135083804128000
135,083,804,128,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135083804128000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
135083804128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 135083804128000:
28 × 53 × 7 × 13 × 89 × 233 × 2237
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 89 × 233 × 2237)See below for interesting mathematical facts about the number 135083804128000 from the Numbermatics database.
Names of 135083804128000
- Cardinal: 135083804128000 can be written as One hundred thirty-five trillion, eighty-three billion, eight hundred four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.35083804128 × 1014
Factors of 135083804128000
Divisors of 135083804128000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 89 91 100 104 112 125 128 130 140 160 175 178 182 200 208 224 233 250 256 260 280 320 325 350 356 364 400 416 445 448 455 466 500 520 560 623 640 650 700 712 728 800 832 875 890 896 910 932 1000 1040 1120 1157 1165 1246 1280 1300 1400 1424 1456 1600 1625 1631 1664 1750 1780 1792 1820 1864 2000 2080 2225 2237 2240 2275 2314 2330 2492 2600 2800 2848 2912 3029 3115 3200 3250 3262 3328 3500 3560 3640 3728 4000 4160 4450 4474 4480 4550 4628 4660 4984 5200 5600 5696 5785 5824 5825 6058 6230 6400 6500 6524 7000 7120 7280 7456 8000 8099 8155 8320 8900 8948 8960 9100 9256 9320 9968 10400 11125 11185 11200 11375 11392 11570 11648 11650 12116 12460 13000 13048 14000 14240 14560 14912 15145 15575 15659 16000 16198 16310 16640 17800 17896 18200 18512 18640 19936 20737 20800 21203 22250 22370 22400 22750 22784 23140 23296 23300 24232 24920 26000 26096 28000 28480 28925 29081 29120 29125 29824 30290 31150 31318 32000 32396 32620 35600 35792 36400 37024 37280 39872 40495 40775 41474 41600 42406 44500 44740 44800 45500 46280 46600 48464 49840 52000 52192 55925 56000 56960 57850 58162 58240 58250 59648 60580 62300 62636 64792 65240 71200 71584 72800 74048 74560 75725 77875 78295 79744 80990 81550 82948 83200 84812 89000 89480 91000 92560 93200 96928 99680 103685 104000 104384 106015 111850 112000 113920 115700 116324 116480 116500 121160 124600 125272 129584 130480 142400 143168 144625 145159 145405 145600 148096 149120 151450 155750 156590 159488 161980 163100 165896 169624 178000 178960 182000 185120 186400 193856 199093 199360 202475 203567 203875 207370 208000 208768 212030 223700 224000 231400 232648 233000 242320 249200 250544 259168 260960 269581 279625 284800 286336 289250 290318 290810 291200 296192 298240 302900 311500 313180 323960 326200 331792 339248 356000 357920 364000 370240 372800 378625 387712 391475 398186 398720 404950 407134 407750 414740 416000 417536 424060 447400 462800 465296 466000 484640 498400 501088 518336 518425 521221 521920 530075 539162 559250 569600 572672 578500 580636 581620 582400 605800 623000 626360 647920 652400 663584 678496 712000 715840 725795 727025 728000 740480 745600 757250 775424 782950 796372 797440 809900 814268 815500 829480 848120 894800 925600 930592 932000 969280 995465 996800 1002176 1012375 1017835 1036672 1036850 1042442 1043840 1060150 1078324 1118500 1157000 1161272 1163240 1211600 1246000 1252720 1295840 1304800 1327168 1347905 1356992 1393651 1424000 1431680 1451590 1454050 1456000 1480960 1491200 1514500 1565900 1592744 1619800 1628536 1631000 1658960 1696240 1789600 1851200 1861184 1864000 1887067 1938560 1957375 1990930 1993600 2004352 2024750 2035670 2073344 2073700 2084884 2087680 2120300 2156648 2237000 2314000 2322544 2326480 2423200 2492000 2505440 2588209 2591680 2592125 2606105 2609600 2650375 2654336 2695810 2713984 2787302 2848000 2863360 2903180 2908100 2912000 3029000 3131800 3185488 3239600 3257072 3262000 3317920 3392480 3579200 3628975 3635125 3648547 3702400 3722368 3728000 3774134 3877120 3914750 3981860 3987200 4008704 4049500 4071340 4147400 4169768 4240600 4313296 4474000 4628000 4645088 4652960 4846400 4977325 4984000 5010880 5089175 5176418 5183360 5184250 5212210 5219200 5300750 5308672 5391620 5427968 5574604 5806360 5816200 6058000 6263600 6370976 6479200 6514144 6524000 6635840 6739525 6775873 6784960 6968255 7158400 7257950 7270250 7297094 7404800 7444736 7456000 7548268 7829500 7963720 8099000 8142680 8294800 8339536 8481200 8626592 8948000 9256000 9290176 9305920 9435335 9692800 9954650 9968000 10021760 10178350 10352836 10366720 10368500 10424420 10438400 10601500 10783240 11149208 11612720 11632400 12116000 12527200 12741952 12941045 12958400 13028288 13030525 13048000 13271680 13479050 13551746 13569920 13936510 14316800 14515900 14540500 14594188 15096536 15659000 15927440 16198000 16285360 16589600 16679072 16962400 17253184 17896000 18117463 18144875 18242735 18512000 18580352 18611840 18870670 19385600 19909300 19936000 20043520 20356700 20705672 20737000 20848840 21203000 21566480 22298416 23225440 23264800 24232000 24886625 25054400 25445875 25483904 25882090 25916800 26056576 26061050 26096000 26543360 26958100 27103492 27139840 27873020 29031800 29081000 29188376 30193072 31318000 31854880 32396000 32570720 33179200 33358144 33697625 33879365 33924800 34506368 34841275 35792000 36234926 36289750 36485470 37024000 37160704 37223680 37741340 39818600 40713400 41411344 41474000 41697680 42406000 43132960 44596832 46388669 46450880 46529600 47176675 47431111 48464000 49773250 50108800 50891750 50967808 51764180 51833600 52113152 52122100 52192000 53916200 54206984 55746040 58063600 58162000 58376752 60386144 62636000 63709760 64705225 64792000 65141440 65152625 66358400 66716288 67395250 67758730 67849600 69012736 69682550 71584000 72469852 72579500 72970940 75482680 79637200 81426800 82822688 82948000 83395360 84812000 86265920 89193664 90587315 91213675 92777338 92901760 93059200 94353350 94862222 96928000 99546500 100217600 101783500 103528360 104244200 107832400 108413968 111492080 116127200 116324000 116753504 120772288 125272000 127419520 129410450 129584000 130282880 130305250 132716800 133432576 134790500 135517460 135699200 139365100 144939704 145159000 145941880 150965360 159274400 162853600 165645376 165896000 166790720 169396825 169624000 172531840 174206375 178387328 181174630 182427350 185554676 185803520 186118400 188706700 189724444 199093000 203567000 207056720 208488400 215664800 216827936 222984160 231943345 232254400 232648000 233507008 235883375 237155555 241544576 250544000 254839040 258820900 259168000 260565760 260610500 269581000 271034920 278730200 289879408 290318000 291883760 301930720 318548800 323526125 324720683 325707200 331290752 331792000 333581440 338793650 339248000 345063680 348412750 356774656 362349260 364854700 371109352 377413400 379448888 398186000 407134000 414113440 416976800 431329600 433655872 445968320 452936575 456068375 463886690 464508800 465296000 467014016 471766750 474311110 483089152 501088000 517641800 521221000 539162000 542069840 557460400 579758816 580636000 583767520 603052697 603861440 637097600 647052250 649441366 651414400 662581504 663584000 667162880 677587300 678496000 696825500 724698520 729709400 742218704 754826800 758897776 796372000 814268000 828226880 833953600 846984125 862659200 867311744 891936640 905873150 912136750 927773380 929017600 930592000 934028032 943533500 948622220 1035283600 1042442000 1078324000 1084139680 1114920800 1159517632 1159716725 1161272000 1167535040 1185777775 1206105394 1207722880 1274195200 1294104500 1298882732 1302828800 1355174600 1393651000 1449397040 1459418800 1484437408 1509653600 1517795552 1592744000 1623603415 1628536000 1656453760 1667907200 1693968250 1725318400 1734623488 1783873280 1811746300 1824273500 1855546760 1887067000 1897244440 2070567200 2084884000 2156648000 2168279360 2229841600 2264682875 2319035264 2319433450 2322544000 2335070080 2371555550 2412210788 2415445760 2588209000 2597765464 2710349200 2787302000 2898794080 2918837600 2968874816 3015263485 3019307200 3035591104 3185488000 3247206830 3257072000 3312907520 3335814400 3387936500 3623492600 3648547000 3711093520 3774134000 3794488880 4141134400 4169768000 4221368879 4313296000 4336558720 4459683200 4529365750 4638070528 4638866900 4645088000 4670140160 4743111100 4824421576 5176418000 5195530928 5420698400 5574604000 5797588160 5798583625 5837675200 5928888875 5937749632 6030526970 6038614400 6071182208 6370976000 6494413660 6514144000 6775873000 7246985200 7297094000 7422187040 7548268000 7588977760 8118017075 8282268800 8339536000 8442737758 8626592000 8673117440 8919366400 9058731500 9277733800 9486222200 9648843152 10352836000 10391061856 10841396800 11149208000 11595176320 11597167250 11675350400 11857777750 11875499264 12061053940 12077228800 12142364416 12988827320 13551746000 14493970400 14594188000 14844374080 15076317425 15096536000 15177955520 16236034150 16564537600 16679072000 16885475516 18117463000 18555467600 18972444400 19297686304 20705672000 20782123712 21106844395 21682793600 22298416000 23190352640 23194334500 23350700800 23715555500 24122107880 25977654640 27103492000 28987940800 29188376000 29688748160 30152634850 30193072000 30355911040 32472068300 33770951032 36234926000 37110935200 37944888800 38595372608 40590085375 41411344000 41564247424 42213688790 43365587200 44596832000 46388669000 47431111000 48244215760 51955309280 54206984000 57975881600 58376752000 59377496320 60305269700 60386144000 60711822080 64944136600 67541902064 72469852000 74221870400 75381587125 75889777600 77190745216 81180170750 82822688000 83128494848 84427377580 92777338000 94862222000 96488431520 103910618560 105534221975 108413968000 115951763200 116753504000 120610539400 129888273200 135083804128 144939704000 148443740800 150763174250 151779555200 154381490432 162360341500 168854755160 185554676000 189724444000 192976863040 207821237120 211068443950 216827936000 241221078800 259776546400 270167608256 289879408000 296887481600 301526348500 303559110400 324720683000 337709510320 371109352000 379448888000 385953726080 415642474240 422136887900 482442157600 519553092800 527671109875 540335216512 579758816000 603052697000 649441366000 675419020640 742218704000 758897776000 771907452160 844273775800 964884315200 1039106185600 1055342219750 1080670433024 1206105394000 1298882732000 1350838041280 1484437408000 1517795552000 1688547551600 1929768630400 2078212371200 2110684439500 2412210788000 2597765464000 2701676082560 3377095103200 3859537260800 4221368879000 4824421576000 5195530928000 5403352165120 6754190206400 8442737758000 9648843152000 10391061856000 13508380412800 16885475516000 19297686304000 27016760825600 33770951032000 67541902064000 135083804128000
- Sum of all divisors σ(n): 420806045237760
- Sum of proper divisors (its aliquot sum) s(n): 285722241109760
- 135083804128000 is an abundant number, because the sum of its proper divisors (285722241109760) is greater than itself. Its abundance is 150638436981760
Bases of 135083804128000
- Binary: 111101011011011101001100010100011110011000000002
- Hexadecimal: 0x7ADBA628F300
- Base-36: 1BVSN57TOG
Squares and roots of 135083804128000
- 135083804128000 squared (1350838041280002) is 18247634137691869840384000000
- 135083804128000 cubed (1350838041280003) is 2464959835655374727536502880305152000000000
-
The
square root of 135083804128000 is 11622555.8345830285 -
The
cube root of 135083804128000 is 51309.8912447845
Scales and comparisons
How big is 135083804128000?- 135,083,804,128,000 seconds is equal to 4,295,247 years, 6 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 135,083,804,128,000 would take you about ten million, seven hundred thirty-eight thousand, one hundred seventeen 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 135083804128000 cubic inches would be around 4275.8 feet tall.
Recreational maths with 135083804128000
- 135083804128000 backwards is 000821408380531
- The number of decimal digits it has is: 15
- The sum of 135083804128000's digits is 43
- More coming soon!
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The information we have on file for 135083804128000 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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