997056345874262400
997,056,345,874,262,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 997056345874262400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
997056345874262400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 997056345874262400:
27 × 32 × 52 × 43 × 181 × 4448157781
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 43 × 181 × 4448157781)See below for interesting mathematical facts about the number 997056345874262400 from the Numbermatics database.
Names of 997056345874262400
- Cardinal: 997056345874262400 can be written as Nine hundred ninety-seven quadrillion, fifty-six trillion, three hundred forty-five billion, eight hundred seventy-four million, two hundred sixty-two thousand, four hundred.
Scientific notation
- Scientific notation: 9.970563458742624 × 1017
Factors of 997056345874262400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 4448158015
Divisors of 997056345874262400
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 43 45 48 50 60 64 72 75 80 86 90 96 100 120 128 129 144 150 160 172 180 181 192 200 215 225 240 258 288 300 320 344 360 362 384 387 400 430 450 480 516 543 576 600 640 645 688 720 724 774 800 860 900 905 960 1032 1075 1086 1152 1200 1290 1376 1440 1448 1548 1600 1629 1720 1800 1810 1920 1935 2064 2150 2172 2400 2580 2715 2752 2880 2896 3096 3200 3225 3258 3440 3600 3620 3870 4128 4300 4344 4525 4800 5160 5430 5504 5760 5792 6192 6450 6516 6880 7200 7240 7740 7783 8145 8256 8600 8688 9050 9600 9675 10320 10860 11584 12384 12900 13032 13575 13760 14400 14480 15480 15566 16290 16512 17200 17376 18100 19350 20640 21720 23168 23349 24768 25800 26064 27150 27520 28800 28960 30960 31132 32580 34400 34752 36200 38700 38915 40725 41280 43440 46698 49536 51600 52128 54300 57920 61920 62264 65160 68800 69504 70047 72400 77400 77830 81450 82560 86880 93396 103200 104256 108600 115840 116745 123840 124528 130320 137600 140094 144800 154800 155660 162900 173760 186792 194575 206400 208512 217200 233490 247680 249056 260640 280188 289600 309600 311320 325800 347520 350235 373584 389150 412800 434400 466980 498112 521280 560376 579200 583725 619200 622640 651600 700470 747168 778300 868800 933960 996224 1042560 1120752 1167450 1238400 1245280 1303200 1400940 1494336 1556600 1737600 1751175 1867920 2241504 2334900 2490560 2606400 2801880 2988672 3113200 3502350 3735840 4483008 4669800 4981120 5212800 5603760 6226400 7004700 7471680 8966016 9339600 11207520 12452800 14009400 14943360 18679200 22415040 24905600 28018800 37358400 44830080 56037600 74716800 112075200 224150400 4448157781 8896315562 13344473343 17792631124 22240788905 26688946686 35585262248 40033420029 44481577810 53377893372 66722366715 71170524496 80066840058 88963155620 106755786744 111203944525 133444733430 142341048992 160133680116 177926311240 191270784583 200167100145 213511573488 222407889050 266889466860 284682097984 320267360232 333611833575 355852622480 382541569166 400334200290 427023146976 444815778100 533778933720 569364195968 573812353749 640534720464 667223667150 711705244960 765083138332 800668400580 805116558361 854046293952 889631556200 956353922915 1000835500725 1067557867440 1147624707498 1281069440928 1334447334300 1423410489920 1530166276664 1601336801160 1610233116722 1708092587904 1721437061247 1779263112400 1912707845830 2001671001450 2135115734880 2295249414996 2415349675083 2562138881856 2668894668600 2846820979840 2869061768745 3060332553328 3202673602320 3220466233444 3442874122494 3558526224800 3825415691660 4003342002900 4025582791805 4270231469760 4590498829992 4781769614575 4830699350166 5124277763712 5337789337200 5738123537490 6120665106656 6405347204640 6440932466888 6885748244988 7117052449600 7246049025249 7650831383320 8006684005800 8051165583610 8540462939520 8607185306235 9180997659984 9563539229150 9661398700332 10675578674400 11476247074980 12076748375415 12241330213312 12810694409280 12881864933776 13771496489976 14234104899200 14345308843725 14492098050498 15301662766640 16013368011600 16102331167220 17214370612470 18361995319968 19127078458300 19322797400664 20127913959025 21351157348800 22952494149960 24153496750830 24482660426624 25621388818560 25763729867552 27542992979952 28690617687450 28984196100996 30603325533280 32026736023200 32204662334440 34428741224940 34620012009523 36230245126245 36723990639936 38254156916600 38645594801328 40255827918050 42702314697600 43035926531175 45904988299920 48306993501660 51527459735104 55085985959904 57381235374900 57968392201992 60383741877075 61206651066560 64053472046400 64409324668880 68857482449880 69240024019046 72460490252490 73447981279872 76508313833200 77291189602656 80511655836100 86071853062350 91809976599840 96613987003320 103054919470208 103860036028569 110171971919808 114762470749800 115936784403984 120767483754150 122413302133120 128106944092800 128818649337760 137714964899760 138480048038092 144920980504980 153016627666400 154582379205312 161023311672200 172143706124700 173100060047615 181151225631225 183619953199680 193227974006640 207720072057138 220343943839616 229524941499600 231873568807968 241534967508300 257637298675520 275429929799520 276960096076184 289841961009960 306033255332800 309164758410624 311580108085707 322046623344400 344287412249400 346200120095230 362302451262450 367239906399360 386455948013280 415440144114276 459049882999200 463747137615936 483069935016600 515274597351040 519300180142845 550859859599040 553920192152368 579683922019920 612066510665600 623160216171414 644093246688800 688574824498800 692400240190460 724604902524900 772911896026560 830880288228552 865500300238075 918099765998400 927494275231872 966139870033200 1038600360285690 1101719719198080 1107840384304736 1159367844039840 1246320432342828 1288186493377600 1377149648997600 1384800480380920 1449209805049800 1545823792053120 1557900540428535 1661760576457104 1731000600476150 1836199531996800 1932279740066400 2077200720571380 2215680768609472 2318735688079680 2492640864685656 2576372986755200 2596500900714225 2754299297995200 2769600960761840 2898419610099600 3115801080857070 3323521152914208 3462001200952300 3864559480132800 4154401441142760 4431361537218944 4637471376159360 4985281729371312 5193001801428450 5508598595990400 5539201921523680 5796839220199200 6231602161714140 6647042305828416 6924002401904600 7729118960265600 7789502702142675 8308802882285520 9970563458742624 10386003602856900 11078403843047360 11593678440398400 12463204323428280 13294084611656832 13848004803809200 15579005404285350 16617605764571040 19941126917485248 20772007205713800 22156807686094720 23187356880796800 24926408646856560 27696009607618400 31158010808570700 33235211529142080 39882253834970496 41544014411427600 49852817293713120 55392019215236800 62316021617141400 66470423058284160 83088028822855200 99705634587426240 110784038430473600 124632043234282800 166176057645710400 199411269174852480 249264086468565600 332352115291420800 498528172937131200 997056345874262400
- Sum of all divisors σ(n): 3660576395213577840
- Sum of proper divisors (its aliquot sum) s(n): 2663520049339315440
- 997056345874262400 is an abundant number, because the sum of its proper divisors (2663520049339315440) is greater than itself. Its abundance is 1666463703465053040
Bases of 997056345874262400
- Binary: 1101110101100100000101110110110001001110001001101001100000002
- Hexadecimal: 0xDD64176C4E26980
- Base-36: 7KPEZ5YLK680
Squares and roots of 997056345874262400
- 997056345874262400 squared (9970563458742624002) is 994121356848136771994190744053760000
- 997056345874262400 cubed (9970563458742624003) is 991195007414566893273934674310966415061425946624000000
-
The
square root of 997056345874262400 is 998527088.2025496659 -
The
cube root of 997056345874262400 is 999017.8175916355
Scales and comparisons
How big is 997056345874262400?- 997,056,345,874,262,400 seconds is equal to 31,703,307,701 years, 1 week, 3 days, 8 hours.
-
To count from 1 to 997,056,345,874,262,400 would take you about ninety-five billion, one hundred nine million, nine hundred twenty-three thousand, one hundred three 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 997056345874262400 cubic inches would be around 83251.5 feet tall.
Recreational maths with 997056345874262400
- 997056345874262400 backwards is 004262478543650799
- The number of decimal digits it has is: 18
- The sum of 997056345874262400's digits is 81
- More coming soon!
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The information we have on file for 997056345874262400 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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