85434048000
85,434,048,000 is an even composite number composed of five prime numbers multiplied together.
85434048000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 85434048000:
29 × 33 × 53 × 72 × 1009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 1009)See below for interesting mathematical facts about the number 85434048000 from the Numbermatics database.
Names of 85434048000
- Cardinal: 85434048000 can be written as Eighty-five billion, four hundred thirty-four million, forty-eight thousand.
Scientific notation
- Scientific notation: 8.5434048 × 1010
Factors of 85434048000
Divisors of 85434048000
- Number of divisors d(n): 960
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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 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 168 175 180 189 192 196 200 210 216 224 225 240 245 250 252 256 270 280 288 294 300 315 320 336 350 360 375 378 384 392 400 420 432 441 448 450 480 490 500 504 512 525 540 560 576 588 600 630 640 672 675 700 720 735 750 756 768 784 800 840 864 875 882 896 900 945 960 980 1000 1008 1009 1050 1080 1120 1125 1152 1176 1200 1225 1260 1280 1323 1344 1350 1400 1440 1470 1500 1512 1536 1568 1575 1600 1680 1728 1750 1764 1792 1800 1890 1920 1960 2000 2016 2018 2100 2160 2205 2240 2250 2304 2352 2400 2450 2520 2560 2625 2646 2688 2700 2800 2880 2940 3000 3024 3027 3136 3150 3200 3360 3375 3456 3500 3528 3584 3600 3675 3780 3840 3920 4000 4032 4036 4200 4320 4410 4480 4500 4608 4704 4725 4800 4900 5040 5045 5250 5292 5376 5400 5600 5760 5880 6000 6048 6054 6125 6272 6300 6400 6615 6720 6750 6912 7000 7056 7063 7200 7350 7560 7680 7840 7875 8000 8064 8072 8400 8640 8820 8960 9000 9081 9408 9450 9600 9800 10080 10090 10500 10584 10752 10800 11025 11200 11520 11760 12000 12096 12108 12250 12544 12600 12800 13230 13440 13500 13824 14000 14112 14126 14400 14700 15120 15135 15680 15750 16000 16128 16144 16800 17280 17640 17920 18000 18162 18375 18816 18900 19200 19600 20160 20180 21000 21168 21189 21600 22050 22400 23040 23520 23625 24000 24192 24216 24500 25088 25200 25225 26460 26880 27000 27243 28000 28224 28252 28800 29400 30240 30270 31360 31500 32000 32256 32288 33075 33600 34560 35280 35315 36000 36324 36750 37632 37800 38400 39200 40320 40360 42000 42336 42378 43200 44100 44800 45405 47040 47250 48000 48384 48432 49000 49441 50400 50450 52920 53760 54000 54486 55125 56000 56448 56504 57600 58800 60480 60540 62720 63000 63567 64000 64576 66150 67200 69120 70560 70630 72000 72648 73500 75264 75600 75675 78400 80640 80720 84000 84672 84756 86400 88200 89600 90810 94080 94500 96000 96768 96864 98000 98882 100800 100900 105840 105945 108000 108972 110250 112000 112896 113008 115200 117600 120960 121080 125440 126000 126125 127134 129152 132300 134400 136215 141120 141260 144000 145296 147000 148323 151200 151350 156800 161280 161440 165375 168000 169344 169512 172800 176400 176575 181620 188160 189000 190701 192000 193728 196000 197764 201600 201800 211680 211890 216000 217944 220500 224000 225792 226016 227025 235200 241920 242160 247205 252000 252250 254268 258304 264600 268800 272430 282240 282520 288000 290592 294000 296646 302400 302700 313600 317835 322880 330750 336000 338688 339024 345600 352800 353150 363240 376320 378000 378375 381402 387456 392000 395528 403200 403600 423360 423780 432000 435888 441000 444969 448000 452032 454050 470400 483840 484320 494410 504000 504500 508536 516608 529200 529725 544860 564480 565040 576000 581184 588000 593292 604800 605400 627200 635670 645760 661500 672000 677376 678048 681075 705600 706300 726480 741615 756000 756750 762804 774912 784000 791056 806400 807200 846720 847560 864000 871776 882000 882875 889938 904064 908100 940800 953505 968640 988820 1008000 1009000 1017072 1058400 1059450 1089720 1128960 1130080 1135125 1162368 1176000 1186584 1209600 1210800 1236025 1271340 1291520 1323000 1334907 1344000 1356096 1362150 1411200 1412600 1452960 1483230 1512000 1513500 1525608 1549824 1568000 1582112 1589175 1614400 1693440 1695120 1728000 1743552 1764000 1765750 1779876 1808128 1816200 1881600 1907010 1937280 1977640 2016000 2018000 2034144 2116800 2118900 2179440 2224845 2260160 2270250 2324736 2352000 2373168 2419200 2421600 2472050 2542680 2583040 2646000 2648625 2669814 2712192 2724300 2822400 2825200 2905920 2966460 3024000 3027000 3051216 3136000 3164224 3178350 3228800 3386880 3390240 3405375 3487104 3528000 3531500 3559752 3616256 3632400 3708075 3814020 3874560 3955280 4032000 4036000 4068288 4233600 4237800 4358880 4449690 4520320 4540500 4649472 4704000 4746336 4767525 4843200 4944100 5085360 5292000 5297250 5339628 5424384 5448600 5644800 5650400 5811840 5932920 6048000 6054000 6102432 6180125 6328448 6356700 6457600 6674535 6780480 6810750 6974208 7056000 7063000 7119504 7264800 7416150 7628040 7749120 7910560 7945875 8072000 8136576 8467200 8475600 8717760 8899380 9040640 9081000 9408000 9492672 9535050 9686400 9888200 10170720 10584000 10594500 10679256 10848768 10897200 11124225 11300800 11623680 11865840 12096000 12108000 12204864 12360250 12656896 12713400 12915200 13349070 13560960 13621500 13948416 14112000 14126000 14239008 14529600 14832300 15256080 15821120 15891750 16144000 16273152 16934400 16951200 17435520 17798760 18081280 18162000 18540375 18985344 19070100 19372800 19776400 20341440 21168000 21189000 21358512 21794400 22248450 22601600 23247360 23731680 23837625 24216000 24409728 24720500 25313792 25426800 26698140 27121920 27243000 28224000 28252000 28478016 29059200 29664600 30512160 31642240 31783500 32288000 32546304 33372675 33902400 34871040 35597520 36324000 37080750 37970688 38140200 38745600 39552800 40682880 42336000 42378000 42717024 43588800 44496900 45203200 47463360 47675250 48432000 48819456 49441000 50853600 53396280 54243840 54486000 55621125 56504000 56956032 58118400 59329200 61024320 63284480 63567000 64576000 66745350 67804800 69742080 71195040 72648000 74161500 75941376 76280400 79105600 81365760 84672000 84756000 85434048 87177600 88993800 90406400 94926720 95350500 96864000 97638912 98882000 101707200 106792560 108972000 111242250 113008000 113912064 116236800 118658400 122048640 126568960 127134000 133490700 135609600 142390080 145296000 148323000 152560800 158211200 162731520 166863375 169512000 170868096 174355200 177987600 189853440 190701000 193728000 197764000 203414400 213585120 217944000 222484500 226016000 227824128 237316800 244097280 254268000 266981400 271219200 284780160 290592000 296646000 305121600 316422400 333726750 339024000 341736192 348710400 355975200 379706880 381402000 395528000 406828800 427170240 435888000 444969000 452032000 474633600 488194560 508536000 533962800 569560320 581184000 593292000 610243200 632844800 667453500 678048000 683472384 711950400 762804000 791056000 813657600 854340480 871776000 889938000 949267200 1017072000 1067925600 1139120640 1186584000 1220486400 1334907000 1356096000 1423900800 1525608000 1582112000 1708680960 1743552000 1779876000 1898534400 2034144000 2135851200 2373168000 2440972800 2669814000 2847801600 3051216000 3164224000 3417361920 3559752000 4068288000 4271702400 4746336000 5339628000 5695603200 6102432000 7119504000 8543404800 9492672000 10679256000 12204864000 14239008000 17086809600 21358512000 28478016000 42717024000 85434048000
- Sum of all divisors σ(n): 367499246400
- Sum of proper divisors (its aliquot sum) s(n): 282065198400
- 85434048000 is an abundant number, because the sum of its proper divisors (282065198400) is greater than itself. Its abundance is 196631150400
Bases of 85434048000
- Binary: 10011111001000100010000011110000000002
- Hexadecimal: 0x13E4441E00
- Base-36: 138X85C0
Squares and roots of 85434048000
- 85434048000 squared (854340480002) is 7298976557666304000000
- 85434048000 cubed (854340480003) is 623581113578537783918592000000000
-
The
square root of 85434048000 is 292291.0330475433 -
The
cube root of 85434048000 is 4404.3010285067
Scales and comparisons
How big is 85434048000?- 85,434,048,000 seconds is equal to 2,716 years, 28 weeks.
-
To count from 1 to 85,434,048,000 would take you about five thousand, four hundred thirty-three 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 85434048000 cubic inches would be around 367 feet tall.
Recreational maths with 85434048000
- 85434048000 backwards is 00084043458
- 85434048000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 85434048000's digits is 36
- More coming soon!
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