138728237946823508400
138,728,237,946,823,508,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138728237946823508400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1500 divisors.
138728237946823508400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred divisors.
Prime factorization of 138728237946823508400:
24 × 39 × 52 × 17 × 10094
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 1009 × 1009 × 1009 × 1009)See below for interesting mathematical facts about the number 138728237946823508400 from the Numbermatics database.
Names of 138728237946823508400
- Cardinal: 138728237946823508400 can be written as One hundred thirty-eight quintillion, seven hundred twenty-eight quadrillion, two hundred thirty-seven trillion, nine hundred forty-six billion, eight hundred twenty-three million, five hundred eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.387282379468235084 × 1020
Factors of 138728237946823508400
Divisors of 138728237946823508400
- Number of divisors d(n): 1500
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 34 36 40 45 48 50 51 54 60 68 72 75 80 81 85 90 100 102 108 120 135 136 144 150 153 162 170 180 200 204 216 225 240 243 255 270 272 300 306 324 340 360 400 405 408 425 432 450 459 486 510 540 600 612 648 675 680 720 729 765 810 816 850 900 918 972 1009 1020 1080 1200 1215 1224 1275 1296 1350 1360 1377 1458 1530 1620 1700 1800 1836 1944 2018 2025 2040 2160 2187 2295 2430 2448 2550 2700 2754 2916 3027 3060 3240 3400 3600 3645 3672 3825 3888 4036 4050 4080 4131 4374 4590 4860 5045 5100 5400 5508 5832 6054 6075 6120 6480 6561 6800 6885 7290 7344 7650 8072 8100 8262 8748 9081 9180 9720 10090 10200 10800 10935 11016 11475 11664 12108 12150 12240 12393 13122 13770 14580 15135 15300 16144 16200 16524 17153 17496 18162 18225 18360 19440 19683 20180 20400 20655 21870 22032 22950 24216 24300 24786 25225 26244 27243 27540 29160 30270 30600 32400 32805 33048 34306 34425 34992 36324 36450 36720 37179 39366 40360 41310 43740 45405 45900 48432 48600 49572 50450 51459 52488 54486 54675 55080 58320 60540 61200 61965 65610 66096 68612 68850 72648 72900 74358 75675 78732 80720 81729 82620 85765 87480 90810 91800 97200 98415 99144 100900 102918 103275 104976 108972 109350 110160 111537 121080 123930 131220 136215 137224 137700 145296 145800 148716 151350 154377 157464 163458 164025 165240 171530 174960 181620 183600 185895 196830 198288 201800 205836 206550 217944 218700 223074 227025 242160 245187 247860 257295 262440 272430 274448 275400 291600 297432 302700 308754 309825 314928 326916 328050 330480 334611 343060 363240 371790 393660 403600 408645 411672 413100 428825 435888 437400 446148 454050 463131 490374 492075 495720 514590 524880 544860 550800 557685 594864 605400 617508 619650 653832 656100 669222 681075 686120 726480 735561 743580 771885 787320 817290 823344 826200 857650 874800 892296 908100 926262 929475 980748 984150 991440 1018081 1029180 1089720 1115370 1210800 1225935 1235016 1239300 1286475 1307664 1312200 1338444 1362150 1372240 1389393 1471122 1487160 1543770 1574640 1634580 1652400 1673055 1715300 1784592 1816200 1852524 1858950 1961496 1968300 2036162 2043225 2058360 2179440 2206683 2230740 2315655 2451870 2470032 2478600 2572950 2624400 2676888 2724300 2778786 2788425 2942244 2974320 3054243 3087540 3269160 3346110 3430600 3632400 3677805 3705048 3717900 3859425 3922992 3936600 4072324 4086450 4116720 4168179 4413366 4461480 4631310 4903740 4957200 5090405 5145900 5353776 5448600 5557572 5576850 5884488 6108486 6129675 6175080 6538320 6620049 6692220 6861200 6946965 7355610 7410096 7435800 7718850 7873200 8144648 8172900 8336358 8365275 8826732 8922960 9162729 9262620 9807480 10180810 10291800 10897200 11033415 11115144 11153700 11578275 11768976 12216972 12259350 12350160 12504537 13240098 13384440 13893930 14711220 14871600 15271215 15437700 16289296 16345800 16672716 16730550 17307377 17653464 18325458 18389025 18525240 19614960 19860147 20361620 20583600 20840895 22066830 22230288 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339483507559920 343727051404419 352406233670740 373136012121960 381918946004910 404384766358140 414595569024400 419778013637205 422887480404888 424354384449900 440507792088425 447763214546352 449316407064600 458302735205892 466420015152450 475748415455499 503733616364646 505480957947675 509225261339880 528609350506110 539179688477520 559704018182940 565805845933200 572878419007365 611070313607856 621893353536600 634331220607332 636531576674850 671644821819528 673974610596900 687454102808838 699630022728675 704812467341480 746272024243920 755600424546969 763837892009820 792914025759165 808769532716280 839556027274410 845774960809776 848708768899800 881015584176850 898632814129200 916605470411784 932840030304900 951496830910998 954797365012275 1007467232729292 1010961915895350 1018450522679760 1057218701012220 1119408036365880 1145756838014730 1243786707073200 1259334040911615 1268662441214664 1273063153349700 1321523376265275 1343289643639056 1347949221193800 1374908205617676 1399260045457350 1409624934682960 1427245246366497 1511200849093938 1527675784019640 1585828051518330 1617539065432560 1679112054548820 1697417537799600 1718635257022095 1762031168353700 1833210940823568 1865680060609800 1902993661821996 1909594730024550 2014934465458584 2021923831790700 2098890068186025 2114437402024440 2238816072731760 2266801273640907 2291513676029460 2378742077277495 2518668081823230 2537324882429328 2546126306699400 2643046752530550 2695898442387600 2749816411235352 2798520090914700 2854490492732994 2864392095036825 3022401698187876 3055351568039280 3171656103036660 3358224109097640 3437270514044190 3524062336707400 3731360121219600 3778002122734845 3805987323643992 3819189460049100 3964570128795825 4029868930917168 4043847663581400 4197780136372050 4228874804048880 4281735739099491 4533602547281814 4583027352058920 4757484154554990 5037336163646460 5092252613398800 5286093505061100 5499632822470704 5597040181829400 5708980985465988 5728784190073650 6044803396375752 6296670204558075 6343312206073320 6716448218195280 6800403820922721 6874541028088380 7048124673414800 7136226231832485 7556004245469690 7611974647287984 7638378920098200 7929140257591650 8087695327162800 8395560272744100 8563471478198982 8593176285110475 9067205094563628 9166054704117840 9514968309109980 10074672327292920 10572187010122200 11194080363658800 11334006368204535 11417961970931976 11457568380147300 11893710386387475 12089606792751504 12593340409116150 12686624412146640 12845207217298473 13600807641845442 13749082056176760 14272452463664970 15112008490939380 15276757840196400 15858280515183300 16791120545488200 17126942956397964 17186352570220950 18134410189127256 18890010613674225 19029936618219960 20149344654585840 20401211462768163 21144374020244400 21408678695497455 22668012736409070 22835923941863952 22915136760294600 23787420772774950 25186680818232300 25690414434596946 27201615283690884 27498164112353520 28544904927329940 30224016981878760 31716561030366600 33582241090976400 34002019104613605 34253885912795928 34372705140441900 35681131159162425 36268820378254512 37780021227348450 38059873236439920 38535621651895419 40802422925536326 42817357390994910 45336025472818140 45830273520589200 47574841545549900 50373361636464600 51380828869193892 54403230567381768 56670031841022675 57089809854659880 60448033963757520 63433122060733200 64226036086492365 68004038209227210 68507771825591856 68745410280883800 71362262318324850 75560042454696900 77071243303790838 81604845851072652 85634714781989820 90672050945636280 95149683091099800 100746723272929200 102006057313840815 102761657738387784 107043393477487275 108806461134763536 113340063682045350 114179619709319760 115606864955686257 128452072172984730 136008076418454420 137490820561767600 142724524636649700 151120084909393800 154142486607581676 163209691702145304 170010095523068025 171269429563979640 181344101891272560 190299366182199600 192678108259477095 204012114627681630 205523315476775568 214086786954974550 226680127364090700 231213729911372514 256904144345969460 272016152836908840 285449049273299400 302240169818787600 308284973215163352 321130180432461825 326419383404290608 340020191046136050 342538859127959280 346820594867058771 385356216518954190 408024229255363260 428173573909949100 453360254728181400 462427459822745028 510030286569204075 513808288691938920 544032305673817680 570898098546598800 578034324778431285 616569946430326704 642260360864923650 680040382092272100 693641189734117542 770712433037908380 816048458510726520 856347147819898200 906720509456362800 924854919645490056 963390541297385475 1020060573138408150 1027616577383877840 1156068649556862570 1284520721729847300 1360080764184544200 1387282379468235084 1541424866075816760 1632096917021453040 1712694295639796400 1734102974335293855 1849709839290980112 1926781082594770950 2040121146276816300 2312137299113725140 2569041443459694600 2720161528369088400 2774564758936470168 2890171623892156425 3082849732151633520 3468205948670587710 3853562165189541900 4080242292553632600 4624274598227450280 5138082886919389200 5549129517872940336 5780343247784312850 6936411897341175420 7707124330379083800 8160484585107265200 8670514871676469275 9248549196454900560 11560686495568625700 13872823794682350840 15414248660758167600 17341029743352938550 23121372991137251400 27745647589364701680 34682059486705877100 46242745982274502800 69364118973411754200 138728237946823508400
- Sum of all divisors σ(n): 529866409379801163912
- Sum of proper divisors (its aliquot sum) s(n): 391138171432977655512
- 138728237946823508400 is an abundant number, because the sum of its proper divisors (391138171432977655512) is greater than itself. Its abundance is 252409933486154147112
Bases of 138728237946823508400
- Binary: 11110000101001111011011010101100110001000000100100000000001101100002
- Hexadecimal: 0x7853DB566204801B0
- Base-36: T9ZPS3DZ7OR00
Squares and roots of 138728237946823508400
- 138728237946823508400 squared (1387282379468235084002) is 19245524003830482037448137658884870560000
- 138728237946823508400 cubed (1387282379468235084003) is 2669897633414698578218540157910231359993538295299072704000000
-
The
square root of 138728237946823508400 is 11778295205.4541198955 -
The
cube root of 138728237946823508400 is 5176723.3535845299
Scales and comparisons
How big is 138728237946823508400?- 138,728,237,946,823,508,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,728,237,946,823,508,400 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 138728237946823508400 cubic inches would be around 431393.6 feet tall.
Recreational maths with 138728237946823508400
- 138728237946823508400 backwards is 004805328649732827831
- 138728237946823508400 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138728237946823508400's digits is 90
- More coming soon!
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Cite this page
MLA style:
"Number 138728237946823508400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138728237946823508400 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138728237946823508400/
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Numbermatics. 2024. "Number 138728237946823508400 - Facts about the integer". https://numbermatics.com/n/138728237946823508400/
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