138790504841491200
138,790,504,841,491,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 138790504841491200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1458 divisors.
138790504841491200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-eight divisors.
Prime factorization of 138790504841491200:
28 × 3 × 52 × 292 × 832 × 11172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 29 × 83 × 83 × 1117 × 1117)See below for interesting mathematical facts about the number 138790504841491200 from the Numbermatics database.
Names of 138790504841491200
- Cardinal: 138790504841491200 can be written as One hundred thirty-eight quadrillion, seven hundred ninety trillion, five hundred four billion, eight hundred forty-one million, four hundred ninety-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.387905048414912 × 1017
Factors of 138790504841491200
Divisors of 138790504841491200
- Number of divisors d(n): 1458
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 64 75 80 83 87 96 100 116 120 128 145 150 160 166 174 192 200 232 240 249 256 290 300 320 332 348 384 400 415 435 464 480 498 580 600 640 664 696 725 768 800 830 841 870 928 960 996 1117 1160 1200 1245 1280 1328 1392 1450 1600 1660 1682 1740 1856 1920 1992 2075 2175 2234 2320 2400 2407 2490 2523 2656 2784 2900 3200 3320 3351 3364 3480 3712 3840 3984 4150 4205 4350 4468 4640 4800 4814 4980 5046 5312 5568 5585 5800 6225 6400 6640 6702 6728 6889 6960 7221 7424 7968 8300 8410 8700 8936 9280 9600 9628 9960 10092 10624 11136 11170 11600 12035 12450 12615 13280 13404 13456 13778 13920 14442 15936 16600 16755 16820 17400 17872 18560 19200 19256 19920 20184 20667 21025 21248 22272 22340 23200 24070 24900 25230 26560 26808 26912 27556 27840 27925 28884 31872 32393 33200 33510 33640 34445 34800 35744 36105 37120 38512 39840 40368 41334 42050 44680 46400 48140 49800 50460 53120 53616 53824 55112 55680 55850 57768 60175 63075 63744 64786 66400 67020 67280 68890 69600 69803 71488 72210 77024 79680 80736 82668 83775 84100 89360 92711 92800 96280 97179 99600 100920 103335 106240 107232 107648 110224 111360 111700 115536 120350 126150 129572 132800 134040 134560 137780 139200 139606 142976 144420 154048 159360 161472 161965 165336 167550 168200 172225 178720 180525 185422 185600 192560 194358 199200 199781 201840 206670 209409 214464 215296 220448 223400 231072 240700 252300 259144 265600 268080 269120 275560 278133 278400 279212 285952 288840 308096 318720 322944 323930 330672 335100 336400 344450 349015 357440 361050 370844 385120 388716 398400 399562 403680 413340 418818 428928 440896 446800 462144 463555 481400 485895 504600 516675 518288 531200 536160 538240 551120 556266 556800 558424 577680 599343 616192 645888 647860 661344 670200 672800 688900 698030 714880 722100 741688 770240 777432 796800 799124 807360 809825 826680 837636 857856 881792 893600 924288 927110 939397 962800 971790 998905 1009200 1033350 1036576 1047045 1072320 1076480 1102240 1112532 1116848 1155360 1198686 1247689 1295720 1322688 1340400 1345600 1377800 1390665 1396060 1429760 1444200 1483376 1540480 1554864 1593600 1598248 1614720 1619650 1653360 1675272 1745075 1763584 1787200 1848576 1854220 1878794 1925600 1943580 1997810 2018400 2066700 2073152 2094090 2144640 2204480 2225064 2233696 2310720 2317775 2397372 2429475 2495378 2591440 2645376 2680800 2688619 2691200 2755600 2781330 2792120 2818191 2888400 2966752 2996715 3080960 3109728 3196496 3229440 3239300 3306720 3350544 3490150 3574400 3708440 3743067 3757588 3851200 3887160 3995620 4036800 4133400 4146304 4188180 4289280 4408960 4450128 4467392 4621440 4635550 4696985 4794744 4858950 4990756 4994525 5182880 5235225 5290752 5361600 5377238 5382400 5511200 5562660 5584240 5636382 5776800 5793649 5933504 5993430 6219456 6238445 6392992 6478600 6613440 6701088 6953325 6980300 7148800 7416880 7486134 7515176 7695013 7702400 7774320 7991240 8065857 8073600 8266800 8292608 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223369600 225455280 230850390 231745960 233909853 239556288 239737200 240485632 246240416 249537800 255719680 258107424 268043520 268861900 278095152 281819100 289463848 289682450 296675200 299445360 300607040 307800520 310674561 310972800 311879804 319408384 319649600 322634280 335054400 344143232 347618940 356010240 360728448 361829810 369360624 370793536 374306700 375758800 383579520 384750650 389849755 399260480 403292850 414232748 430179040 434195772 434523675 445012800 446310754 446739200 450910560 461700780 463491920 467819706 479112576 479474400 492480832 499075600 516214848 517790935 537723800 542744715 556190304 563638200 577125975 578927696 579364900 593350400 598890720 601214080 615601040 621349122 621945600 623759608 639299200 645268560 669466131 670108800 688286464 695237880 721456896 723659620 738721248 741587072 748613400 751517600 767159040 769501300 779699510 798520960 806585700 828465496 860358080 868391544 869047350 890025600 892621508 901821120 904574525 923401560 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14281944128 14473192400 14774424960 14970230592 15015937115 15533728050 15593990200 15739596735 16569309920 16736653275 16788903184 17190659042 17207161600 17367830880 17852430160 18019124538 18036422400 18468031200 18539676800 18712788240 19414517799 19883171904 19960307456 20711637400 20986128980 21422916192 21709788600 22247612160 22315537700 23157107840 23390985300 23955628800 24025499384 24624041600 24853964880 24950384320 25183354776 25785988563 25810742400 25886023732 26232661225 26510895872 26778645240 27788529408 27809515200 28563888256 28946384800 29548849920 29940461184 30031874230 31067456100 31187980400 31479193470 32357529665 33138619840 33473306550 33577806368 34381318084 34735661760 35704860320 36038249076 36936062400 37079353600 37425576480 38829035598 39766343808 41423274800 41972257960 42845832384 42976647605 43419577200 44631075400 45047811345 46314215680 46781970600 48050998768 49248083200 49707929760 49900768640 50366709552 51571977126 51621484800 51772047464 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214229161920 214883238025 225239056725 231571078400 240254993840 248539648800 249264556109 249503843200 251833547760 257859885630 258860237320 261277305801 267786452400 268622450944 275050544672 285638882560 288305992608 299404611840 300318742300 310632284784 314791934700 323575296650 331386198400 335778063680 343813180840 347356617600 348369741068 357048603200 360382490760 374255764800 384407990144 388290355980 397663438080 402933676416 412575817008 414176379712 419722579600 428458323840 429766476050 435462176335 450478113450 480509987680 485362944975 497079297600 498529112218 499007686400 503667095520 515719771260 517720474640 522554611602 535572904800 550101089344 576611985216 600637484600 621264569568 629583869400 644649714075 647150593300 662772396800 671556127360 687626361680 694713235200 696739482136 714097206400 720764981520 747793668327 748511529600 768815980288 776580711960 805867352832 825151634016 828352759424 839445159200 856916647680 859532952100 870924352670 900956226900 961019975360 970725889950 994158595200 997058224436 1007334191040 1031439542520 1035440949280 1045109223204 1071145809600 1100202178688 1153223970432 1201274969200 1242529139136 1246322780545 1259167738800 1289299428150 1294301186600 1306386529005 1343112254720 1375252723360 1393478964272 1428194412800 1441529963040 1495587336654 1497023059200 1553161423920 1650303268032 1656705518848 1678890318400 1719065904200 1741848705340 1801912453800 1922039950720 1941451779900 1988317190400 1994116448872 2014668382080 2062879085040 2070881898560 2090218446408 2142291619200 2177310881675 2200404357376 2306447940864 2402549938400 2485058278272 2492645561090 2518335477600 2578598856300 2588602373200 2612773058010 2750505446720 2786957928544 2883059926080 2991174673308 3106322847840 3300606536064 3357780636800 3438131808400 3483697410680 3603824907600 3738968341635 3844079901440 3882903559800 3988232897744 4029336764160 4125758170080 4141763797120 4180436892816 4284583238400 4354621763350 4805099876800 4970116556544 4985291122180 5036670955200 5157197712600 5177204746400 5225546116020 5501010893440 5573915857088 5766119852160 5982349346616 6212645695680 6231613902725 6531932645025 6601213072128 6715561273600 6876263616800 6967394821360 7207649815200 7228672127161 7477936683270 7765807119600 7976465795488 8251516340160 8283527594240 8360873785632 8709243526700 9610199753600 9970582244360 10073341910400 10314395425200 10354409492800 10451092232040 11002021786880 11147831714176 11532239704320 11964698693232 12425291391360 12463227805450 13063865290050 13752527233600 13934789642720 14415299630400 14457344254322 14955873366540 15531614239200 15952931590976 16503032680320 16721747571264 17418487053400 18694841708175 19220399507200 19941164488720 20146683820800 20628790850400 20708818985600 20902184464080 21686016381483 22295663428352 23929397386464 24850582782720 24926455610900 26127730580100 27505054467200 27869579285440 28830599260800 28914688508644 29911746733080 31063228478400 31905863181952 33006065360640 33443495142528 34836974106800 36143360635805 37389683416350 39882328977440 41257581700800 41417637971200 41804368928160 43372032762966 47858794772928 49852911221800 52255461160200 55010108934400 55739158570880 57661198521600 57829377017288 59823493466160 62126456956800 63811726363904 66886990285056 69673948213600 72286721271610 74779366832700 79764657954880 82515163401600 83608737856320 86744065525932 95717589545856 99705822443600 104510922320400 108430081907415 111478317141760 115658754034576 119646986932320 124252913913600 139347896427200 144573442543220 149558733665400 159529315909760 165030326803200 167217475712640 173488131051864 180716803179025 191435179091712 199411644887200 209021844640800 216860163814830 231317508069152 239293973864640 278695792854400 289146885086440 299117467330800 319058631819520 334434951425280 346976262103728 361433606358050 398823289774400 418043689281600 433720327629660 462635016138304 478587947729280 542150409537075 557391585708800 578293770172880 598234934661600 693952524207456 722867212716100 797646579548800 836087378563200 867440655259320 925270032276608 957175895458560 1084300819074150 1156587540345760 1196469869323200 1387905048414912 1445734425432200 1595293159097600 1672174757126400 1734881310518640 1850540064553216 2168601638148300 2313175080691520 2392939738646400 2775810096829824 2891468850864400 3469762621037280 4337203276296600 4626350161383040 4785879477292800 5551620193659648 5782937701728800 6939525242074560 8674406552593200 9252700322766080 11565875403457600 13879050484149120 17348813105186400 23131750806915200 27758100968298240 34697626210372800 46263501613830400 69395252420745600 138790504841491200
- Sum of all divisors σ(n): 480591106684063284
- Sum of proper divisors (its aliquot sum) s(n): 341800601842572084
- 138790504841491200 is an abundant number, because the sum of its proper divisors (341800601842572084) is greater than itself. Its abundance is 203010097001080884
Bases of 138790504841491200
- Binary: 1111011010001010100111010100100110100011000110011000000002
- Hexadecimal: 0x1ED153A93463300
- Base-36: 11YL4LPPZBPC
Squares and roots of 138790504841491200
- 138790504841491200 squared (1387905048414912002) is 19262804234155992227237039677440000
- 138790504841491200 cubed (1387905048414912003) is 2673494324321324426203318150788264232376598528000000
-
The
square root of 138790504841491200 is 372545976.8156021841 -
The
cube root of 138790504841491200 is 517749.7745970561
Scales and comparisons
How big is 138790504841491200?- 138,790,504,841,491,200 seconds is equal to 4,413,108,746 years, 38 weeks, 3 days, 13 hours, 20 minutes.
-
To count from 1 to 138,790,504,841,491,200 would take you about thirteen billion, two hundred thirty-nine million, three hundred twenty-six thousand, two hundred forty 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 138790504841491200 cubic inches would be around 43145.8 feet tall.
Recreational maths with 138790504841491200
- 138790504841491200 backwards is 002194148405097831
- The number of decimal digits it has is: 18
- The sum of 138790504841491200's digits is 66
- More coming soon!
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"Number 138790504841491200 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138790504841491200 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138790504841491200/
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The information we have on file for 138790504841491200 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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