216978421248000
216,978,421,248,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 216978421248000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1664 divisors.
216978421248000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 216978421248000:
212 × 33 × 53 × 17 × 181 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 181 × 5101)See below for interesting mathematical facts about the number 216978421248000 from the Numbermatics database.
Names of 216978421248000
- Cardinal: 216978421248000 can be written as Two hundred sixteen trillion, nine hundred seventy-eight billion, four hundred twenty-one million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 2.16978421248 × 1014
Factors of 216978421248000
Divisors of 216978421248000
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 120 125 128 135 136 144 150 153 160 170 180 181 192 200 204 216 225 240 250 255 256 270 272 288 300 306 320 340 360 362 375 384 400 408 425 432 450 459 480 500 510 512 540 543 544 576 600 612 640 675 680 720 724 750 765 768 800 816 850 864 900 905 918 960 1000 1020 1024 1080 1086 1088 1125 1152 1200 1224 1275 1280 1350 1360 1440 1448 1500 1530 1536 1600 1629 1632 1700 1728 1800 1810 1836 1920 2000 2040 2048 2125 2160 2172 2176 2250 2295 2304 2400 2448 2550 2560 2700 2715 2720 2880 2896 3000 3060 3072 3077 3200 3258 3264 3375 3400 3456 3600 3620 3672 3825 3840 4000 4080 4096 4250 4320 4344 4352 4500 4525 4590 4608 4800 4887 4896 5100 5101 5120 5400 5430 5440 5760 5792 6000 6120 6144 6154 6375 6400 6516 6528 6750 6800 6912 7200 7240 7344 7650 7680 8000 8145 8160 8500 8640 8688 8704 9000 9050 9180 9216 9231 9600 9774 9792 10200 10202 10240 10800 10860 10880 11475 11520 11584 12000 12240 12288 12308 12750 12800 13032 13056 13500 13575 13600 13824 14400 14480 14688 15300 15303 15360 15385 16000 16290 16320 17000 17280 17376 17408 18000 18100 18360 18432 18462 19125 19200 19548 19584 20400 20404 20480 21600 21720 21760 22625 22950 23040 23168 24000 24435 24480 24616 25500 25505 25600 26064 26112 27000 27150 27200 27648 27693 28800 28960 29376 30600 30606 30720 30770 32000 32580 32640 34000 34560 34752 34816 36000 36200 36720 36864 36924 38250 38400 39096 39168 40725 40800 40808 43200 43440 43520 45250 45900 45909 46080 46155 46336 48000 48870 48960 49232 51000 51010 51200 52128 52224 54000 54300 54400 55296 55386 57375 57600 57920 58752 61200 61212 61440 61540 64000 65160 65280 67875 68000 69120 69504 69632 72000 72400 73440 73848 76500 76515 76800 76925 78192 78336 81450 81600 81616 83079 86400 86717 86880 87040 90500 91800 91818 92160 92310 92672 96000 97740 97920 98464 102000 102020 102400 104256 104448 108000 108600 108800 110592 110772 114750 115200 115840 117504 122175 122400 122424 123080 127525 128000 130320 130560 135750 136000 137727 138240 138465 139008 144000 144800 146880 147696 153000 153030 153600 153850 156384 156672 162900 163200 163232 166158 172800 173434 173760 174080 181000 183600 183636 184320 184620 185344 192000 195480 195840 196928 203625 204000 204040 208512 208896 216000 217200 217600 221544 229500 229545 230400 230775 231680 235008 244350 244800 244848 246160 255050 256000 260151 260640 261120 271500 272000 275454 276480 276930 278016 288000 289600 293760 295392 306000 306060 307200 307700 312768 313344 325800 326400 326464 332316 345600 346868 347520 348160 362000 367200 367272 369240 370688 382575 384000 384625 390960 391680 393856 407250 408000 408080 415395 417024 432000 433585 434400 435200 443088 459000 459090 460800 461550 463360 470016 488700 489600 489696 492320 510100 512000 520302 521280 522240 543000 544000 550908 552960 553860 556032 576000 579200 587520 590784 610875 612000 612120 615400 625536 626688 637625 651600 652800 652928 664632 688635 691200 692325 693736 695040 724000 734400 734544 738480 741376 765150 768000 769250 780453 781920 783360 787712 814500 816000 816160 830790 834048 864000 867170 868800 870400 886176 918000 918180 921600 923100 923281 926720 940032 977400 979200 979392 984640 1020200 1040604 1042560 1044480 1086000 1088000 1101816 1107720 1112064 1147725 1152000 1153875 1158400 1175040 1181568 1221750 1224000 1224240 1230800 1251072 1275250 1300755 1303200 1305600 1305856 1329264 1377270 1382400 1384650 1387472 1390080 1448000 1468800 1469088 1476960 1530300 1536000 1538500 1560906 1563840 1566720 1575424 1629000 1632000 1632320 1661580 1668096 1728000 1734340 1737600 1740800 1772352 1836000 1836360 1846200 1846562 1853440 1880064 1912875 1954800 1958400 1958784 1969280 2040400 2076975 2081208 2085120 2167925 2172000 2176000 2203632 2215440 2224128 2295450 2304000 2307750 2316800 2341359 2350080 2363136 2443500 2448000 2448480 2461600 2502144 2550500 2601510 2606400 2611200 2611712 2658528 2754540 2764800 2769300 2769843 2774944 2780160 2896000 2937600 2938176 2953920 3060600 3077000 3121812 3127680 3133440 3150848 3258000 3264000 3264640 3323160 3336192 3443175 3456000 3461625 3468680 3475200 3544704 3672000 3672720 3692400 3693124 3706880 3825750 3902265 3909600 3916800 3917568 3938560 4080800 4153950 4162416 4170240 4335850 4344000 4352000 4407264 4430880 4590900 4608000 4615500 4616405 4633600 4682718 4700160 4726272 4887000 4896000 4896960 4923200 5004288 5101000 5203020 5212800 5222400 5223424 5317056 5509080 5538600 5539686 5549888 5560320 5738625 5792000 5875200 5876352 5907840 6121200 6154000 6243624 6255360 6301696 6503775 6516000 6528000 6529280 6646320 6672384 6886350 6912000 6923250 6937360 6950400 7089408 7344000 7345440 7384800 7386248 7651500 7804530 7819200 7833600 7835136 7877120 8161600 8307900 8309529 8324832 8340480 8671700 8688000 8704000 8814528 8861760 9181800 9231000 9232810 9267200 9365436 9400320 9452544 9774000 9792000 9793920 9846400 10008576 10202000 10384875 10406040 10425600 10446848 10634112 10839625 11018160 11077200 11079372 11099776 11120640 11477250 11584000 11706795 11750400 11752704 11815680 12242400 12308000 12487248 12510720 12603392 13007550 13032000 13056000 13058560 13292640 13772700 13824000 13846500 13849215 13874720 13900800 14178816 14688000 14690880 14769600 14772496 15303000 15609060 15638400 15667200 15670272 15695777 15754240 16323200 16615800 16619058 16649664 16680960 17215875 17343400 17376000 17629056 17723520 18363600 18462000 18465620 18534400 18730872 18905088 19511325 19548000 19584000 19587840 19692800 20017152 20404000 20769750 20812080 20851200 20893696 21268224 21679250 22036320 22154400 22158744 22199552 22954500 23082025 23168000 23413590 23500800 23505408 23631360 24484800 24616000 24928587 24974496 25021440 26015100 26064000 26112000 26117120 26585280 27545400 27693000 27698430 27749440 27801600 28357632 29376000 29381760 29539200 29544992 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2774944000 2820648960 2825239860 2835763200 2836319232 2938176000 2954499200 2996939520 3013589184 3116073375 3121812000 3139155400 3190859136 3196735488 3323811600 3329932800 3390287832 3525811200 3531549825 3544704000 3545399040 3693124000 3746174400 3766986480 3781758976 3917568000 3923944250 3988573920 3995919360 4018118912 4154764500 4162416000 4237859790 4253644800 4254478848 4407264000 4431748800 4439910400 4520383776 4682718000 4701081600 4708733100 4726272000 4727198720 4795103232 4985717400 4994899200 5022648640 5317056000 5318098560 5327892480 5539686000 5549888000 5650479720 5672638464 5876352000 5885916375 5908998400 5993879040 6027178368 6232146750 6243624000 6278310800 6381718272 6647623200 6659865600 6780575664 7051622400 7063099650 7089408000 7090798080 7386248000 7492348800 7533972960 7835136000 7847888500 7977147840 7991838720 8036237824 8309529000 8324832000 8475719580 8507289600 8508957696 8814528000 8863497600 8879820800 9040767552 9365436000 9417466200 9454397440 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37669864800 39885739200 39959193600 40181189120 42378597900 42536448000 42544788480 44317488000 44399104000 45203837760 47087331000 47271987200 47951032320 48217426944 49857174000 49948992000 50226486400 51053746176 52973247375 53180985600 54244605312 56504797200 56726384640 59089984000 59938790400 60271783680 62783108000 63817182720 64289902592 66476232000 66598656000 67805756640 70516224000 70630996500 70907980800 72326140416 74923488000 75339729600 79771478400 79918387200 80362378240 84757195800 85089576960 88634976000 90407675520 94174662000 94543974400 96434853888 99714348000 99897984000 100452972800 102107492352 105946494750 106361971200 108489210624 113009594400 118179968000 119877580800 120543567360 125566216000 127634365440 132952464000 133197312000 135611513280 141261993000 141815961600 144652280832 149846976000 150679459200 159542956800 160724756480 169514391600 170179153920 177269952000 180815351040 188349324000 192869707776 199428696000 199795968000 200905945600 211892989500 212723942400 216978421248 226019188800 236359936000 239755161600 241087134720 251132432000 255268730880 265904928000 271223026560 282523986000 283631923200 289304561664 299693952000 301358918400 319085913600 321449512960 339028783200 354539904000 361630702080 376698648000 398857392000 399591936000 401811891200 423785979000 425447884800 433956842496 452038377600 472719872000 482174269440 502264864000 510537461760 531809856000 542446053120 565047972000 578609123328 599387904000 602717836800 638171827200 678057566400 709079808000 723261404160 753397296000 797714784000 803623782400 847571958000 850895769600 867913684992 904076755200 964348538880 1004529728000 1063619712000 1084892106240 1130095944000 1198775808000 1205435673600 1276343654400 1356115132800 1418159616000 1446522808320 1506794592000 1595429568000 1607247564800 1695143916000 1735827369984 1808153510400 2009059456000 2127239424000 2169784212480 2260191888000 2410871347200 2552687308800 2712230265600 2893045616640 3013589184000 3190859136000 3390287832000 3616307020800 4018118912000 4254478848000 4339568424960 4520383776000 4821742694400 5424460531200 6027178368000 6381718272000 6780575664000 7232614041600 8036237824000 8679136849920 9040767552000 10848921062400 12054356736000 12763436544000 13561151328000 14465228083200 18081535104000 21697842124800 24108713472000 27122302656000 36163070208000 43395684249600 54244605312000 72326140416000 108489210624000 216978421248000
- Sum of all divisors σ(n): 854291062759680
- Sum of proper divisors (its aliquot sum) s(n): 637312641511680
- 216978421248000 is an abundant number, because the sum of its proper divisors (637312641511680) is greater than itself. Its abundance is 420334220263680
Bases of 216978421248000
- Binary: 1100010101010111001110011011100011110000000000002
- Hexadecimal: 0xC55739B8F000
- Base-36: 24WUIDSLC0
Squares and roots of 216978421248000
- 216978421248000 squared (2169784212480002) is 47079635287274537877504000000
- 216978421248000 cubed (2169784212480003) is 10215264937564460173409594734804992000000000
-
The
square root of 216978421248000 is 14730187.4138790237 -
The
cube root of 216978421248000 is 60090.4581136251
Scales and comparisons
How big is 216978421248000?- 216,978,421,248,000 seconds is equal to 6,899,242 years, 33 weeks, 1 day.
-
To count from 1 to 216,978,421,248,000 would take you about seventeen million, two hundred forty-eight thousand, one hundred six 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 216978421248000 cubic inches would be around 5007.5 feet tall.
Recreational maths with 216978421248000
- 216978421248000 backwards is 000842124879612
- 216978421248000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 216978421248000's digits is 54
- More coming soon!
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The information we have on file for 216978421248000 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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