827213125123980

Names of 827213125123980

• Cardinal: 827213125123980 can be written as Eight hundred twenty-seven trillion, two hundred thirteen billion, one hundred twenty-five million, one hundred twenty-three thousand, nine hundred eighty.

Scientific notation

• Scientific notation: 8.2721312512398 × 10¹⁴

Factors of 827213125123980

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 10506680

Divisors of 827213125123980

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 53 54 60 63 70 81 84 90 105 106 108 126 131 135 140 159 162 180 189 210 212 252 262 265 270 315 318 324 371 378 393 405 420 477 524 530 540 567 630 636 655 742 756 786 795 810 917 945 954 1060 1113 1134 1179 1260 1310 1431 1484 1572 1590 1620 1834 1855 1890 1908 1965 2226 2268 2358 2385 2620 2751 2835 2862 3180 3339 3537 3668 3710 3780 3930 4293 4452 4585 4716 4770 5502 5565 5670 5724 5895 6678 6943 7074 7155 7420 7860 8253 8586 9170 9540 10017 10611 11004 11130 11340 11790 13356 13755 13886 14148 14310 16506 16695 17172 17685 18340 20034 20829 21222 21465 22260 23580 24759 27510 27772 28620 30051 33012 33390 34715 35370 40068 41265 41658 42444 42930 48601 49518 50085 53055 55020 60102 62487 66780 69430 70740 74277 82530 83316 85860 97202 99036 100170 104145 106110 120204 123795 124974 138860 145803 148554 150255 165060 187461 194404 200340 208290 212220 243005 247590 249948 291606 297108 300510 312435 371385 374922 416580 437409 486010 495180 562383 583212 601020 624870 729015 742770 749844 874818 937305 972020 1124766 1249740 1312227 1458030 1485540 1749636 1874610 2187045 2249532 2624454 2811915 2916060 3749220 3936681 4374090 5248908 5623830 6561135 7873362 8748180 10506479 11247660 13122270 15746724 19683405 21012958 26244540 31519437 39366810 42025916 52532395 63038874 73545353 78733620 94558311 105064790 126077748 147090706 157597185 189116622 210129580 220636059 283674933 294181412 315194370 367726765 378233244 441272118 472791555 556843387 567349866 630388740 661908177 735453530 851024799 882544236 945583110 1103180295 1113686774 1134699732 1323816354 1376348749 1418374665 1470907060 1670530161 1702049598 1891166220 1985724531 2206360590 2227373548 2647632708 2752697498 2784216935 2836749330 3309540885 3341060322 3404099196 3897903709 3971449062 4129046247 4255123995 4412721180 5011590483 5505394996 5568433870 5673498660 5957173593 6619081770 6682120644 6881743745 7795807418 7942898124 8258092494 8352650805 8510247990 9634441243 9928622655 10023180966 11136867740 11693711127 11914347186 12387138741 13238163540 13763487490 15034771449 15591614836 16516184988 16705301610 17020495980 19268882486 19489518545 19857245310 20046361932 20645231235 23387422254 23828694372 24774277482 25057952415 27526974980 28903323729 29785867965 30069542898 33410603220 35081133381 37161416223 38537764972 38979037090 39714490620 41290462470 45104314347 46774844508 48172206215 49548554964 50115904830 57806647458 58468555635 59571735930 60139085796 61935693705 70162266762 72946483697 74322832446 75173857245 77958074180 82580924940 86709971187 90208628694 96344412430 100231809660 105243400143 111484248669 115613294916 116937111270 119143471860 123871387410 140324533524 144516618645 145892967394 148645664892 150347714490 173419942374 175405666905 180417257388 185807081115 192688824860 210486800286 218839451091 222968497338 225521571735 233874222540 247742774820 260129913561 289033237290 291785934788 300695428980 315730200429 346839884748 350811333810 364732418485 371614162230 420973600572 433549855935 437678902182 445936994676 451043143470 510625385879 520259827122 526217000715 557421243345 578066474580 631460400858 656518353273 701622667620 729464836970 743228324460 780389740683 867099711870 875357804364 902086286940 1021250771758 1040519654244 1052434001430 1094197255455 1114842486690 1262920801716 1300649567805 1313036706546 1458929673940 1531876157637 1560779481366 1578651002145 1734199423740 1969555059819 2042501543516 2104868002860 2188394510910 2229684973380 2553126929395 2601299135610 2626073413092 3063752315274 3121558962732 3157302004290 3282591766365 3901948703415 3939110119638 4376789021820 4595628472911 5106253858790 5202598271220 5908665179457 6127504630548 6314604008580 6565183532730 7659380788185 7803897406830 7878220239276 9191256945822 9847775299095 10212507717580 11817330358914 13130367065460 13786885418733 15318761576370 15607794813660 18382513891644 19695550598190 22978142364555 23634660717828 27573770837466 29543325897285 30637523152740 39391101196380 41360656256199 45956284729110 55147541674932 59086651794570 68934427093665 82721312512398 91912569458220 118173303589140 137868854187330 165442625024796 206803281280995 275737708374660 413606562561990 827213125123980
• Sum of all divisors σ(n): 3044735541872640
• Sum of proper divisors (its aliquot sum) s(n): 2217522416748660
• 827213125123980 is an abundant number, because the sum of its proper divisors (2217522416748660) is greater than itself. Its abundance is 1390309291624680

Bases of 827213125123980

• Binary: 10111100000101100010010000011110011111111110001100₂
• Hexadecimal: 0x2F0589079FF8C
• Base-36: 8580GOOSR0

Squares and roots of 827213125123980

• 827213125123980 squared (827213125123980²) is 684281554377381391490371040400
• 827213125123980 cubed (827213125123980³) is 566046683061208317283305980655761451588792000
• The square root of 827213125123980 is 28761312.9937417843
• The cube root of 827213125123980 is 93872.6631451057

Scales and comparisons

• 827,213,125,123,980 seconds is equal to 26,302,818 years, 33 weeks, 2 days, 5 hours, 33 minutes.
• To count from 1 to 827,213,125,123,980 would take you about sixty-five million, seven hundred fifty-seven thousand and forty-six 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 827213125123980 cubic inches would be around 7822.7 feet tall.

Recreational maths with 827213125123980

• 827213125123980 backwards is 089321521312728
• 827213125123980 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 827213125123980's digits is 54
• More coming soon!