680009002125000

Names of 680009002125000

• Cardinal: 680009002125000 can be written as Six hundred eighty trillion, nine billion, two million, one hundred twenty-five thousand.

Scientific notation

• Scientific notation: 6.80009002125 × 10¹⁴

Factors of 680009002125000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 390

Divisors of 680009002125000

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 151 200 229 250 300 302 375 453 458 500 600 604 625 687 750 755 906 916 1000 1145 1208 1250 1374 1500 1510 1812 1832 1875 2265 2290 2500 2748 3000 3020 3125 3435 3624 3750 3775 4530 4580 5000 5496 5725 6040 6250 6870 7500 7550 9060 9160 9375 11325 11450 12500 13740 15000 15100 15625 17175 18120 18750 18875 22650 22900 25000 27480 28625 30200 31250 34350 34579 37500 37750 45300 45800 46875 52441 56625 57250 62500 68700 69158 75000 75500 85875 90600 93750 94375 103737 104882 113250 114500 125000 137400 138316 143125 151000 157323 171750 172895 187500 188750 207474 209764 226500 229000 262205 276632 283125 286250 314646 343500 345790 375000 377500 414948 419528 429375 453000 471875 518685 524410 566250 572500 629292 687000 691580 715625 755000 786615 829896 858750 864475 943750 1037370 1048820 1132500 1145000 1258584 1311025 1383160 1415625 1431250 1573230 1717500 1728950 1887500 2074740 2097640 2146875 2265000 2359375 2593425 2622050 2831250 2862500 3146460 3435000 3457900 3578125 3775000 3933075 4149480 4293750 4322375 4718750 5186850 5244100 5662500 5725000 6292920 6555125 6915800 7078125 7156250 7866150 7918591 8587500 8644750 9437500 10373700 10488200 10734375 11325000 12008989 12967125 13110250 14156250 14312500 15732300 15837182 17175000 17289500 18875000 19665375 20747400 21468750 21611875 23755773 24017978 25934250 26220500 28312500 28625000 31464600 31674364 32775625 34579000 36026967 39330750 39592955 42937500 43223750 47511546 48035956 51868500 52441000 56625000 60044945 63348728 64835625 65551250 72053934 78661500 79185910 85875000 86447500 95023092 96071912 98326875 103737000 108059375 118778865 120089890 129671250 131102500 144107868 157323000 158371820 163878125 172895000 180134835 190046184 196653750 197964775 216118750 237557730 240179780 259342500 262205000 288215736 300224725 316743640 324178125 327756250 360269670 393307500 395929550 432237500 475115460 480359560 491634375 518685000 540296875 593894325 600449450 648356250 655512500 720539340 786615000 791859100 819390625 864475000 900674175 950230920 983268750 989823875 1080593750 1187788650 1200898900 1296712500 1311025000 1441078680 1501123625 1583718200 1620890625 1638781250 1801348350 1813357339 1966537500 1979647750 2161187500 2375577300 2401797800 2458171875 2593425000 2969471625 3002247250 3241781250 3277562500 3602696700 3626714678 3933075000 3959295500 4322375000 4503370875 4751154600 4916343750 4949119375 5440072017 5938943250 6004494500 6483562500 6555125000 7205393400 7253429356 7505618125 7918591000 9006741750 9066786695 9832687500 9898238750 10880144034 11877886500 12008989000 12967125000 14506858712 14847358125 15011236250 18013483500 18133573390 19665375000 19796477500 21760288068 22516854375 23755773000 24745596875 27200360085 29694716250 30022472500 36026967000 36267146780 37528090625 39592955000 43520576136 45033708750 45333933475 49491193750 54400720170 59389432500 60044945000 72534293560 74236790625 75056181250 90067417500 90667866950 98982387500 108801440340 112584271875 118778865000 123727984375 136001800425 148473581250 150112362500 180134835000 181335733900 187640453125 197964775000 217602880680 225168543750 226669667375 247455968750 272003600850 296947162500 300224725000 362671467800 371183953125 375280906250 450337087500 453339334750 494911937500 544007201700 562921359375 593894325000 680009002125 742367906250 750561812500 900674175000 906678669500 989823875000 1088014403400 1125842718750 1133348336875 1360018004250 1484735812500 1501123625000 1813357339000 2251685437500 2266696673750 2720036008500 2969471625000 3400045010625 4503370875000 4533393347500 5440072017000 5666741684375 6800090021250 9066786695000 11333483368750 13600180042500 17000225053125 22666966737500 27200360085000 28333708421875 34000450106250 45333933475000 56667416843750 68000900212500 85001125265625 113334833687500 136001800425000 170002250531250 226669667375000 340004501062500 680009002125000
• Sum of all divisors σ(n): 2148455686915200
• Sum of proper divisors (its aliquot sum) s(n): 1468446684790200
• 680009002125000 is an abundant number, because the sum of its proper divisors (1468446684790200) is greater than itself. Its abundance is 788437682665200

Bases of 680009002125000

• Binary: 10011010100111011011101111000001000000011011001000₂
• Hexadecimal: 0x26A76EF0406C8
• Base-36: 6P1JTMJWSO

Squares and roots of 680009002125000

• 680009002125000 squared (680009002125000²) is 462412242971038254515625000000
• 680009002125000 cubed (680009002125000³) is 314444487913118768728371931470703125000000000
• The square root of 680009002125000 is 26076982.2281068405
• The cube root of 680009002125000 is 87936.9814886111

Scales and comparisons

• 680,009,002,125,000 seconds is equal to 21,622,182 years, 44 weeks, 5 days, 15 hours, 10 minutes.
• To count from 1 to 680,009,002,125,000 would take you about fifty-four million, fifty-five thousand, four hundred fifty-seven 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 680009002125000 cubic inches would be around 7328.1 feet tall.

Recreational maths with 680009002125000

• 680009002125000 backwards is 000521200900086
• The number of decimal digits it has is: 15
• The sum of 680009002125000's digits is 33
• More coming soon!