815729909774428000

Names of 815729909774428000

• Cardinal: 815729909774428000 can be written as Eight hundred fifteen quadrillion, seven hundred twenty-nine trillion, nine hundred nine billion, seven hundred seventy-four million, four hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 8.15729909774428 × 10¹⁷

Factors of 815729909774428000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3353534

Divisors of 815729909774428000

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 709 800 880 968 1000 1100 1210 1375 1418 1760 1936 2000 2200 2420 2750 2836 3025 3545 3872 4000 4400 4840 5500 5672 6050 7090 7799 8800 9680 11000 11344 12100 14180 15125 15598 17725 19360 22000 22688 24200 28360 30250 31196 35450 38995 44000 48400 56720 60500 62392 70900 77990 85789 88625 96800 113440 121000 124784 141800 155980 171578 177250 194975 242000 249568 283600 311960 343156 354500 389950 428945 484000 502681 567200 623920 686312 709000 779900 857890 974875 1005362 1247840 1372624 1418000 1559800 1715780 1949750 2010724 2144725 2513405 2745248 2836000 3119600 3352807 3431560 3899500 4021448 4289450 5026810 5529491 6239200 6705614 6863120 7799000 8042896 8578900 10053620 10723625 11058982 12567025 13411228 13726240 15598000 16085792 16764035 17157800 20107240 21447250 22117964 25134050 26822456 27647455 31196000 33528070 34315600 36880877 40214480 42894500 44235928 50268100 53644912 55294910 60824401 62835125 67056140 68631200 73761754 80428960 83820175 85789000 88471856 100536200 107289824 110589820 121648802 125670250 134112280 138237275 147523508 167640350 171578000 176943712 184404385 201072400 221179640 243297604 251340500 268224560 276474550 295047016 304122005 335280700 343156000 368808770 402144800 405689647 419100875 442359280 486595208 502681000 536449120 552949100 590094032 608244010 670561400 691186375 737617540 811379294 838201750 884718560 922021925 973190416 1005362000 1105898200 1180188064 1216488020 1341122800 1382372750 1475235080 1520610025 1622758588 1676403500 1844043850 1946380832 2010724000 2028448235 2211796400 2377140163 2432976040 2682245600 2764745500 2950470160 3041220050 3245517176 3352807000 3688087700 4056896470 4423592800 4610109625 4754280326 4865952080 5529491000 5900940320 6082440100 6491034352 6705614000 7376175400 7603050125 8113792940 9220219250 9508560652 9731904160 10142241175 11058982000 11885700815 12164880200 12982068704 13411228000 14752350800 15206100250 16227585880 18440438500 19017121304 20284482350 22117964000 23771401630 24329760400 26148541793 29504701600 30412200500 32455171760 36880877000 38034242608 40568964700 47542803260 48659520800 50711205875 52297083586 59428504075 60824401000 64910343520 73761754000 76068485216 81137929400 95085606520 101422411750 104594167172 118857008150 121648802000 130742708965 147523508000 162275858800 190171213040 202844823500 209188334344 237714016300 243297604000 261485417930 287633959723 297142520375 324551717600 380342426080 405689647000 418376668688 475428032600 522970835860 575267919446 594285040750 653713544825 811379294000 836753337376 950856065200 1045941671720 1150535838892 1188570081500 1307427089650 1438169798615 1622758588000 1685392375567 1901712130400 2091883343440 2301071677784 2377140163000 2614854179300 2876339597230 3268567724125 3370784751134 4183766686880 4602143355568 4754280326000 5229708358600 5752679194460 6537135448250 6741569502268 7190848993075 8426961877835 9204286711136 9508560652000 10459416717200 11505358388920 13074270896500 13483139004536 14381697986150 16853923755670 18539316131237 20918833434400 23010716777840 26148541793000 26966278009072 28763395972300 33707847511340 35954244965375 37078632262474 42134809389175 46021433555680 52297083586000 53932556018144 57526791944600 67415695022680 71908489930750 74157264524948 84269618778350 92696580656185 104594167172000 115053583889200 134831390045360 143816979861500 148314529049896 168539237556700 185393161312370 203932477443607 210674046945875 230107167778400 269662780090720 287633959723000 296629058099792 337078475113400 370786322624740 407864954887214 421348093891750 463482903280925 575267919446000 593258116199584 674156950226800 741572645249480 815729909774428 842696187783500 926965806561850 1019662387218035 1150535838892000 1348313900453600 1483145290498960 1631459819548856 1685392375567000 1853931613123700 2039324774436070 2317414516404625 2966290580997920 3262919639097712 3370784751134000 3707863226247400 4078649548872140 4634829032809250 5098311936090175 6525839278195424 6741569502268000 7415726452494800 8157299097744280 9269658065618500 10196623872180350 14831452904989600 16314598195488560 18539316131237000 20393247744360700 25491559680450875 32629196390977120 37078632262474000 40786495488721400 50983119360901750 74157264524948000 81572990977442800 101966238721803500 163145981954885600 203932477443607000 407864954887214000 815729909774428000
• Sum of all divisors σ(n): 2206129081008015072
• Sum of proper divisors (its aliquot sum) s(n): 1390399171233587072
• 815729909774428000 is an abundant number, because the sum of its proper divisors (1390399171233587072) is greater than itself. Its abundance is 574669261459159072

Bases of 815729909774428000

• Binary: 101101010010000011100000011111110000110001000010011101100000₂
• Hexadecimal: 0xB520E07F0C42760
• Base-36: 67404B6TK7DS

Squares and roots of 815729909774428000

• 815729909774428000 squared (815729909774428000²) is 665415285700596445533842727184000000
• 815729909774428000 cubed (815729909774428000³) is 542799150967072768635586488387998901783650752000000000
• The square root of 815729909774428000 is 903177673.4255713431
• The cube root of 815729909774428000 is 934362.6337774241

Scales and comparisons

• 815,729,909,774,428,000 seconds is equal to 25,937,687,912 years, 28 weeks, 2 days, 23 hours, 46 minutes, 40 seconds.
• To count from 1 to 815,729,909,774,428,000 would take you about seventy-seven billion, eight hundred thirteen million, sixty-three thousand, seven hundred thirty-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 815729909774428000 cubic inches would be around 77863.6 feet tall.

Recreational maths with 815729909774428000

• 815729909774428000 backwards is 000824477909927518
• The number of decimal digits it has is: 18
• The sum of 815729909774428000's digits is 82
• More coming soon!