32813005978368000
32,813,005,978,368,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 32813005978368000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
32813005978368000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 32813005978368000:
211 × 32 × 53 × 72 × 11 × 16381 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 16381 × 1613)See below for interesting mathematical facts about the number 32813005978368000 from the Numbermatics database.
Names of 32813005978368000
- Cardinal: 32813005978368000 can be written as Thirty-two quadrillion, eight hundred thirteen trillion, five billion, nine hundred seventy-eight million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 3.2813005978368 × 1016
Factors of 32813005978368000
Divisors of 32813005978368000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 49 50 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 98 99 100 105 110 112 120 125 126 128 132 140 144 147 150 154 160 165 168 175 176 180 192 196 198 200 210 220 224 225 231 240 245 250 252 256 264 275 280 288 294 300 308 315 320 330 336 350 352 360 375 384 385 392 396 400 420 440 441 448 450 462 480 490 495 500 504 512 525 528 539 550 560 576 588 600 616 630 640 660 672 693 700 704 720 735 750 768 770 784 792 800 825 840 875 880 882 896 900 924 960 980 990 1000 1008 1024 1050 1056 1078 1100 1120 1125 1152 1155 1176 1200 1225 1232 1260 1280 1320 1344 1375 1386 1400 1408 1440 1470 1500 1536 1540 1568 1575 1584 1600 1613 1617 1650 1680 1750 1760 1764 1792 1800 1848 1920 1925 1960 1980 2000 2016 2048 2100 2112 2156 2200 2205 2240 2250 2304 2310 2352 2400 2450 2464 2475 2520 2560 2625 2640 2688 2695 2750 2772 2800 2816 2880 2940 3000 3072 3080 3136 3150 3168 3200 3226 3234 3300 3360 3465 3500 3520 3528 3584 3600 3675 3696 3840 3850 3920 3960 4000 4032 4125 4200 4224 4312 4400 4410 4480 4500 4608 4620 4704 4800 4839 4851 4900 4928 4950 5040 5120 5250 5280 5376 5390 5500 5544 5600 5632 5760 5775 5880 6000 6125 6144 6160 6272 6300 6336 6400 6452 6468 6600 6720 6930 7000 7040 7056 7168 7200 7350 7392 7680 7700 7840 7875 7920 8000 8064 8065 8085 8250 8400 8448 8624 8800 8820 8960 9000 9216 9240 9408 9600 9625 9678 9702 9800 9856 9900 10080 10240 10500 10560 10752 10780 11000 11025 11088 11200 11264 11291 11520 11550 11760 12000 12250 12320 12375 12544 12600 12672 12800 12904 12936 13200 13440 13475 13860 14000 14080 14112 14336 14400 14517 14700 14784 15360 15400 15680 15750 15840 16000 16128 16130 16170 16381 16500 16800 16896 17248 17325 17600 17640 17743 17920 18000 18375 18432 18480 18816 19200 19250 19356 19404 19600 19712 19800 20160 21000 21120 21504 21560 22000 22050 22176 22400 22528 22582 23040 23100 23520 24000 24195 24255 24500 24640 24750 25088 25200 25344 25600 25808 25872 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68360429121600 71023822464000 72917791063040 73243316916000 74405909248000 74575013587200 78126204710400 82032514945920 82861126208000 83706647904000 85228586956800 85450536402000 87501349275648 91147238828800 93218766984000 93751445652480 97657755888000 99433351449600 102540643682400 104168272947200 106535733696000 109376686594560 111608863872000 113934048536000 117189307065600 119320021739520 124291689312000 128175804603000 130210341184000 131252023913472 133930636646400 136720858243200 142047644928000 145835582126080 146486633832000 149150027174400 156252409420800 164065029891840 165722252416000 167413295808000 170901072804000 182294477657600 186437533968000 187502891304960 195315511776000 198866702899200 205081287364800 213071467392000 218753373189120 223217727744000 227868097072000 234378614131200 248583378624000 256351609206000 260420682368000 262504047826944 273441716486400 292973267664000 298300054348800 312504818841600 328130059783680 331444504832000 334826591616000 341802145608000 364588955315200 372875067936000 390631023552000 410162574729600 426142934784000 437506746378240 455736194144000 468757228262400 497166757248000 512703218412000 520841364736000 546883432972800 585946535328000 596600108697600 656260119567360 669653183232000 683604291216000 729177910630400 745750135872000 781262047104000 820325149459200 911472388288000 937514456524800 994333514496000 1025406436824000 1093766865945600 1171893070656000 1312520239134720 1367208582432000 1491500271744000 1562524094208000 1640650298918400 1822944776576000 2050812873648000 2187533731891200 2343786141312000 2734417164864000 2983000543488000 3281300597836800 3645889553152000 4101625747296000 4687572282624000 5468834329728000 6562601195673600 8203251494592000 10937668659456000 16406502989184000 32813005978368000
- Sum of all divisors σ(n): 150192556765917120
- Sum of proper divisors (its aliquot sum) s(n): 117379550787549120
- 32813005978368000 is an abundant number, because the sum of its proper divisors (117379550787549120) is greater than itself. Its abundance is 84566544809181120
Bases of 32813005978368000
- Binary: 11101001001001101000001010011010101101001111000000000002
- Hexadecimal: 0x7493414D5A7800
- Base-36: 8Z38MUGT8G0
Squares and roots of 32813005978368000
- 32813005978368000 squared (328130059783680002) is 1076693361336414108883943424000000
- 32813005978368000 cubed (328130059783680003) is 35329545702400893380864178871995079852032000000000
-
The
square root of 32813005978368000 is 181143605.9549660173 -
The
cube root of 32813005978368000 is 320146.4368139225
Scales and comparisons
How big is 32813005978368000?- 32,813,005,978,368,000 seconds is equal to 1,043,352,092 years, 42 weeks, 4 days, 16 hours.
-
To count from 1 to 32,813,005,978,368,000 would take you about three billion, one hundred thirty million, fifty-six thousand, two hundred seventy-eight 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 32813005978368000 cubic inches would be around 26678.9 feet tall.
Recreational maths with 32813005978368000
- 32813005978368000 backwards is 00086387950031823
- 32813005978368000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 32813005978368000's digits is 63
- More coming soon!
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MLA style:
"Number 32813005978368000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 32813005978368000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/32813005978368000/
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Numbermatics. 2024. "Number 32813005978368000 - Facts about the integer". https://numbermatics.com/n/32813005978368000/
The information we have on file for 32813005978368000 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 32813005978368000, math, Factors of 32813005978368000, curriculum, school, college, exams, university, Prime factorization of 32813005978368000, STEM, science, technology, engineering, physics, economics, calculator, thirty-two quadrillion, eight hundred thirteen trillion, five billion, nine hundred seventy-eight million, three hundred sixty-eight thousand.