42084964648832512
42,084,964,648,832,512 is an even composite number composed of six prime numbers multiplied together.
What does the number 42084964648832512 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
42084964648832512 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 42084964648832512:
29 × 11 × 43 × 712 × 127 × 5212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 43 × 71 × 71 × 127 × 521 × 521)See below for interesting mathematical facts about the number 42084964648832512 from the Numbermatics database.
Names of 42084964648832512
- Cardinal: 42084964648832512 can be written as Forty-two quadrillion, eighty-four trillion, nine hundred sixty-four billion, six hundred forty-eight million, eight hundred thirty-two thousand, five hundred twelve.
Scientific notation
- Scientific notation: 4.2084964648832512 × 1016
Factors of 42084964648832512
Divisors of 42084964648832512
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 8 11 16 22 32 43 44 64 71 86 88 127 128 142 172 176 254 256 284 344 352 473 508 512 521 568 688 704 781 946 1016 1042 1136 1376 1397 1408 1562 1892 2032 2084 2272 2752 2794 2816 3053 3124 3784 4064 4168 4544 5041 5461 5504 5588 5632 5731 6106 6248 7568 8128 8336 9017 9088 10082 10922 11008 11176 11462 12212 12496 15136 16256 16672 18034 18176 20164 21844 22016 22352 22403 22924 24424 24992 30272 32512 33344 33583 36068 36352 36991 40328 43688 44704 44806 45848 48848 49984 55451 60071 60544 65024 66167 66688 67166 72136 73982 80656 87376 89408 89612 91696 97696 99187 99968 110902 120142 121088 132334 133376 134332 144272 147964 161312 174752 178816 179224 183392 195392 198374 199936 216763 221804 240284 242176 246433 264668 266752 268664 271441 288544 295928 322624 349504 357632 358448 366784 387731 390784 396748 399872 406901 433526 443608 480568 492866 529336 537328 542882 577088 591856 640207 645248 699008 715264 716896 727837 733568 775462 781568 793496 813802 867052 887216 961136 985732 1058672 1074656 1085764 1154176 1183712 1280414 1290496 1398016 1433792 1455674 1467136 1550924 1563136 1586992 1590613 1627604 1734104 1774432 1922272 1971464 2117344 2149312 2171528 2308352 2367424 2384393 2560828 2580992 2626361 2796032 2845181 2867584 2911348 2934272 2985851 3101848 3173984 3181226 3255208 3468208 3548864 3844544 3942928 4234688 4265041 4298624 4343056 4616704 4697857 4734848 4768786 5121656 5252722 5690362 5735168 5822696 5971702 6203696 6347968 6362452 6510416 6936416 7042277 7097728 7689088 7885856 8469376 8530082 8597248 8686112 9395714 9469696 9537572 10243312 10505444 11380724 11470336 11645392 11671963 11943404 12407392 12695936 12724904 13020832 13872832 14084554 14195456 15378176 15771712 16938752 17060164 17194496 17372224 17496743 18791428 18939392 19075144 19272311 20486624 21010888 22761448 23290784 23343926 23886808 24814784 25391872 25449808 26041664 27528901 27745664 28169108 28390912 28889971 30756352 31296991 31543424 33877504 34120328 34473007 34744448 34993486 37582856 38150288 38544622 40973248 42021776 45522896 46581568 46687852 47773616 49629568 50783744 50899616 51676427 52083328 55057802 55491328 56338216 57779942 62593982 63086848 68240656 68946014 69488896 69986972 75165712 76300576 77089244 81946496 84043552 91045792 93163136 93375704 95547232 99259136 101799232 103352854 104166656 110115604 110982656 112676432 112933523 115559884 125187964 126173696 128391593 136481312 137892028 138977792 139973944 150331424 152601152 154178488 163892992 168087104 182091584 186326272 186751408 191094464 198518272 202007851 203598464 206705708 208333312 211995421 220231208 225352864 225867046 231119768 250375928 256783186 272962624 275784056 279947888 300662848 302817911 305202304 308356976 327785984 333547847 336174208 364183168 372652544 373502816 379203077 382188928 404015702 407196928 413411416 423990842 440462416 450705728 451734092 462239536 500751856 513566372 545925248 551568112 559895776 601325696 605635822 610404608 616713952 667095694 672348416 728366336 747005632 758406154 764377856 808031404 814393856 826822832 828709373 847981684 880924832 901411456 903468184 924479072 1001503712 1027132744 1091850496 1103136224 1119791552 1202651392 1211271644 1220809216 1233427904 1242268753 1334191388 1344696832 1368334081 1456732672 1482339301 1494011264 1516812308 1528755712 1616062808 1653645664 1657418746 1695963368 1761849664 1802822912 1806936368 1848958144 2003007424 2054265488 2183700992 2206272448 2222086361 2239583104 2405302784 2422543288 2447583497 2466855808 2484537506 2668382776 2736668162 2964678602 2988022528 3033624616 3232125616 3307291328 3314837492 3391926736 3523699328 3605645824 3613872736 3669026317 3697916288 4006014848 4108530976 4412544896 4444172722 4479166208 4845086576 4895166994 4933711616 4969075012 5336765552 5473336324 5929357204 5976045056 6067249232 6464251232 6614582656 6629674984 6783853472 7047398656 7227745472 7338052634 7395832576 8012029696 8217061952 8825089792 8888345444 8958332416 9115803103 9690173152 9790333988 9867423232 9938150024 10673531104 10946672648 11858714408 12134498464 12928502464 13229165312 13259349968 13567706944 14094797312 14342557421 14455490944 14676105268 14791665152 15051674891 16024059392 16305732311 16434123904 17650179584 17776690888 18231606206 19380346304 19580667976 19876300048 21347062208 21893345296 23717428816 24268996928 25857004928 26458330624 26518699936 26923418467 27135413888 28685114842 28910981888 29352210536 30103349782 32611464622 32868247808 35553381776 36463212412 38760692608 39161335952 39752600096 42694124416 43786690592 47434857632 48537993856 51714009856 53037399872 53846836934 54270827776 57370229684 57821963776 58704421072 58838365483 60206699564 65222929244 65736495616 71106763552 72926424824 77521385216 78322671904 79505200192 85388248832 87573381184 94869715264 97075987712 103428019712 105246090371 106074799744 107693673868 108541655552 114740459368 117408842144 117676730966 120413399128 130445858488 142213527104 145852849648 155042770432 156645343808 157768131631 159010400384 170776497664 173778428287 175146762368 189739430528 194151975424 210492180742 212149599488 215387347736 229480918736 234817684288 235353461932 240826798256 260891716976 284427054208 291705699296 313290687616 315536263262 318020800768 347556856574 350293524736 379478861056 420984361484 424299198976 430774695472 458961837472 469635368576 470706923864 481653596512 521783433952 568854108416 583411398592 626581375232 631072526524 636041601536 647222020313 695113713148 700587049472 758957722112 841968722968 861549390944 917923674944 939270737152 941413847728 963307193024 1043566867904 1137708216832 1157706994081 1166822797184 1253162750464 1262145053048 1294444040626 1390227426296 1683937445936 1723098781888 1835847349888 1878541474304 1882827695456 1911562711157 1926614386048 2087133735808 2315413988162 2333645594368 2524290106096 2588888081252 2780454852592 3367874891872 3446197563776 3671694699776 3765655390912 3823125422314 3853228772096 4174267471616 4630827976324 4667291188736 5048580212192 5177776162504 5560909705184 6735749783744 6892395127552 7343389399552 7472472416341 7531310781824 7646250844628 7706457544192 8348534943232 9261655952648 10097160424384 10355552325008 11121819410368 13471499567488 13784790255104 14944944832682 15062621563648 15292501689256 18523311905296 20194320848768 20711104650016 22243638820736 26942999134976 29889889665364 30125243127296 30585003378512 37046623810592 40388641697536 41422209300032 44487277641472 53885998269952 59779779330728 61170006757024 74093247621184 80777283395072 82197196579751 82844418600064 88974555282944 119559558661456 122340013514048 148186495242368 164394393159502 165688837200128 239119117322912 244680027028096 296372990484736 328788786319004 331377674400256 478238234645824 489360054056192 592745980969472 657577572638008 956476469291648 978720108112384 1315155145276016 1912952938583296 2630310290552032 3825905877166592 5260620581104064 10521241162208128 21042482324416256 42084964648832512
- Sum of all divisors σ(n): 96140226688247808
- Sum of proper divisors (its aliquot sum) s(n): 54055262039415296
- 42084964648832512 is an abundant number, because the sum of its proper divisors (54055262039415296) is greater than itself. Its abundance is 11970297390582784
Bases of 42084964648832512
- Binary: 100101011000010000001101011010000100011101001110000000002
- Hexadecimal: 0x95840D68474E00
- Base-36: BIDVHUUBT34
Squares and roots of 42084964648832512
- 42084964648832512 squared (420849646488325122) is 1771144249493482240082764628230144
- 42084964648832512 cubed (420849646488325123) is 74538543127916190821733315859826255594126445641728
-
The
square root of 42084964648832512 is 205146203.1060592453 -
The
cube root of 42084964648832512 is 347836.9029431795
Scales and comparisons
How big is 42084964648832512?- 42,084,964,648,832,512 seconds is equal to 1,338,171,698 years, 25 weeks, 3 days, 9 hours, 1 minute, 52 seconds.
-
To count from 1 to 42,084,964,648,832,512 would take you about four billion, fourteen million, five hundred fifteen thousand and ninety-five 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 42084964648832512 cubic inches would be around 28986.4 feet tall.
Recreational maths with 42084964648832512
- 42084964648832512 backwards is 21523884646948024
- The number of decimal digits it has is: 17
- The sum of 42084964648832512's digits is 76
- More coming soon!
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The information we have on file for 42084964648832512 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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