6407408640000

Names of 6407408640000

• Cardinal: 6407408640000 can be written as Six trillion, four hundred seven billion, four hundred eight million, six hundred forty thousand.

Scientific notation

• Scientific notation: 6.40740864 × 10¹²

Factors of 6407408640000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 2824

Divisors of 6407408640000

• Number of divisors d(n): 560
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 157 160 192 200 240 250 256 300 314 320 375 384 400 471 480 500 512 600 625 628 640 750 768 785 800 942 960 1000 1024 1200 1250 1256 1280 1500 1536 1570 1600 1875 1884 1920 2000 2048 2355 2400 2500 2512 2560 2657 3000 3072 3140 3200 3750 3768 3840 3925 4000 4096 4710 4800 5000 5024 5120 5314 6000 6144 6280 6400 7500 7536 7680 7850 7971 8000 8192 9420 9600 10000 10048 10240 10628 11775 12000 12288 12560 12800 13285 15000 15072 15360 15700 15942 16000 18840 19200 19625 20000 20096 20480 21256 23550 24000 24576 25120 25600 26570 30000 30144 30720 31400 31884 32000 37680 38400 39250 39855 40000 40192 40960 42512 47100 48000 50240 51200 53140 58875 60000 60288 61440 62800 63768 64000 66425 75360 76800 78500 79710 80000 80384 85024 94200 96000 98125 100480 102400 106280 117750 120000 120576 122880 125600 127536 128000 132850 150720 153600 157000 159420 160000 160768 170048 188400 192000 196250 199275 200960 204800 212560 235500 240000 241152 251200 255072 256000 265700 294375 301440 307200 314000 318840 320000 321536 332125 340096 376800 384000 392500 398550 401920 417149 425120 471000 480000 482304 502400 510144 512000 531400 588750 602880 614400 628000 637680 640000 643072 664250 680192 753600 768000 785000 797100 803840 834298 850240 942000 960000 964608 996375 1004800 1020288 1024000 1062800 1177500 1205760 1251447 1256000 1275360 1280000 1286144 1328500 1360384 1507200 1536000 1570000 1594200 1607680 1660625 1668596 1700480 1884000 1920000 1929216 1992750 2009600 2040576 2085745 2125600 2355000 2411520 2502894 2512000 2550720 2560000 2657000 2720768 3014400 3072000 3140000 3188400 3215360 3321250 3337192 3400960 3768000 3840000 3858432 3985500 4019200 4081152 4171490 4251200 4710000 4823040 4981875 5005788 5024000 5101440 5120000 5314000 5441536 6028800 6257235 6280000 6376800 6430720 6642500 6674384 6801920 7536000 7680000 7971000 8038400 8162304 8342980 8502400 9420000 9646080 9963750 10011576 10048000 10202880 10428725 10628000 10883072 12057600 12514470 12560000 12753600 13285000 13348768 13603840 15072000 15360000 15942000 16076800 16324608 16685960 17004800 18840000 19292160 19927500 20023152 20096000 20405760 20857450 21256000 21766144 24115200 25028940 25120000 25507200 26570000 26697536 27207680 30144000 31286175 31884000 32153600 32649216 33371920 34009600 37680000 39855000 40046304 40192000 40811520 41714900 42512000 48230400 50057880 50240000 51014400 52143625 53140000 53395072 54415360 60288000 62572350 63768000 65298432 66743840 68019200 75360000 79710000 80092608 80384000 81623040 83429800 85024000 96460800 100115760 100480000 102028800 104287250 106280000 106790144 108830720 120576000 125144700 127536000 133487680 136038400 150720000 156430875 159420000 160185216 160768000 163246080 166859600 170048000 200231520 200960000 204057600 208574500 212560000 213580288 241152000 250289400 255072000 260718125 266975360 272076800 301440000 312861750 318840000 320370432 326492160 333719200 340096000 400463040 401920000 408115200 417149000 425120000 427160576 482304000 500578800 510144000 521436250 533950720 544153600 602880000 625723500 637680000 640740864 667438400 680192000 782154375 800926080 803840000 816230400 834298000 850240000 854321152 1001157600 1020288000 1042872500 1067901440 1205760000 1251447000 1275360000 1281481728 1334876800 1360384000 1564308750 1601852160 1632460800 1668596000 1700480000 1708642304 2002315200 2040576000 2085745000 2135802880 2411520000 2502894000 2550720000 2562963456 2669753600 2720768000 3128617500 3203704320 3337192000 3400960000 3417284608 4004630400 4081152000 4171490000 4271605760 5005788000 5101440000 5125926912 5339507200 6257235000 6407408640 6674384000 6801920000 8009260800 8162304000 8342980000 8543211520 10011576000 10202880000 10251853824 10679014400 12514470000 12814817280 13348768000 13603840000 16018521600 16685960000 17086423040 20023152000 20405760000 21358028800 25028940000 25629634560 26697536000 32037043200 33371920000 40046304000 40811520000 42716057600 50057880000 51259269120 53395072000 64074086400 66743840000 80092608000 85432115200 100115760000 106790144000 128148172800 133487680000 160185216000 200231520000 213580288000 256296345600 266975360000 320370432000 400463040000 427160576000 533950720000 640740864000 800926080000 1067901440000 1281481728000 1601852160000 2135802880000 3203704320000 6407408640000
• Sum of all divisors σ(n): 21493964142288
• Sum of proper divisors (its aliquot sum) s(n): 15086555502288
• 6407408640000 is an abundant number, because the sum of its proper divisors (15086555502288) is greater than itself. Its abundance is 8679146862288

Bases of 6407408640000

• Binary: 1011101001111010111010100001110000000000000₂
• Hexadecimal: 0x5D3D750E000
• Base-36: 29RITO45C

Squares and roots of 6407408640000

• 6407408640000 squared (6407408640000²) is 41054885479946649600000000
• 6407408640000 cubed (6407408640000³) is 263055427938420709386092544000000000000
• The square root of 6407408640000 is 2531285.9656704139
• The cube root of 6407408640000 is 18573.5167094707

Scales and comparisons

• 6,407,408,640,000 seconds is equal to 203,735 years, 40 weeks, 2 days, 5 hours, 20 minutes.
• To count from 1 to 6,407,408,640,000 would take you about five hundred nine thousand, three hundred thirty-nine 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 6407408640000 cubic inches would be around 1547.8 feet tall.

Recreational maths with 6407408640000

• 6407408640000 backwards is 0000468047046
• The number of decimal digits it has is: 13
• The sum of 6407408640000's digits is 39
• More coming soon!