83085348963264000
83,085,348,963,264,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 83085348963264000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
83085348963264000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 83085348963264000:
29 × 3 × 53 × 29 × 792 × 97 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 29 × 79 × 79 × 97 × 157 × 157)See below for interesting mathematical facts about the number 83085348963264000 from the Numbermatics database.
Names of 83085348963264000
- Cardinal: 83085348963264000 can be written as Eighty-three quadrillion, eighty-five trillion, three hundred forty-eight billion, nine hundred sixty-three million, two hundred sixty-four thousand.
Scientific notation
- Scientific notation: 8.3085348963264 × 1016
Factors of 83085348963264000
Divisors of 83085348963264000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 64 75 79 80 87 96 97 100 116 120 125 128 145 150 157 158 160 174 192 194 200 232 237 240 250 256 290 291 300 314 316 320 348 375 384 388 395 400 435 464 471 474 480 485 500 512 580 582 600 628 632 640 696 725 750 768 776 785 790 800 870 928 942 948 960 970 1000 1160 1164 1185 1200 1256 1264 1280 1392 1450 1455 1500 1536 1552 1570 1580 1600 1740 1856 1884 1896 1920 1940 1975 2000 2175 2291 2320 2328 2355 2370 2400 2425 2512 2528 2560 2784 2813 2900 2910 3000 3104 3140 3160 3200 3480 3625 3712 3768 3792 3840 3880 3925 3950 4000 4350 4553 4582 4640 4656 4710 4740 4800 4850 5024 5056 5568 5626 5800 5820 5925 6000 6208 6241 6280 6320 6400 6873 6960 7250 7275 7424 7536 7584 7663 7680 7760 7850 7900 8000 8439 8700 9106 9164 9280 9312 9420 9480 9600 9700 9875 10048 10112 10875 11136 11252 11455 11600 11640 11775 11850 12000 12125 12403 12416 12482 12560 12640 12800 13659 13746 13920 14065 14500 14550 14848 15072 15168 15229 15326 15520 15700 15800 16000 16878 17400 18212 18328 18560 18624 18723 18840 18960 19200 19400 19625 19750 20096 20224 21750 22272 22504 22765 22910 22989 23200 23280 23550 23700 24000 24250 24649 24806 24832 24964 25120 25280 27318 27492 27840 28130 29000 29100 29625 30144 30336 30458 30652 31040 31205 31400 31600 32000 33756 34365 34800 36375 36424 36656 37120 37209 37248 37446 37680 37920 38315 38400 38800 39250 39500 40192 40448 42195 43500 44544 45008 45530 45687 45820 45978 46400 46560 47100 47400 48000 48500 49298 49612 49664 49928 50240 50560 54636 54984 55680 56260 57275 58000 58200 58875 59250 60288 60672 60916 61304 62015 62080 62410 62800 63200 64000 67512 68295 68730 69600 70325 72750 72848 73312 73947 74240 74418 74496 74892 75360 75840 76145 76630 77600 78500 79000 80384 84390 87000 90016 91060 91374 91640 91956 92800 93120 93615 94200 94800 96000 97000 98596 99224 99856 100480 101120 109272 109968 111360 112520 113825 114550 114945 116000 116400 117750 118500 120576 121344 121832 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44765813019000 47750200553600 51928343102040 52585663900800 52920604435200 53534374332000 54092024064625 55390232642176 57103332620800 57300240664320 59687750692000 64910428877550 65732079876000 66150755544000 69237790802720 70114218534400 71379165776000 71625300830400 83085348963264 85654998931200 86547238503400 87642773168000 88201007392000 89531626038000 95500401107200 103856686204080 105171327801600 105841208870400 107068748664000 108184048129250 110780465284352 114600481328640 119375501384000 129820857755100 131464159752000 132301511088000 138475581605440 142758331552000 143250601660800 162276072193875 166170697926528 171309997862400 173094477006800 175285546336000 176402014784000 179063252076000 191000802214400 207713372408160 210342655603200 214137497328000 216368096258500 221560930568704 238751002768000 259641715510200 262928319504000 264603022176000 276951163210880 285516663104000 286501203321600 324552144387750 332341395853056 346188954013600 350571092672000 358126504152000 415426744816320 428274994656000 432736192517000 477502005536000 519283431020400 525856639008000 529206044352000 553902326421760 573002406643200 649104288775500 664682791706112 692377908027200 716253008304000 830853489632640 856549989312000 865472385034000 955004011072000 1038566862040800 1051713278016000 1107804652843520 1298208577551000 1384755816054400 1432506016608000 1661706979265280 1730944770068000 2077133724081600 2596417155102000 2769511632108800 2865012033216000 3323413958530560 3461889540136000 4154267448163200 5192834310204000 5539023264217600 6923779080272000 8308534896326400 10385668620408000 13847558160544000 16617069792652800 20771337240816000 27695116321088000 41542674481632000 83085348963264000
- Sum of all divisors σ(n): 294284637165879360
- Sum of proper divisors (its aliquot sum) s(n): 211199288202615360
- 83085348963264000 is an abundant number, because the sum of its proper divisors (211199288202615360) is greater than itself. Its abundance is 128113939239351360
Bases of 83085348963264000
- Binary: 1001001110010110110101111010001101111111010100110000000002
- Hexadecimal: 0x1272DAF46FEA600
- Base-36: MQ3AQDWL62O
Squares and roots of 83085348963264000
- 83085348963264000 squared (830853489632640002) is 6903175212347354239621533696000000
- 83085348963264000 cubed (830853489632640003) is 573552721472433991624792349700683242143744000000000
-
The
square root of 83085348963264000 is 288245293.0461553955 -
The
cube root of 83085348963264000 is 436356.5332783487
Scales and comparisons
How big is 83085348963264000?- 83,085,348,963,264,000 seconds is equal to 2,641,857,097 years, 9 weeks, 2 hours, 40 minutes.
-
To count from 1 to 83,085,348,963,264,000 would take you about seven billion, nine hundred twenty-five million, five hundred seventy-one thousand, two hundred ninety-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 83085348963264000 cubic inches would be around 36363 feet tall.
Recreational maths with 83085348963264000
- 83085348963264000 backwards is 00046236984358038
- The number of decimal digits it has is: 17
- The sum of 83085348963264000's digits is 69
- More coming soon!
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"Number 83085348963264000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 83085348963264000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/83085348963264000/
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The information we have on file for 83085348963264000 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 83085348963264000, math, Factors of 83085348963264000, curriculum, school, college, exams, university, Prime factorization of 83085348963264000, STEM, science, technology, engineering, physics, economics, calculator, eighty-three quadrillion, eighty-five trillion, three hundred forty-eight billion, nine hundred sixty-three million, two hundred sixty-four thousand.