42728927103265200
42,728,927,103,265,200 is an even composite number composed of six prime numbers multiplied together.
42728927103265200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 42728927103265200:
24 × 3 × 52 × 73 × 235 × 1272
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 23 × 23 × 23 × 23 × 23 × 127 × 127)See below for interesting mathematical facts about the number 42728927103265200 from the Numbermatics database.
Names of 42728927103265200
- Cardinal: 42728927103265200 can be written as Forty-two quadrillion, seven hundred twenty-eight trillion, nine hundred twenty-seven billion, one hundred three million, two hundred sixty-five thousand, two hundred.
Scientific notation
- Scientific notation: 4.27289271032652 × 1016
Factors of 42728927103265200
Divisors of 42728927103265200
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 35 40 42 46 48 49 50 56 60 69 70 75 80 84 92 98 100 105 112 115 120 127 138 140 147 150 161 168 175 184 196 200 210 230 240 245 254 276 280 294 300 322 336 343 345 350 368 381 392 400 420 460 483 490 508 525 529 552 560 575 588 600 635 644 686 690 700 735 762 784 805 840 889 920 966 980 1016 1029 1050 1058 1104 1127 1150 1176 1200 1225 1270 1288 1372 1380 1400 1470 1524 1587 1610 1680 1715 1725 1778 1840 1905 1932 1960 2032 2058 2100 2116 2254 2300 2352 2415 2450 2540 2576 2645 2667 2744 2760 2800 2921 2940 3048 3174 3175 3220 3381 3430 3450 3556 3675 3703 3810 3864 3920 4025 4116 4200 4232 4445 4508 4600 4830 4900 5080 5145 5290 5334 5488 5520 5635 5842 5880 6096 6223 6348 6350 6440 6762 6860 6900 7112 7350 7406 7620 7728 7889 7935 8050 8232 8400 8464 8575 8763 8890 9016 9200 9525 9660 9800 10160 10290 10580 10668 11109 11270 11684 11760 12075 12167 12446 12696 12700 12880 13225 13335 13524 13720 13800 14224 14605 14700 14812 15240 15778 15870 16100 16129 16464 16905 17150 17526 17780 18032 18515 18669 19050 19320 19600 20447 20580 21160 21336 22218 22225 22540 23368 23667 24150 24334 24892 25392 25400 25725 25921 26450 26670 27048 27440 27600 28175 29210 29400 29624 30480 31115 31556 31740 32200 32258 33810 34300 35052 35560 36501 37030 37338 38100 38640 39445 39675 40894 41160 42320 42672 43561 43815 44436 44450 45080 46736 47334 48300 48387 48668 49784 50800 51450 51842 52900 53340 54096 55545 56350 58420 58800 59248 60835 61341 62230 63112 63480 64400 64516 66675 67183 67620 68600 70104 71120 73002 73025 74060 74676 76200 77763 78890 79350 80645 81788 82320 84525 85169 87122 87630 88872 88900 90160 92575 93345 94668 96600 96774 97336 99568 102235 102900 103684 105800 106680 111090 112700 112903 116840 118335 121670 122682 124460 126224 126960 129032 129605 130683 133350 134366 135240 137200 140208 143129 146004 146050 148120 149352 152400 155526 155575 157780 158700 161290 163576 169050 170338 174244 175260 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3317463284415 3364482449076 3365542462450 3433145356200 3511870395600 3538627503376 3633412168645 3657046140300 3791386610760 3846334242800 4005336248900 4038650954940 4152471049880 4205603061345 4360094602374 4423284379220 4485976598768 4644448598181 4739233263450 4806403498680 4876061520400 4982965259856 5048313693675 5086777036103 5190588812350 5307941255064 5384867939920 5416266586800 5529105474025 5607470748460 5769501364200 5813459469832 6008004373350 6192598130908 6228706574820 6318977684600 6634926568830 6728964898152 6731084924900 6866290712400 7009338435575 7266824337290 7314092280600 7582773221520 7740747663635 7785883218525 8010672497800 8077301909880 8304942099760 8411206122690 8720189204748 8846568758440 9288897196362 9478466526900 9612806997360 10096627387350 10173554072206 10381177624700 10615882510128 10900236505935 11058210948050 11214941496920 11539002728400 11626918939664 12016008746700 12385196261816 12457413149640 12637955369200 13269853137660 13457929796304 13462169849800 14018676871150 14533648674580 14628184561200 15260331108309 15481495327270 15571766437050 16021344995600 16154603819760 16587316422075 16822412245380 17440378409496 17693137516880 18167060843225 18577794392724 18956933053800 20193254774700 20347108144412 20762355249400 21028015306725 21800473011870 22116421896100 22429882993840 23222242990905 24032017493400 24770392523632 24914826299280 25433885180515 26539706275320 26924339699600 28037353742300 29067297349160 30520662216618 30962990654540 31143532874100 33174632844150 33644824490760 34880756818992 35607439252721 36334121686450 37155588785448 37913866107600 38703738318175 40386509549400 40694216288824 41524710498800 42056030613450 43600946023740 44232843792200 46444485981810 48064034986800 50867770361030 53079412550640 54501182529675 56074707484600 58134594698320 61041324433236 61925981309080 62287065748200 66349265688300 67289648981520 71214878505442 72668243372900 74311177570896 76301655541545 77407476636350 80773019098800 81388432577648 84112061226900 87201892047480 88465687584400 92888971963620 101735540722060 106822317758163 109002365059350 112149414969200 116111214954525 122082648866472 123851962618160 124574131496400 127169425902575 132698531376600 142429757010884 145336486745800 152603311083090 154814953272700 168224122453800 174403784094960 178037196263605 185777943927240 203471081444120 213644635516326 218004730118700 232222429909050 244165297732944 254338851805150 265397062753200 284859514021768 290672973491600 305206622166180 309629906545400 336448244907600 356074392527210 371555887854480 381508277707725 406942162888240 427289271032652 436009460237400 464444859818100 508677703610300 534111588790815 569719028043536 610413244332360 619259813090800 712148785054420 763016555415450 854578542065304 872018920474800 890185981318025 928889719636200 1017355407220600 1068223177581630 1220826488664720 1424297570108840 1526033110830900 1709157084130608 1780371962636050 1857779439272400 2034710814441200 2136446355163260 2670557943954075 2848595140217680 3052066221661800 3560743925272100 4272892710326520 5341115887908150 6104132443323600 7121487850544200 8545785420653040 10682231775816300 14242975701088400 21364463551632600 42728927103265200
- Sum of all divisors σ(n): 168200819883532800
- Sum of proper divisors (its aliquot sum) s(n): 125471892780267600
- 42728927103265200 is an abundant number, because the sum of its proper divisors (125471892780267600) is greater than itself. Its abundance is 82742965677002400
Bases of 42728927103265200
- Binary: 100101111100110110111011100110011001111110101001101100002
- Hexadecimal: 0x97CDBB999FA9B0
- Base-36: BOQ524H2UUO
Squares and roots of 42728927103265200
- 42728927103265200 squared (427289271032652002) is 1825761211396151395544501531040000
- 42728927103265200 cubed (427289271032652003) is 78012817709715317708234984262378453583151808000000
-
The
square root of 42728927103265200 is 206709765.3795417571 -
The
cube root of 42728927103265200 is 349602.0704788503
Scales and comparisons
How big is 42728927103265200?- 42,728,927,103,265,200 seconds is equal to 1,358,647,712 years, 32 weeks, 6 days, 21 hours, 40 minutes.
-
To count from 1 to 42,728,927,103,265,200 would take you about four billion, seventy-five million, nine hundred forty-three thousand, one hundred thirty-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 42728927103265200 cubic inches would be around 29133.5 feet tall.
Recreational maths with 42728927103265200
- 42728927103265200 backwards is 00256230172982724
- 42728927103265200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42728927103265200's digits is 60
- More coming soon!
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Cite this page
MLA style:
"Number 42728927103265200 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 42728927103265200 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/42728927103265200/
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The information we have on file for 42728927103265200 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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