230824226304000
230,824,226,304,000 is an even composite number composed of six prime numbers multiplied together.
230824226304000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, one hundred twenty divisors.
Prime factorization of 230824226304000:
212 × 32 × 53 × 74 × 31 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 31 × 673)See below for interesting mathematical facts about the number 230824226304000 from the Numbermatics database.
Names of 230824226304000
- Cardinal: 230824226304000 can be written as Two hundred thirty trillion, eight hundred twenty-four billion, two hundred twenty-six million, three hundred four thousand.
Scientific notation
- Scientific notation: 2.30824226304 × 1014
Factors of 230824226304000
Divisors of 230824226304000
- Number of divisors d(n): 3120
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 31 32 35 36 40 42 45 48 49 50 56 60 62 63 64 70 72 75 80 84 90 93 96 98 100 105 112 120 124 125 126 128 140 144 147 150 155 160 168 175 180 186 192 196 200 210 217 224 225 240 245 248 250 252 256 279 280 288 294 300 310 315 320 336 343 350 360 372 375 384 392 400 420 434 441 448 450 465 480 490 496 500 504 512 525 558 560 576 588 600 620 630 640 651 672 673 686 700 720 735 744 750 768 775 784 800 840 868 875 882 896 900 930 960 980 992 1000 1008 1024 1029 1050 1085 1116 1120 1125 1152 1176 1200 1225 1240 1260 1280 1302 1344 1346 1372 1395 1400 1440 1470 1488 1500 1519 1536 1550 1568 1575 1600 1680 1715 1736 1750 1764 1792 1800 1860 1920 1953 1960 1984 2000 2016 2019 2048 2058 2100 2170 2205 2232 2240 2250 2304 2325 2352 2400 2401 2450 2480 2520 2560 2604 2625 2688 2692 2744 2790 2800 2880 2940 2976 3000 3038 3072 3087 3100 3136 3150 3200 3255 3360 3365 3430 3472 3500 3528 3584 3600 3675 3720 3840 3875 3906 3920 3968 4000 4032 4038 4096 4116 4200 4340 4410 4464 4480 4500 4557 4608 4650 4704 4711 4800 4802 4900 4960 5040 5120 5145 5208 5250 5376 5384 5425 5488 5580 5600 5760 5880 5952 6000 6057 6076 6125 6144 6174 6200 6272 6300 6400 6510 6720 6730 6860 6944 6975 7000 7056 7168 7200 7203 7350 7440 7595 7680 7750 7812 7840 7875 7936 8000 8064 8076 8232 8400 8575 8680 8820 8928 8960 9000 9114 9216 9300 9408 9422 9600 9604 9765 9800 9920 10080 10095 10240 10290 10416 10500 10633 10752 10768 10850 10976 11025 11160 11200 11520 11625 11760 11904 12000 12005 12114 12152 12250 12288 12348 12400 12544 12600 12800 13020 13440 13460 13671 13720 13888 13950 14000 14112 14133 14336 14400 14406 14700 14880 15190 15360 15435 15500 15624 15680 15750 15872 16000 16128 16152 16275 16464 16800 16825 17150 17360 17640 17856 17920 18000 18228 18375 18432 18600 18816 18844 19200 19208 19530 19600 19840 20160 20190 20480 20580 20832 20863 21000 21266 21504 21536 21609 21700 21952 22050 22320 22400 22785 23040 23250 23520 23555 23808 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785116416000 801473008000 824372236800 827326976000 901657134000 915969152000 923296905216 930742848000 942139699200 961767609600 1025885450240 1030465296000 1063706112000 1099162982400 1154121131520 1177674624000 1202209512000 1240990464000 1282356812800 1318995578880 1373953728000 1442651414400 1489188556800 1538828175360 1570232832000 1602946016000 1648744473600 1803314268000 1831938304000 1846593810432 1861485696000 1923535219200 2060930592000 2198325964800 2308242263040 2355349248000 2404419024000 2481980928000 2564713625600 2747907456000 2885302828800 3077656350720 3205892032000 3297488947200 3606628536000 3663876608000 3722971392000 3847070438400 4121861184000 4616484526080 4710698496000 4808838048000 5129427251200 5495814912000 5770605657600 6411784064000 6594977894400 7213257072000 7445942784000 7694140876800 8243722368000 9232969052160 9617676096000 10991629824000 11541211315200 12823568128000 14426514144000 15388281753600 16487444736000 19235352192000 23082422630400 25647136256000 28853028288000 32974889472000 38470704384000 46164845260800 57706056576000 76941408768000 115412113152000 230824226304000
- Sum of all divisors σ(n): 1003524223812864
- Sum of proper divisors (its aliquot sum) s(n): 772699997508864
- 230824226304000 is an abundant number, because the sum of its proper divisors (772699997508864) is greater than itself. Its abundance is 541875771204864
Bases of 230824226304000
- Binary: 1101000111101110111101000000001110110000000000002
- Hexadecimal: 0xD1EEF403B000
- Base-36: 29TJ6OMWW0
Squares and roots of 230824226304000
- 230824226304000 squared (2308242263040002) is 53279823448840205500416000000
- 230824226304000 cubed (2308242263040003) is 12298274025192257360761888350142464000000000
-
The
square root of 230824226304000 is 15192900.5230732687 -
The
cube root of 230824226304000 is 61342.3575194761
Scales and comparisons
How big is 230824226304000?- 230,824,226,304,000 seconds is equal to 7,339,496 years, 21 weeks, 2 days, 8 hours.
-
To count from 1 to 230,824,226,304,000 would take you about eighteen million, three hundred forty-eight thousand, seven hundred forty-one 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 230824226304000 cubic inches would be around 5111.9 feet tall.
Recreational maths with 230824226304000
- 230824226304000 backwards is 000403622428032
- 230824226304000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 230824226304000's digits is 36
- More coming soon!
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"Number 230824226304000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 230824226304000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/230824226304000/
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The information we have on file for 230824226304000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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