48001728000
48,001,728,000 is an even composite number composed of six prime numbers multiplied together.
48001728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 48001728000:
29 × 3 × 53 × 29 × 37 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 29 × 37 × 233)See below for interesting mathematical facts about the number 48001728000 from the Numbermatics database.
Names of 48001728000
- Cardinal: 48001728000 can be written as Forty-eight billion, one million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.8001728 × 1010
Factors of 48001728000
Divisors of 48001728000
- Number of divisors d(n): 640
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 37 40 48 50 58 60 64 74 75 80 87 96 100 111 116 120 125 128 145 148 150 160 174 185 192 200 222 232 233 240 250 256 290 296 300 320 348 370 375 384 400 435 444 464 466 480 500 512 555 580 592 600 640 696 699 725 740 750 768 800 870 888 925 928 932 960 1000 1073 1110 1160 1165 1184 1200 1280 1392 1398 1450 1480 1500 1536 1600 1740 1776 1850 1856 1864 1920 2000 2146 2175 2220 2320 2330 2368 2400 2560 2775 2784 2796 2900 2960 3000 3200 3219 3480 3495 3552 3625 3700 3712 3728 3840 4000 4292 4350 4440 4625 4640 4660 4736 4800 5365 5550 5568 5592 5800 5825 5920 6000 6400 6438 6757 6960 6990 7104 7250 7400 7424 7456 7680 8000 8584 8621 8700 8880 9250 9280 9320 9472 9600 10730 10875 11100 11136 11184 11600 11650 11840 12000 12800 12876 13514 13875 13920 13980 14208 14500 14800 14848 14912 16000 16095 17168 17242 17400 17475 17760 18500 18560 18640 18944 19200 20271 21460 21750 22200 22272 22368 23200 23300 23680 24000 25752 25863 26825 27028 27750 27840 27960 28416 29000 29125 29600 29824 32000 32190 33785 34336 34484 34800 34950 35520 37000 37120 37280 38400 40542 42920 43105 43500 44400 44544 44736 46400 46600 47360 48000 51504 51726 53650 54056 55500 55680 55920 56832 58000 58250 59200 59648 64000 64380 67570 68672 68968 69600 69900 71040 74000 74240 74560 80475 81084 85840 86210 87000 87375 88800 89472 92800 93200 94720 96000 101355 103008 103452 107300 108112 111000 111360 111840 116000 116500 118400 119296 128760 129315 134125 135140 137344 137936 139200 139800 142080 148000 149120 160950 162168 168925 171680 172420 174000 174750 177600 178944 185600 186400 192000 202710 206016 206904 214600 215525 216224 222000 222720 223680 232000 233000 236800 250009 257520 258630 268250 270280 274688 275872 278400 279600 284160 296000 298240 321900 324336 337850 343360 344840 348000 349500 355200 357888 371200 372800 402375 405420 412032 413808 429200 431050 432448 444000 447360 464000 466000 473600 500018 506775 515040 517260 536500 540560 549376 551744 556800 559200 592000 596480 643800 646575 648672 675700 686720 689680 696000 699000 710400 745600 750027 804750 810840 824064 827616 844625 858400 862100 864896 888000 894720 928000 932000 1000036 1013550 1030080 1034520 1073000 1077625 1081120 1103488 1113600 1118400 1184000 1250045 1287600 1293150 1297344 1351400 1373440 1379360 1392000 1398000 1420800 1491200 1500054 1609500 1621680 1648128 1655232 1689250 1716800 1724200 1729792 1776000 1789440 1856000 1864000 2000072 2027100 2060160 2069040 2146000 2155250 2162240 2206976 2236800 2368000 2500090 2533875 2575200 2586300 2594688 2702800 2746880 2758720 2784000 2796000 2982400 3000108 3219000 3232875 3243360 3310464 3378500 3433600 3448400 3459584 3552000 3728000 3750135 4000144 4054200 4120320 4138080 4292000 4310500 4324480 4413952 4473600 5000180 5067750 5150400 5172600 5189376 5405600 5517440 5568000 5592000 6000216 6250225 6438000 6465750 6486720 6620928 6757000 6867200 6896800 7104000 7456000 7500270 8000288 8108400 8240640 8276160 8584000 8621000 8648960 8947200 10000360 10135500 10300800 10345200 10378752 10811200 11034880 11184000 12000432 12500450 12876000 12931500 12973440 13241856 13514000 13734400 13793600 14912000 15000540 16000576 16216800 16552320 17168000 17242000 17297920 18750675 20000720 20271000 20601600 20690400 21622400 22069760 22368000 24000864 25000900 25752000 25863000 25946880 27028000 27587200 30001080 31251125 32001152 32433600 33104640 34336000 34484000 37501350 40001440 40542000 41203200 41380800 43244800 44736000 48001728 50001800 51504000 51726000 51893760 54056000 55174400 60002160 62502250 64002304 64867200 66209280 68672000 68968000 75002700 80002880 81084000 82761600 86489600 93753375 96003456 100003600 103008000 103452000 108112000 110348800 120004320 125004500 128004608 129734400 137936000 150005400 160005760 162168000 165523200 187506750 192006912 200007200 206016000 206904000 216224000 240008640 250009000 259468800 275872000 300010800 320011520 324336000 331046400 375013500 384013824 400014400 413808000 432448000 480017280 500018000 551744000 600021600 640023040 648672000 750027000 800028800 827616000 960034560 1000036000 1200043200 1297344000 1500054000 1600057600 1655232000 1920069120 2000072000 2400086400 3000108000 3200115200 4000144000 4800172800 6000216000 8000288000 9600345600 12000432000 16000576000 24000864000 48001728000
- Sum of all divisors σ(n): 170286779520
- Sum of proper divisors (its aliquot sum) s(n): 122285051520
- 48001728000 is an abundant number, because the sum of its proper divisors (122285051520) is greater than itself. Its abundance is 74283323520
Bases of 48001728000
- Binary: 1011001011010010000000111110000000002
- Hexadecimal: 0xB2D203E00
- Base-36: M1UZMDC
Squares and roots of 48001728000
- 48001728000 squared (480017280002) is 2304165890985984000000
- 48001728000 cubed (480017280003) is 110603944365986855780352000000000
-
The
square root of 48001728000 is 219092.9665689887 -
The
cube root of 48001728000 is 3634.2847960353
Scales and comparisons
How big is 48001728000?- 48,001,728,000 seconds is equal to 1,526 years, 15 weeks, 6 days, 13 hours, 20 minutes.
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To count from 1 to 48,001,728,000 would take you about three thousand and fifty-two 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 48001728000 cubic inches would be around 302.9 feet tall.
Recreational maths with 48001728000
- 48001728000 backwards is 00082710084
- 48001728000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 48001728000's digits is 30
- More coming soon!
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