2478428480000
2,478,428,480,000 is an even composite number composed of four prime numbers multiplied together.
2478428480000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred fifty divisors.
Prime factorization of 2478428480000:
29 × 54 × 114 × 232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 23 × 23)See below for interesting mathematical facts about the number 2478428480000 from the Numbermatics database.
Names of 2478428480000
- Cardinal: 2478428480000 can be written as Two trillion, four hundred seventy-eight billion, four hundred twenty-eight million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 2.47842848 × 1012
Factors of 2478428480000
Divisors of 2478428480000
- Number of divisors d(n): 750
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 92 100 110 115 121 125 128 160 176 184 200 220 230 242 250 253 256 275 320 352 368 400 440 460 484 500 506 512 529 550 575 605 625 640 704 736 800 880 920 968 1000 1012 1058 1100 1150 1210 1250 1265 1280 1331 1375 1408 1472 1600 1760 1840 1936 2000 2024 2116 2200 2300 2420 2500 2530 2560 2645 2662 2750 2783 2816 2875 2944 3025 3200 3520 3680 3872 4000 4048 4232 4400 4600 4840 5000 5060 5290 5324 5500 5566 5632 5750 5819 5888 6050 6325 6400 6655 6875 7040 7360 7744 8000 8096 8464 8800 9200 9680 10000 10120 10580 10648 11000 11132 11500 11638 11776 12100 12650 12800 13225 13310 13750 13915 14080 14375 14641 14720 15125 15488 16000 16192 16928 17600 18400 19360 20000 20240 21160 21296 22000 22264 23000 23276 24200 25300 26450 26620 27500 27830 28160 28750 29095 29282 29440 30250 30613 30976 31625 32000 32384 33275 33856 35200 36800 38720 40000 40480 42320 42592 44000 44528 46000 46552 48400 50600 52900 53240 55000 55660 57500 58190 58564 58880 60500 61226 61952 63250 64000 64009 64768 66125 66550 67712 69575 70400 73205 73600 75625 77440 80000 80960 84640 85184 88000 89056 92000 93104 96800 101200 105800 106480 110000 111320 115000 116380 117128 121000 122452 126500 128018 129536 132250 133100 135424 139150 140800 145475 146410 147200 151250 153065 154880 158125 160000 161920 166375 169280 170368 176000 178112 184000 186208 193600 202400 211600 212960 220000 222640 230000 232760 234256 242000 244904 253000 256036 264500 266200 270848 278300 290950 292820 294400 302500 306130 309760 316250 320000 320045 323840 330625 332750 336743 338560 340736 347875 352000 356224 366025 368000 372416 387200 404800 423200 425920 440000 445280 460000 465520 468512 484000 489808 506000 512072 529000 532400 556600 581900 585640 605000 612260 632500 640090 647680 661250 665500 673486 677120 681472 695750 704000 704099 712448 727375 732050 736000 744832 765325 774400 809600 831875 846400 851840 880000 890560 920000 931040 937024 968000 979616 1012000 1024144 1058000 1064800 1113200 1163800 1171280 1210000 1224520 1265000 1280180 1322500 1331000 1346972 1354240 1391500 1408198 1424896 1454750 1464100 1472000 1489664 1530650 1548800 1600225 1619200 1663750 1683715 1692800 1703680 1739375 1760000 1781120 1830125 1840000 1862080 1874048 1936000 1959232 2024000 2048288 2116000 2129600 2226400 2327600 2342560 2420000 2449040 2530000 2560360 2645000 2662000 2693944 2783000 2816396 2909500 2928200 2979328 3061300 3200450 3238400 3327500 3367430 3385600 3407360 3478750 3520000 3520495 3562240 3636875 3660250 3680000 3724160 3748096 3826625 3872000 3918464 4048000 4096576 4232000 4259200 4452800 4655200 4685120 4840000 4898080 5060000 5120720 5290000 5324000 5387888 5566000 5632792 5819000 5856400 6122600 6400900 6655000 6734860 6771200 6957500 7040990 7124480 7273750 7320500 7360000 7448320 7496192 7653250 7744000 7745089 7836928 8001125 8096000 8193152 8418575 8464000 8518400 8905600 9150625 9310400 9370240 9680000 9796160 10120000 10241440 10580000 10648000 10775776 11132000 11265584 11638000 11712800 12245200 12801800 13310000 13469720 13915000 14081980 14547500 14641000 14896640 15306500 15490178 15673856 16002250 16192000 16386304 16837150 16928000 17036800 17602475 17811200 18301250 18620800 18740480 19133125 19360000 19592320 20240000 20482880 21160000 21296000 21551552 22264000 22531168 23276000 23425600 24490400 25603600 26620000 26939440 27830000 28163960 29095000 29282000 30613000 30980356 32004500 32772608 33674300 33856000 35204950 35622400 36602500 37241600 37480960 38266250 38720000 38725445 39184640 40005625 40480000 40965760 42092875 42320000 42592000 43103104 44528000 45062336 46552000 46851200 48980800 51207200 53240000 53878880 55660000 56327920 58190000 58564000 61226000 61960712 64009000 67348600 70409900 73205000 74483200 76532500 77450890 78369280 80011250 80960000 81931520 84185750 84640000 85184000 86206208 88012375 89056000 90124672 93104000 93702400 97961600 102414400 106480000 107757760 111320000 112655840 116380000 117128000 122452000 123921424 128018000 134697200 140819800 146410000 153065000 154901780 160022500 163863040 168371500 169280000 172412416 176024750 178112000 180249344 186208000 187404800 193627225 195923200 204828800 210464375 212960000 215515520 222640000 225311680 232760000 234256000 244904000 247842848 256036000 269394400 281639600 292820000 306130000 309803560 320045000 336743000 352049500 360498688 372416000 387254450 391846400 409657600 420928750 425920000 431031040 440061875 445280000 450623360 465520000 468512000 489808000 495685696 512072000 538788800 563279200 585640000 612260000 619607120 640090000 673486000 704099000 774508900 819315200 841857500 862062080 880123750 890560000 901246720 931040000 937024000 968136125 979616000 991371392 1024144000 1077577600 1126558400 1171280000 1224520000 1239214240 1280180000 1346972000 1408198000 1549017800 1683715000 1760247500 1802493440 1862080000 1936272250 1959232000 1982742784 2048288000 2155155200 2253116800 2342560000 2449040000 2478428480 2560360000 2693944000 2816396000 3098035600 3367430000 3520495000 3872544500 3965485568 4096576000 4310310400 4506233600 4685120000 4840680625 4898080000 4956856960 5120720000 5387888000 5632792000 6196071200 6734860000 7040990000 7745089000 9012467200 9681361250 9796160000 9913713920 10241440000 10775776000 11265584000 12392142400 13469720000 14081980000 15490178000 19362722500 19827427840 20482880000 21551552000 22531168000 24784284800 26939440000 28163960000 30980356000 38725445000 45062336000 49568569600 53878880000 56327920000 61960712000 77450890000 99137139200 107757760000 112655840000 123921424000 154901780000 225311680000 247842848000 309803560000 495685696000 619607120000 1239214240000 2478428480000
- Sum of all divisors σ(n): 7115616410595
- Sum of proper divisors (its aliquot sum) s(n): 4637187930595
- 2478428480000 is an abundant number, because the sum of its proper divisors (4637187930595) is greater than itself. Its abundance is 2158759450595
Bases of 2478428480000
- Binary: 1001000001000011011101100101100010000000002
- Hexadecimal: 0x2410DD96200
- Base-36: VMKOBQBK
Squares and roots of 2478428480000
- 2478428480000 squared (24784284800002) is 6142607730475110400000000
- 2478428480000 cubed (24784284800003) is 15224013940677677546504192000000000000
-
The
square root of 2478428480000 is 1574302.5376337295 -
The
cube root of 2478428480000 is 13532.9391900439
Scales and comparisons
How big is 2478428480000?- 2,478,428,480,000 seconds is equal to 78,806 years, 18 weeks, 4 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 2,478,428,480,000 would take you about one hundred ninety-seven thousand and fifteen 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 2478428480000 cubic inches would be around 1127.7 feet tall.
Recreational maths with 2478428480000
- 2478428480000 backwards is 0000848248742
- The number of decimal digits it has is: 13
- The sum of 2478428480000's digits is 47
- More coming soon!
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