138904614249431040
138,904,614,249,431,040 is an even composite number composed of four prime numbers multiplied together.
What does the number 138904614249431040 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 832 divisors.
138904614249431040 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 138904614249431040:
225 × 33 × 5 × 3133
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 313 × 313 × 313)See below for interesting mathematical facts about the number 138904614249431040 from the Numbermatics database.
Names of 138904614249431040
- Cardinal: 138904614249431040 can be written as One hundred thirty-eight quadrillion, nine hundred four trillion, six hundred fourteen billion, two hundred forty-nine million, four hundred thirty-one thousand and forty.
Scientific notation
- Scientific notation: 1.3890461424943104 × 1017
Factors of 138904614249431040
Divisors of 138904614249431040
- Number of divisors d(n): 832
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 313 320 360 384 432 480 512 540 576 626 640 720 768 864 939 960 1024 1080 1152 1252 1280 1440 1536 1565 1728 1878 1920 2048 2160 2304 2504 2560 2817 2880 3072 3130 3456 3756 3840 4096 4320 4608 4695 5008 5120 5634 5760 6144 6260 6912 7512 7680 8192 8451 8640 9216 9390 10016 10240 11268 11520 12288 12520 13824 14085 15024 15360 16384 16902 17280 18432 18780 20032 20480 22536 23040 24576 25040 27648 28170 30048 30720 32768 33804 34560 36864 37560 40064 40960 42255 45072 46080 49152 50080 55296 56340 60096 61440 65536 67608 69120 73728 75120 80128 81920 84510 90144 92160 97969 98304 100160 110592 112680 120192 122880 131072 135216 138240 147456 150240 160256 163840 169020 180288 184320 195938 196608 200320 221184 225360 240384 245760 262144 270432 276480 293907 294912 300480 320512 327680 338040 360576 368640 391876 393216 400640 442368 450720 480768 489845 491520 524288 540864 552960 587814 589824 600960 641024 655360 676080 721152 737280 783752 786432 801280 881721 884736 901440 961536 979690 983040 1048576 1081728 1105920 1175628 1179648 1201920 1282048 1310720 1352160 1442304 1469535 1474560 1567504 1572864 1602560 1763442 1769472 1802880 1923072 1959380 1966080 2097152 2163456 2211840 2351256 2359296 2403840 2564096 2621440 2645163 2704320 2884608 2939070 2949120 3135008 3145728 3205120 3526884 3538944 3605760 3846144 3918760 3932160 4194304 4326912 4408605 4423680 4702512 4718592 4807680 5128192 5242880 5290326 5408640 5769216 5878140 5898240 6270016 6291456 6410240 7053768 7077888 7211520 7692288 7837520 7864320 8388608 8653824 8817210 8847360 9405024 9437184 9615360 10256384 10485760 10580652 10817280 11538432 11756280 11796480 12540032 12582912 12820480 13225815 14107536 14155776 14423040 15384576 15675040 15728640 16777216 17307648 17634420 17694720 18810048 18874368 19230720 20512768 20971520 21161304 21634560 23076864 23512560 23592960 25080064 25165824 25640960 26451630 28215072 28311552 28846080 30664297 30769152 31350080 31457280 33554432 34615296 35268840 35389440 37620096 37748736 38461440 41025536 41943040 42322608 43269120 46153728 47025120 47185920 50160128 50331648 51281920 52903260 56430144 56623104 57692160 61328594 61538304 62700160 62914560 69230592 70537680 70778880 75240192 75497472 76922880 82051072 83886080 84645216 86538240 91992891 92307456 94050240 94371840 100320256 100663296 102563840 105806520 112860288 113246208 115384320 122657188 123076608 125400320 125829120 138461184 141075360 141557760 150480384 150994944 153321485 153845760 164102144 167772160 169290432 173076480 183985782 184614912 188100480 188743680 200640512 205127680 211613040 225720576 226492416 230768640 245314376 246153216 250800640 251658240 275978673 276922368 282150720 283115520 300960768 301989888 306642970 307691520 328204288 338580864 346152960 367971564 369229824 376200960 377487360 401281024 410255360 423226080 451441152 452984832 459964455 461537280 490628752 492306432 501601280 503316480 551957346 553844736 564301440 566231040 601921536 613285940 615383040 656408576 677161728 692305920 735943128 738459648 752401920 754974720 802562048 820510720 827936019 846452160 902882304 905969664 919928910 923074560 981257504 984612864 1003202560 1103914692 1107689472 1128602880 1132462080 1203843072 1226571880 1230766080 1312817152 1354323456 1379893365 1384611840 1471886256 1476919296 1504803840 1509949440 1605124096 1641021440 1655872038 1692904320 1805764608 1839857820 1846149120 1962515008 1969225728 2006405120 2207829384 2215378944 2257205760 2264924160 2407686144 2453143760 2461532160 2625634304 2708646912 2759786730 2769223680 2943772512 2953838592 3009607680 3210248192 3282042880 3311744076 3385808640 3611529216 3679715640 3692298240 3925030016 3938451456 4012810240 4139680095 4415658768 4430757888 4514411520 4529848320 4815372288 4906287520 4923064320 5251268608 5417293824 5519573460 5538447360 5887545024 5907677184 6019215360 6420496384 6564085760 6623488152 6771617280 7223058432 7359431280 7384596480 7850060032 7876902912 8025620480 8279360190 8831317536 8861515776 9028823040 9630744576 9812575040 9846128640 10502537216 10834587648 11039146920 11076894720 11775090048 11815354368 12038430720 12840992768 13128171520 13246976304 13543234560 14446116864 14718862560 14769192960 15700120064 15753805824 16051240960 16558720380 17662635072 17723031552 18057646080 19261489152 19625150080 19692257280 21669175296 22078293840 22153789440 23550180096 23630708736 24076861440 25681985536 26256343040 26493952608 27086469120 28892233728 29437725120 29538385920 31400240128 31507611648 32102481920 33117440760 35325270144 35446063104 36115292160 38522978304 39250300160 39384514560 43338350592 44156587680 44307578880 47100360192 47261417472 48153722880 51363971072 52512686080 52987905216 54172938240 57784467456 58875450240 59076771840 62800480256 64204963840 66234881520 70650540288 70892126208 72230584320 77045956608 78500600320 78769029120 86676701184 88313175360 88615157760 94200720384 94522834944 96307445760 102727942144 105975810432 108345876480 115568934912 117750900480 118153543680 125600960512 128409927680 132469763040 141301080576 141784252416 144461168640 154091913216 157001200640 157538058240 173353402368 176626350720 177230315520 188401440768 192614891520 205455884288 211951620864 216691752960 231137869824 235501800960 236307087360 251201921024 256819855360 264939526080 282602161152 283568504832 288922337280 308183826432 314002401280 346706804736 353252701440 354460631040 376802881536 385229783040 410911768576 423903241728 433383505920 462275739648 471003601920 472614174720 502403842048 513639710720 529879052160 565204322304 577844674560 616367652864 628004802560 693413609472 706505402880 708921262080 753605763072 770459566080 821823537152 847806483456 866767011840 924551479296 942007203840 1004807684096 1027279421440 1059758104320 1130408644608 1155689349120 1232735305728 1256009605120 1386827218944 1413010805760 1417842524160 1507211526144 1540919132160 1643647074304 1695612966912 1733534023680 1849102958592 1884014407680 2009615368192 2054558842880 2119516208640 2260817289216 2311378698240 2465470611456 2512019210240 2773654437888 2826021611520 3014423052288 3081838264320 3287294148608 3391225933824 3467068047360 3698205917184 3768028815360 4019230736384 4109117685760 4239032417280 4521634578432 4622757396480 4930941222912 5024038420480 5547308875776 5652043223040 6028846104576 6163676528640 6782451867648 6934136094720 7396411834368 7536057630720 8038461472768 8218235371520 8478064834560 9043269156864 9245514792960 9861882445824 10048076840960 11094617751552 11304086446080 12057692209152 12327353057280 13564903735296 13868272189440 14792823668736 15072115261440 16076922945536 16436470743040 16956129669120 18086538313728 18491029585920 20096153681920 22189235503104 22608172892160 24115384418304 24654706114560 27129807470592 27736544378880 29585647337472 30144230522880 32153845891072 33912259338240 36173076627456 36982059171840 40192307363840 44378471006208 45216345784320 48230768836608 49309412229120 54259614941184 55473088757760 60288461045760 64307691782144 67824518676480 72346153254912 73964118343680 80384614727680 88756942012416 90432691568640 96461537673216 108519229882368 110946177515520 120576922091520 128615383564288 135649037352960 144692306509824 147928236687360 160769229455360 180865383137280 192923075346432 217038459764736 221892355031040 241153844183040 257230767128576 271298074705920 289384613019648 321538458910720 361730766274560 385846150692864 434076919529472 443784710062080 482307688366080 514461534257152 542596149411840 578769226039296 643076917821440 723461532549120 771692301385728 868153839058944 964615376732160 1028923068514304 1085192298823680 1157538452078592 1286153835642880 1446923065098240 1543384602771456 1736307678117888 1929230753464320 2170384597647360 2315076904157184 2572307671285760 2893846130196480 3086769205542912 3472615356235776 3858461506928640 4340769195294720 4630153808314368 5144615342571520 5787692260392960 6945230712471552 7716923013857280 8681538390589440 9260307616628736 11575384520785920 13890461424943104 15433846027714560 17363076781178880 23150769041571840 27780922849886208 34726153562357760 46301538083143680 69452307124715520 138904614249431040
- Sum of all divisors σ(n): 495466024019169600
- Sum of proper divisors (its aliquot sum) s(n): 356561409769738560
- 138904614249431040 is an abundant number, because the sum of its proper divisors (356561409769738560) is greater than itself. Its abundance is 217656795520307520
Bases of 138904614249431040
- Binary: 1111011010111110100000010101111100000000000000000000000002
- Hexadecimal: 0x1ED7D02BE000000
- Base-36: 11ZPKQUP91C0
Squares and roots of 138904614249431040
- 138904614249431040 squared (1389046142494310402) is 19294491859783240723852963715481600
- 138904614249431040 cubed (1389046142494310403) is 2680093948921978347273144425975975018737239588864000
-
The
square root of 138904614249431040 is 372699093.4378980213 -
The
cube root of 138904614249431040 is 517891.6285286243
Scales and comparisons
How big is 138904614249431040?- 138,904,614,249,431,040 seconds is equal to 4,416,737,072 years, 49 weeks, 2 days, 14 hours, 24 minutes.
-
To count from 1 to 138,904,614,249,431,040 would take you about thirteen billion, two hundred fifty million, two hundred eleven thousand, two hundred eighteen 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 138904614249431040 cubic inches would be around 43157.6 feet tall.
Recreational maths with 138904614249431040
- 138904614249431040 backwards is 040134942416409831
- The number of decimal digits it has is: 18
- The sum of 138904614249431040's digits is 63
- More coming soon!
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The information we have on file for 138904614249431040 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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