42120869973820416
42,120,869,973,820,416 is an even composite number composed of four prime numbers multiplied together.
What does the number 42120869973820416 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 693 divisors.
42120869973820416 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred ninety-three divisors.
Prime factorization of 42120869973820416:
210 × 36 × 292 × 81912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 29 × 29 × 8191 × 8191)See below for interesting mathematical facts about the number 42120869973820416 from the Numbermatics database.
Names of 42120869973820416
- Cardinal: 42120869973820416 can be written as Forty-two quadrillion, one hundred twenty trillion, eight hundred sixty-nine billion, nine hundred seventy-three million, eight hundred twenty thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.2120869973820416 × 1016
Factors of 42120869973820416
Divisors of 42120869973820416
- Number of divisors d(n): 693
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 243 256 261 288 324 348 384 432 464 486 512 522 576 648 696 729 768 783 841 864 928 972 1024 1044 1152 1296 1392 1458 1536 1566 1682 1728 1856 1944 2088 2304 2349 2523 2592 2784 2916 3072 3132 3364 3456 3712 3888 4176 4608 4698 5046 5184 5568 5832 6264 6728 6912 7047 7424 7569 7776 8191 8352 9216 9396 10092 10368 11136 11664 12528 13456 13824 14094 14848 15138 15552 16382 16704 18792 20184 20736 21141 22272 22707 23328 24573 25056 26912 27648 28188 29696 30276 31104 32764 33408 37584 40368 41472 42282 44544 45414 46656 49146 50112 53824 56376 60552 62208 65528 66816 68121 73719 75168 80736 82944 84564 89088 90828 93312 98292 100224 107648 112752 121104 124416 131056 133632 136242 147438 150336 161472 169128 181656 186624 196584 200448 204363 215296 221157 225504 237539 242208 248832 262112 267264 272484 294876 300672 322944 338256 363312 373248 393168 400896 408726 430592 442314 451008 475078 484416 524224 544968 589752 601344 613089 645888 663471 676512 712617 726624 746496 786336 801792 817452 861184 884628 902016 950156 968832 1048448 1089936 1179504 1202688 1226178 1291776 1326942 1353024 1425234 1453248 1572672 1634904 1769256 1804032 1900312 1937664 1990413 2096896 2137851 2179872 2359008 2405376 2452356 2583552 2653884 2706048 2850468 2906496 3145344 3269808 3538512 3608064 3800624 3875328 3980826 4193792 4275702 4359744 4718016 4904712 5307768 5412096 5700936 5812992 5971239 6290688 6413553 6539616 6888631 7077024 7216128 7601248 7750656 7961652 8387584 8551404 8719488 9436032 9809424 10615536 10824192 11401872 11625984 11942478 12581376 12827106 13079232 13777262 14154048 15202496 15923304 17102808 17438976 18872064 19240659 19618848 20665893 21231072 21648384 22803744 23251968 23884956 25162752 25654212 26158464 27554524 28308096 30404992 31846608 34205616 34877952 37744128 38481318 39237696 41331786 42462144 45607488 47769912 51308424 52316928 55109048 56616192 57721977 60809984 61997679 63693216 67092481 68411232 69755904 75488256 76962636 78475392 82663572 84924288 91214976 95539824 102616848 104633856 110218096 113232384 115443954 121619968 123995358 127386432 134184962 136822464 153925272 156950784 165327144 169848576 173165931 182429952 185993037 191079648 201277443 205233696 209267712 220436192 226464768 230887908 243239936 247990716 254772864 268369924 273644928 307850544 313901568 330654288 339697152 346331862 364859904 371986074 382159296 402554886 410467392 440872384 461775816 495981432 509545728 536739848 547289856 557979111 603832329 615701088 627803136 661308576 679394304 692663724 729719808 743972148 764318592 805109772 820934784 881744768 923551632 991962864 1019091456 1073479696 1094579712 1115958222 1207664658 1231402176 1322617152 1385327448 1487944296 1528637184 1610219544 1641869568 1673937333 1763489536 1811496987 1847103264 1945681949 1983925728 2038182912 2146959392 2189159424 2231916444 2415329316 2462804352 2645234304 2770654896 2975888592 3057274368 3220439088 3283739136 3347874666 3526979072 3622993974 3694206528 3891363898 3967851456 4293918784 4463832888 4830658632 4925608704 5021811999 5290468608 5434490961 5541309792 5837045847 5951777184 6114548736 6440878176 6567478272 6695749332 7053958144 7245987948 7388413056 7782727796 7935702912 8587837568 8927665776 9661317264 9851217408 10043623998 10580937216 10868981922 11082619584 11674091694 11903554368 12881756352 13391498664 14491975896 14776826112 15565455592 15871405824 16303472883 17175675136 17511137541 17855331552 19322634528 19702434816 20087247996 21161874432 21737963844 22165239168 23348183388 23807108736 25763512704 26782997328 28983951792 29553652224 31130911184 31742811648 32606945766 34351350272 35022275082 35710663104 38645269056 40174495992 43475927688 44330478336 46696366776 47614217472 48910418649 51527025408 52533412623 53565994656 56424776521 57967903584 59107304448 62261822368 63485623296 65213891532 68702700544 70044550164 71421326208 77290538112 80348991984 86951855376 88660956672 93392733552 95228434944 97820837298 103054050816 105066825246 107131989312 112849553042 115935807168 124523644736 130427783064 140089100328 142842652416 154581076224 157600237869 160697983968 169274329563 173903710752 177321913344 186785467104 190456869888 195641674596 206108101632 210133650492 214263978624 225699106084 231871614336 249047289472 260855566128 280178200656 285685304832 309162152448 315200475738 321395967936 338548659126 347807421504 373570934208 391283349192 420267300984 428527957248 451398212168 463743228672 472800713607 498094578944 507822988689 521711132256 560356401312 571370609664 618324304896 630400951476 642791935872 677097318252 695614843008 747141868416 782566698384 840534601968 857055914496 902796424336 927486457344 945601427214 996189157888 1015645977378 1043422264512 1120712802624 1260801902952 1285583871744 1354194636504 1391229686016 1418402140821 1494283736832 1523468966067 1565133396768 1681069203936 1714111828992 1805592848672 1854972914688 1891202854428 1992378315776 2031291954756 2086844529024 2241425605248 2521603805904 2571167743488 2708389273008 2782459372032 2836804281642 2988567473664 3046937932134 3130266793536 3362138407872 3611185697344 3782405708856 4062583909512 4173689058048 4482851210496 4570406898201 5043207611808 5142335486976 5416778546016 5564918744064 5673608563284 5977134947328 6093875864268 6260533587072 6724276815744 7222371394688 7564811417712 8125167819024 8347378116096 8965702420992 9140813796402 10086415223616 10833557092032 11347217126568 12187751728536 12521067174144 13448553631488 13711220694603 14444742789376 15129622835424 16250335638048 16694756232192 17931404841984 18281627592804 20172830447232 21667114184064 22694434253136 24375503457072 25042134348288 26897107262976 27422441389206 28889485578752 30259245670848 32500671276096 36563255185608 40345660894464 41133662083809 43334228368128 45388868506272 48751006914144 50084268696576 53794214525952 54844882778412 57778971157504 60518491341696 65001342552192 73126510371216 80691321788928 82267324167618 86668456736256 90777737012544 97502013828288 109689765556824 121036982683392 130002685104384 146253020742432 161382643577856 164534648335236 173336913472512 181555474025088 195004027656576 219379531113648 242073965366784 260005370208768 292506041484864 329069296670472 363110948050176 390008055313152 438759062227296 484147930733568 520010740417536 585012082969728 658138593340944 726221896100352 780016110626304 877518124454592 1170024165939456 1316277186681888 1452443792200704 1560032221252608 1755036248909184 2340048331878912 2632554373363776 3510072497818368 4680096663757824 5265108746727552 7020144995636736 10530217493455104 14040289991273472 21060434986910208 42120869973820416
- Sum of all divisors σ(n): 130762445969944893
- Sum of proper divisors (its aliquot sum) s(n): 88641575996124477
- 42120869973820416 is an abundant number, because the sum of its proper divisors (88641575996124477) is greater than itself. Its abundance is 46520706022304061
Bases of 42120869973820416
- Binary: 100101011010010010110101010001000110101110000100000000002
- Hexadecimal: 0x95A4B5446B8400
- Base-36: BIQLOJ9S000
Squares and roots of 42120869973820416
- 42120869973820416 squared (421208699738204162) is 1774167687351486292049210618413056
- 42120869973820416 cubed (421208699738204163) is 74729486470685626413082861153245096560283453751296
-
42120869973820416 is a
perfect square number . Itssquare root is 205233696 -
The
cube root of 42120869973820416 is 347935.7953232097
Scales and comparisons
How big is 42120869973820416?- 42,120,869,973,820,416 seconds is equal to 1,339,313,376 years, 39 weeks, 4 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,120,869,973,820,416 would take you about four billion, seventeen million, nine hundred forty thousand, one hundred thirty 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 42120869973820416 cubic inches would be around 28994.6 feet tall.
Recreational maths with 42120869973820416
- 42120869973820416 backwards is 61402837996802124
- 42120869973820416 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42120869973820416's digits is 72
- More coming soon!
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The information we have on file for 42120869973820416 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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