21983920128000

Names of 21983920128000

• Cardinal: 21983920128000 can be written as Twenty-one trillion, nine hundred eighty-three billion, nine hundred twenty million, one hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 2.1983920128 × 10¹³

Factors of 21983920128000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 1563

Divisors of 21983920128000

• Number of divisors d(n): 736
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 128 135 144 150 160 180 192 200 216 225 240 250 256 270 288 300 320 360 375 384 400 432 450 480 500 512 540 576 600 640 675 720 750 768 800 864 900 960 1000 1024 1080 1125 1152 1200 1280 1350 1440 1500 1536 1553 1600 1728 1800 1920 2000 2048 2160 2250 2304 2400 2560 2700 2880 3000 3072 3106 3200 3375 3456 3600 3840 4000 4096 4320 4500 4608 4659 4800 5120 5400 5760 6000 6144 6212 6400 6750 6912 7200 7680 7765 8000 8192 8640 9000 9216 9318 9600 10240 10800 11520 12000 12288 12424 12800 13500 13824 13977 14400 15360 15530 16000 16384 17280 18000 18432 18636 19200 20480 21600 23040 23295 24000 24576 24848 25600 27000 27648 27954 28800 30720 31060 32000 32768 34560 36000 36864 37272 38400 38825 40960 41931 43200 46080 46590 48000 49152 49696 51200 54000 55296 55908 57600 61440 62120 64000 65536 69120 69885 72000 73728 74544 76800 77650 81920 83862 86400 92160 93180 96000 98304 99392 102400 108000 110592 111816 115200 116475 122880 124240 128000 131072 138240 139770 144000 147456 149088 153600 155300 163840 167724 172800 184320 186360 192000 194125 196608 198784 204800 209655 216000 221184 223632 230400 232950 245760 248480 256000 262144 276480 279540 288000 294912 298176 307200 310600 327680 335448 345600 349425 368640 372720 384000 388250 393216 397568 409600 419310 432000 442368 447264 460800 465900 491520 496960 512000 524288 552960 559080 576000 582375 589824 596352 614400 621200 655360 670896 691200 698850 737280 745440 768000 776500 786432 795136 819200 838620 864000 884736 894528 921600 931800 983040 993920 1024000 1048275 1048576 1105920 1118160 1152000 1164750 1179648 1192704 1228800 1242400 1310720 1341792 1382400 1397700 1474560 1490880 1536000 1553000 1572864 1590272 1638400 1677240 1728000 1747125 1769472 1789056 1843200 1863600 1966080 1987840 2048000 2096550 2097152 2211840 2236320 2304000 2329500 2359296 2385408 2457600 2484800 2621440 2683584 2764800 2795400 2949120 2981760 3072000 3106000 3145728 3180544 3276800 3354480 3456000 3494250 3538944 3578112 3686400 3727200 3932160 3975680 4096000 4193100 4194304 4423680 4472640 4608000 4659000 4718592 4770816 4915200 4969600 5241375 5242880 5367168 5529600 5590800 5898240 5963520 6144000 6212000 6291456 6361088 6553600 6708960 6912000 6988500 7077888 7156224 7372800 7454400 7864320 7951360 8192000 8386200 8847360 8945280 9216000 9318000 9437184 9541632 9830400 9939200 10482750 10485760 10734336 11059200 11181600 11796480 11927040 12288000 12424000 12582912 12722176 13107200 13417920 13824000 13977000 14155776 14312448 14745600 14908800 15728640 15902720 16384000 16772400 17694720 17890560 18432000 18636000 18874368 19083264 19660800 19878400 20965500 20971520 21468672 22118400 22363200 23592960 23854080 24576000 24848000 25444352 26214400 26835840 27648000 27954000 28311552 28624896 29491200 29817600 31457280 31805440 32768000 33544800 35389440 35781120 36864000 37272000 37748736 38166528 39321600 39756800 41931000 42937344 44236800 44726400 47185920 47708160 49152000 49696000 50888704 52428800 53671680 55296000 55908000 56623104 57249792 58982400 59635200 62914560 63610880 65536000 67089600 70778880 71562240 73728000 74544000 76333056 78643200 79513600 83862000 85874688 88473600 89452800 94371840 95416320 98304000 99392000 101777408 104857600 107343360 110592000 111816000 113246208 114499584 117964800 119270400 127221760 131072000 134179200 141557760 143124480 147456000 149088000 152666112 157286400 159027200 167724000 171749376 176947200 178905600 188743680 190832640 196608000 198784000 203554816 214686720 221184000 223632000 228999168 235929600 238540800 254443520 262144000 268358400 283115520 286248960 294912000 298176000 305332224 314572800 318054400 335448000 343498752 353894400 357811200 381665280 393216000 397568000 407109632 429373440 442368000 447264000 457998336 471859200 477081600 508887040 524288000 536716800 566231040 572497920 589824000 596352000 610664448 636108800 670896000 686997504 707788800 715622400 763330560 786432000 795136000 814219264 858746880 884736000 894528000 915996672 943718400 954163200 1017774080 1073433600 1144995840 1179648000 1192704000 1221328896 1272217600 1341792000 1373995008 1415577600 1431244800 1526661120 1572864000 1590272000 1628438528 1717493760 1769472000 1789056000 1831993344 1908326400 2035548160 2146867200 2289991680 2359296000 2385408000 2442657792 2544435200 2683584000 2747990016 2831155200 2862489600 3053322240 3180544000 3256877056 3434987520 3538944000 3578112000 3663986688 3816652800 4071096320 4293734400 4579983360 4718592000 4770816000 4885315584 5088870400 5367168000 5495980032 5724979200 6106644480 6361088000 6513754112 6869975040 7077888000 7156224000 7327973376 7633305600 8142192640 8587468800 9159966720 9541632000 9770631168 10177740800 10734336000 10991960064 11449958400 12213288960 12722176000 13739950080 14155776000 14312448000 14655946752 15266611200 16284385280 17174937600 18319933440 19083264000 19541262336 20355481600 21468672000 21983920128 22899916800 24426577920 25444352000 27479900160 28624896000 29311893504 30533222400 32568770560 34349875200 36639866880 38166528000 40710963200 42937344000 43967840256 45799833600 48853155840 50888704000 54959800320 57249792000 58623787008 61066444800 68699750400 73279733760 76333056000 81421926400 85874688000 87935680512 91599667200 97706311680 101777408000 109919600640 114499584000 122132889600 137399500800 146559467520 152666112000 162843852800 171749376000 175871361024 183199334400 203554816000 219839201280 228999168000 244265779200 274799001600 293118935040 305332224000 343498752000 366398668800 407109632000 439678402560 457998336000 488531558400 549598003200 610664448000 686997504000 732797337600 814219264000 879356805120 915996672000 1099196006400 1221328896000 1373995008000 1465594675200 1831993344000 2198392012800 2442657792000 2747990016000 3663986688000 4396784025600 5495980032000 7327973376000 10991960064000 21983920128000
• Sum of all divisors σ(n): 81343986534720
• Sum of proper divisors (its aliquot sum) s(n): 59360066406720
• 21983920128000 is an abundant number, because the sum of its proper divisors (59360066406720) is greater than itself. Its abundance is 37376146278720

Bases of 21983920128000

• Binary: 100111111111010000111110000000000000000000000₂
• Hexadecimal: 0x13FE87C00000
• Base-36: 7SJ9UFPC0

Squares and roots of 21983920128000

• 21983920128000 squared (21983920128000²) is 483292744194283536384000000
• 21983920128000 cubed (21983920128000³) is 10624669086809064978051237937152000000000
• The square root of 21983920128000 is 4688701.3263802589
• The cube root of 21983920128000 is 28013.5649102609

Scales and comparisons

• 21,983,920,128,000 seconds is equal to 699,020 years, 34 weeks, 2 days.
• To count from 1 to 21,983,920,128,000 would take you about one million, seven hundred forty-seven thousand, five hundred fifty-one 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 21983920128000 cubic inches would be around 2334.5 feet tall.

Recreational maths with 21983920128000

• 21983920128000 backwards is 00082102938912
• 21983920128000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 21983920128000's digits is 45
• More coming soon!