138339928895870240
138,339,928,895,870,240 is an even composite number composed of five prime numbers multiplied together.
What does the number 138339928895870240 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
138339928895870240 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138339928895870240:
25 × 5 × 77 × 11 × 4573
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 457 × 457 × 457)See below for interesting mathematical facts about the number 138339928895870240 from the Numbermatics database.
Names of 138339928895870240
- Cardinal: 138339928895870240 can be written as One hundred thirty-eight quadrillion, three hundred thirty-nine trillion, nine hundred twenty-eight billion, eight hundred ninety-five million, eight hundred seventy thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3833992889587024 × 1017
Factors of 138339928895870240
Divisors of 138339928895870240
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 160 176 196 220 224 245 280 308 343 352 385 392 440 457 490 539 560 616 686 770 784 880 914 980 1078 1120 1232 1372 1540 1568 1715 1760 1828 1960 2156 2285 2401 2464 2695 2744 3080 3199 3430 3656 3773 3920 4312 4570 4802 5027 5390 5488 6160 6398 6860 7312 7546 7840 8624 9140 9604 10054 10780 10976 12005 12320 12796 13720 14624 15092 15995 16807 17248 18280 18865 19208 20108 21560 22393 24010 25135 25592 26411 27440 30184 31990 33614 35189 36560 37730 38416 40216 43120 44786 48020 50270 51184 52822 54880 60368 63980 67228 70378 73120 75460 76832 80432 84035 86240 89572 96040 100540 102368 105644 111965 117649 120736 127960 132055 134456 140756 150920 156751 160864 168070 175945 179144 184877 192080 201080 208849 211288 223930 235298 246323 255920 264110 268912 281512 301840 313502 336140 351890 358288 369754 384160 402160 417698 422576 447860 470596 492646 511840 528220 537824 563024 588245 603680 627004 672280 703780 716576 739508 783755 804320 823543 835396 845152 895720 924385 941192 985292 1044245 1056440 1097257 1126048 1176490 1231615 1254008 1294139 1344560 1407560 1461943 1479016 1567510 1647086 1670792 1724261 1791440 1848770 1882384 1970584 2088490 2112880 2194514 2297339 2352980 2463230 2508016 2588278 2689120 2815120 2923886 2958032 3135020 3294172 3341584 3448522 3582880 3697540 3764768 3941168 4117715 4176980 4225760 4389028 4594678 4705960 4926460 5016032 5176556 5486285 5630240 5847772 5916064 6270040 6470695 6588344 6683168 6897044 7309715 7395080 7680799 7882336 8235430 8353960 8621305 8778056 9058973 9189356 9411920 9852920 10233601 10353112 10972570 11486695 11695544 12069827 12540080 12941390 13176688 13794088 14619430 14790160 15361598 16081373 16470860 16707920 17242610 17556112 18117946 18378712 18823840 19705840 20467202 20706224 21945140 22973390 23391088 24139654 25080160 25882780 26353376 27588176 29238860 29580320 30723196 32162746 32941720 33415840 34485220 35112224 36235892 36757424 38403995 39411680 40934404 41412448 43890280 45294865 45946780 46782176 48279308 51168005 51765560 53765593 55176352 58477720 60349135 61446392 64325492 65883440 68970440 71635207 72471784 73514848 76807990 80406865 81868808 84488789 87780560 90589730 91893560 95443993 96558616 102336010 103531120 107531186 112569611 116955440 120698270 122892784 128650984 131766880 137940880 143270414 144943568 153615980 160813730 163737616 168977578 175561120 181179460 183787120 190887986 193117232 204672020 207062240 215062372 225139222 233910880 241396540 245785568 257301968 268827965 275881760 286540828 289887136 307231960 321627460 327475232 337955156 358176035 362358920 367574240 376359151 381775972 386234464 409344040 422443945 430124744 450278444 477219965 482793080 501446449 514603936 537655930 562848055 573081656 591421523 614463920 643254920 668107951 675910312 716352070 724717840 752718302 763551944 787987277 818688080 844887890 860249488 900556888 954439930 965586160 1002892898 1049883923 1075311860 1125696110 1146163312 1182843046 1228927840 1286509840 1336215902 1351820624 1432704140 1449435680 1505436604 1527103888 1575974554 1637376160 1689775780 1720498976 1801113776 1881795755 1908879860 1931172320 2005785796 2099767846 2150623720 2251392220 2292326624 2365686092 2507232245 2573019680 2672431804 2703641248 2865408280 2957107615 3010873208 3054207776 3151949108 3340539755 3379551560 3510125143 3602227552 3763591510 3817759720 3939936385 4011571592 4139950661 4199535692 4301247440 4502784440 4676755657 4731372184 5014464490 5249419615 5344863608 5515910939 5730816560 5914215230 6021746416 6303898216 6681079510 6759103120 7020250286 7349187461 7527183020 7635519440 7879872770 8023143184 8279901322 8399071384 8602494880 9005568880 9353511314 9462744368 10028928980 10498839230 10689727216 11031821878 11461633120 11828430460 12043492832 12607796432 13362159020 13518206240 14040500572 14698374922 15054366040 15271038880 15759745540 16046286368 16559802644 16798142768 17550625715 18011137760 18707022628 18925488736 20057857960 20699753305 20997678460 21379454432 22063643756 23383778285 23656860920 24570876001 25215592864 26724318040 27579554695 28081001144 29396749844 30108732080 31519491080 32737289599 33119605288 33596285536 35101251430 36745937305 37414045256 38611376573 40115715920 41399506610 41995356920 44127287512 46767556570 47313721840 49141752002 51444312227 53448636080 55159109390 56162002288 58793499688 60217464160 63038982160 65474579198 66239210576 70202502860 73491874610 74828090512 77222753146 80231431840 82799013220 83990713840 88254575024 93535113140 94627443680 98283504004 102888624454 106897272160 110318218780 112324004576 117586999376 122854380005 126077964320 130949158396 132478421152 140405005720 146983749220 149656181024 154445506292 163686447995 165598026440 167981427680 171996132007 176509150048 187070226280 193056882865 196567008008 205777248908 220636437560 229161027193 235173998752 245708760010 257221561135 261898316792 270279636011 280810011440 293967498440 308891012584 327372895990 331196052880 343992264014 360110185589 374140452560 386113765730 393134016016 411554497816 441272875120 458322054386 491417520020 514443122270 523796633584 540559272022 561620022880 587934996880 617782025168 654745791980 662392105760 687984528028 720220371178 748280905120 772227531460 786268032032 823108995632 859980660035 882545750240 916644108772 982835040040 1028886244540 1047593267168 1081118544044 1145805135965 1175869993760 1235564050336 1309491583960 1351398180055 1375969056056 1440440742356 1544455062920 1604127190351 1646217991264 1719961320070 1800550927945 1833288217544 1891957452077 1965670080080 2057772489080 2162237088088 2291610271930 2520771299123 2618983167920 2702796360110 2751938112112 2880881484712 3088910125840 3208254380702 3439922640140 3601101855890 3666576435088 3783914904154 3931340160160 4115544978160 4324474176176 4583220543860 5041542598246 5237966335840 5405592720220 5503876224224 5761762969424 6177820251680 6416508761404 6879845280280 7202203711780 7333152870176 7567829808308 8020635951755 8231089956320 8648948352352 9166441087720 9459787260385 10083085196492 10811185440440 11228890332457 11523525938848 12603856495615 12833017522808 13759690560560 14404407423560 15135659616616 16041271903510 17645399093861 18332882175440 18919574520770 20166170392984 21622370880880 22457780664914 25207712991230 25666035045616 27519381121120 28808814847120 30271319233232 32082543807020 35290798187722 36665764350880 37839149041540 40332340785968 43244741761760 44915561329828 50415425982460 51332070091232 56144451662285 57617629694240 60542638466464 64165087614040 70581596375444 75678298083080 78602232327199 80664681571936 88226995469305 89831122659656 100830851964920 112288903324570 123517793657027 128330175228080 141163192750888 151356596166160 157204464654398 176453990938610 179662245319312 201661703929840 224577806649140 247035587314054 256660350456160 282326385501776 302713192332320 314408929308796 352907981877220 359324490638624 393011161635995 403323407859680 449155613298280 494071174628108 564652771003552 617588968285135 628817858617592 705815963754440 786022323271990 864624555599189 898311226596560 988142349256216 1235177936570270 1257635717235184 1411631927508880 1572044646543980 1729249111198378 1796622453193120 1976284698512432 2470355873140540 2515271434470368 2823263855017760 3144089293087960 3458498222396756 3952569397024864 4323122777995945 4940711746281080 6288178586175920 6916996444793512 8646245555991890 9881423492562160 12576357172351840 13833992889587024 17292491111983780 19762846985124320 27667985779174048 34584982223967560 69169964447935120 138339928895870240
- Sum of all divisors σ(n): 416875140743040000
- Sum of proper divisors (its aliquot sum) s(n): 278535211847169760
- 138339928895870240 is an abundant number, because the sum of its proper divisors (278535211847169760) is greater than itself. Its abundance is 140195282951299520
Bases of 138339928895870240
- Binary: 1111010110111101101101110101100000001011101010101001000002
- Hexadecimal: 0x1EB7B6EB0175520
- Base-36: 11U5ETZDHG68
Squares and roots of 138339928895870240
- 138339928895870240 squared (1383399288958702402) is 19137935926914433800468926917657600
- 138339928895870240 cubed (1383399288958702403) is 2647540695343063286067093984316223982917174349824000
-
The
square root of 138339928895870240 is 371940759.9280700507 -
The
cube root of 138339928895870240 is 517188.8848815715
Scales and comparisons
How big is 138339928895870240?- 138,339,928,895,870,240 seconds is equal to 4,398,781,825 years, 20 weeks, 2 days, 22 hours, 37 minutes, 20 seconds.
-
To count from 1 to 138,339,928,895,870,240 would take you about thirteen billion, one hundred ninety-six million, three hundred forty-five thousand, four hundred seventy-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 138339928895870240 cubic inches would be around 43099.1 feet tall.
Recreational maths with 138339928895870240
- 138339928895870240 backwards is 042078598829933831
- The number of decimal digits it has is: 18
- The sum of 138339928895870240's digits is 89
- More coming soon!
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"Number 138339928895870240 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 138339928895870240 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138339928895870240/
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The information we have on file for 138339928895870240 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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