468949728000
468,949,728,000 is an even composite number composed of five prime numbers multiplied together.
468949728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 468949728000:
28 × 3 × 53 × 13 × 375761
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 375761)See below for interesting mathematical facts about the number 468949728000 from the Numbermatics database.
Names of 468949728000
- Cardinal: 468949728000 can be written as Four hundred sixty-eight billion, nine hundred forty-nine million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.68949728 × 1011
Factors of 468949728000
Divisors of 468949728000
- Number of divisors d(n): 288
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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 1920 1950 2000 2080 2400 2496 2600 3000 3120 3200 3250 3328 3840 3900 4000 4160 4800 4875 4992 5200 6000 6240 6400 6500 7800 8000 8320 9600 9750 9984 10400 12000 12480 13000 15600 16000 16640 19200 19500 20800 24000 24960 26000 31200 32000 39000 41600 48000 49920 52000 62400 78000 83200 96000 104000 124800 156000 208000 249600 312000 375761 416000 624000 751522 1127283 1248000 1503044 1878805 2254566 3006088 3757610 4509132 4884893 5636415 6012176 7515220 9018264 9394025 9769786 11272830 12024352 14654679 15030440 18036528 18788050 19539572 22545660 24048704 24424465 28182075 29309358 30060880 36073056 37576100 39079144 45091320 46970125 48097408 48848930 56364150 58618716 60121760 72146112 73273395 75152200 78158288 90182640 93940250 96194816 97697860 112728300 117237432 120243520 122122325 140910375 144292224 146546790 150304400 156316576 180365280 187880500 195395720 225456600 234474864 240487040 244244650 281820750 288584448 293093580 300608800 312633152 360730560 366366975 375761000 390791440 450913200 468949728 480974080 488489300 563641500 586187160 601217600 610611625 625266304 721461120 732733950 751522000 781582880 901826400 937899456 976978600 1127283000 1172374320 1202435200 1221223250 1250532608 1442922240 1465467900 1503044000 1563165760 1803652800 1831834875 1875798912 1953957200 2254566000 2344748640 2404870400 2442446500 2930935800 3006088000 3126331520 3607305600 3663669750 3751597824 3907914400 4509132000 4689497280 4884893000 5861871600 6012176000 6252663040 7214611200 7327339500 7815828800 9018264000 9378994560 9769786000 11723743200 12024352000 14654679000 15631657600 18036528000 18757989120 19539572000 23447486400 29309358000 31263315200 36073056000 39079144000 46894972800 58618716000 78158288000 93789945600 117237432000 156316576000 234474864000 468949728000
- Sum of all divisors σ(n): 1677437641152
- Sum of proper divisors (its aliquot sum) s(n): 1208487913152
- 468949728000 is an abundant number, because the sum of its proper divisors (1208487913152) is greater than itself. Its abundance is 739538185152
Bases of 468949728000
- Binary: 1101101001011111001010011111011000000002
- Hexadecimal: 0x6D2F94FB00
- Base-36: 5ZFKK5XC
Squares and roots of 468949728000
- 468949728000 squared (4689497280002) is 219913847391273984000000
- 468949728000 cubed (4689497280003) is 103128538917571444370276352000000000
-
The
square root of 468949728000 is 684799.0420554047 -
The
cube root of 468949728000 is 7769.1843994829
Scales and comparisons
How big is 468949728000?- 468,949,728,000 seconds is equal to 14,911 years, 7 weeks, 5 days, 21 hours, 20 minutes.
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To count from 1 to 468,949,728,000 would take you about twenty-nine thousand, eight hundred twenty-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 468949728000 cubic inches would be around 647.4 feet tall.
Recreational maths with 468949728000
- 468949728000 backwards is 000827949864
- The number of decimal digits it has is: 12
- The sum of 468949728000's digits is 57
- More coming soon!
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