480142080000

Names of 480142080000

• Cardinal: 480142080000 can be written as Four hundred eighty billion, one hundred forty-two million, eighty thousand.

Scientific notation

• Scientific notation: 4.8014208 × 10¹¹

Factors of 480142080000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 442

Divisors of 480142080000

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 250 256 264 270 275 288 297 300 320 324 330 352 360 375 384 396 400 405 421 432 440 450 480 495 500 512 528 540 550 576 594 600 625 640 648 660 675 704 720 750 768 792 800 810 825 842 864 880 891 900 960 990 1000 1024 1056 1080 1100 1125 1152 1188 1200 1250 1263 1280 1296 1320 1350 1375 1408 1440 1485 1500 1536 1584 1600 1620 1650 1684 1728 1760 1782 1800 1875 1920 1980 2000 2025 2048 2105 2112 2160 2200 2250 2304 2376 2400 2475 2500 2526 2560 2592 2640 2700 2750 2816 2880 2970 3000 3072 3168 3200 3240 3300 3368 3375 3456 3520 3564 3600 3750 3789 3840 3960 4000 4050 4125 4210 4224 4320 4400 4455 4500 4608 4631 4752 4800 4950 5000 5052 5120 5184 5280 5400 5500 5625 5632 5760 5940 6000 6144 6315 6336 6400 6480 6600 6736 6750 6875 6912 7040 7128 7200 7425 7500 7578 7680 7920 8000 8100 8250 8420 8448 8640 8800 8910 9000 9216 9262 9504 9600 9900 10000 10104 10125 10240 10368 10525 10560 10800 11000 11250 11264 11367 11520 11880 12000 12375 12630 12672 12800 12960 13200 13472 13500 13750 13824 13893 14080 14256 14400 14850 15000 15156 15360 15840 16000 16200 16500 16840 16875 16896 17280 17600 17820 18000 18432 18524 18945 19008 19200 19800 20000 20208 20250 20625 20736 21050 21120 21600 22000 22275 22500 22528 22734 23040 23155 23760 24000 24750 25260 25344 25600 25920 26400 26944 27000 27500 27648 27786 28160 28512 28800 29700 30000 30312 30720 31575 31680 32000 32400 33000 33680 33750 33792 34101 34560 35200 35640 36000 37048 37125 37890 38016 38400 39600 40000 40416 40500 41250 41472 41679 42100 42240 43200 44000 44550 45000 45468 46080 46310 47520 48000 49500 50520 50625 50688 51200 51840 52625 52800 53888 54000 55000 55296 55572 56320 56835 57024 57600 59400 60000 60624 61875 63150 63360 64000 64800 66000 67360 67500 67584 68202 69120 69465 70400 71280 72000 74096 74250 75780 76032 76800 79200 80000 80832 81000 82500 82944 83358 84200 84480 86400 88000 89100 90000 90936 92160 92620 94725 95040 96000 99000 101040 101250 101376 103680 105250 105600 107776 108000 110000 111144 111375 112640 113670 114048 115200 115775 118800 120000 121248 123750 125037 126300 126720 128000 129600 132000 134720 135000 136404 138240 138930 140800 142560 144000 148192 148500 151560 152064 153600 157875 158400 160000 161664 162000 165000 165888 166716 168400 168960 170505 172800 176000 178200 180000 181872 185240 185625 189450 190080 192000 198000 202080 202500 202752 207360 208395 210500 211200 215552 216000 220000 222288 222750 227340 228096 230400 231550 237600 240000 242496 247500 250074 252600 253440 256000 259200 263125 264000 269440 270000 272808 276480 277860 281600 284175 285120 288000 296384 297000 303120 304128 315750 316800 320000 323328 324000 330000 333432 336800 337920 341010 345600 347325 352000 356400 360000 363744 370480 371250 375111 378900 380160 384000 396000 404160 405000 414720 416790 421000 422400 431104 432000 440000 444576 445500 454680 456192 460800 463100 473625 475200 480000 484992 495000 500148 505200 506880 518400 526250 528000 538880 540000 545616 555720 556875 563200 568350 570240 576000 578875 592768 594000 606240 608256 625185 631500 633600 640000 646656 648000 660000 666864 673600 682020 691200 694650 704000 712800 720000 727488 740960 742500 750222 757800 760320 768000 789375 792000 808320 810000 829440 833580 842000 844800 852525 862208 864000 880000 889152 891000 909360 912384 926200 947250 950400 960000 969984 990000 1000296 1010400 1013760 1036800 1041975 1052500 1056000 1077760 1080000 1091232 1111440 1113750 1136700 1140480 1152000 1157750 1185536 1188000 1212480 1250370 1263000 1267200 1280000 1293312 1296000 1320000 1333728 1347200 1364040 1382400 1389300 1408000 1420875 1425600 1440000 1454976 1481920 1485000 1500444 1515600 1520640 1578750 1584000 1616640 1620000 1667160 1684000 1689600 1705050 1728000 1736625 1760000 1778304 1782000 1818720 1824768 1852400 1875555 1894500 1900800 1920000 1939968 1980000 2000592 2020800 2073600 2083950 2105000 2112000 2155520 2160000 2182464 2222880 2227500 2273400 2280960 2304000 2315500 2368125 2371072 2376000 2424960 2500740 2526000 2534400 2586624 2592000 2640000 2667456 2694400 2728080 2778600 2816000 2841750 2851200 2880000 2894375 2909952 2963840 2970000 3000888 3031200 3041280 3125925 3157500 3168000 3233280 3240000 3334320 3368000 3410100 3456000 3473250 3520000 3556608 3564000 3637440 3704800 3751110 3789000 3801600 3840000 3879936 3960000 4001184 4041600 4147200 4167900 4210000 4224000 4262625 4311040 4320000 4364928 4445760 4455000 4546800 4561920 4631000 4736250 4742144 4752000 4849920 5001480 5052000 5068800 5184000 5209875 5280000 5334912 5388800 5456160 5557200 5683500 5702400 5760000 5788750 5819904 5927680 5940000 6001776 6062400 6251850 6315000 6336000 6466560 6480000 6668640 6736000 6820200 6912000 6946500 7040000 7104375 7113216 7128000 7274880 7409600 7502220 7578000 7603200 7759872 7920000 8002368 8083200 8335800 8420000 8448000 8525250 8640000 8683125 8729856 8891520 8910000 9093600 9123840 9262000 9377775 9472500 9484288 9504000 9699840 10002960 10104000 10368000 10419750 10560000 10669824 10777600 10912320 11114400 11367000 11404800 11520000 11577500 11639808 11855360 11880000 12003552 12124800 12503700 12630000 12672000 12933120 12960000 13337280 13472000 13640400 13893000 14080000 14208750 14226432 14256000 14549760 14819200 15004440 15156000 15206400 15629625 15840000 16004736 16166400 16671600 16840000 17050500 17280000 17366250 17459712 17783040 17820000 18187200 18524000 18755550 18945000 19008000 19399680 20005920 20208000 20736000 20839500 21120000 21313125 21339648 21555200 21824640 22228800 22734000 22809600 23155000 23279616 23710720 23760000 24007104 24249600 25007400 25260000 25344000 25920000 26049375 26674560 26944000 27280800 27786000 28417500 28452864 28512000 29099520 29638400 30008880 30312000 31259250 31680000 32009472 32332800 33343200 33680000 34101000 34560000 34732500 34919424 35566080 35640000 36374400 37048000 37511100 37890000 38016000 38799360 40011840 40416000 41679000 42240000 42626250 42679296 43649280 44457600 45468000 45619200 46310000 46888875 47421440 47520000 48014208 48499200 50014800 50520000 51840000 52098750 53349120 53888000 54561600 55572000 56835000 57024000 58199040 59276800 60017760 60624000 62518500 63360000 64018944 64665600 66686400 67360000 68202000 69465000 69838848 71132160 71280000 72748800 74096000 75022200 75780000 76032000 78148125 80023680 80832000 83358000 85252500 85358592 87298560 88915200 90936000 92620000 93777750 95040000 96028416 96998400 100029600 101040000 103680000 104197500 106698240 107776000 109123200 111144000 113670000 114048000 116398080 118553600 120035520 121248000 125037000 126720000 128037888 133372800 134720000 136404000 138930000 142264320 142560000 145497600 148192000 150044400 151560000 156296250 160047360 161664000 166716000 170505000 174597120 177830400 181872000 185240000 187555500 190080000 192056832 193996800 200059200 202080000 208395000 213396480 218246400 222288000 227340000 228096000 234444375 237107200 240071040 242496000 250074000 256075776 266745600 269440000 272808000 277860000 285120000 290995200 296384000 300088800 303120000 312592500 320094720 323328000 333432000 341010000 349194240 355660800 363744000 370480000 375111000 380160000 384113664 400118400 404160000 416790000 426792960 436492800 444576000 454680000 468888750 480142080 484992000 500148000 533491200 538880000 545616000 555720000 570240000 581990400 592768000 600177600 606240000 625185000 640189440 666864000 682020000 711321600 727488000 740960000 750222000 768227328 800236800 808320000 833580000 872985600 889152000 909360000 937777500 960284160 969984000 1000296000 1066982400 1091232000 1111440000 1140480000 1185536000 1200355200 1212480000 1250370000 1280378880 1333728000 1364040000 1454976000 1481920000 1500444000 1600473600 1616640000 1667160000 1745971200 1778304000 1818720000 1875555000 1920568320 2000592000 2133964800 2182464000 2222880000 2400710400 2424960000 2500740000 2667456000 2728080000 2909952000 2963840000 3000888000 3200947200 3334320000 3556608000 3637440000 3751110000 3841136640 4001184000 4364928000 4445760000 4801420800 4849920000 5001480000 5334912000 5456160000 5927680000 6001776000 6401894400 6668640000 7274880000 7502220000 8002368000 8729856000 8891520000 9602841600 10002960000 10669824000 10912320000 12003552000 13337280000 14549760000 15004440000 16004736000 17783040000 19205683200 20005920000 21824640000 24007104000 26674560000 30008880000 32009472000 40011840000 43649280000 48014208000 53349120000 60017760000 80023680000 96028416000 120035520000 160047360000 240071040000 480142080000
• Sum of all divisors σ(n): 1959674797080
• Sum of proper divisors (its aliquot sum) s(n): 1479532717080
• 480142080000 is an abundant number, because the sum of its proper divisors (1479532717080) is greater than itself. Its abundance is 999390637080

Bases of 480142080000

• Binary: 110111111001010101100101011100000000000₂
• Hexadecimal: 0x6FCAB2B800
• Base-36: 64KO7400

Squares and roots of 480142080000

• 480142080000 squared (480142080000²) is 230536416986726400000000
• 480142080000 cubed (480142080000³) is 110690234767754146086912000000000000
• The square root of 480142080000 is 692922.8528487135
• The cube root of 480142080000 is 7830.5077400081

Scales and comparisons

• 480,142,080,000 seconds is equal to 15,267 years, 1 week, 5 days.
• To count from 1 to 480,142,080,000 would take you about thirty thousand, five hundred thirty-four 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 480142080000 cubic inches would be around 652.5 feet tall.

Recreational maths with 480142080000

• 480142080000 backwards is 000080241084
• 480142080000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 480142080000's digits is 27
• More coming soon!