480825828000

Names of 480825828000

• Cardinal: 480825828000 can be written as Four hundred eighty billion, eight hundred twenty-five million, eight hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 4.80825828 × 10¹¹

Factors of 480825828000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2173

Divisors of 480825828000

• Number of divisors d(n): 1152
• 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 42 43 45 48 49 50 54 56 60 63 70 72 75 80 84 86 90 96 98 100 105 108 112 120 125 126 129 135 140 144 147 150 160 168 172 175 180 189 196 200 210 215 216 224 225 240 245 250 252 258 270 280 288 294 300 301 315 336 344 350 360 375 378 387 392 400 420 430 432 441 450 480 490 500 504 516 525 540 560 588 600 602 630 645 672 675 688 700 720 735 750 756 774 784 800 840 860 864 875 882 900 903 945 980 1000 1008 1032 1050 1075 1080 1120 1125 1161 1176 1200 1204 1225 1260 1290 1323 1350 1376 1400 1440 1470 1500 1505 1512 1548 1568 1575 1680 1720 1750 1764 1800 1806 1890 1935 1960 2000 2016 2064 2100 2107 2113 2150 2160 2205 2250 2322 2352 2400 2408 2450 2520 2580 2625 2646 2700 2709 2800 2940 3000 3010 3024 3096 3150 3225 3360 3375 3440 3500 3528 3600 3612 3675 3780 3870 3920 4000 4128 4200 4214 4226 4300 4320 4410 4500 4515 4644 4704 4725 4816 4900 5040 5160 5250 5292 5375 5400 5418 5600 5805 5880 6000 6020 6048 6125 6192 6300 6321 6339 6450 6615 6750 6880 7000 7056 7200 7224 7350 7525 7560 7740 7840 7875 8127 8400 8428 8452 8600 8820 9000 9030 9288 9450 9632 9675 9800 10080 10320 10500 10535 10565 10584 10750 10800 10836 11025 11610 11760 12000 12040 12250 12384 12600 12642 12678 12900 13230 13500 13545 14000 14112 14448 14700 14791 15050 15120 15480 15750 16125 16254 16800 16856 16904 17200 17640 18000 18060 18375 18576 18900 18963 19017 19350 19600 20640 21000 21070 21130 21168 21500 21600 21672 22050 22575 23220 23520 23625 24080 24500 25200 25284 25356 25800 26460 27000 27090 28000 28896 29025 29400 29582 30100 30240 30960 31500 31605 31695 32250 32508 33075 33712 33808 34400 35280 36000 36120 36750 37152 37625 37800 37926 38034 38700 39200 40635 42000 42140 42260 42336 43000 43344 44100 44373 45150 46440 47250 48160 48375 49000 50400 50568 50712 51600 52675 52825 52920 54000 54180 55125 56889 57051 58050 58800 59164 60200 61920 63000 63210 63390 64500 65016 66150 67424 67616 67725 70560 72240 73500 73955 75250 75600 75852 76068 77400 81270 84000 84280 84520 86000 86688 88200 88746 90300 90859 92880 94500 94815 95085 96750 98000 101136 101424 103200 103537 105350 105650 105840 108000 108360 110250 112875 113778 114102 116100 117600 118328 120400 126000 126420 126780 129000 130032 132300 133119 135450 144480 145125 147000 147910 150500 151200 151704 152136 154800 158025 158475 162540 165375 168560 169040 172000 176400 177492 180600 181718 185760 189000 189630 190170 193500 196000 202272 202848 203175 207074 210700 211300 211680 216720 220500 221865 225750 227556 228204 232200 236656 240800 252000 252840 253560 258000 260064 263375 264125 264600 266238 270900 272577 284445 285255 290250 294000 295820 301000 303408 304272 309600 310611 316050 316950 325080 330750 337120 338080 338625 352800 354984 361200 363436 369775 378000 379260 380340 387000 399357 406350 414148 421400 422600 433440 441000 443730 451500 454295 455112 456408 464400 473312 474075 475425 505680 507120 516000 517685 526750 528250 529200 532476 541800 545154 568890 570510 580500 588000 591640 602000 606816 608544 621222 632100 633900 636013 650160 661500 665595 677250 709968 722400 726872 739550 756000 758520 760680 774000 790125 792375 798714 812700 817731 828296 842800 845200 882000 887460 903000 908590 910224 912816 928800 931833 948150 950850 1011360 1014240 1015875 1035370 1053500 1056500 1058400 1064952 1083600 1090308 1109325 1137780 1141020 1161000 1183280 1204000 1242444 1264200 1267800 1272026 1300320 1323000 1331190 1354500 1362885 1419936 1422225 1426275 1453744 1479100 1517040 1521360 1548000 1553055 1580250 1584750 1597428 1625400 1635462 1656592 1685600 1690400 1764000 1774920 1806000 1817180 1820448 1825632 1848875 1863666 1896300 1901700 1908039 1996785 2031750 2070740 2107000 2113000 2129904 2167200 2180616 2218650 2271475 2275560 2282040 2322000 2366560 2370375 2377125 2453193 2484888 2528400 2535600 2544052 2588425 2646000 2662380 2709000 2725770 2795499 2844450 2852550 2907488 2958200 3034080 3042720 3106110 3160500 3169500 3180065 3194856 3250800 3270924 3313184 3327975 3549840 3612000 3634360 3697750 3727332 3792600 3803400 3816078 3993570 4063500 4088655 4141480 4214000 4226000 4259808 4361232 4437300 4452091 4542950 4551120 4564080 4644000 4659165 4740750 4754250 4906386 4969776 5056800 5071200 5088104 5176850 5292000 5324760 5418000 5451540 5546625 5590998 5688900 5705100 5724117 5916400 6212220 6321000 6339000 6360130 6389712 6501600 6541848 6655950 6814425 7099680 7111125 7131375 7268720 7395500 7454664 7585200 7606800 7632156 7765275 7987140 8127000 8177310 8282960 8428000 8452000 8722464 8874600 8904182 9085900 9102240 9128160 9318330 9481500 9508500 9540195 9812772 9939552 9983925 10176208 10353700 10649520 10836000 10903080 11093250 11181996 11357375 11377800 11410200 11448234 11832800 12265965 12424440 12642000 12678000 12720260 12779424 12942125 13083696 13311900 13356273 13628850 13977495 14222250 14262750 14537440 14791000 14909328 15170400 15213600 15264312 15530550 15900325 15974280 16254000 16354620 16565920 16639875 17172351 17749200 17808364 18171800 18636660 18963000 19017000 19080390 19625544 19967850 20352416 20443275 20707400 21299040 21806160 22186500 22260455 22363992 22714750 22755600 22820400 22896468 23295825 24531930 24848880 25284000 25356000 25440520 25884250 26167392 26623800 26712546 27257700 27954990 28444500 28525500 28620585 29582000 29818656 30528624 31061100 31800650 31948560 32508000 32709240 33279750 34072125 34344702 35498400 35616728 36343600 37273320 37926000 38034000 38160780 38826375 39251088 39935700 40068819 40886550 41414800 43612320 44373000 44520910 44727984 45429500 45511200 45640800 45792936 46591650 47700975 49063860 49697760 49919625 50881040 51768500 53247600 53425092 54515400 55909980 56889000 57051000 57241170 59164000 61057248 61329825 62122200 63601300 63897120 65418480 66559500 66781365 68144250 68689404 69887475 71233456 72687200 74546640 75852000 76068000 76321560 77652750 78502176 79501625 79871400 80137638 81773100 82829600 85861755 88746000 89041820 89455968 90859000 91585872 93183300 95401950 98127720 99839250 101762080 102216375 103537000 106495200 106850184 109030800 111302275 111819960 113778000 114102000 114482340 116479125 120206457 122659650 124244400 127202600 130836960 133119000 133562730 136288500 137378808 139774950 142466912 143102925 149093280 152643120 155305500 159003250 159742800 160275276 163546200 171723510 177492000 178083640 181718000 183171744 186366600 190803900 196255440 199678500 200344095 204432750 207074000 213700368 218061600 222604550 223639920 227556000 228204000 228964680 232958250 238504875 240412914 245319300 248488800 254405200 266238000 267125460 272577000 274757616 279549900 286205850 305286240 306649125 310611000 318006500 319485600 320550552 327092400 333906825 343447020 349437375 356167280 363436000 372733200 381607800 392510880 399357000 400688190 408865500 414148000 427400736 429308775 445209100 447279840 457929360 465916500 477009750 480825828 490638600 508810400 532476000 534250920 545154000 549515232 556511375 559099800 572411700 601032285 613298250 621222000 636013000 641101104 654184800 667813650 686894040 698874750 712334560 715514625 745466400 763215600 798714000 801376380 817731000 858617550 890418200 915858720 931833000 954019500 961651656 981277200 1001720475 1068501840 1090308000 1113022750 1118199600 1144823400 1202064570 1226596500 1242444000 1272026000 1282202208 1335627300 1373788080 1397749500 1431029250 1526431200 1597428000 1602752760 1635462000 1669534125 1717235100 1780836400 1863666000 1908039000 1923303312 1962554400 2003440950 2137003680 2146543875 2226045500 2236399200 2289646800 2404129140 2453193000 2544052000 2671254600 2747576160 2795499000 2862058500 3005161425 3205505520 3270924000 3339068250 3434470200 3561672800 3727332000 3816078000 3846606624 4006881900 4293087750 4452091000 4579293600 4808258280 4906386000 5008602375 5342509200 5590998000 5724117000 6010322850 6411011040 6678136500 6868940400 7632156000 8013763800 8586175500 8904182000 9616516560 9812772000 10017204750 10685018400 11181996000 11448234000 12020645700 13356273000 13737880800 15025807125 16027527600 17172351000 17808364000 19233033120 20034409500 22896468000 24041291400 26712546000 30051614250 32055055200 34344702000 40068819000 48082582800 53425092000 60103228500 68689404000 80137638000 96165165600 120206457000 160275276000 240412914000 480825828000
• Sum of all divisors σ(n): 2084287645440
• Sum of proper divisors (its aliquot sum) s(n): 1603461817440
• 480825828000 is an abundant number, because the sum of its proper divisors (1603461817440) is greater than itself. Its abundance is 1122635989440

Bases of 480825828000

• Binary: 110111111110011011100111110001010100000₂
• Hexadecimal: 0x6FF373E2A0
• Base-36: 64VZA7C0

Squares and roots of 480825828000

• 480825828000 squared (480825828000²) is 231193476871885584000000
• 480825828000 cubed (480825828000³) is 111163794945123235848063552000000000
• The square root of 480825828000 is 693416.0569239799
• The cube root of 480825828000 is 7834.2229975901

Scales and comparisons

• 480,825,828,000 seconds is equal to 15,288 years, 40 weeks, 1 day, 18 hours.
• To count from 1 to 480,825,828,000 would take you about thirty thousand, five hundred seventy-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 480825828000 cubic inches would be around 652.9 feet tall.

Recreational maths with 480825828000

• 480825828000 backwards is 000828528084
• 480825828000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 480825828000's digits is 45
• More coming soon!