42422947434709632
42,422,947,434,709,632 is an even composite number composed of six prime numbers multiplied together.
42422947434709632 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42422947434709632:
27 × 33 × 7 × 432 × 1273 × 463
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 43 × 43 × 127 × 127 × 127 × 463)See below for interesting mathematical facts about the number 42422947434709632 from the Numbermatics database.
Names of 42422947434709632
- Cardinal: 42422947434709632 can be written as Forty-two quadrillion, four hundred twenty-two trillion, nine hundred forty-seven billion, four hundred thirty-four million, seven hundred nine thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 4.2422947434709632 × 1016
Factors of 42422947434709632
Divisors of 42422947434709632
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 43 48 54 56 63 64 72 84 86 96 108 112 126 127 128 129 144 168 172 189 192 216 224 252 254 258 288 301 336 344 378 381 384 387 432 448 463 504 508 516 576 602 672 688 756 762 774 864 889 896 903 926 1008 1016 1032 1143 1152 1161 1204 1344 1376 1389 1512 1524 1548 1728 1778 1806 1849 1852 2016 2032 2064 2286 2322 2408 2667 2688 2709 2752 2778 3024 3048 3096 3241 3429 3456 3556 3612 3698 3704 4032 4064 4128 4167 4572 4644 4816 5334 5418 5461 5504 5547 5556 6048 6096 6192 6482 6858 7112 7224 7396 7408 8001 8064 8127 8128 8256 8334 9144 9288 9632 9723 10668 10836 10922 11094 11112 12096 12192 12384 12501 12943 12964 13716 14224 14448 14792 14816 16002 16129 16254 16256 16383 16512 16641 16668 18288 18576 19264 19446 19909 21336 21672 21844 22188 22224 24003 24192 24384 24768 25002 25886 25928 27432 28448 28896 29169 29584 29632 32004 32258 32508 32766 33282 33336 36576 37152 38227 38528 38829 38892 39818 42672 43344 43688 44376 44448 48006 48387 48768 49149 49536 49923 50004 51772 51856 54864 56896 57792 58338 58801 59168 59264 59727 64008 64516 65016 65532 66564 66672 73152 74304 76454 77658 77784 79636 85344 86688 87376 87507 88752 88896 96012 96774 98298 99846 100008 103544 103712 109728 112903 113792 114681 115584 116487 116676 117602 118336 119454 128016 129032 130032 131064 133128 133344 139363 145161 146304 147447 148608 152908 155316 155568 159272 170688 173376 174752 175014 176403 177504 177792 179181 192024 193548 196596 199692 200016 207088 207424 219456 225806 229362 232974 233352 234823 235204 236672 238908 256032 258064 260064 262128 266256 266688 278726 290322 294894 305816 310632 311136 318544 338709 341376 344043 346752 349461 349504 350028 352806 355008 358362 384048 387096 393192 399384 400032 411607 414176 414848 418089 435483 438912 451612 458724 465948 466704 469646 470408 477816 512064 516128 520128 524256 529209 532512 533376 537543 557452 580644 589788 611632 621264 622272 637088 677418 688086 693547 698922 699008 700056 704469 705612 710016 716724 768096 774192 786384 798768 800064 823214 828352 836178 856087 870966 903224 917448 931896 933408 939292 940816 955632 1016127 1024128 1032129 1032256 1040256 1048512 1058418 1065024 1075086 1114904 1161288 1179576 1223264 1234821 1242528 1244544 1254267 1274176 1354836 1376172 1387094 1397844 1400112 1408938 1411224 1433448 1536192 1548384 1572768 1587627 1597536 1600128 1643761 1646428 1656704 1672356 1712174 1741932 1806448 1834896 1863792 1866816 1878584 1881632 1911264 2032254 2048383 2064258 2064512 2080641 2097024 2113407 2116836 2130048 2150172 2229808 2322576 2359152 2446528 2469642 2485056 2508534 2528443 2548352 2568261 2709672 2752344 2774188 2795688 2800224 2817876 2822448 2866896 3048381 3072384 3096768 3145536 3175254 3195072 3287522 3292856 3344712 3424348 3483864 3612896 3669792 3704463 3727584 3733632 3757168 3762801 3763264 3822528 4064508 4096766 4128516 4161282 4226814 4233672 4300344 4459616 4645152 4718304 4854829 4893056 4931283 4939284 4970112 5017068 5056886 5136522 5419344 5504688 5548376 5591376 5600448 5635752 5644896 5733792 5992609 6096762 6145149 6193536 6241923 6291072 6340221 6350508 6390144 6575044 6585712 6689424 6848696 6967728 7225792 7339584 7408926 7455168 7467727 7514336 7525602 7526528 7585329 7645056 7704783 8129016 8193532 8257032 8322564 8453628 8467344 8600688 8919232 9290304 9436608 9709658 9862566 9878568 10034136 10113772 10273044 10838688 11009376 11096752 11113389 11182752 11200896 11271504 11289792 11467584 11985218 12193524 12290298 12483846 12680442 12701016 13150088 13171424 13378848 13697392 13935456 14338681 14451584 14564487 14679168 14793849 14817852 14910336 14935454 15028672 15051204 15170658 15409566 16258032 16387064 16514064 16645128 16907256 16934688 17201376 17699101 17838464 17977827 18435447 18580608 18725769 18873216 19419316 19725132 19757136 20068272 20227544 20546088 21677376 22018752 22193504 22226778 22365504 22403181 22543008 22579584 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15656119056 16518160512 16647208641 16778289024 16911450048 17071223922 17177772096 17340062094 17982286616 18265472232 19025381304 19730025056 19916427909 20040734112 20073250176 20230072443 20389364352 20548656261 20551184704 20710456704 20874825408 22196278188 22545825876 22582406448 22724761002 22761631896 23120082792 23484178584 24353962976 24777240768 25367175072 25606835883 25766658144 25808464512 26512221169 26555237212 26720978816 26973429924 27398208348 27615654446 29595037584 30061101168 30109875264 30299681336 30348842528 30584046528 30826777056 31312238112 33294417282 33822900096 34087141503 34142447844 34355544192 34680124188 35964573232 36530944464 38050762608 39460050112 39832855818 40081468224 40460144886 40781257147 41097312522 41102369408 41423481669 41749650816 44392556376 45091651752 45164812896 45449522004 45523263792 46240165584 46968357168 48707925952 49554481536 50734350144 51213671766 51533316288 53024442338 53110474424 53946859848 54796416696 55231308892 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5138438400522 5219358690294 5220000914816 5260782171963 5302205653632 5726639772504 5735931237792 5872501029168 5964981360336 6185906595904 6544731168576 6851251200696 6959144920392 7014376229284 7635519696672 7647908317056 7707657600783 7768347818112 7830001372224 7953308480448 8808751543752 9135001600928 9278859893856 10180692928896 10276876801044 10438717380588 10521564343926 11453279545008 11471862475584 11745002058336 11929962720672 12275158401247 12371813191808 13089462337152 13702502401392 13918289840784 14028752458568 15271039393344 15415315201566 15660002744448 15782346515889 15906616960896 17617503087504 18270003201856 18557719787712 20553753602088 20877434761176 21043128687852 22906559090016 22943724951168 23490004116672 23859925441344 24550316802494 27405004802784 27836579681568 28057504917136 30542078786688 30830630403132 31564693031778 35235006175008 36540006403712 36825475203741 37115439575424 41107507204176 41754869522352 42086257375704 45813118180032 46980008233344 47347039547667 47719850882688 49100633604988 54810009605568 55673159363136 56115009834272 61661260806264 63129386063556 70470012350016 73650950407482 82215014408352 83509739044704 84172514751408 91626236360064 94694079095334 98201267209976 109620019211136 110476425611223 111346318726272 112230019668544 123322521612528 126258772127112 140940024700032 147301900814964 164430028816704 167019478089408 168345029502816 189388158190668 196402534419952 220952851222446 224460039337088 246645043225056 252517544254224 294603801629928 328860057633408 331429276833669 334038956178816 336690059005632 378776316381336 392805068839904 441905702444892 493290086450112 505035088508448 589207603259856 662858553667338 673380118011264 757552632762672 785610137679808 883811404889784 986580172900224 1010070177016896 1178415206519712 1325717107334676 1515105265525344 1571220275359616 1767622809779568 2020140354033792 2356830413039424 2651434214669352 3030210531050688 3535245619559136 4713660826078848 5302868429338704 6060421062101376 7070491239118272 10605736858677408 14140982478236544 21211473717354816 42422947434709632
- Sum of all divisors σ(n): 147980022939648000
- Sum of proper divisors (its aliquot sum) s(n): 105557075504938368
- 42422947434709632 is an abundant number, because the sum of its proper divisors (105557075504938368) is greater than itself. Its abundance is 63134128070228736
Bases of 42422947434709632
- Binary: 100101101011011101110010001010000010101111000010100000002
- Hexadecimal: 0x96B772282BC280
- Base-36: BLPOH06KYO0
Squares and roots of 42422947434709632
- 42422947434709632 squared (424229474347096322) is 1799706469048136546423472153575424
- 42422947434709632 cubed (424229474347096323) is 76348852934335974025620827108604568897548051283968
-
The
square root of 42422947434709632 is 205968316.5797828041 -
The
cube root of 42422947434709632 is 348765.5763918361
Scales and comparisons
How big is 42422947434709632?- 42,422,947,434,709,632 seconds is equal to 1,348,918,505 years, 32 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 42,422,947,434,709,632 would take you about four billion, forty-six million, seven hundred fifty-five thousand, five hundred sixteen 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 42422947434709632 cubic inches would be around 29063.8 feet tall.
Recreational maths with 42422947434709632
- 42422947434709632 backwards is 23690743474922424
- 42422947434709632 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42422947434709632's digits is 72
- More coming soon!
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"Number 42422947434709632 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 42422947434709632 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/42422947434709632/
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The information we have on file for 42422947434709632 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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