82821312000

Names of 82821312000

• Cardinal: 82821312000 can be written as Eighty-two billion, eight hundred twenty-one million, three hundred twelve thousand.

Scientific notation

• Scientific notation: 8.2821312 × 10¹⁰

Factors of 82821312000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 225

Divisors of 82821312000

• Number of divisors d(n): 1280
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 41 42 45 48 50 54 56 60 63 64 70 72 75 80 82 84 90 96 100 105 108 112 120 123 125 126 128 135 140 144 150 160 164 167 168 175 180 189 192 200 205 210 216 224 225 240 246 250 252 256 270 280 287 288 300 315 320 328 334 336 350 360 369 375 378 384 400 410 420 432 448 450 480 492 500 501 504 512 525 540 560 574 576 600 615 630 640 656 668 672 675 700 720 738 750 756 768 800 820 835 840 861 864 875 896 900 945 960 984 1000 1002 1008 1025 1050 1080 1107 1120 1125 1148 1152 1169 1200 1230 1260 1280 1312 1336 1344 1350 1400 1435 1440 1476 1500 1503 1512 1536 1575 1600 1640 1670 1680 1722 1728 1750 1792 1800 1845 1890 1920 1968 2000 2004 2016 2050 2100 2160 2214 2240 2250 2296 2304 2338 2400 2460 2505 2520 2560 2583 2624 2625 2672 2688 2700 2800 2870 2880 2952 3000 3006 3024 3075 3150 3200 3280 3340 3360 3375 3444 3456 3500 3507 3584 3600 3690 3780 3840 3936 4000 4008 4032 4100 4175 4200 4305 4320 4428 4480 4500 4509 4592 4608 4676 4725 4800 4920 5010 5040 5125 5166 5248 5250 5344 5376 5400 5535 5600 5740 5760 5845 5904 6000 6012 6048 6150 6300 6400 6560 6680 6720 6750 6847 6888 6912 7000 7014 7175 7200 7380 7515 7560 7680 7749 7872 7875 8000 8016 8064 8200 8350 8400 8610 8640 8856 8960 9000 9018 9184 9225 9352 9450 9600 9840 10020 10080 10250 10332 10496 10500 10521 10688 10752 10800 11070 11200 11480 11520 11690 11808 12000 12024 12096 12300 12525 12600 12800 12915 13120 13360 13440 13500 13694 13776 13824 14000 14028 14350 14400 14760 15030 15120 15375 15498 15744 15750 16000 16032 16128 16400 16700 16800 17220 17280 17535 17712 17920 18000 18036 18368 18450 18704 18900 19200 19680 20040 20160 20500 20541 20664 20875 20992 21000 21042 21376 21525 21600 22140 22400 22545 22960 23040 23380 23616 23625 24000 24048 24192 24600 25050 25200 25830 26240 26720 26880 27000 27388 27552 27675 28000 28056 28700 28800 29225 29520 30060 30240 30750 30996 31488 31500 31563 32000 32064 32256 32800 33400 33600 34235 34440 34560 35070 35424 35875 36000 36072 36736 36900 37408 37575 37800 38400 38745 39360 40080 40320 41000 41082 41328 41750 42000 42084 42752 43050 43200 44280 44800 45090 45920 46125 46760 47232 47250 47929 48000 48096 48384 49200 50100 50400 51660 52480 52605 53440 53760 54000 54776 55104 55350 56000 56112 57400 57600 58450 59040 60120 60480 61500 61623 61992 62625 62976 63000 63126 64000 64128 64575 65600 66800 67200 68470 68880 69120 70140 70848 71750 72000 72144 73472 73800 74816 75150 75600 77490 78720 80160 80640 82000 82164 82656 83500 84000 84168 85504 86100 86400 87675 88560 89600 90180 91840 92250 93520 94464 94500 95858 96000 96192 96768 98400 100200 100800 102705 103320 104960 105210 106880 107625 108000 109552 110208 110700 112000 112224 112725 114800 115200 116900 118080 120240 120960 123000 123246 123984 125250 126000 126252 128256 129150 131200 133600 134400 136940 137760 138375 140280 141696 143500 143787 144000 144288 146125 146944 147600 149632 150300 151200 154980 157440 157815 160320 161280 164000 164328 165312 167000 168000 168336 171175 172200 172800 175350 177120 180360 183680 184500 184869 187040 187875 188928 189000 191716 192000 192384 193725 196800 200400 201600 205410 206640 210420 213760 215250 216000 219104 220416 221400 224000 224448 225450 229600 233800 236160 239645 240480 241920 246000 246492 247968 250500 252000 252504 256512 258300 262400 263025 267200 268800 273880 275520 276750 280560 283392 287000 287574 288000 288576 292250 295200 299264 300600 302400 308115 309960 314880 315630 320640 322875 328000 328656 330624 334000 336000 336672 342350 344400 345600 350700 354240 360720 367360 369000 369738 374080 375750 378000 383432 384768 387450 393600 400800 403200 410820 413280 420840 427520 430500 431361 432000 438208 438375 440832 442800 448000 448896 450900 459200 467600 472320 479290 480960 483840 492000 492984 495936 501000 504000 505008 513525 516600 524800 526050 534400 547760 551040 553500 561120 563625 566784 574000 575148 576000 577152 584500 590400 598528 601200 604800 616230 619920 631260 641280 645750 656000 657312 661248 668000 672000 673344 684700 688800 701400 708480 718935 721440 734720 738000 739476 748160 751500 756000 766864 769536 774900 787200 789075 801600 806400 821640 826560 841680 855875 861000 862722 864000 876416 876750 885600 897792 901800 918400 924345 935200 944640 958580 961920 968625 984000 985968 991872 1002000 1008000 1010016 1027050 1033200 1052100 1068800 1095520 1102080 1107000 1122240 1127250 1148000 1150296 1154304 1169000 1180800 1198225 1202400 1209600 1232460 1239840 1262520 1282560 1291500 1294083 1312000 1314624 1315125 1322496 1336000 1344000 1346688 1369400 1377600 1402800 1416960 1437870 1442880 1476000 1478952 1496320 1503000 1512000 1533728 1540575 1549800 1574400 1578150 1603200 1643280 1653120 1683360 1711750 1722000 1725444 1728000 1752832 1753500 1771200 1795584 1803600 1836800 1848690 1870400 1917160 1923840 1937250 1968000 1971936 1983744 2004000 2016000 2020032 2054100 2066400 2104200 2137600 2156805 2191040 2204160 2214000 2244480 2254500 2296000 2300592 2308608 2338000 2361600 2396450 2404800 2419200 2464920 2479680 2525040 2567625 2583000 2588166 2624000 2629248 2630250 2672000 2693376 2738800 2755200 2805600 2833920 2875740 2885760 2952000 2957904 2992640 3006000 3024000 3067456 3081150 3099600 3156300 3206400 3286560 3306240 3366720 3423500 3444000 3450888 3505664 3507000 3542400 3594675 3607200 3673600 3697380 3740800 3834320 3847680 3874500 3936000 3943872 3945375 3967488 4008000 4032000 4040064 4108200 4132800 4208400 4313610 4382080 4428000 4488960 4509000 4592000 4601184 4621725 4676000 4723200 4792900 4809600 4929840 4959360 5050080 5135250 5166000 5176332 5258496 5260500 5344000 5386752 5477600 5510400 5611200 5751480 5771520 5904000 5915808 5991125 6012000 6048000 6134912 6162300 6199200 6312600 6412800 6470415 6573120 6612480 6733440 6847000 6888000 6901776 7014000 7084800 7189350 7214400 7394760 7481600 7668640 7702875 7749000 7872000 7887744 7890750 8016000 8080128 8216400 8265600 8416800 8627220 8764160 8856000 8977920 9018000 9184000 9202368 9243450 9352000 9585800 9619200 9859680 9918720 10100160 10270500 10332000 10352664 10516992 10521000 10688000 10784025 10955200 11020800 11222400 11502960 11543040 11808000 11831616 11982250 12024000 12096000 12269824 12324600 12398400 12625200 12940830 13146240 13466880 13694000 13776000 13803552 14028000 14169600 14378700 14428800 14789520 14963200 15337280 15405750 15498000 15775488 15781500 16032000 16160256 16432800 16531200 16833600 17254440 17528320 17712000 17973375 18036000 18368000 18404736 18486900 18704000 19171600 19238400 19719360 19837440 20200320 20541000 20664000 20705328 21042000 21568050 21910400 22444800 23005920 23108625 23616000 23663232 23964500 24048000 24539648 24649200 24796800 25250400 25881660 26292480 26933760 27388000 27552000 27607104 28056000 28757400 28857600 29579040 30674560 30811500 30996000 31550976 31563000 32064000 32352075 32865600 33062400 33667200 34508880 35424000 35946750 36072000 36809472 36973800 37408000 38343200 39438720 40400640 41082000 41328000 41410656 42084000 43136100 43820800 44889600 46011840 46217250 47326464 47929000 48096000 49298400 49593600 50500800 51763320 52584960 53920125 54776000 55104000 55214208 56112000 57514800 57715200 59158080 61349120 61623000 61992000 63126000 64704150 65731200 67334400 69017760 70848000 71893500 72144000 73618944 73947600 74816000 76686400 78877440 80801280 82164000 82656000 82821312 84168000 86272200 87641600 92023680 92434500 94652928 95858000 96192000 98596800 99187200 101001600 103526640 107840250 109552000 110428416 112224000 115029600 118316160 122698240 123246000 123984000 126252000 129408300 131462400 134668800 138035520 143787000 144288000 147895200 153372800 157754880 161760375 164328000 165312000 165642624 168336000 172544400 184047360 184869000 191716000 197193600 202003200 207053280 215680500 219104000 220856832 224448000 230059200 236632320 246492000 247968000 252504000 258816600 262924800 276071040 287574000 288576000 295790400 306745600 323520750 328656000 331285248 336672000 345088800 368094720 369738000 383432000 394387200 404006400 414106560 431361000 438208000 460118400 473264640 492984000 495936000 505008000 517633200 552142080 575148000 591580800 613491200 647041500 657312000 662570496 673344000 690177600 739476000 766864000 788774400 828213120 862722000 920236800 985968000 1010016000 1035266400 1104284160 1150296000 1183161600 1294083000 1314624000 1380355200 1478952000 1533728000 1656426240 1725444000 1840473600 1971936000 2020032000 2070532800 2300592000 2366323200 2588166000 2760710400 2957904000 3067456000 3312852480 3450888000 3943872000 4141065600 4601184000 5176332000 5521420800 5915808000 6901776000 8282131200 9202368000 10352664000 11831616000 13803552000 16564262400 20705328000 27607104000 41410656000 82821312000
• Sum of all divisors σ(n): 360336936960
• Sum of proper divisors (its aliquot sum) s(n): 277515624960
• 82821312000 is an abundant number, because the sum of its proper divisors (277515624960) is greater than itself. Its abundance is 194694312960

Bases of 82821312000

• Binary: 1001101001000100010001110111000000000₂
• Hexadecimal: 0x134888EE00
• Base-36: 121PO5C0

Squares and roots of 82821312000

• 82821312000 squared (82821312000²) is 6859369721401344000000
• 82821312000 cubed (82821312000³) is 568101999819533788643328000000000
• The square root of 82821312000 is 287786.9211760673
• The cube root of 82821312000 is 4358.9381023595

Scales and comparisons

• 82,821,312,000 seconds is equal to 2,633 years, 24 weeks.
• To count from 1 to 82,821,312,000 would take you about five thousand, two hundred sixty-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 82821312000 cubic inches would be around 363.2 feet tall.

Recreational maths with 82821312000

• 82821312000 backwards is 00021312828
• 82821312000 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 82821312000's digits is 27
• More coming soon!