138384544248299700
138,384,544,248,299,700 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138384544248299700 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 864 divisors.
138384544248299700 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138384544248299700:
22 × 32 × 52 × 13 × 61 × 691 × 701 × 400291
(2 × 2 × 3 × 3 × 5 × 5 × 13 × 61 × 691 × 701 × 400291)See below for interesting mathematical facts about the number 138384544248299700 from the Numbermatics database.
Names of 138384544248299700
- Cardinal: 138384544248299700 can be written as One hundred thirty-eight quadrillion, three hundred eighty-four trillion, five hundred forty-four billion, two hundred forty-eight million, two hundred ninety-nine thousand, seven hundred.
Scientific notation
- Scientific notation: 1.383845442482997 × 1017
Factors of 138384544248299700
Divisors of 138384544248299700
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 61 65 75 78 90 100 117 122 130 150 156 180 183 195 225 234 244 260 300 305 325 366 390 450 468 549 585 610 650 691 701 732 780 793 900 915 975 1098 1170 1220 1300 1382 1402 1525 1586 1830 1950 2073 2103 2196 2340 2379 2745 2764 2804 2925 3050 3172 3455 3505 3660 3900 3965 4146 4206 4575 4758 5490 5850 6100 6219 6309 6910 7010 7137 7930 8292 8412 8983 9113 9150 9516 10365 10515 10980 11700 11895 12438 12618 13725 13820 14020 14274 15860 17275 17525 17966 18226 18300 19825 20730 21030 23790 24876 25236 26949 27339 27450 28548 31095 31545 34550 35050 35685 35932 36452 39650 41460 42060 42151 42761 44915 45565 47580 51825 52575 53898 54678 54900 59475 62190 63090 69100 70100 71370 79300 80847 82017 84302 85522 89830 91130 103650 105150 107796 109356 118950 124380 126180 126453 128283 134745 136695 142740 155475 157725 161694 164034 168604 171044 178425 179660 182260 207300 210300 210755 213805 224575 227825 237900 252906 256566 269490 273390 310950 315450 323388 328068 356850 379359 384849 400291 404235 410085 421510 427610 449150 455650 484391 505812 513132 538980 546780 547963 555893 621900 630900 632265 641415 673725 683475 713700 758718 769698 800582 808470 820170 843020 855220 898300 911300 968782 1053775 1069025 1095926 1111786 1200873 1264530 1282830 1347450 1366950 1453173 1517436 1539396 1601164 1616940 1640340 1643889 1667679 1896795 1924245 1937564 2001455 2021175 2050425 2107550 2138050 2191852 2223572 2401746 2421955 2529060 2565660 2694900 2733900 2739815 2779465 2906346 3161325 3207075 3287778 3335358 3602619 3793590 3848490 4002910 4042350 4100850 4215100 4276100 4359519 4803492 4843910 4931667 5003037 5203783 5479630 5558930 5812692 6004365 6297083 6322650 6414150 6575556 6670716 7205238 7265865 7587180 7696980 8005820 8084700 8201700 8219445 8338395 8719038 9483975 9621225 9687820 9863334 10006074 10007275 10407566 10959260 11117860 12008730 12109775 12594166 12645300 12828300 13699075 13897325 14410476 14531730 15611349 16438890 16676790 17438076 18013095 18891249 18967950 19242450 19726668 20012148 20014550 20815132 21797595 24017460 24219550 24417751 24658335 25015185 25188332 26018915 27398150 27794650 29063460 29547851 30021825 31222698 31485415 32877780 33353580 36026190 36329325 37782498 37935900 38484900 40029100 41097225 41691975 43595190 46834047 48439100 48835502 49316670 50030370 52037830 54796300 55589300 56673747 59095702 60043650 62445396 62970830 72052380 72658650 73253253 75564996 78056745 82194450 83383950 87190380 88643553 90065475 93668094 94456245 97671004 98633340 100060740 104075660 108987975 113347494 118191404 120087300 122088755 123291675 125075925 125941660 130094575 145317300 146506506 147739255 156113490 157427075 164388900 166767900 177287106 180130950 187336188 188912490 217975950 219759759 226694988 234170235 244177510 246583350 250151850 260189150 265930659 276601081 280603991 283368735 293013012 295478510 312226980 314854150 317430763 354574212 360261900 366266265 377824980 384122063 390283725 435951900 439519518 443217765 468340470 472281225 488355020 493166700 500303700 520378300 531861318 553202162 561207982 566737470 590957020 610443775 629708300 634861526 732532530 738696275 768244126 780567450 829803243 841811973 879039036 886435530 936680940 944562450 952292289 1063722636 1098798795 1106404324 1122415964 1133474940 1152366189 1170851175 1220887550 1269723052 1329653295 1383005405 1403019955 1416843675 1465065060 1477392550 1536488252 1561134900 1587153815 1659606486 1683623946 1772871060 1831331325 1889124900 1904584578 1920610315 2197597590 2216088825 2304732378 2341702350 2441775100 2489409729 2525435919 2659306590 2766010810 2806039910 2833687350 2856876867 2954785100 3174307630 3319212972 3367247892 3457098567 3595814053 3647851883 3662662650 3809169156 3841220630 4149016215 4209059865 4395195180 4432177650 4609464756 4683404700 4761461445 4978819458 5050871838 5318613180 5493993975 5532021620 5612079820 5667374700 5713753734 5761830945 6348615260 6648266475 6914197134 6915027025 7015099775 7191628106 7295703766 7325325300 7682441260 7935769075 8298032430 8418119730 8864355300 9522922890 9603051575 9957638916 10101743676 10787442159 10943555649 10987987950 11427507468 11523661890 12447048645 12627179595 13296532950 13828394268 13830054050 14030199550 14284384335 14383256212 14591407532 15871538150 16596064860 16836239460 16872665941 17116843451 17285492835 17979070265 18239259415 19045845780 19206103150 20745081075 21045299325 21574884318 21887111298 21975975900 23047323780 23807307225 24894097290 25254359190 26593065900 27660108100 28060399100 28568768670 28809154725 31743076300 32362326477 32830666947 33745331882 34233686902 34570985670 35958140530 36478518830 38412206300 41490162150 42090598650 43149768636 43774222596 47614614450 49788194580 50508718380 50617997823 51350530353 53937210795 54717778245 57137537340 57618309450 62235243225 63135897975 64724652954 65661333894 67490663764 68467373804 69141971340 71421921675 71916281060 72957037660 82980324300 84181197300 84363329705 85584217255 86427464175 89895351325 91196297075 95229228900 101235995646 102701060706 107874421590 109435556490 115236618900 124470486450 126271795950 129449305908 131322667788 142843843350 151853993469 154051591059 161811632385 164153334735 168726659410 171168434510 172854928350 179790702650 182392594150 193897357781 202471991292 205402121412 215748843180 218871112980 219344657233 222518964863 248940972900 252543591900 253089989115 256752651765 269686053975 273588891225 285687686700 303707986938 308103182118 323623264770 328306669470 337453318820 342336869020 345709856700 359581405300 364785188300 387794715562 421816648525 427921086275 438689314466 445037929726 506179978230 513505303530 539372107950 547177782450 581692073343 607415973876 616206364236 647246529540 656613338940 658033971699 667556894589 759269967345 770257955295 775589431124 809058161925 820766673675 843633297050 855842172550 877378628932 890075859452 969486788905 1012359956460 1027010607060 1078744215900 1094355564900 1096723286165 1112594824315 1163384146686 1265449945575 1283763258825 1316067943398 1335113789178 1518539934690 1540515910590 1618116323850 1641533347350 1687266594100 1711684345100 1745076220029 1938973577810 1974101915097 2002670683767 2193446572330 2225189648630 2326768293372 2520665651153 2530899891150 2567526517650 2632135886796 2670227578356 2908460366715 3037079869380 3081031821180 3236232647700 3283066694700 3290169858495 3337784472945 3490152440058 3796349836725 3851289776475 3877947155620 3948203830194 4005341367534 4386893144660 4450379297260 4847433944525 5041331302306 5061799782300 5135053035300 5483616430825 5562974121575 5816920733430 6580339716990 6675568945890 6980304880116 7561996953459 7592699673450 7702579552950 7896407660388 8010682735068 8725381100145 9694867889050 9870509575485 10013353418835 10082662604612 10967232861650 11125948243150 11633841466860 11827738824641 12603328255765 13160679433980 13351137891780 14542301833575 15123993906918 15185399346900 15405159105900 16450849292475 16688922364725 17450762200290 19389735778100 19741019150970 20026706837670 21934465723300 22251896486300 22685990860377 23655477649282 25206656511530 29084603667150 30247987813836 32901698584950 33377844729450 34901524400580 35483216473923 37809984767295 39482038301940 40053413675340 43626905500725 45371981720754 47310955298564 49352547877425 50066767094175 50413313023060 58169207334300 59138694123205 63016641278825 65803397169900 66755689458900 70966432947846 75619969534590 87253811001450 90743963441508 98705095754850 100133534188350 106449649421769 113429954301885 118277388246410 126033282557650 141932865895692 151239939069180 153760604720333 174507622002900 177416082369615 189049923836475 197410191509700 200267068376700 212899298843538 226859908603770 236554776492820 252066565115300 295693470616025 307521209440666 354832164739230 378099847672950 425798597687076 453719817207540 461281814160999 532248247108845 567149771509425 591386941232050 615042418881332 709664329478460 756199695345900 768803023601665 887080411848075 922563628321998 1064496494217690 1134299543018850 1182773882464100 1383845442482997 1537606047203330 1774160823696150 1845127256643996 2128992988435380 2268599086037700 2306409070804995 2661241235544225 2767690884965994 3075212094406660 3548321647392300 3844015118008325 4612818141609990 5322482471088450 5535381769931988 6919227212414985 7688030236016650 9225636283219980 10644964942176900 11532045354024975 13838454424829970 15376060472033300 23064090708049950 27676908849659940 34596136062074925 46128181416099900 69192272124149850 138384544248299700
- Sum of all divisors σ(n): 476149056997670784
- Sum of proper divisors (its aliquot sum) s(n): 337764512749371084
- 138384544248299700 is an abundant number, because the sum of its proper divisors (337764512749371084) is greater than itself. Its abundance is 199379968501071384
Bases of 138384544248299700
- Binary: 1111010111010010000000010100000100101001100000000101101002
- Hexadecimal: 0x1EBA402825300B4
- Base-36: 11UL85ZQDXH0
Squares and roots of 138384544248299700
- 138384544248299700 squared (1383845442482997002) is 19150282086809617581326341020090000
- 138384544248299700 cubed (1383845442482997003) is 2650103058809526640876430619811705566346040973000000
-
The
square root of 138384544248299700 is 372000731.5158126137 -
The
cube root of 138384544248299700 is 517244.4776147375
Scales and comparisons
How big is 138384544248299700?- 138,384,544,248,299,700 seconds is equal to 4,400,200,455 years, 30 weeks, 6 days, 19 hours, 15 minutes.
-
To count from 1 to 138,384,544,248,299,700 would take you about thirteen billion, two hundred million, six hundred one thousand, three hundred sixty-six 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 138384544248299700 cubic inches would be around 43103.7 feet tall.
Recreational maths with 138384544248299700
- 138384544248299700 backwards is 007992842445483831
- The number of decimal digits it has is: 18
- The sum of 138384544248299700's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138384544248299700 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138384544248299700 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138384544248299700/
Chicago style:
Numbermatics. 2024. "Number 138384544248299700 - Facts about the integer". https://numbermatics.com/n/138384544248299700/
The information we have on file for 138384544248299700 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!
Keywords: Divisors of 138384544248299700, math, Factors of 138384544248299700, curriculum, school, college, exams, university, Prime factorization of 138384544248299700, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred eighty-four trillion, five hundred forty-four billion, two hundred forty-eight million, two hundred ninety-nine thousand, seven hundred.