468321152000
468,321,152,000 is an even composite number composed of five prime numbers multiplied together.
468321152000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 468321152000:
210 × 53 × 13 × 431 × 653
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 431 × 653)See below for interesting mathematical facts about the number 468321152000 from the Numbermatics database.
Names of 468321152000
- Cardinal: 468321152000 can be written as Four hundred sixty-eight billion, three hundred twenty-one million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 4.68321152 × 1011
Factors of 468321152000
Divisors of 468321152000
- Number of divisors d(n): 352
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 256 260 320 325 400 416 431 500 512 520 640 650 653 800 832 862 1000 1024 1040 1280 1300 1306 1600 1625 1664 1724 2000 2080 2155 2560 2600 2612 3200 3250 3265 3328 3448 4000 4160 4310 5120 5200 5224 5603 6400 6500 6530 6656 6896 8000 8320 8489 8620 10400 10448 10775 11206 12800 13000 13060 13312 13792 16000 16325 16640 16978 17240 20800 20896 21550 22412 25600 26000 26120 27584 28015 32000 32650 33280 33956 34480 41600 41792 42445 43100 44824 52000 52240 53875 55168 56030 64000 65300 66560 67912 68960 81625 83200 83584 84890 86200 89648 104000 104480 107750 110336 112060 128000 130600 135824 137920 140075 163250 166400 167168 169780 172400 179296 208000 208960 212225 215500 220672 224120 261200 271648 275840 280150 281443 326500 332800 334336 339560 344800 358592 416000 417920 424450 431000 441344 448240 522400 543296 551680 560300 562886 653000 668672 679120 689600 700375 717184 832000 835840 848900 862000 896480 1044800 1061125 1086592 1103360 1120600 1125772 1306000 1358240 1379200 1400750 1407215 1434368 1664000 1671680 1697800 1724000 1792960 2089600 2122250 2173184 2206720 2241200 2251544 2612000 2716480 2758400 2801500 2814430 2868736 3343360 3395600 3448000 3585920 3658759 4179200 4244500 4346368 4482400 4503088 5224000 5432960 5516800 5603000 5628860 5737472 6791200 6896000 7036075 7171840 7317518 8358400 8489000 8692736 8964800 9006176 10448000 10865920 11033600 11206000 11257720 13582400 13792000 14072150 14343680 14635036 16716800 16978000 17929600 18012352 18293795 20896000 21731840 22412000 22515440 27164800 27584000 28144300 28687360 29270072 33956000 35180375 35859200 36024704 36587590 41792000 43463680 44824000 45030880 54329600 55168000 56288600 58540144 67912000 70360750 71718400 72049408 73175180 83584000 89648000 90061760 91468975 108659200 112577200 117080288 135824000 140721500 143436800 144098816 146350360 179296000 180123520 182937950 217318400 225154400 234160576 271648000 281443000 288197632 292700720 358592000 360247040 365875900 450308800 457344875 468321152 543296000 562886000 585401440 717184000 720494080 731751800 900617600 914689750 936642304 1086592000 1125772000 1170802880 1440988160 1463503600 1801235200 1829379500 1873284608 2251544000 2341605760 2927007200 3602470400 3658759000 3746569216 4503088000 4683211520 5854014400 7204940800 7317518000 9006176000 9366423040 11708028800 14635036000 18012352000 18732846080 23416057600 29270072000 36024704000 46832115200 58540144000 93664230400 117080288000 234160576000 468321152000
- Sum of all divisors σ(n): 1263083238144
- Sum of proper divisors (its aliquot sum) s(n): 794762086144
- 468321152000 is an abundant number, because the sum of its proper divisors (794762086144) is greater than itself. Its abundance is 326440934144
Bases of 468321152000
- Binary: 1101101000010100001110110101100000000002
- Hexadecimal: 0x6D0A1DAC00
- Base-36: 5Z56BLKW
Squares and roots of 468321152000
- 468321152000 squared (4683211520002) is 219324701410607104000000
- 468321152000 cubed (4683211520003) is 102714396826671543964663808000000000
-
The
square root of 468321152000 is 684339.9389192479 -
The
cube root of 468321152000 is 7765.7115990731
Scales and comparisons
How big is 468321152000?- 468,321,152,000 seconds is equal to 14,891 years, 8 weeks, 3 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 468,321,152,000 would take you about twenty-nine thousand, seven hundred eighty-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 468321152000 cubic inches would be around 647.1 feet tall.
Recreational maths with 468321152000
- 468321152000 backwards is 000251123864
- 468321152000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 468321152000's digits is 32
- More coming soon!
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