450448648000
450,448,648,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 450448648000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
450448648000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 450448648000:
26 × 53 × 13 × 29 × 233 × 641
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 29 × 233 × 641)See below for interesting mathematical facts about the number 450448648000 from the Numbermatics database.
Names of 450448648000
- Cardinal: 450448648000 can be written as Four hundred fifty billion, four hundred forty-eight million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 4.50448648 × 1011
Factors of 450448648000
Divisors of 450448648000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 29 32 40 50 52 58 64 65 80 100 104 116 125 130 145 160 200 208 232 233 250 260 290 320 325 377 400 416 464 466 500 520 580 641 650 725 754 800 832 928 932 1000 1040 1160 1165 1282 1300 1450 1508 1600 1625 1856 1864 1885 2000 2080 2320 2330 2564 2600 2900 3016 3029 3205 3250 3625 3728 3770 4000 4160 4640 4660 5128 5200 5800 5825 6032 6058 6410 6500 6757 7250 7456 7540 8000 8333 9280 9320 9425 10256 10400 11600 11650 12064 12116 12820 13000 13514 14500 14912 15080 15145 16025 16666 18589 18640 18850 20512 20800 23200 23300 24128 24232 25640 26000 27028 29000 29125 30160 30290 32050 33332 33785 37178 37280 37700 41024 41665 46400 46600 47125 48464 51280 52000 54056 58000 58250 60320 60580 64100 66664 67570 74356 74560 75400 75725 80125 83330 87841 92945 93200 94250 96928 102560 104000 108112 116000 116500 120640 121160 128200 133328 135140 148712 149353 150800 151450 160250 166660 168925 175682 185890 186400 188500 193856 205120 208325 216224 232000 233000 241657 242320 256400 266656 270280 297424 298706 301600 302900 320500 333320 337850 351364 371780 372800 377000 378625 416650 432448 439205 464725 466000 483314 484640 512800 533312 540560 594848 597412 603200 605800 641000 666640 675700 702728 743560 746765 754000 757250 833300 844625 878410 929450 932000 966628 969280 1025600 1041625 1081120 1189696 1194824 1208285 1211600 1282000 1333280 1351400 1405456 1487120 1493530 1508000 1514500 1666600 1689250 1756820 1858900 1864000 1933256 1941589 2083250 2162240 2196025 2323625 2389648 2416570 2423200 2564000 2666560 2702800 2810912 2974240 2987060 3016000 3029000 3333200 3378500 3513640 3717800 3733825 3866512 3883178 4166500 4331237 4392050 4647250 4779296 4833140 4846400 5128000 5405600 5621824 5948480 5974120 6041425 6058000 6666400 6757000 7027280 7435600 7467650 7733024 7766356 8333000 8662474 8784100 9294500 9558592 9666280 9707945 10811200 10980125 11948240 12082850 12116000 13332800 13514000 14054560 14871200 14935300 15466048 15532712 16666000 17324948 17568200 18589000 18669125 19332560 19415890 21656185 21960250 23896480 24165700 24232000 27028000 28109120 29742400 29870600 30207125 31065424 33332000 34649896 35136400 37178000 37338250 38665120 38831780 43312370 43920500 47792960 48331400 48539725 54056000 56306081 59741200 60414250 62130848 66664000 69299792 70272800 74356000 74676500 77330240 77663560 86624740 87841000 96662800 97079450 108280925 112612162 119482400 120828500 124261696 138599584 140545600 148712000 149353000 155327120 173249480 175682000 193325600 194158900 216561850 225224324 238964800 241657000 242698625 277199168 281530405 298706000 310654240 346498960 351364000 386651200 388317800 433123700 450448648 483314000 485397250 541404625 563060810 597412000 621308480 692997920 702728000 776635600 866247400 900897296 966628000 970794500 1082809250 1126121620 1194824000 1385995840 1407652025 1553271200 1732494800 1801794592 1933256000 1941589000 2165618500 2252243240 2815304050 3106542400 3464989600 3603589184 3883178000 4331237000 4504486480 5630608100 6929979200 7038260125 7766356000 8662474000 9008972960 11261216200 14076520250 15532712000 17324948000 18017945920 22522432400 28153040500 34649896000 45044864800 56306081000 90089729600 112612162000 225224324000 450448648000
- Sum of all divisors σ(n): 1250053197120
- Sum of proper divisors (its aliquot sum) s(n): 799604549120
- 450448648000 is an abundant number, because the sum of its proper divisors (799604549120) is greater than itself. Its abundance is 349155901120
Bases of 450448648000
- Binary: 1101000111000001101010011100111010000002
- Hexadecimal: 0x68E0D4E740
- Base-36: 5QXLHT8G
Squares and roots of 450448648000
- 450448648000 squared (4504486480002) is 202903984485027904000000
- 450448648000 cubed (4504486480003) is 91397825485093795599073792000000000
-
The
square root of 450448648000 is 671154.7124173383 -
The
cube root of 450448648000 is 7665.6401683853
Scales and comparisons
How big is 450448648000?- 450,448,648,000 seconds is equal to 14,322 years, 45 weeks, 3 days, 26 minutes, 40 seconds.
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To count from 1 to 450,448,648,000 would take you about twenty-eight thousand, six hundred forty-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 450448648000 cubic inches would be around 638.8 feet tall.
Recreational maths with 450448648000
- 450448648000 backwards is 000846844054
- The number of decimal digits it has is: 12
- The sum of 450448648000's digits is 43
- More coming soon!
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