448240728000

Names of 448240728000

• Cardinal: 448240728000 can be written as Four hundred forty-eight billion, two hundred forty million, seven hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 4.48240728 × 10¹¹

Factors of 448240728000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 8524

Divisors of 448240728000

• Number of divisors d(n): 448
• 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 96 100 104 120 125 130 150 156 160 169 192 195 200 208 240 250 260 300 312 320 325 338 375 390 400 416 480 500 507 520 600 624 650 676 750 780 800 832 845 960 975 1000 1014 1040 1200 1248 1300 1352 1500 1560 1600 1625 1690 1950 2000 2028 2080 2197 2400 2496 2535 2600 2704 3000 3120 3250 3380 3900 4000 4056 4160 4225 4394 4800 4875 5070 5200 5408 6000 6240 6500 6591 6760 7800 8000 8112 8450 8501 8788 9750 10140 10400 10816 10985 12000 12480 12675 13000 13182 13520 15600 16224 16900 17002 17576 19500 20280 20800 21125 21970 24000 25350 25503 26000 26364 27040 31200 32448 32955 33800 34004 35152 39000 40560 42250 42505 43940 50700 51006 52000 52728 54080 54925 62400 63375 65910 67600 68008 70304 78000 81120 84500 85010 87880 101400 102012 104000 105456 109850 110513 126750 127515 131820 135200 136016 140608 156000 162240 164775 169000 170020 175760 202800 204024 210912 212525 219700 221026 253500 255030 263640 270400 272032 274625 312000 329550 331539 338000 340040 351520 405600 408048 421824 425050 439400 442052 507000 510060 527280 544064 549250 552565 637575 659100 663078 676000 680080 703040 811200 816096 823875 850100 878800 884104 1014000 1020120 1054560 1062625 1098500 1105130 1275150 1318200 1326156 1352000 1360160 1436669 1632192 1647750 1657695 1700200 1757600 1768208 2028000 2040240 2109120 2125250 2197000 2210260 2550300 2636400 2652312 2720320 2762825 2873338 3187875 3295500 3315390 3400400 3515200 3536416 4056000 4080480 4250500 4310007 4394000 4420520 5100600 5272800 5304624 5525650 5746676 6375750 6591000 6630780 6800800 7072832 7183345 8160960 8288475 8501000 8620014 8788000 8841040 10201200 10545600 10609248 11051300 11493352 12751500 13182000 13261560 13601600 13814125 14366690 16576950 17002000 17240028 17576000 17682080 18676697 20402400 21218496 21550035 22102600 22986704 25503000 26364000 26523120 27628250 28733380 33153900 34004000 34480056 35364160 35916725 37353394 40804800 41442375 43100070 44205200 45973408 51006000 52728000 53046240 55256500 56030091 57466760 66307800 68008000 68960112 71833450 74706788 82884750 86200140 88410400 91946816 93383485 102012000 106092480 107750175 110513000 112060182 114933520 132615600 137920224 143666900 149413576 165769500 172400280 176820800 179583625 186766970 204024000 215500350 221026000 224120364 229867040 265231200 275840448 280150455 287333800 298827152 331539000 344800560 359167250 373533940 431000700 442052000 448240728 459734080 466917425 530462400 538750875 560300910 574667600 597654304 663078000 689601120 718334500 747067880 862001400 884104000 896481456 933834850 1077501750 1120601820 1149335200 1195308608 1326156000 1379202240 1400752275 1436669000 1494135760 1724002800 1792962912 1867669700 2155003500 2241203640 2298670400 2334587125 2652312000 2801504550 2873338000 2988271520 3448005600 3585925824 3735339400 4310007000 4482407280 4669174250 5603009100 5746676000 5976543040 6896011200 7003761375 7470678800 8620014000 8964814560 9338348500 11206018200 11493352000 14007522750 14941357600 17240028000 17929629120 18676697000 22412036400 28015045500 29882715200 34480056000 37353394000 44824072800 56030091000 74706788000 89648145600 112060182000 149413576000 224120364000 448240728000
• Sum of all divisors σ(n): 1603564260480
• Sum of proper divisors (its aliquot sum) s(n): 1155323532480
• 448240728000 is an abundant number, because the sum of its proper divisors (1155323532480) is greater than itself. Its abundance is 707082804480

Bases of 448240728000

• Binary: 110100001011101001110101011011111000000₂
• Hexadecimal: 0x685D3AB7C0
• Base-36: 5PX2YF9C

Squares and roots of 448240728000

• 448240728000 squared (448240728000²) is 200919750237969984000000
• 448240728000 cubed (448240728000³) is 90060415116245838870308352000000000
• The square root of 448240728000 is 669507.8251969877
• The cube root of 448240728000 is 7653.0950097845

Scales and comparisons

• 448,240,728,000 seconds is equal to 14,252 years, 34 weeks, 5 days, 9 hours, 20 minutes.
• To count from 1 to 448,240,728,000 would take you about twenty-eight thousand, five hundred 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 448240728000 cubic inches would be around 637.8 feet tall.

Recreational maths with 448240728000

• 448240728000 backwards is 000827042844
• 448240728000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 448240728000's digits is 39
• More coming soon!