21413537084800

Names of 21413537084800

• Cardinal: 21413537084800 can be written as Twenty-one trillion, four hundred thirteen billion, five hundred thirty-seven million, eighty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 2.14135370848 × 10¹³

Factors of 21413537084800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 235

Divisors of 21413537084800

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 53 56 62 64 70 80 100 106 112 124 128 137 140 155 160 175 200 212 217 224 248 265 274 280 310 320 350 371 400 424 434 448 496 530 548 560 620 640 685 700 742 775 800 848 868 896 959 961 992 1060 1085 1096 1120 1240 1325 1370 1400 1484 1550 1600 1643 1696 1736 1855 1918 1922 1984 2120 2170 2192 2240 2480 2650 2740 2800 2968 3100 3200 3286 3392 3425 3472 3710 3836 3844 3968 4240 4247 4340 4384 4480 4795 4805 4960 5300 5425 5480 5600 5936 6200 6572 6727 6784 6850 6944 7261 7420 7672 7688 8215 8480 8494 8680 8768 9275 9590 9610 9920 10600 10850 10960 11200 11501 11872 12400 13144 13454 13700 13888 14522 14840 15344 15376 16430 16960 16988 17360 17536 18550 18769 19180 19220 19840 21200 21235 21700 21920 22400 23002 23744 23975 24025 24800 26288 26908 27400 27776 29044 29680 29729 30688 30752 32860 33635 33920 33976 34720 36305 37100 37538 38360 38440 41075 42400 42470 43400 43840 46004 47488 47950 48050 49600 50827 50933 52576 53816 54800 57505 58088 59360 59458 61376 61504 65720 67270 67952 69440 72610 74200 75076 76720 76880 82150 84800 84940 86800 87680 92008 93845 95900 96100 99200 101654 101866 105152 106175 107632 109600 115010 116176 118720 118916 122752 123008 131383 131440 131657 134540 135904 138880 145220 148400 148645 150152 153440 153760 164300 168175 169600 169880 173600 181525 184016 187690 191800 192200 203308 203732 210304 212350 215264 219200 225091 230020 232352 237440 237832 254135 254665 262766 262880 263314 269080 271808 287525 290440 296800 297290 300304 306880 307520 328600 336350 339760 347200 356531 363050 368032 375380 383600 384400 406616 407464 424700 430528 438400 450182 460040 464704 469225 475664 508270 509330 525532 525760 526628 538160 543616 575050 580880 581839 593600 594580 600608 613760 615040 656915 657200 658285 672700 679520 694400 713062 726100 736064 743225 750760 767200 768800 813232 814928 849400 861056 900364 920080 921599 929408 938450 951328 994757 1016540 1018660 1051064 1051520 1053256 1076320 1125455 1150100 1161760 1163678 1187200 1189160 1201216 1270675 1273325 1313830 1314400 1316570 1345400 1359040 1426124 1452200 1472128 1486450 1501520 1534400 1537600 1575637 1626464 1629856 1698800 1782655 1800728 1840160 1843198 1876900 1902656 1989514 2033080 2037320 2102128 2106512 2152640 2250910 2300200 2323520 2327356 2378320 2402432 2541350 2546650 2627660 2628800 2633140 2690800 2718080 2852248 2904400 2909195 2972900 3003040 3068800 3075200 3151274 3252928 3259712 3284575 3291425 3397600 3565310 3601456 3680320 3686396 3753800 3805312 3979028 4066160 4072873 4074640 4204256 4213024 4305280 4501820 4600400 4607995 4647040 4654712 4756640 4973785 5082700 5093300 5255320 5257600 5266280 5381600 5627275 5704496 5808800 5818390 5945800 6006080 6302548 6505856 6519424 6569150 6582850 6795200 6963299 6977821 7130620 7202912 7360640 7372792 7507600 7878185 7958056 8132320 8145746 8149280 8408512 8426048 8913275 9003640 9200800 9215990 9309424 9513280 9947570 10165400 10186600 10510640 10532560 10763200 11254550 11408992 11617600 11636780 11891600 12012160 12605096 13138300 13165700 13590400 13926598 13955642 14261240 14405824 14545975 14745584 15015200 15756370 15916112 16264640 16291492 16298560 16817024 16852096 17826550 18007280 18037009 18401600 18431980 18618848 19026560 19895140 20330800 20364365 20373200 21021280 21065120 21526400 22509100 22817984 23039975 23235200 23273560 23783200 24868925 25210192 26276600 26331400 27853196 27911284 28522480 28811648 29091950 29491168 30030400 30837467 31512740 31832224 32529280 32582984 32597120 34816495 34889105 35653100 36014560 36074018 36803200 36863960 37237696 39390925 39790280 40661600 40728730 40746400 42042560 42130240 45018200 45635968 46079950 46547120 47566400 48844747 49737850 50420384 52553200 52662800 55706392 55822568 57044960 58183900 58982336 60060800 61674934 63025480 63664448 65165968 69632990 69778210 71306200 72029120 72148036 73727920 74475392 78781850 79580560 81323200 81457460 81492800 84085120 84260480 90036400 90185045 92159900 93094240 95132800 97689494 99475700 100840768 101821825 105106400 105325600 111412784 111645136 114089920 116367800 117964672 123349868 126050960 126259063 127328896 130331936 139265980 139556420 142612400 144058240 144296072 147455840 154187335 157563700 159161120 162646400 162914920 162985600 174082475 174445525 180072800 180370090 184319800 186188480 195378988 198951400 201681536 203643650 210212800 210651200 215862269 222825568 223290272 228179840 232735600 244223735 246699736 252101920 252518126 260663872 278531960 279112840 285224800 288592144 294911680 308374670 315127400 318322240 325829840 348164950 348891050 360145600 360740180 368639600 372376960 390757976 397902800 407287300 420425600 421302400 431724538 445651136 446580544 450925225 465471200 488447470 493399472 504203840 505036252 521327744 557063920 558225680 570449600 577184288 589823360 616749340 630254800 631295315 636644480 651659680 696329900 697782100 720291200 721480360 737279200 770936675 781515952 795805600 814574600 863449076 891302272 893161088 901850450 930942400 955961477 976894940 986798944 1008407680 1010072504 1079311345 1114127840 1116451360 1140899200 1154368576 1221118675 1233498680 1260509600 1262590630 1303319360 1392659800 1395564200 1442960720 1474558400 1541873350 1563031904 1591611200 1629149200 1726898152 1803700900 1861884800 1911922954 1953789880 1973597888 2020145008 2158622690 2228255680 2232902720 2308737152 2442237350 2466997360 2521019200 2525181260 2606638720 2785319600 2791128400 2885921440 2949116800 3083746700 3126063808 3156476575 3183222400 3258298400 3453796304 3607401800 3823845908 3907579760 3947195776 4040290016 4317245380 4456511360 4465805440 4779807385 4884474700 4933994720 5042038400 5050362520 5396556725 5570639200 5582256800 5771842880 6167493400 6252127616 6312953150 6516596800 6691730339 6907592608 7214803600 7647691816 7815159520 8080580032 8634490760 9559614770 9768949400 9867989440 10100725040 10793113450 11141278400 11164513600 11543685760 12334986800 12625906300 13033193600 13383460678 13815185216 14429607200 15295383632 15630319040 16161160064 17268981520 19119229540 19537898800 19735978880 20201450080 21586226900 22282556800 22329027200 23899036925 24669973600 25251812600 26766921356 27630370432 28859214400 30590767264 31260638080 33458651695 34537963040 38238459080 39075797600 40402900160 43172453800 47798073850 49339947200 50503625200 53533842712 57718428800 61181534528 66917303390 69075926080 76476918160 78151595200 80805800320 86344907600 95596147700 98679894400 101007250400 107067685424 122363069056 133834606780 138151852160 152953836320 156303190400 167293258475 172689815200 191192295400 202014500800 214135370848 267669213560 305907672640 334586516950 345379630400 382384590800 404029001600 428270741696 535338427120 611815345280 669173033900 690759260800 764769181600 856541483392 1070676854240 1338346067800 1529538363200 2141353708480 2676692135600 3059076726400 4282707416960 5353384271200 10706768542400 21413537084800
• Sum of all divisors σ(n): 64114682178960
• Sum of proper divisors (its aliquot sum) s(n): 42701145094160
• 21413537084800 is an abundant number, because the sum of its proper divisors (42701145094160) is greater than itself. Its abundance is 21287608009360

Bases of 21413537084800

• Binary: 100110111100110111010010001010111010110000000₂
• Hexadecimal: 0x1379BA457580
• Base-36: 7L98R3KHS

Squares and roots of 21413537084800

• 21413537084800 squared (21413537084800²) is 458539570482104882391040000
• 21413537084800 cubed (21413537084800³) is 9818954097366816313843677535240192000000
• The square root of 21413537084800 is 4627476.3192046699
• The cube root of 21413537084800 is 27769.1638682481

Scales and comparisons

• 21,413,537,084,800 seconds is equal to 680,884 years, 12 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 21,413,537,084,800 would take you about one million, seven hundred two thousand, two hundred ten 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 21413537084800 cubic inches would be around 2314.1 feet tall.

Recreational maths with 21413537084800

• 21413537084800 backwards is 00848073531412
• The number of decimal digits it has is: 14
• The sum of 21413537084800's digits is 46
• More coming soon!