21864960048000

Names of 21864960048000

• Cardinal: 21864960048000 can be written as Twenty-one trillion, eight hundred sixty-four billion, nine hundred sixty million, forty-eight thousand.

Scientific notation

• Scientific notation: 2.1864960048 × 10¹³

Factors of 21864960048000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 141021

Divisors of 21864960048000

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 61 64 75 80 96 100 106 120 122 125 128 150 159 160 183 192 200 212 240 244 250 265 300 305 318 320 366 375 384 400 424 480 488 500 530 600 610 636 640 732 750 795 800 848 915 960 976 1000 1060 1200 1220 1272 1325 1464 1500 1525 1590 1600 1696 1830 1920 1952 2000 2120 2400 2440 2544 2650 2928 3000 3050 3180 3200 3233 3392 3660 3904 3975 4000 4240 4575 4800 4880 5088 5300 5856 6000 6100 6360 6466 6625 6784 7320 7625 7808 7950 8000 8480 9150 9600 9699 9760 10176 10600 11712 12000 12200 12720 12932 13250 14640 15250 15900 16000 16165 16960 18300 19398 19520 19875 20352 21200 22875 23424 24000 24400 25440 25864 26500 29280 30500 31800 32330 33920 36600 38796 39040 39750 42400 45750 48000 48495 48800 50880 51728 53000 58560 61000 63600 64660 73200 77592 79500 80825 84800 91500 96990 97600 101760 103456 106000 117120 122000 127200 129320 140897 146400 155184 159000 161650 169600 183000 193980 195200 206912 212000 242475 244000 254400 258640 281794 292800 310368 318000 323300 366000 387960 404125 413824 422691 424000 484950 488000 508800 517280 563588 585600 620736 636000 646600 704485 732000 775920 808250 845382 848000 969900 976000 1034560 1127176 1212375 1241472 1272000 1293200 1408970 1464000 1551840 1616500 1690764 1939800 2069120 2113455 2254352 2424750 2544000 2586400 2817940 2928000 3103680 3233000 3381528 3522425 3879600 4226910 4508704 4849500 5172800 5635880 6207360 6466000 6763056 7044850 7467541 7759200 8453820 8594717 9017408 9699000 10345600 10567275 11271760 12932000 13526112 14089700 14935082 15518400 16907640 17189434 17612125 18034816 19398000 21134550 22402623 22543520 25784151 25864000 27052224 28179400 29870164 31036800 33815280 34378868 35224250 37337705 38796000 42269100 42973585 44805246 45087040 51568302 51728000 52836375 54104448 56358800 59740328 67630560 68757736 70448500 74675410 77592000 84538200 85947170 89610492 90174080 103136604 105672750 112013115 112717600 119480656 128920755 135261120 137515472 140897000 149350820 155184000 169076400 171894340 179220984 186688525 206273208 211345500 214867925 224026230 225435200 238961312 257841510 270522240 275030944 281794000 298701640 338152800 343788680 358441968 373377050 412546416 422691000 429735850 448052460 450870400 455520001 477922624 515683020 550061888 560065575 563588000 597403280 644603775 676305600 687577360 716883936 746754100 825092832 845382000 859471700 896104920 911040002 933442625 955845248 1031366040 1074339625 1100123776 1120131150 1127176000 1194806560 1289207550 1352611200 1366560003 1375154720 1433767872 1493508200 1650185664 1690764000 1718943400 1792209840 1822080004 1866885250 2062732080 2148679250 2240262300 2254352000 2277600005 2389613120 2578415100 2733120006 2750309440 2800327875 2867535744 2987016400 3223018875 3300371328 3381528000 3437886800 3584419680 3644160008 3733770500 4125464160 4297358500 4480524600 4555200010 4779226240 5156830200 5466240012 5500618880 5600655750 5974032800 6446037750 6763056000 6832800015 6875773600 7168839360 7288320016 7467541000 8250928320 8594717000 8961049200 9110400020 10313660400 10932480024 11201311500 11388000025 11948065600 12892075500 13665600030 13751547200 14337678720 14576640032 14935082000 16501856640 17189434000 17922098400 18220800040 20627320800 21864960048 22402623000 22776000050 23896131200 25784151000 27331200060 27503094400 29153280064 29870164000 34164000075 34378868000 35844196800 36441600080 41254641600 43729920096 44805246000 45552000100 51568302000 54662400120 56940000125 58306560128 59740328000 68328000150 68757736000 71688393600 72883200160 82509283200 87459840192 89610492000 91104000200 103136604000 109324800240 113880000250 119480656000 136656000300 137515472000 145766400320 170820000375 174919680384 179220984000 182208000400 206273208000 218649600480 227760000500 273312000600 291532800640 341640000750 358441968000 364416000800 412546416000 437299200960 455520001000 546624001200 683280001500 728832001600 874598401920 911040002000 1093248002400 1366560003000 1457664003200 1822080004000 2186496004800 2733120006000 3644160008000 4372992009600 5466240012000 7288320016000 10932480024000 21864960048000
• Sum of all divisors σ(n): 75061121316480
• Sum of proper divisors (its aliquot sum) s(n): 53196161268480
• 21864960048000 is an abundant number, because the sum of its proper divisors (53196161268480) is greater than itself. Its abundance is 31331201220480

Bases of 21864960048000

• Binary: 100111110001011010101001011010011101110000000₂
• Hexadecimal: 0x13E2D52D3B80
• Base-36: 7R0MGOC5C

Squares and roots of 21864960048000

• 21864960048000 squared (21864960048000²) is 478076477900636162304000000
• 21864960048000 cubed (21864960048000³) is 10453123089185964602561003630592000000000
• The square root of 21864960048000 is 4675998.2942682945
• The cube root of 21864960048000 is 27962.9441988781

Scales and comparisons

• 21,864,960,048,000 seconds is equal to 695,238 years, 5 weeks, 5 hours, 20 minutes.
• To count from 1 to 21,864,960,048,000 would take you about one million, seven hundred thirty-eight thousand and ninety-five 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 21864960048000 cubic inches would be around 2330.2 feet tall.

Recreational maths with 21864960048000

• 21864960048000 backwards is 00084006946812
• 21864960048000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 21864960048000's digits is 48
• More coming soon!