248225785385984000
248,225,785,385,984,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 248225785385984000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3024 divisors.
248225785385984000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 248225785385984000:
213 × 53 × 72 × 29 × 372 × 3532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 29 × 37 × 37 × 353 × 353)See below for interesting mathematical facts about the number 248225785385984000 from the Numbermatics database.
Names of 248225785385984000
- Cardinal: 248225785385984000 can be written as Two hundred forty-eight quadrillion, two hundred twenty-five trillion, seven hundred eighty-five billion, three hundred eighty-five million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 2.48225785385984 × 1017
Factors of 248225785385984000
Divisors of 248225785385984000
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 37 40 49 50 56 58 64 70 74 80 98 100 112 116 125 128 140 145 148 160 175 185 196 200 203 224 232 245 250 256 259 280 290 296 320 350 353 370 392 400 406 448 464 490 500 512 518 560 580 592 640 700 706 725 740 784 800 812 875 896 925 928 980 1000 1015 1024 1036 1073 1120 1160 1184 1225 1280 1295 1369 1400 1412 1421 1450 1480 1568 1600 1624 1750 1765 1792 1813 1850 1856 1960 2000 2030 2048 2072 2146 2240 2320 2368 2450 2471 2560 2590 2738 2800 2824 2842 2900 2960 3136 3200 3248 3500 3530 3584 3625 3626 3700 3712 3920 4000 4060 4096 4144 4292 4480 4625 4640 4736 4900 4942 5075 5120 5180 5365 5476 5600 5648 5684 5800 5920 6125 6272 6400 6475 6496 6845 7000 7060 7105 7168 7250 7252 7400 7424 7511 7840 8000 8120 8192 8288 8584 8825 8960 9065 9250 9280 9472 9583 9800 9884 10150 10237 10240 10360 10730 10952 11200 11296 11368 11600 11840 12250 12355 12544 12800 12950 12992 13061 13690 14000 14120 14210 14336 14500 14504 14800 14848 15022 15680 16000 16240 16576 17168 17297 17650 17920 18130 18500 18560 18944 19166 19600 19768 20300 20474 20480 20720 21460 21904 22400 22592 22736 23200 23680 24500 24710 25088 25375 25600 25900 25984 26122 26825 27380 28000 28240 28420 28672 29000 29008 29600 29696 30044 31360 32000 32375 32480 33152 34225 34336 34594 35300 35525 35840 36260 37000 37120 37555 37888 38332 39200 39536 39701 40600 40948 40960 41440 42920 43808 44125 44800 45184 45325 45472 46400 47360 47915 49000 49420 50176 50750 51185 51200 51800 51968 52244 52577 53650 54760 56000 56480 56840 57344 58000 58016 59200 59392 60088 61775 62720 64000 64750 64960 65305 66304 67081 68450 68672 69188 70600 71050 71659 71680 72520 74000 74240 75110 75776 76664 78400 79072 79402 81200 81896 82880 85840 86485 87616 88250 89600 90368 90650 90944 91427 92800 94720 95830 98000 98840 100352 101500 102370 102400 103600 103936 104488 105154 107300 109520 112000 112960 113680 116000 116032 118400 118784 120176 123550 124609 125440 128000 129500 129920 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670880501043200 703189193728000 709216529674240 775705579331200 838600626304000 855950984089600 886520662092800 958400715776000 969631974164000 992903141543936 1013166470963200 1069938730112000 1108150827616000 1222787120128000 1241128926929920 1266458088704000 1341761002086400 1418433059348480 1551411158662400 1677201252608000 1711901968179200 1773041324185600 1939263948328000 1985806283087872 2139877460224000 2216301655232000 2482257853859840 2532916177408000 3102822317324800 3354402505216000 3546082648371200 3878527896656000 4279754920448000 4432603310464000 4964515707719680 5065832354816000 6205644634649600 6708805010432000 7092165296742400 7757055793312000 8559509840896000 8865206620928000 9929031415439360 12411289269299200 15514111586624000 17730413241856000 24822578538598400 31028223173248000 35460826483712000 49645157077196800 62056446346496000 124112892692992000 248225785385984000
- Sum of all divisors σ(n): 768404111983424280
- Sum of proper divisors (its aliquot sum) s(n): 520178326597440280
- 248225785385984000 is an abundant number, because the sum of its proper divisors (520178326597440280) is greater than itself. Its abundance is 271952541211456280
Bases of 248225785385984000
- Binary: 11011100011110000000001001011000100000011000100000000000002
- Hexadecimal: 0x371E00962062000
- Base-36: 1VW4P3K2YKU8
Squares and roots of 248225785385984000
- 248225785385984000 squared (2482257853859840002) is 61616040530488587943863648256000000
- 248225785385984000 cubed (2482257853859840003) is 15294690053055151964027197150233747368443904000000000
-
The
square root of 248225785385984000 is 498222626.3288169855 -
The
cube root of 248225785385984000 is 628466.7387320011
Scales and comparisons
How big is 248225785385984000?- 248,225,785,385,984,000 seconds is equal to 7,892,812,162 years, 26 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 248,225,785,385,984,000 would take you about twenty-three billion, six hundred seventy-eight million, four hundred thirty-six thousand, four hundred eighty-seven 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 248225785385984000 cubic inches would be around 52372.2 feet tall.
Recreational maths with 248225785385984000
- 248225785385984000 backwards is 000489583587522842
- 248225785385984000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 248225785385984000's digits is 80
- More coming soon!
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Cite this page
MLA style:
"Number 248225785385984000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 248225785385984000 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/248225785385984000/
Chicago style:
Numbermatics. 2024. "Number 248225785385984000 - Facts about the integer". https://numbermatics.com/n/248225785385984000/
The information we have on file for 248225785385984000 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!
Keywords: Divisors of 248225785385984000, math, Factors of 248225785385984000, curriculum, school, college, exams, university, Prime factorization of 248225785385984000, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-eight quadrillion, two hundred twenty-five trillion, seven hundred eighty-five billion, three hundred eighty-five million, nine hundred eighty-four thousand.