48219938816000

Names of 48219938816000

• Cardinal: 48219938816000 can be written as Forty-eight trillion, two hundred nineteen billion, nine hundred thirty-eight million, eight hundred sixteen thousand.

Scientific notation

• Scientific notation: 4.8219938816 × 10¹³

Factors of 48219938816000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 145

Divisors of 48219938816000

• Number of divisors d(n): 816
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 131 140 160 175 196 200 224 245 250 256 262 280 320 343 350 392 400 448 490 500 512 524 560 640 655 686 700 784 800 875 896 917 980 1000 1024 1048 1120 1225 1280 1310 1372 1400 1568 1600 1715 1750 1792 1834 1960 2000 2048 2096 2240 2450 2560 2620 2744 2800 3136 3200 3275 3430 3500 3584 3668 3920 4000 4096 4192 4480 4585 4900 5120 5240 5488 5600 6125 6272 6400 6419 6550 6860 7000 7168 7336 7840 8000 8192 8384 8575 8960 9170 9800 10240 10480 10976 11200 12250 12544 12800 12838 13100 13720 14000 14336 14672 15680 16000 16375 16384 16768 17150 17161 17920 18340 19600 20480 20960 21952 22400 22925 24500 25088 25600 25676 26200 27440 28000 28672 29344 31360 32000 32095 32750 32768 33536 34300 34322 35840 36680 39200 40960 41920 42875 43904 44800 44933 45850 49000 50176 51200 51352 52400 54880 56000 57344 58688 62720 64000 64190 65500 65536 67072 68600 68644 71680 73360 78400 81920 83840 85750 85805 87808 89600 89866 91700 98000 100352 102400 102704 104800 109760 112000 114625 114688 117376 120127 125440 128000 128380 131000 134144 137200 137288 143360 146720 156800 160475 163840 167680 171500 171610 175616 179200 179732 183400 196000 200704 204800 205408 209600 219520 224000 224665 229250 229376 234752 240254 250880 256000 256760 262000 268288 274400 274576 286720 293440 313600 320950 327680 335360 343000 343220 351232 358400 359464 366800 392000 401408 409600 410816 419200 429025 439040 448000 449330 458500 458752 469504 480508 501760 512000 513520 524000 536576 548800 549152 573440 586880 600635 627200 641900 670720 686000 686440 702464 716800 718928 733600 784000 802375 802816 819200 821632 838400 840889 858050 878080 896000 898660 917000 939008 961016 1003520 1024000 1027040 1048000 1073152 1097600 1098304 1123325 1146880 1173760 1201270 1254400 1283800 1341440 1372000 1372880 1404928 1433600 1437856 1467200 1568000 1604750 1605632 1638400 1643264 1676800 1681778 1716100 1756160 1792000 1797320 1834000 1878016 1922032 2007040 2048000 2054080 2096000 2145125 2146304 2195200 2196608 2246650 2293760 2347520 2402540 2508800 2567600 2682880 2744000 2745760 2809856 2867200 2875712 2934400 3003175 3136000 3209500 3211264 3286528 3353600 3363556 3432200 3512320 3584000 3594640 3668000 3756032 3844064 4014080 4096000 4108160 4192000 4204445 4290250 4292608 4390400 4393216 4493300 4695040 4805080 5017600 5135200 5365760 5488000 5491520 5616625 5619712 5734400 5751424 5868800 5886223 6006350 6272000 6419000 6573056 6707200 6727112 6864400 7024640 7168000 7189280 7336000 7512064 7688128 8028160 8192000 8216320 8384000 8408890 8580500 8585216 8780800 8786432 8986600 9390080 9610160 10035200 10270400 10731520 10976000 10983040 11233250 11239424 11468800 11502848 11737600 11772446 12012700 12544000 12838000 13146112 13414400 13454224 13728800 14049280 14336000 14378560 14672000 15015875 15024128 15376256 16056320 16432640 16768000 16817780 17161000 17561600 17572864 17973200 18780160 19220320 20070400 20540800 21022225 21463040 21952000 21966080 22466500 22478848 23005696 23475200 23544892 24025400 25088000 25676000 26292224 26828800 26908448 27457600 28098560 28672000 28757120 29344000 29431115 30031750 30048256 30752512 32865280 33536000 33635560 34322000 35123200 35145728 35946400 37560320 38440640 40140800 41081600 42044450 42926080 43904000 43932160 44933000 46011392 46950400 47089784 48050800 50176000 51352000 52584448 53657600 53816896 54915200 56197120 57344000 57514240 58688000 58862230 60063500 60096512 61505024 65730560 67072000 67271120 68644000 70246400 70291456 71892800 75120640 76881280 80281600 82163200 84088900 87808000 87864320 89866000 92022784 93900800 94179568 96101600 100352000 102704000 105111125 105168896 107315200 107633792 109830400 112394240 115028480 117376000 117724460 120127000 123010048 131461120 134144000 134542240 137288000 140492800 140582912 143785600 147155575 150241280 153762560 164326400 168177800 175616000 175728640 179732000 184045568 187801600 188359136 192203200 200704000 205408000 210222250 210337792 214630400 215267584 219660800 230056960 234752000 235448920 240254000 246020096 262922240 268288000 269084480 274576000 280985600 281165824 287571200 294311150 300482560 307525120 328652800 336355600 351232000 351457280 359464000 368091136 375603200 376718272 384406400 401408000 410816000 420444500 420675584 430535168 439321600 460113920 469504000 470897840 480508000 492040192 525844480 536576000 538168960 549152000 561971200 562331648 575142400 588622300 615050240 657305600 672711200 702464000 702914560 718928000 735777875 736182272 751206400 753436544 768812800 821632000 840889000 861070336 878643200 920227840 939008000 941795680 961016000 984080384 1051688960 1073152000 1076337920 1098304000 1124663296 1150284800 1177244600 1230100480 1314611200 1345422400 1404928000 1405829120 1437856000 1471555750 1472364544 1502412800 1506873088 1537625600 1643264000 1681778000 1722140672 1757286400 1840455680 1878016000 1883591360 1922032000 1968160768 2103377920 2152675840 2196608000 2300569600 2354489200 2460200960 2629222400 2690844800 2809856000 2811658240 2875712000 2943111500 2944729088 3013746176 3075251200 3286528000 3363556000 3444281344 3514572800 3680911360 3756032000 3767182720 3844064000 3936321536 4305351680 4393216000 4601139200 4708978400 4920401920 5258444800 5381689600 5623316480 5751424000 5886223000 6027492352 6150502400 6573056000 6727112000 6888562688 7029145600 7361822720 7512064000 7534365440 7688128000 7872643072 8610703360 8786432000 9202278400 9417956800 9840803840 10516889600 10763379200 11502848000 11772446000 12054984704 12301004800 13146112000 13454224000 13777125376 14058291200 14723645440 15068730880 15376256000 17221406720 17572864000 18404556800 18835913600 19681607680 21526758400 23005696000 23544892000 24109969408 24602009600 26292224000 26908448000 27554250752 28116582400 30137461760 30752512000 34442813440 35145728000 36809113600 37671827200 39363215360 43053516800 46011392000 47089784000 48219938816 49204019200 52584448000 53816896000 55108501504 60274923520 61505024000 68885626880 70291456000 73618227200 75343654400 86107033600 92022784000 94179568000 96439877632 98408038400 107633792000 120549847040 123010048000 137771253760 140582912000 150687308800 172214067200 184045568000 188359136000 192879755264 196816076800 215267584000 241099694080 246020096000 275542507520 301374617600 344428134400 368091136000 376718272000 385759510528 430535168000 482199388160 492040192000 602749235200 688856268800 753436544000 861070336000 964398776320 984080384000 1205498470400 1377712537600 1506873088000 1722140672000 1928797552640 2410996940800 3013746176000 3444281344000 4821993881600 6027492352000 6888562688000 9643987763200 12054984704000 24109969408000 48219938816000
• Sum of all divisors σ(n): 141436514107200
• Sum of proper divisors (its aliquot sum) s(n): 93216575291200
• 48219938816000 is an abundant number, because the sum of its proper divisors (93216575291200) is greater than itself. Its abundance is 44996636475200

Bases of 48219938816000

• Binary: 1010111101101100010100010100110000000000000000₂
• Hexadecimal: 0x2BDB14530000
• Base-36: H3BXMKHKW

Squares and roots of 48219938816000

• 48219938816000 squared (48219938816000²) is 2325162499418783481856000000
• 48219938816000 cubed (48219938816000³) is 112119193459231375056247766122496000000000
• The square root of 48219938816000 is 6944057.8062110053
• The cube root of 48219938816000 is 36397.8349797115

Scales and comparisons

• 48,219,938,816,000 seconds is equal to 1,533,244 years, 46 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 48,219,938,816,000 would take you about three million, eight hundred thirty-three thousand, one hundred twelve 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 48219938816000 cubic inches would be around 3033.2 feet tall.

Recreational maths with 48219938816000

• 48219938816000 backwards is 00061883991284
• The number of decimal digits it has is: 14
• The sum of 48219938816000's digits is 59
• More coming soon!