312134864849704000

Names of 312134864849704000

• Cardinal: 312134864849704000 can be written as Three hundred twelve quadrillion, one hundred thirty-four trillion, eight hundred sixty-four billion, eight hundred forty-nine million, seven hundred four thousand.

Scientific notation

• Scientific notation: 3.12134864849704 × 10¹⁷

Factors of 312134864849704000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2629

Divisors of 312134864849704000

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 169 200 208 250 260 320 325 338 400 416 500 520 650 676 800 832 845 1000 1040 1300 1352 1600 1625 1690 2000 2080 2197 2600 2609 2704 3250 3380 4000 4160 4225 4394 5200 5218 5408 6500 6760 8000 8450 8788 10400 10436 10816 10985 13000 13045 13520 16900 17576 20800 20872 21125 21970 26000 26090 27040 33800 33917 35152 41744 42250 43940 52000 52180 54080 54925 65225 67600 67834 70304 83488 84500 87880 104000 104360 109850 130450 135200 135668 140608 166976 169000 169585 175760 208720 219700 260900 270400 271336 274625 326125 338000 339170 351520 417440 439400 440921 521800 542672 549250 652250 676000 678340 703040 834880 847925 878800 881842 1043600 1085344 1098500 1304500 1352000 1356680 1695850 1757600 1763684 2087200 2170688 2197000 2204605 2609000 2713360 3391700 3515200 3527368 4174400 4239625 4394000 4409210 5218000 5426720 5731973 6783400 6806881 7054736 8479250 8788000 8818420 10436000 10853440 11023025 11463946 13566800 13613762 14109472 16958500 17576000 17636840 20872000 22046050 22927892 27133600 27227524 28218944 28659865 33917000 34034405 35273680 44092100 45855784 54267200 54455048 55115125 57319730 67834000 68068810 70547360 88184200 88489453 91711568 108910096 110230250 114639460 135668000 136137620 141094720 143299325 170172025 176368400 176978906 183423136 217820192 220460500 229278920 271336000 272275240 286598650 340344050 352736800 353957812 366846272 435640384 440921000 442447265 458557840 544550480 573197300 680688100 705473600 707915624 716496625 850860125 881842000 884894530 917115680 1089100960 1146394600 1150362889 1361376200 1415831248 1432993250 1701720250 1763684000 1769789060 1834231360 2178201920 2212236325 2292789200 2300725778 2722752400 2831662496 2865986500 3403440500 3527368000 3539578120 4424472650 4585578400 4601451556 5445504800 5663324992 5731973000 5751814445 6806881000 7079156240 8848945300 9171156800 9202903112 10891009600 11061181625 11463946000 11503628890 13613762000 14158312480 14954717557 17697890600 18405806224 22122363250 22927892000 23007257780 27227524000 28316624960 28759072225 29909435114 35395781200 36811612448 44244726500 45855784000 46014515560 54455048000 57518144450 59818870228 70791562400 73623224896 74773587785 88489453000 92029031120 115036288900 119637740456 141583124800 143795361125 149547175570 176978906000 184058062240 230072577800 239275480912 287590722250 299094351140 353957812000 368116124480 373867938925 460145155600 478550961824 575181444500 598188702280 707915624000 747735877850 920290311200 957101923648 1150362889000 1196377404560 1495471755700 1840580622400 1869339694625 2300725778000 2392754809120 2990943511400 3738679389250 4601451556000 4785509618240 5981887022800 7477358778500 9202903112000 11963774045600 14954717557000 23927548091200 29909435114000 59818870228000 119637740456000
• Sum of all divisors σ(n): 312336312042194960
• Sum of proper divisors (its aliquot sum) s(n): 201447192490960
• 312134864849704000 is a deficient number, because the sum of its proper divisors (201447192490960) is less than itself. Its deficiency is 311933417657213040

Bases of 312134864849704000

• Binary: 10001010100111011010000000101111101011000011001010001000000₂
• Hexadecimal: 0x454ED017D619440
• Base-36: 2DDEKPCO4JLS

Squares and roots of 312134864849704000

• 312134864849704000 squared (312134864849704000²) is 97428173854742981682508887616000000
• 312134864849704000 cubed (312134864849704000³) is 30410729878703665379494933322365976066865664000000000
• The square root of 312134864849704000 is 558690312.1137004287
• 312134864849704000 is a perfect cube number. Its cube root is 678340

Scales and comparisons

• 312,134,864,849,704,000 seconds is equal to 9,924,923,205 years, 35 weeks, 6 days, 13 hours, 46 minutes, 40 seconds.
• To count from 1 to 312,134,864,849,704,000 would take you about twenty-nine billion, seven hundred seventy-four million, seven hundred sixty-nine thousand, six hundred seventeen 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 312134864849704000 cubic inches would be around 56528.3 feet tall.

Recreational maths with 312134864849704000

• 312134864849704000 backwards is 000407948468431213
• 312134864849704000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 312134864849704000's digits is 64
• More coming soon!