138520281088000
138,520,281,088,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 138520281088000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 864 divisors.
138520281088000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138520281088000:
217 × 53 × 73 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 157 × 157)See below for interesting mathematical facts about the number 138520281088000 from the Numbermatics database.
Names of 138520281088000
- Cardinal: 138520281088000 can be written as One hundred thirty-eight trillion, five hundred twenty billion, two hundred eighty-one million, eighty-eight thousand.
Scientific notation
- Scientific notation: 1.38520281088 × 1014
Factors of 138520281088000
Divisors of 138520281088000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 140 157 160 175 196 200 224 245 250 256 280 314 320 343 350 392 400 448 490 500 512 560 628 640 686 700 784 785 800 875 896 980 1000 1024 1099 1120 1225 1256 1280 1372 1400 1568 1570 1600 1715 1750 1792 1960 2000 2048 2198 2240 2450 2512 2560 2744 2800 3136 3140 3200 3430 3500 3584 3920 3925 4000 4096 4396 4480 4900 5024 5120 5488 5495 5600 6125 6272 6280 6400 6860 7000 7168 7693 7840 7850 8000 8192 8575 8792 8960 9800 10048 10240 10976 10990 11200 12250 12544 12560 12800 13720 14000 14336 15386 15680 15700 16000 16384 17150 17584 17920 19600 19625 20096 20480 21952 21980 22400 24500 24649 25088 25120 25600 27440 27475 28000 28672 30772 31360 31400 32000 32768 34300 35168 35840 38465 39200 39250 40192 40960 42875 43904 43960 44800 49000 49298 50176 50240 51200 53851 54880 54950 56000 57344 61544 62720 62800 64000 65536 68600 70336 71680 76930 78400 78500 80384 81920 85750 87808 87920 89600 98000 98596 100352 100480 102400 107702 109760 109900 112000 114688 123088 123245 125440 125600 128000 131072 137200 137375 140672 143360 153860 156800 157000 160768 163840 171500 172543 175616 175840 179200 192325 196000 197192 200704 200960 204800 215404 219520 219800 224000 229376 246176 246490 250880 251200 256000 269255 274400 274750 281344 286720 307720 313600 314000 321536 327680 343000 345086 351232 351680 358400 384650 392000 394384 401408 401920 409600 430808 439040 439600 448000 458752 492352 492980 501760 502400 512000 538510 548800 549500 562688 573440 615440 616225 627200 628000 643072 655360 686000 690172 702464 703360 716800 769300 784000 788768 802816 803840 819200 861616 862715 878080 879200 896000 917504 961625 984704 985960 1003520 1004800 1024000 1077020 1097600 1099000 1125376 1146880 1207801 1230880 1232450 1254400 1256000 1286144 1346275 1372000 1380344 1404928 1406720 1433600 1538600 1568000 1577536 1605632 1607680 1638400 1723232 1725430 1756160 1758400 1792000 1923250 1969408 1971920 2007040 2009600 2048000 2154040 2195200 2198000 2250752 2293760 2415602 2461760 2464900 2508800 2512000 2572288 2692550 2744000 2760688 2809856 2813440 2867200 3077200 3081125 3136000 3155072 3211264 3215360 3276800 3446464 3450860 3512320 3516800 3584000 3846500 3938816 3943840 4014080 4019200 4096000 4308080 4313575 4390400 4396000 4501504 4587520 4831204 4923520 4929800 5017600 5024000 5144576 5385100 5488000 5521376 5619712 5626880 5734400 6039005 6154400 6162250 6272000 6310144 6422528 6430720 6731375 6892928 6901720 7024640 7033600 7168000 7693000 7877632 7887680 8028160 8038400 8192000 8454607 8616160 8627150 8780800 8792000 9003008 9662408 9847040 9859600 10035200 10048000 10289152 10770200 10976000 11042752 11239424 11253760 11468800 12078010 12308800 12324500 12544000 12620288 12861440 13462750 13785856 13803440 14049280 14067200 14336000 15386000 15755264 15775360 16056320 16076800 16384000 16909214 17232320 17254300 17561600 17584000 18006016 19324816 19694080 19719200 20070400 20096000 20578304 21540400 21567875 21952000 22085504 22478848 22507520 22937600 24156020 24617600 24649000 25088000 25240576 25722880 26925500 27571712 27606880 28098560 28134400 28672000 30195025 30772000 31510528 31550720 32112640 32153600 33818428 34464640 34508600 35123200 35168000 36012032 38649632 39388160 39438400 40140800 40192000 42273035 43080800 43135750 43904000 44171008 44957696 45015040 48312040 49235200 49298000 50176000 50481152 51445760 53851000 55143424 55213760 56197120 56268800 57344000 60390050 61544000 63021056 63101440 64307200 67636856 68929280 69017200 70246400 70336000 72024064 77299264 78776320 78876800 80281600 80384000 84546070 86161600 86271500 87808000 88342016 90030080 96624080 98470400 98596000 100352000 100962304 102891520 107702000 110286848 110427520 112394240 112537600 114688000 120780100 123088000 126042112 126202880 128614400 135273712 137858560 138034400 140492800 140672000 144048128 150975125 154598528 157552640 157753600 160563200 160768000 169092140 172323200 172543000 175616000 176684032 180060160 193248160 196940800 197192000 200704000 201924608 211365175 215404000 220573696 220855040 224788480 225075200 241560200 246176000 252084224 252405760 257228800 270547424 275717120 276068800 280985600 281344000 301950250 309197056 315105280 315507200 321536000 338184280 344646400 345086000 351232000 353368064 360120320 386496320 393881600 394384000 401408000 403849216 422730350 430808000 441147392 441710080 450150400 483120400 492352000 504168448 504811520 514457600 541094848 551434240 552137600 561971200 562688000 603900500 618394112 630210560 631014400 643072000 676368560 689292800 690172000 702464000 706736128 720240640 772992640 787763200 788768000 802816000 807698432 845460700 861616000 882294784 883420160 900300800 966240800 984704000 1008336896 1009623040 1056825875 1082189696 1102868480 1104275200 1123942400 1125376000 1207801000 1236788224 1260421120 1262028800 1286144000 1352737120 1378585600 1380344000 1404928000 1413472256 1545985280 1575526400 1577536000 1615396864 1690921400 1723232000 1764589568 1766840320 1800601600 1932481600 1969408000 2019246080 2113651750 2164379392 2205736960 2208550400 2250752000 2415602000 2473576448 2520842240 2524057600 2572288000 2705474240 2757171200 2760688000 2809856000 2826944512 3091970560 3151052800 3155072000 3230793728 3381842800 3446464000 3529179136 3533680640 3601203200 3864963200 3938816000 4038492160 4227303500 4328758784 4411473920 4417100800 4501504000 4831204000 4947152896 5041684480 5048115200 5410948480 5514342400 5521376000 5619712000 5653889024 6183941120 6302105600 6310144000 6763685600 6892928000 7058358272 7067361280 7729926400 7877632000 8076984320 8454607000 8657517568 8822947840 8834201600 9003008000 9662408000 9894305792 10096230400 10821896960 11028684800 11042752000 11307778048 12367882240 12604211200 12620288000 13527371200 13785856000 14134722560 15459852800 15755264000 16153968640 16909214000 17315035136 17645895680 17668403200 18006016000 19324816000 19788611584 20192460800 21643793920 22057369600 22085504000 22615556096 24735764480 25208422400 25240576000 27054742400 27571712000 28269445120 30919705600 31510528000 33818428000 34630070272 35291791360 35336806400 38649632000 39577223168 40384921600 43287587840 44114739200 44171008000 49471528960 50481152000 54109484800 55143424000 56538890240 61839411200 63021056000 67636856000 69260140544 70673612800 77299264000 79154446336 80769843200 86575175680 88229478400 88342016000 98943057920 100962304000 108218969600 110286848000 113077780480 123678822400 126042112000 135273712000 138520281088 141347225600 154598528000 158308892672 173150351360 176458956800 176684032000 197886115840 201924608000 216437939200 220573696000 247357644800 270547424000 277040562176 282694451200 309197056000 346300702720 353368064000 395772231680 403849216000 432875878400 441147392000 494715289600 541094848000 554081124352 565388902400 618394112000 692601405440 706736128000 791544463360 865751756800 882294784000 989430579200 1082189696000 1108162248704 1236788224000 1385202810880 1413472256000 1731503513600 1978861158400 2164379392000 2473576448000 2770405621760 2826944512000 3463007027200 3957722316800 4328758784000 4947152896000 5540811243520 6926014054400 8657517568000 9894305792000 13852028108800 17315035136000 19788611584000 27704056217600 34630070272000 69260140544000 138520281088000
- Sum of all divisors σ(n): 405786039422400
- Sum of proper divisors (its aliquot sum) s(n): 267265758334400
- 138520281088000 is an abundant number, because the sum of its proper divisors (267265758334400) is greater than itself. Its abundance is 128745477246400
Bases of 138520281088000
- Binary: 111110111111011110001000010011000000000000000002
- Hexadecimal: 0x7DFBC4260000
- Base-36: 1D3NC6VE9S
Squares and roots of 138520281088000
- 138520281088000 squared (1385202810880002) is 19187868272698530463744000000
- 138520281088000 cubed (1385202810880003) is 2657908906613717476122349872873472000000000
-
The
square root of 138520281088000 is 11769463.9252601475 -
The
cube root of 138520281088000 is 51741.3538373055
Scales and comparisons
How big is 138520281088000?- 138,520,281,088,000 seconds is equal to 4,404,516 years, 24 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 138,520,281,088,000 would take you about eleven million, eleven thousand, two hundred ninety-one 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 138520281088000 cubic inches would be around 4311.8 feet tall.
Recreational maths with 138520281088000
- 138520281088000 backwards is 000880182025831
- The number of decimal digits it has is: 15
- The sum of 138520281088000's digits is 46
- More coming soon!
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The information we have on file for 138520281088000 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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