4048014048000
4,048,014,048,000 is an even composite number composed of five prime numbers multiplied together.
4048014048000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 4048014048000:
28 × 3 × 53 × 13 × 18012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 1801 × 1801)See below for interesting mathematical facts about the number 4048014048000 from the Numbermatics database.
Names of 4048014048000
- Cardinal: 4048014048000 can be written as Four trillion, forty-eight billion, fourteen million, forty-eight thousand.
Scientific notation
- Scientific notation: 4.048014048 × 1012
Factors of 4048014048000
Divisors of 4048014048000
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 192 195 200 208 240 250 256 260 300 312 320 325 375 384 390 400 416 480 500 520 600 624 640 650 750 768 780 800 832 960 975 1000 1040 1200 1248 1280 1300 1500 1560 1600 1625 1664 1801 1920 1950 2000 2080 2400 2496 2600 3000 3120 3200 3250 3328 3602 3840 3900 4000 4160 4800 4875 4992 5200 5403 6000 6240 6400 6500 7204 7800 8000 8320 9005 9600 9750 9984 10400 10806 12000 12480 13000 14408 15600 16000 16640 18010 19200 19500 20800 21612 23413 24000 24960 26000 27015 28816 31200 32000 36020 39000 41600 43224 45025 46826 48000 49920 52000 54030 57632 62400 70239 72040 78000 83200 86448 90050 93652 96000 104000 108060 115264 117065 124800 135075 140478 144080 156000 172896 180100 187304 208000 216120 225125 230528 234130 249600 270150 280956 288160 312000 345792 351195 360200 374608 416000 432240 450250 461056 468260 540300 561912 576320 585325 624000 675375 691584 702390 720400 749216 864480 900500 936520 1080600 1123824 1152640 1170650 1248000 1350750 1383168 1404780 1440800 1498432 1728960 1755975 1801000 1873040 2161200 2247648 2305280 2341300 2701500 2809560 2881600 2926625 2996864 3243601 3457920 3511950 3602000 3746080 4322400 4495296 4682600 5403000 5619120 5763200 5853250 5993728 6487202 6915840 7023900 7204000 7492160 8644800 8779875 8990592 9365200 9730803 10806000 11238240 11526400 11706500 12974404 14047800 14408000 14984320 16218005 17289600 17559750 17981184 18730400 19461606 21612000 22476480 23413000 25948808 28095600 28816000 29968640 32436010 34579200 35119500 37460800 38923212 42166813 43224000 44952960 46826000 48654015 51897616 56191200 57632000 64872020 70239000 74921600 77846424 81090025 84333626 86448000 89905920 93652000 97308030 103795232 112382400 126500439 129744040 140478000 149843200 155692848 162180050 168667252 172896000 187304000 194616060 207590464 210834065 224764800 243270075 253000878 259488080 280956000 311385696 324360100 337334504 374608000 389232120 405450125 415180928 421668130 449529600 486540150 506001756 518976160 561912000 622771392 632502195 648720200 674669008 749216000 778464240 810900250 830361856 843336260 973080300 1012003512 1037952320 1054170325 1123824000 1216350375 1245542784 1265004390 1297440400 1349338016 1556928480 1621800500 1686672520 1946160600 2024007024 2075904640 2108340650 2247648000 2432700750 2491085568 2530008780 2594880800 2698676032 3113856960 3162510975 3243601000 3373345040 3892321200 4048014048 4151809280 4216681300 4865401500 5060017560 5189761600 5270851625 5397352064 6227713920 6325021950 6487202000 6746690080 7784642400 8096028096 8433362600 9730803000 10120035120 10379523200 10541703250 10794704128 12455427840 12650043900 12974404000 13493380160 15569284800 15812554875 16192056192 16866725200 19461606000 20240070240 20759046400 21083406500 25300087800 25948808000 26986760320 31138569600 31625109750 32384112384 33733450400 38923212000 40480140480 42166813000 50600175600 51897616000 53973520640 62277139200 63250219500 67466900800 77846424000 80960280960 84333626000 101200351200 103795232000 126500439000 134933801600 155692848000 161920561920 168667252000 202400702400 253000878000 269867603200 311385696000 337334504000 404801404800 506001756000 674669008000 809602809600 1012003512000 1349338016000 2024007024000 4048014048000
- Sum of all divisors σ(n): 14487790550688
- Sum of proper divisors (its aliquot sum) s(n): 10439776502688
- 4048014048000 is an abundant number, because the sum of its proper divisors (10439776502688) is greater than itself. Its abundance is 6391762454688
Bases of 4048014048000
- Binary: 1110101110100000000111000001111011000000002
- Hexadecimal: 0x3AE80707B00
- Base-36: 1FNMR1PMO
Squares and roots of 4048014048000
- 4048014048000 squared (40480140480002) is 16386417732805346304000000
- 4048014048000 cubed (40480140480003) is 66332449178792352288096878592000000000
-
The
square root of 4048014048000 is 2011967.7055062291 -
The
cube root of 4048014048000 is 15937.2726933517
Scales and comparisons
How big is 4048014048000?- 4,048,014,048,000 seconds is equal to 128,714 years, 16 weeks, 6 days, 10 hours, 40 minutes.
-
To count from 1 to 4,048,014,048,000 would take you about three hundred twenty-one thousand, seven hundred eighty-five 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 4048014048000 cubic inches would be around 1328.1 feet tall.
Recreational maths with 4048014048000
- 4048014048000 backwards is 0008404108404
- The number of decimal digits it has is: 13
- The sum of 4048014048000's digits is 33
- More coming soon!
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