 66030910 66715528 70644025 70862440 72634001 75813100 81360400 83394410 88578050 89496440 91733851 98446084 105649456 111870550 113030440 115856201 120056200 123057605 124333484 132061820 133431056 141288050 141724880 145268002 151626200 155416855 165077275 166788820 177156100 178992880 183467702 196892168 208486025 223741100 226060880 231712402 240112400 246115210 248666968 264123640 270726731 282576100 290536004 303252400 310833710 330154550 333577640 341917081 354312200 363170005 366935404 393784336 416972050 447482200 458669255 463424804 492230420 497333936 528247280 541453462 565152200 579281005 581072008 615288025 621667420 660309100 667155280 683834162 708624400 726340010 733870808 777084275 833944100 894964400 917338510 926849608 984460840 1009072361 1082906924 1130304400 1158562010 1162144016 1230576050 1243334840 1274418211 1320618200 1353633655 1367668324 1452680020 1467741616 1554168550 1667888200 1709585405 1815850025 1834677020 1853699216 1968921680 2018144722 2165813848 2293346275 2317124020 2461152100 2486669680 2548836422 2641236400 2707267310 2735336648 2896405025 2905360040 2977994041 3108337100 3335776400 3419170810 3631700050 3669354040 3761087891 4036289444 4331627696 4586692550 4634248040 4750104241 4922304200 5045361805 5097672844 5414534620 5470673296 5792810050 5810720080 5955988082 6216674200 6372091055 6768168275 6838341620 7263400100 7338708080 7522175782 8072578888 8547927025 9173385100 9268496080 9500208482 9844608400 10090723610 10195345688 10829069240 11099795971 11585620100 11911976164 12433348400 12744182110 13536336550 13676683240 14018600321 14526800200 14889970205 15044351564 16145157776 17095854050 18346770200 18805439455 19000416964 20181447220 20390691376 21658138480 22199591942 23171240200 23750521205 23823952328 25226809025 25488364220 27072673100 27353366480 28037200642 29053600400 29779940410 30088703128 31860455275 34191708100 36693540400 37610878910 38000833928 40362894440 41371966801 44399183884 46342480400 47501042410 47647904656 50453618050 50976728440 52251146651 54145346200 55498979855 56074401284 59559880820 60177406256 63720910550 68383416200 70093001605 74449851025 75221757820 76001667856 80725788880 82743933602 88798367768 94027197275 95002084820 100907236100 101953456880 104502293302 108290692400 110997959710 112148802568 118752606025 119119761640 122097755681 127441821100 136766832400 140186003210 148899702050 150443515640 154204603531 165487867204 177596735536 188054394550 190004169640 194754273881 201814472200 206859834005 209004586604 221995919420 224297605136 237505212050 238239523280 244195511362 254883642200 261255733255 277494899275 280372006420 297799404100 300887031280 308409207062 330975734408 350465008025 376108789100 380008339280 389508547762 403628944400 413719668010 418009173208 443991838840 455091634811 475010424100 488391022724 509767284400 522511466510 554989798550 560744012840 574762613161 595598808200 610488778405 616818414124 661951468816 700930016050 752217578200 771023017655 779017095524 827439336020 836018346416 887983677680 910183269622 950020848200 973771369405 976782045448 1034299170025 1045022933020 1109979597100 1121488025680 1149525226322 1191197616400 1220977556810 1233636828248 1306278666275 1401860032100 1504435156400 1542046035310 1558034191048 1654878672040 1696250638841 1820366539244 1900041696400 1947542738810 1953564090896 2068598340050 2090045866040 2142297012691 2219959194200 2275458174055 2299050452644 2441955113620 2467273656496 2612557332550 2803720064200 2873813065805 3052443892025 3084092070620 3116068382096 3309757344080 3392501277682 3640733078488 3855115088275 3895085477620 4137196680100 4180091732080 4284594025382 4439918388400 4550916348110 4598100905288 4868856847025 4883910227240 5006007982921 5225114665100 5607440128400 5747626131610 6104887784050 6168184141240 6322388744771 6785002555364 7281466156976 7710230176550 7790170955240 8274393360200 8481253194205 8569188050764 9101832696220 9196201810576 9737713694050 9767820454480 10012015965842 10450229330200 10711485063455 11377290870275 11495252263220 12209775568100 12336368282480 12644777489542 13570005110728 14369065329025 15420460353100 15580341910480 16548786720400 16962506388410 17138376101528 18203665392440 18658757027251 19475427388100 20024031931684 20900458660400 21422970126910 22754581740550 22990504526440 23565267139601 24419551136200 25030039914605 25289554979084 27140010221456 28738130658050 30840920706200 31611943723855 33925012776820 34276752203056 36407330784880 37317514054502 38950854776200 40048063863368 42406265971025 42845940253820 45509163481100 45981009052880 47130534279202 48839102272400 50060079829210 50579109958168 53557425317275 57476261316100 61681841412400 63223887447710 67850025553640 69546276192481 74635028109004 77901709552400 80096127726736 84812531942050 85691880507640 91018326962200 93293785136255 94261068558404 100120159658420 101158219916336 107114850634550 114952522632200 117826335698005 125150199573025 126447774895420 135700051107280 139092552384962 149270056218008 158059718619275 169625063884100 171383761015280 182036653924400 186587570272510 188522137116808 200240319316840 205246327299761 214229701269100 229905045264400 235652671396010 250300399146050 252895549790840 259217938535611 278185104769924 298540112436016 316119437238550 339250127768200 347731380962405 373175140545020 377044274233616 400480638633680 410492654599522 428459402538200 466468925681275 471305342792020 500600798292100 505791099581680 518435877071222 556370209539848 589131678490025 632238874477100 678500255536400 695462761924810 746350281090040 765009038117291 820985309199044 856918805076400 932937851362550 942610685584040 1001201596584200 1026231636498805 1036871754142444 1112740419079696 1178263356980050 1264477748954200 1296089692678055 1390925523849620 1492700562180080 1530018076234582 1641970618398088 1738656904812025 1865875702725100 1885221371168080 2002403193168400 2052463272997610 2073743508284888 2356526713960100 2528955497908400 2592179385356110 2781851047699240 2851397323891721 3060036152469164 3283941236796176 3477313809624050 3731751405450200 3825045190586455 4104926545995220 4147487016569776 4713053427920200 5131158182494025 5184358770712220 5563702095398480 5702794647783442 6120072304938328 6480448463390275 6954627619248100 7463502810900400 7650090381172910 8209853091990440 8415099419290201 9426106855840400 10262316364988050 10368717541424440 11405589295566884 12240144609876656 12960896926780550 13909255238496200 14256986619458605 15300180762345820 16419706183980880 16830198838580402 19125225952932275 20524632729976100 20737435082848880 22811178591133768 25921793853561100 27818510476992400 28513973238917210 30600361524691640 31365370562808931 33660397677160804 38250451905864550 41049265459952200 42075497096451005 45622357182267536 51843587707122200 57027946477834420 61200723049383280 62730741125617862 67320795354321608 71284933097293025 76500903811729100 82098530919904400 84150994192902010 103687175414244400 114055892955668840 125461482251235724 134641590708643216 142569866194586050 153001807623458200 156826852814044655 168301988385804020 210377485482255025 228111785911337680 250922964502471448 285139732389172100 306003615246916400 313653705628089310 336603976771608040 345019076190898241 420754970964510050 501845929004942896 570279464778344200 627307411256178620 673207953543216080 690038152381796482 784134264070223275 841509941929020100 1140558929556688400 1254614822512357240 1380076304763592964 1568268528140446550 1683019883858040200 1725095380954491205 2509229645024714480 2760152609527185928 3136537056280893100 3366039767716080400 3450190761908982410 5520305219054371856 6273074112561786200 6900381523817964820 8625476904772456025 12546148225123572400 13800763047635929640 17250953809544912050 27601526095271859280 34501907619089824100 69003815238179648200 138007630476359296400
- Sum of all divisors σ(n): 373837637893603812936
- Sum of proper divisors (its aliquot sum) s(n): 235830007417244516536
- 138007630476359296400 is an abundant number, because the sum of its proper divisors (235830007417244516536) is greater than itself. Its abundance is 97822376940885220136
Bases of 138007630476359296400
- Binary: 11101111011001111011001100010111000111101001100010011100101100100002
- Hexadecimal: 0x77B3D98B8F4C4E590
- Base-36: T4IME2C52TRBK
Squares and roots of 138007630476359296400
- 138007630476359296400 squared (1380076304763592964002) is 19046106069699335276181243266703052960000
- 138007630476359296400 cubed (1380076304763592964003) is 2628507968480609760562913545400542974177988655757537344000000
-
The
square root of 138007630476359296400 is 11747664894.6230712783 -
The
cube root of 138007630476359296400 is 5167744.4960803075
Scales and comparisons
How big is 138007630476359296400?- 138,007,630,476,359,296,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,007,630,476,359,296,400 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 138007630476359296400 cubic inches would be around 430645.4 feet tall.
Recreational maths with 138007630476359296400
- 138007630476359296400 backwards is 004692953674036700831
- The number of decimal digits it has is: 21
- The sum of 138007630476359296400's digits is 83
- More coming soon!
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The information we have on file for 138007630476359296400 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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