138689445831753600
138,689,445,831,753,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 138689445831753600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
138689445831753600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138689445831753600:
27 × 33 × 52 × 7 × 76207 × 3009101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 76207 × 3009101)See below for interesting mathematical facts about the number 138689445831753600 from the Numbermatics database.
Names of 138689445831753600
- Cardinal: 138689445831753600 can be written as One hundred thirty-eight quadrillion, six hundred eighty-nine trillion, four hundred forty-five billion, eight hundred thirty-one million, seven hundred fifty-three thousand, six hundred.
Scientific notation
- Scientific notation: 1.386894458317536 × 1017
Factors of 138689445831753600
Divisors of 138689445831753600
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 252 270 280 288 300 315 320 336 350 360 378 384 400 420 432 448 450 480 504 525 540 560 576 600 630 640 672 675 700 720 756 800 840 864 896 900 945 960 1008 1050 1080 1120 1152 1200 1260 1344 1350 1400 1440 1512 1575 1600 1680 1728 1800 1890 1920 2016 2100 2160 2240 2400 2520 2688 2700 2800 2880 3024 3150 3200 3360 3456 3600 3780 4032 4200 4320 4480 4725 4800 5040 5400 5600 5760 6048 6300 6720 7200 7560 8064 8400 8640 9450 9600 10080 10800 11200 12096 12600 13440 14400 15120 16800 17280 18900 20160 21600 22400 24192 25200 28800 30240 33600 37800 40320 43200 50400 60480 67200 75600 76207 86400 100800 120960 151200 152414 201600 228621 302400 304828 381035 457242 533449 604800 609656 685863 762070 914484 1066898 1143105 1219312 1371726 1524140 1600347 1828968 1905175 2057589 2133796 2286210 2438624 2667245 2743452 3009101 3048280 3200694 3429315 3657936 3810350 4115178 4267592 4572420 4801041 4877248 5334490 5486904 5715525 6018202 6096560 6401388 6858630 7315872 7620700 8001735 8230356 8535184 9027303 9144840 9602082 9754496 10287945 10668980 10973808 11431050 12036404 12193120 12802776 13336225 13717260 14403123 14631744 15045505 15241400 16003470 16460712 17070368 17146575 18054606 18289680 19204164 20575890 21063707 21337960 21947616 22862100 24005205 24072808 24386240 25605552 26672450 27081909 27434520 28806246 29263488 30091010 30482800 32006940 32921424 34140736 34293150 36109212 36579360 38408328 40008675 41151780 42127414 42675920 43895232 45136515 45724200 48010410 48145616 48772480 51211104 51439725 53344900 54163818 54869040 57612492 60182020 60965600 63191121 64013880 65842848 68281472 68586300 72015615 72218424 73158720 75227525 76816656 80017350 81245727 82303560 84254828 85351840 87790464 90273030 91448400 96020820 96291232 102422208 102879450 105318535 106689800 108327636 109738080 115224984 120026025 120364040 121931200 126382242 128027760 131685696 135409545 137172600 144031230 144436848 146317440 150455050 153633312 160034700 162491454 164607120 168509656 170703680 180546060 182896800 189573363 192041640 192582464 204844416 205758900 210637070 213379600 216655272 219476160 225682575 230449968 240052050 240728080 243862400 252764484 256055520 263371392 270819090 274345200 288062460 288873696 300910100 307266624 315955605 320069400 324982908 329214240 337019312 341407360 360078075 361092120 365793600 379146726 384083280 385164928 406228635 411517800 421274140 426759200 433310544 438952320 451365150 460899936 480104100 481456160 505528968 512111040 526592675 541638180 548690400 568720089 576124920 577747392 601820200 614533248 631911210 640138800 649965816 658428480 674038624 677047725 720156150 722184240 731587200 758293452 768166560 812457270 823035600 842548280 853518400 866621088 902730300 921799872 947866815 960208200 962912320 1011057936 1024222080 1053185350 1083276360 1097380800 1137440178 1152249840 1155494784 1203640400 1263822420 1280277600 1299931632 1316856960 1348077248 1354095450 1440312300 1444368480 1516586904 1536333120 1579778025 1624914540 1646071200 1685096560 1707036800 1733242176 1805460600 1843599744 1895733630 1920416400 1925824640 2022115872 2031143175 2106370700 2166552720 2194761600 2274880356 2304499680 2407280800 2527644840 2560555200 2599863264 2696154496 2708190900 2843600445 2880624600 2888736960 3033173808 3072666240 3159556050 3249829080 3292142400 3370193120 3466484352 3610921200 3791467260 3840832800 4044231744 4062286350 4212741400 4333105440 4549760712 4608999360 4739334075 4814561600 5055289680 5121110400 5199726528 5416381800 5687200890 5761249200 5777473920 6066347616 6319112100 6499658160 6584284800 6740386240 7221842400 7582934520 7681665600 8088463488 8124572700 8425482800 8666210880 9099521424 9217998720 9478668150 9629123200 10110579360 10399453056 10832763600 11374401780 11522498400 12132695232 12638224200 12999316320 13480772480 14218002225 14443684800 15165869040 15363331200 16249145400 16850965600 17332421760 18199042848 18957336300 20221158720 21665527200 22748803560 23044996800 24265390464 25276448400 25998632640 28436004450 28887369600 30331738080 32498290800 33701931200 36398085696 37914672600 40442317440 43331054400 45497607120 46089993600 50552896800 51997265280 56872008900 60663476160 64996581600 67403862400 72796171392 75829345200 86662108800 90995214240 101105793600 113744017800 121326952320 129993163200 151658690400 181990428480 202211587200 227488035600 229314559907 259986326400 303317380800 363980856960 454976071200 458629119814 606634761600 687943679721 909952142400 917258239628 1146572799535 1375887359442 1605201919349 1819904284800 1834516479256 2063831039163 2293145599070 2751774718884 3210403838698 3439718398605 3669032958512 4127662078326 4586291198140 4815605758047 5503549437768 5732863997675 6191493117489 6420807677396 6879436797210 7338065917024 8026009596745 8255324156652 9172582396280 9631211516094 10319155195815 11007098875536 11465727995350 12382986234978 12841615354792 13758873594420 14446817274141 14676131834048 16052019193490 16510648313304 17198591993025 18345164792560 19262423032188 20638310391630 22014197751072 22931455990700 24078028790235 24765972469956 25683230709584 27517747188840 28893634548282 29352263668096 30957465587445 32104038386980 33021296626608 34397183986050 36690329585120 38524846064376 40130047983725 41276620783260 43340451822423 44028395502144 45862911981400 48156057580470 49531944939912 51366461419168 51595775979075 55035494377680 57787269096564 61914931174890 64208076773960 66042593253216 68794367972100 72234086370705 73380659170240 77049692128752 80260095967450 82553241566520 86680903644846 88056791004288 91725823962800 96312115160940 99063889879824 102732922838336 103191551958150 110070988755360 115574538193128 120390143951175 123829862349780 128416153547920 132085186506432 137588735944200 144468172741410 146761318340480 154099384257504 154787327937225 160520191934900 165106483133040 173361807289692 183451647925600 192624230321880 198127779759648 205465845676672 206383103916300 216702259112115 220141977510720 231149076386256 240780287902350 247659724699560 256832307095840 264170373012864 275177471888400 288936345482820 308198768515008 309574655874450 321040383869800 330212966266080 346723614579384 361170431853525 366903295851200 385248460643760 396255559519296 412766207832600 433404518224230 440283955021440 462298152772512 481560575804700 495319449399120 513664614191680 550354943776800 577872690965640 616397537030016 619149311748900 642080767739600 660425932532160 693447229158768 722340863707050 733806591702400 770496921287520 792511119038592 825532415665200 866809036448460 924596305545024 963121151609400 990638898798240 1027329228383360 1083511295560575 1100709887553600 1155745381931280 1238298623497800 1284161535479200 1320851865064320 1386894458317536 1444681727414100 1540993842575040 1651064831330400 1733618072896920 1849192611090048 1926242303218800 1981277797596480 2167022591121150 2201419775107200 2311490763862560 2476597246995600 2568323070958400 2773788916635072 2889363454828200 3081987685150080 3302129662660800 3467236145793840 3852484606437600 3962555595192960 4334045182242300 4622981527725120 4953194493991200 5136646141916800 5547577833270144 5778726909656400 6604259325321600 6934472291587680 7704969212875200 8668090364484600 9245963055450240 9906388987982400 11557453819312800 13868944583175360 15409938425750400 17336180728969200 19812777975964800 23114907638625600 27737889166350720 34672361457938400 46229815277251200 69344722915876800 138689445831753600
- Sum of all divisors σ(n): 580081915338393600
- Sum of proper divisors (its aliquot sum) s(n): 441392469506640000
- 138689445831753600 is an abundant number, because the sum of its proper divisors (441392469506640000) is greater than itself. Its abundance is 302703023674886400
Bases of 138689445831753600
- Binary: 1111011001011100101010000111100001110010110111111100000002
- Hexadecimal: 0x1ECB950F0E5BF80
- Base-36: 11XLAZUGULC0
Squares and roots of 138689445831753600
- 138689445831753600 squared (1386894458317536002) is 19234762385118916013318051112960000
- 138689445831753600 cubed (1386894458317536003) is 2667658535897601579855937939512991665388486656000000
-
The
square root of 138689445831753600 is 372410319.1800055371 -
The
cube root of 138689445831753600 is 517624.0791966845
Scales and comparisons
How big is 138689445831753600?- 138,689,445,831,753,600 seconds is equal to 4,409,895,382 years, 43 weeks.
-
To count from 1 to 138,689,445,831,753,600 would take you about thirteen billion, two hundred twenty-nine million, six hundred eighty-six thousand, one hundred forty-eight 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 138689445831753600 cubic inches would be around 43135.3 feet tall.
Recreational maths with 138689445831753600
- 138689445831753600 backwards is 006357138544986831
- The number of decimal digits it has is: 18
- The sum of 138689445831753600's digits is 81
- More coming soon!
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The information we have on file for 138689445831753600 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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