135040984064000
135,040,984,064,000 is an even composite number composed of five prime numbers multiplied together.
135040984064000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 135040984064000:
213 × 53 × 7 × 613 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 61 × 61 × 61 × 83)See below for interesting mathematical facts about the number 135040984064000 from the Numbermatics database.
Names of 135040984064000
- Cardinal: 135040984064000 can be written as One hundred thirty-five trillion, forty billion, nine hundred eighty-four million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.35040984064 × 1014
Factors of 135040984064000
Divisors of 135040984064000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 61 64 70 80 83 100 112 122 125 128 140 160 166 175 200 224 244 250 256 280 305 320 332 350 400 415 427 448 488 500 512 560 581 610 640 664 700 800 830 854 875 896 976 1000 1024 1120 1162 1220 1280 1328 1400 1525 1600 1660 1708 1750 1792 1952 2000 2048 2075 2135 2240 2324 2440 2560 2656 2800 2905 3050 3200 3320 3416 3500 3584 3721 3904 4000 4096 4150 4270 4480 4648 4880 5063 5120 5312 5600 5810 6100 6400 6640 6832 7000 7168 7442 7625 7808 8000 8192 8300 8540 8960 9296 9760 10126 10240 10375 10624 10675 11200 11620 12200 12800 13280 13664 14000 14336 14525 14884 15250 15616 16000 16600 17080 17920 18592 18605 19520 20252 20480 20750 21248 21350 22400 23240 24400 25315 25600 26047 26560 27328 28000 28672 29050 29768 30500 31232 32000 33200 34160 35441 35840 37184 37210 39040 40504 40960 41500 42496 42700 44800 46480 48800 50630 51200 52094 53120 53375 54656 56000 57344 58100 59536 61000 62464 64000 66400 68320 70882 71680 72625 74368 74420 78080 81008 83000 84992 85400 89600 92960 93025 97600 101260 102400 104188 106240 106750 109312 112000 116200 119072 122000 124928 126575 128000 130235 132800 136640 141764 143360 145250 148736 148840 156160 162016 166000 169984 170800 177205 179200 185920 186050 195200 202520 204800 208376 212480 213500 218624 224000 226981 232400 238144 244000 249856 253150 256000 260470 265600 273280 283528 286720 290500 297472 297680 308843 312320 324032 332000 339968 341600 354410 358400 371840 372100 390400 405040 416752 424960 427000 437248 448000 453962 464800 465125 476288 488000 499712 506300 512000 520940 531200 546560 567056 581000 594944 595360 617686 624640 632875 648064 651175 664000 679936 683200 708820 716800 743680 744200 780800 810080 833504 849920 854000 874496 886025 896000 907924 929600 930250 952576 976000 1012600 1024000 1041880 1062400 1093120 1134112 1134905 1162000 1189888 1190720 1235372 1249280 1265750 1296128 1302350 1328000 1366400 1417640 1433600 1487360 1488400 1544215 1561600 1588867 1620160 1667008 1699840 1708000 1748992 1772050 1792000 1815848 1859200 1860500 1905152 1952000 2025200 2083760 2124800 2161901 2186240 2268224 2269810 2324000 2379776 2381440 2470744 2498560 2531500 2592256 2604700 2656000 2732800 2835280 2974720 2976800 3088430 3123200 3177734 3240320 3255875 3334016 3399680 3416000 3497984 3544100 3584000 3631696 3718400 3721000 3810304 3904000 4050400 4167520 4249600 4323802 4372480 4430125 4536448 4539620 4648000 4759552 4762880 4941488 5063000 5184512 5209400 5312000 5465600 5670560 5674525 5949440 5953600 6176860 6246400 6355468 6480640 6511750 6668032 6832000 7088200 7168000 7263392 7436800 7442000 7620608 7721075 7808000 7944335 8100800 8335040 8499200 8647604 8744960 8860250 9072896 9079240 9296000 9525760 9882976 10126000 10369024 10418800 10624000 10809505 10931200 11341120 11349050 11898880 11907200 12353720 12492800 12710936 12961280 13023500 13336064 13664000 14176400 14526784 14873600 14884000 15241216 15442150 15616000 15888670 16201600 16670080 16998400 17295208 17489920 17720500 18145792 18158480 18592000 18839423 19051520 19765952 20252000 20738048 20837600 21248000 21619010 21862400 22682240 22698100 23797760 23814400 24707440 25421872 25922560 26047000 26672128 27328000 28352800 28372625 29053568 29747200 29768000 30482432 30884300 31232000 31777340 32403200 33340160 34590416 35441000 36291584 36316960 37184000 37678846 38103040 38605375 39531904 39721675 40504000 41476096 41675200 42496000 43238020 43724800 45364480 45396200 47628800 49414880 50843744 51845120 52094000 53344256 54047525 54656000 56705600 56745250 58107136 59494400 59536000 61768600 62464000 63554680 64806400 66680320 69180832 70882000 72583168 72633920 74368000 75357692 76206080 77210750 79063808 79443350 81008000 83350400 84992000 86476040 87449600 90728960 90792400 94197115 95257600 98829760 101687488 103690240 104188000 106688512 108095050 109312000 113411200 113490500 116214272 118988800 119072000 123537200 127109360 129612800 131875961 133360640 138361664 141764000 145166336 145267840 148736000 150715384 152412160 154421500 158127616 158886700 162016000 166700800 172952080 181457920 181584800 188394230 190515200 197659520 198608375 203374976 207380480 208376000 213377024 216190100 218624000 226822400 226981000 232428544 238144000 247074400 254218720 259225600 263751922 266721280 270237625 276723328 283528000 290332672 290535680 297472000 301430768 308843000 316255232 317773400 324032000 333401600 345904160 362915840 363169600 376788460 381030400 395319040 397216750 406749952 416752000 432380200 437248000 453644800 453962000 464857088 470985575 476288000 494148800 508437440 518451200 527503844 533442560 540475250 553446656 567056000 581071360 594944000 602861536 617686000 632510464 635546800 648064000 659379805 666803200 691808320 725831680 726339200 753576920 762060800 790638080 794433500 813499904 833504000 864760400 907289600 907924000 929714176 941971150 952576000 988297600 1016874880 1036902400 1055007688 1066885120 1080950500 1106893312 1134112000 1162142720 1205723072 1235372000 1265020928 1271093600 1296128000 1318759610 1333606400 1383616640 1451663360 1452678400 1507153840 1581276160 1588867000 1626999808 1667008000 1729520800 1814579200 1815848000 1859428352 1883942300 1905152000 1976595200 2033749760 2110015376 2161901000 2213786624 2268224000 2324285440 2354927875 2411446144 2470744000 2530041856 2542187200 2592256000 2637519220 2667212800 2767233280 2905356800 3014307680 3162552320 3177734000 3253999616 3296899025 3334016000 3459041600 3629158400 3631696000 3767884600 3810304000 3953190400 4067499520 4220030752 4323802000 4427573248 4536448000 4648570880 4709855750 4822892288 4941488000 5084374400 5184512000 5275038440 5334425600 5534466560 5810713600 6028615360 6325104640 6355468000 6507999232 6593798050 6668032000 6918083200 7258316800 7263392000 7535769200 7906380800 8134999040 8440061504 8647604000 8855146496 9072896000 9297141760 9419711500 9645784576 9882976000 10168748800 10550076880 11068933120 11621427200 12057230720 12650209280 12710936000 13015998464 13187596100 13336064000 13836166400 14526784000 15071538400 15812761600 16269998080 16484495125 16880123008 17295208000 17710292992 18145792000 18839423000 19291569152 19765952000 20337497600 21100153760 22137866240 23242854400 24114461440 25421872000 26375192200 26672128000 27672332800 29053568000 30143076800 31625523200 32539996160 32968990250 33760246016 34590416000 36291584000 37678846000 38583138304 39531904000 40674995200 42200307520 44275732480 46485708800 48228922880 50843744000 52750384400 55344665600 58107136000 60286153600 63251046400 65079992320 65937980500 67520492032 69180832000 75357692000 77166276608 79063808000 81349990400 84400615040 88551464960 96457845760 101687488000 105500768800 110689331200 116214272000 120572307200 131875961000 135040984064 138361664000 150715384000 154332553216 158127616000 162699980800 168801230080 192915691520 203374976000 211001537600 221378662400 232428544000 241144614400 263751922000 270081968128 276723328000 301430768000 316255232000 325399961600 337602460160 385831383040 406749952000 422003075200 442757324800 482289228800 527503844000 540163936256 553446656000 602861536000 675204920320 771662766080 813499904000 844006150400 964578457600 1055007688000 1080327872512 1106893312000 1205723072000 1350409840640 1626999808000 1688012300800 1929156915200 2110015376000 2213786624000 2411446144000 2700819681280 3376024601600 3858313830400 4220030752000 4822892288000 5401639362560 6752049203200 8440061504000 9645784576000 13504098406400 16880123008000 19291569152000 27008196812800 33760246016000 67520492032000 135040984064000
- Sum of all divisors σ(n): 396328552349184
- Sum of proper divisors (its aliquot sum) s(n): 261287568285184
- 135040984064000 is an abundant number, because the sum of its proper divisors (261287568285184) is greater than itself. Its abundance is 126246584221184
Bases of 135040984064000
- Binary: 111101011010001101011011110001010100000000000002
- Hexadecimal: 0x7AD1ADE2A000
- Base-36: 1BV8YZ98U8
Squares and roots of 135040984064000
- 135040984064000 squared (1350409840640002) is 18236067376973501956096000000
- 135040984064000 cubed (1350409840640003) is 2462616484043908958203432763654144000000000
-
The
square root of 135040984064000 is 11620713.5780897723 -
The
cube root of 135040984064000 is 51304.4691168115
Scales and comparisons
How big is 135040984064000?- 135,040,984,064,000 seconds is equal to 4,293,885 years, 30 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
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To count from 1 to 135,040,984,064,000 would take you about ten million, seven hundred thirty-four thousand, seven hundred thirteen 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 135040984064000 cubic inches would be around 4275.4 feet tall.
Recreational maths with 135040984064000
- 135040984064000 backwards is 000460489040531
- The number of decimal digits it has is: 15
- The sum of 135040984064000's digits is 44
- More coming soon!
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The information we have on file for 135040984064000 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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