213907721275904000

Names of 213907721275904000

• Cardinal: 213907721275904000 can be written as Two hundred thirteen quadrillion, nine hundred seven trillion, seven hundred twenty-one billion, two hundred seventy-five million, nine hundred four thousand.

Scientific notation

• Scientific notation: 2.13907721275904 × 10¹⁷

Factors of 213907721275904000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 2636

Divisors of 213907721275904000

• Number of divisors d(n): 1664
• Complete list of divisors:
  1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 127 128 160 181 184 200 230 250 254 256 320 362 368 400 421 460 500 508 512 575 635 640 724 736 800 842 905 920 1000 1016 1024 1150 1270 1280 1448 1472 1600 1684 1810 1840 1877 2000 2032 2048 2105 2300 2540 2560 2875 2896 2921 2944 3175 3200 3368 3620 3680 3754 4000 4064 4096 4163 4210 4525 4600 5080 5120 5750 5792 5842 5888 6350 6400 6736 7240 7360 7508 8000 8128 8326 8420 9050 9200 9385 9683 10160 10240 10525 11500 11584 11684 11776 12700 12800 13472 14480 14605 14720 15016 15875 16000 16256 16652 16840 18100 18400 18770 19366 20320 20480 20815 21050 22625 22987 23000 23168 23368 23552 25400 25600 26944 28960 29210 29440 30032 31750 32000 32512 33304 33680 36200 36800 37540 38732 40640 41630 42100 43171 45250 45974 46000 46336 46736 46925 47104 48415 50800 51200 52625 53467 53888 57920 58420 58880 60064 63500 64000 65024 66608 67360 72400 73025 73600 75080 76201 77464 81280 83260 84200 86342 90500 91948 92000 92672 93472 93850 94208 96830 101600 102400 104075 105250 106934 107776 114935 115840 116840 117760 120128 127000 128000 130048 133216 134720 144800 146050 147200 150160 152402 154928 162560 166520 168400 172684 181000 183896 184000 185344 186944 187700 193660 203200 208150 210500 213868 215552 215855 229870 231680 233680 234625 235520 238379 240256 242075 254000 256000 260096 266432 267335 269440 289600 292100 294400 300320 304804 309856 325120 333040 336800 339737 345368 362000 365125 367792 368000 370688 373888 375400 381005 387320 406400 416300 421000 427736 431104 431710 459740 463360 467360 469250 471040 476758 480512 484150 508000 512000 520192 520375 528701 532864 534670 538880 574675 579200 584200 588800 600640 609608 619712 650240 666080 673600 679474 690736 724000 730250 735584 736000 741376 747776 750800 762010 774640 790217 812800 832600 842000 855472 862208 863420 919480 926720 934720 938500 953516 961024 968300 1016000 1040750 1057402 1065728 1069340 1077760 1079275 1149350 1158400 1168400 1177600 1191895 1201280 1210375 1219216 1229741 1239424 1300480 1332160 1336675 1347200 1358948 1381472 1448000 1460500 1471168 1472000 1495552 1501600 1524020 1549280 1580434 1625600 1665200 1684000 1698685 1710944 1724416 1726840 1752623 1838960 1853440 1869440 1877000 1905025 1907032 1922048 1936600 2032000 2081500 2114804 2131456 2138680 2155520 2158550 2298700 2316800 2336800 2355200 2383790 2402560 2420750 2438432 2459482 2478848 2600960 2643505 2664320 2673350 2694400 2717896 2762944 2873375 2896000 2921000 2942336 2944000 2991104 3003200 3048040 3098560 3160868 3251200 3330400 3368000 3397370 3421888 3453680 3505246 3677920 3706880 3738880 3754000 3810050 3814064 3844096 3873200 3951085 4064000 4163000 4229608 4262912 4277360 4311040 4317100 4597400 4633600 4673600 4767580 4805120 4841500 4876864 4918964 4957696 5287010 5328640 5346700 5388800 5396375 5435792 5482717 5525888 5746750 5792000 5842000 5884672 5888000 5959475 5982208 6006400 6096080 6148705 6197120 6321736 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127023587456000 133692325797440 145317745432000 147726326848000 167115407246800 168431276595200 186006714152960 208894259058500 210539095744000 213907721275904 232508392691200 236362122956800 254047174912000 267384651594880 290635490864000 295452653696000 334230814493600 336862553190400 372013428305920 417788518117000 421078191488000 427815442551808 465016785382400 508094349824000 534769303189760 581270981728000 590905307392000 668461628987200 835577036234000 842156382976000 855630885103616 930033570764800 1069538606379520 1162541963456000 1181810614784000 1336923257974400 1671154072468000 1684312765952000 1711261770207232 1860067141529600 2139077212759040 2325083926912000 2673846515948800 3342308144936000 4278154425518080 4650167853824000 5347693031897600 6684616289872000 8556308851036160 9300335707648000 10695386063795200 13369232579744000 21390772127590400 26738465159488000 42781544255180800 53476930318976000 106953860637952000 213907721275904000
• Sum of all divisors σ(n): 566189958149996544
• Sum of proper divisors (its aliquot sum) s(n): 352282236874092544
• 213907721275904000 is an abundant number, because the sum of its proper divisors (352282236874092544) is greater than itself. Its abundance is 138374515598188544

Bases of 213907721275904000

• Binary: 1011110111111100111111000001101101010111010001000000000000₂
• Hexadecimal: 0x2F7F3F06D5D1000
• Base-36: 1MI7YIJTZ5KW

Squares and roots of 213907721275904000

• 213907721275904000 squared (213907721275904000²) is 45756513221449832785691017216000000
• 213907721275904000 cubed (213907721275904000³) is 9787671476731107070869141567749619149963264000000000
• The square root of 213907721275904000 is 462501590.5658098381
• The cube root of 213907721275904000 is 598056.4158173855

Scales and comparisons

• 213,907,721,275,904,000 seconds is equal to 6,801,603,876 years, 28 weeks, 3 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 213,907,721,275,904,000 would take you about twenty billion, four hundred four million, eight hundred eleven thousand, six hundred twenty-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 213907721275904000 cubic inches would be around 49838 feet tall.

Recreational maths with 213907721275904000

• 213907721275904000 backwards is 000409572127709312
• The number of decimal digits it has is: 18
• The sum of 213907721275904000's digits is 59
• More coming soon!