3438005013008384
3,438,005,013,008,384 is an even composite number composed of six prime numbers multiplied together.
What does the number 3438005013008384 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 936 divisors.
3438005013008384 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 3438005013008384:
212 × 72 × 13 × 37 × 1132 × 2789
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 37 × 113 × 113 × 2789)See below for interesting mathematical facts about the number 3438005013008384 from the Numbermatics database.
Names of 3438005013008384
- Cardinal: 3438005013008384 can be written as Three quadrillion, four hundred thirty-eight trillion, five billion, thirteen million, eight thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 3.438005013008384 × 1015
Factors of 3438005013008384
Divisors of 3438005013008384
- Number of divisors d(n): 936
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 37 49 52 56 64 74 91 98 104 112 113 128 148 182 196 208 224 226 256 259 296 364 392 416 448 452 481 512 518 592 637 728 784 791 832 896 904 962 1024 1036 1184 1274 1456 1469 1568 1582 1664 1792 1808 1813 1924 2048 2072 2368 2548 2789 2912 2938 3136 3164 3328 3367 3584 3616 3626 3848 4096 4144 4181 4736 5096 5537 5578 5824 5876 6272 6328 6656 6734 7168 7232 7252 7696 8288 8362 9472 10192 10283 11074 11156 11648 11752 12544 12656 12769 13312 13468 14336 14464 14504 15392 16576 16724 18944 19523 20384 20566 22148 22312 23296 23504 23569 25088 25312 25538 26624 26936 28672 28928 29008 29267 30784 33152 33448 36257 37888 39046 40768 41132 44296 44624 46592 47008 47138 50176 50624 51076 53248 53872 54353 57856 58016 58534 61568 66304 66896 71981 72514 75776 78092 81536 82264 88592 89248 89383 93184 94016 94276 100352 101248 102152 103193 107744 108706 115712 116032 117068 123136 132608 133792 136661 143962 145028 151552 156184 163072 164528 165997 177184 178496 178766 186368 188032 188552 200704 202496 204304 204869 206386 215488 217412 231424 232064 234136 246272 253799 265216 267584 273322 287924 290056 312368 315157 326144 329056 331994 354368 356992 357532 372736 376064 377104 380471 404992 408608 409738 412772 430976 434824 462848 464128 468272 472453 492544 507598 530432 535168 546644 575848 580112 624736 625681 630314 652288 658112 663988 708736 713984 715064 722351 752128 754208 760942 809984 817216 819476 825544 861952 869648 928256 936544 944906 985088 1015196 1060864 1070336 1093288 1151696 1160224 1161979 1249472 1251362 1260628 1304576 1316224 1327976 1341509 1417472 1427968 1430128 1444702 1504256 1508416 1521884 1619968 1634432 1638952 1651088 1723904 1739296 1776593 1856512 1873088 1889812 1970176 2030392 2140672 2186576 2206099 2303392 2320448 2323958 2498944 2502724 2521256 2609152 2632448 2655952 2663297 2683018 2834944 2855936 2860256 2889404 3008512 3016832 3043768 3239936 3268864 3277904 3302176 3307171 3447808 3478592 3553186 3713024 3746176 3779624 4060784 4097041 4281344 4373152 4412198 4606784 4640896 4647916 4997888 5005448 5042512 5056457 5264896 5311904 5326594 5366036 5669888 5711872 5720512 5778808 6017024 6033664 6087536 6141889 6537728 6555808 6604352 6614342 6895616 6957184 7106372 7426048 7492352 7559248 8121568 8133853 8194082 8562688 8746304 8824396 9213568 9281792 9295832 9390563 9995776 10010896 10085024 10112914 10529792 10623808 10653188 10732072 11339776 11423744 11441024 11557616 11660809 12067328 12175072 12283778 13075456 13111616 13208704 13228684 13791232 13914368 14212744 14984704 15118496 15442693 16243136 16267706 16388164 17125376 17492608 17648792 18427136 18563584 18591664 18781126 19991552 20021792 20170048 20225828 21059584 21247616 21306376 21464144 22679552 22882048 23115232 23150197 23321618 24134656 24350144 24567556 26150912 26223232 26417408 26457368 27828736 28425488 28679287 29969408 30236992 30885386 32486272 32535412 32776328 34985216 35297584 35612741 36854272 37127168 37183328 37562252 39983104 40043584 40340096 40451656 42119168 42495232 42612752 42928288 42993223 45764096 46230464 46300394 46643236 48269312 48700288 49135112 52301824 52446464 52834816 52914736 55657472 56850976 57358574 59938816 60473984 61770772 64972544 65070824 65552656 65733941 69970432 70595168 71225482 73708544 74254336 74366656 75124504 79966208 80087168 80680192 80903312 81625663 84990464 85225504 85856576 85986446 91528192 92460928 92600788 93286472 96538624 97400576 98270224 104892928 105669632 105829472 111314944 113701952 114717148 119877632 120947968 123541544 129945088 130141648 131105312 131467882 139940864 141190336 142450964 147417088 148508672 148733312 150249008 151590517 160174336 161360384 161806624 163251326 169980928 170451008 171713152 171972892 183056384 184921856 185201576 186572944 194801152 196540448 200755009 209785856 211339264 211658944 222629888 227403904 229434296 241895936 247083088 249289187 259890176 260283296 262210624 262935764 279881728 282380672 284901928 294834176 297466624 300498016 300952561 303181034 320348672 322720768 323613248 326502652 339961856 340902016 343426304 343945784 366112768 369843712 370403152 373145888 389602304 393080896 401510018 419571712 422678528 423317888 454807808 458868592 462965633 483791872 494166176 498578374 519780352 520566592 524421248 525871528 559763456 564761344 569803856 571379641 594933248 600996032 601905122 606362068 640697344 645441536 647226496 653005304 679923712 681804032 686852608 687891568 739687424 740806304 746291776 779204608 786161792 803020036 839143424 846635776 909615616 917737184 925931266 967583744 988332352 997156748 1039560704 1041133184 1048842496 1051743056 1061133619 1129522688 1139607712 1142759282 1189866496 1201992064 1203810244 1212724136 1281394688 1290883072 1294452992 1306010608 1317671417 1363608064 1373705216 1375783136 1479374848 1481612608 1492583552 1558409216 1572323584 1606040072 1693271552 1745024309 1819231232 1835474368 1851862532 1935167488 1976664704 1994313496 2082266368 2097684992 2103486112 2122267238 2259045376 2279215424 2285518564 2379732992 2403984128 2407620488 2425448272 2562789376 2588905984 2612021216 2635342834 2727216128 2747410432 2751566272 2958749696 2963225216 2985167104 3144647168 3212080144 3240759431 3386543104 3490048618 3638462464 3670948736 3703725064 3953329408 3988626992 4164532736 4195369984 4206972224 4244534476 4518090752 4558430848 4571037128 4759465984 4807968256 4815240976 4850896544 5177811968 5224042432 5270685668 5454432256 5494820864 5503132544 5926450432 5970334208 6289294336 6424160288 6481518862 6773086208 6980097236 7276924928 7341897472 7407450128 7427935333 7906658816 7977253984 8329065472 8390739968 8413944448 8489068952 9036181504 9116861696 9142074256 9223699919 9615936512 9630481952 9701793088 10355623936 10448084864 10541371336 10908864512 11006265088 11852900864 11940668416 12578588672 12848320576 12963037724 13546172416 13960194472 14683794944 14814900256 14855870666 15813317632 15954507968 16658130944 16781479936 16827888896 16978137904 17129728421 18233723392 18284148512 18447399838 19231873024 19260963904 19403586176 20711247872 20896169728 21082742672 22012530176 22685316017 23705801728 23881336832 25157177344 25696641152 25926075448 27920388944 29367589888 29629800512 29711741332 31626635264 31909015936 33316261888 33655777792 33956275808 34259456842 36467446784 36568297024 36894799676 38463746048 38521927808 38807172352 41792339456 42165485344 44025060352 45370632034 47411603456 47762673664 51393282304 51852150896 55840777888 58735179776 59259601024 59423482664 63253270528 63818031872 64565899433 67311555584 67912551616 68518913684 72934893568 73136594048 73789599352 77043855616 77614344704 83584678912 84330970688 88050120704 90741264068 94823206912 102786564608 103704301792 111681555776 117470359552 118519202048 118846965328 119908098947 127636063744 129131798866 134623111168 135825103232 137037827368 145869787136 146273188096 147579198704 154087711232 155228689408 167169357824 168661941376 176100241408 181482528136 205573129216 207408603584 223363111552 237038404096 237693930656 239816197894 255272127488 258263597732 269246222336 271650206464 274075654736 292546376192 295158397408 308175422464 310457378816 334338715648 337323882752 362965056272 411146258432 414817207168 446726223104 474076808192 475387861312 479632395788 510544254976 516527195464 543300412928 548151309472 585092752384 590316794816 616350844928 620914757632 674647765504 725930112544 822292516864 829634414336 839356692629 893452446208 948153616384 950775722624 959264791576 1021088509952 1033054390928 1086600825856 1096302618944 1170185504768 1180633589632 1232701689856 1349295531008 1451860225088 1659268828672 1678713385258 1786904892416 1896307232768 1901551445248 1918529583152 2066108781856 2173201651712 2192605237888 2340371009536 2361267179264 2698591062016 2903720450176 3318537657344 3357426770516 3573809784832 3803102890496 3837059166304 4132217563712 4346403303424 4385210475776 4722534358528 5397182124032 5807440900352 6637075314688 6714853541032 7147619569664 7606205780992 7674118332608 8264435127424 8770420951552 9445068717056 11614881800704 13274150629376 13429707082064 15212411561984 15348236665216 16528870254848 17540841903104 18890137434112 23229763601408 26859414164128 30424823123968 30696473330432 33057740509696 35081683806208 37780274868224 46459527202816 53718828328256 61392946660864 66115481019392 70163367612416 92919054405632 107437656656512 122785893321728 132230962038784 214875313313024 245571786643456 264461924077568 429750626626048 491143573286912 859501253252096 1719002506504192 3438005013008384
- Sum of all divisors σ(n): 8927803521425880
- Sum of proper divisors (its aliquot sum) s(n): 5489798508417496
- 3438005013008384 is an abundant number, because the sum of its proper divisors (5489798508417496) is greater than itself. Its abundance is 2051793495409112
Bases of 3438005013008384
- Binary: 11000011011011011000111010111000100101010000000000002
- Hexadecimal: 0xC36D8EB895000
- Base-36: XUO5P633SW
Squares and roots of 3438005013008384
- 3438005013008384 squared (34380050130083842) is 11819878469470778637058054291456
- 3438005013008384 cubed (34380050130083843) is 40636801431190402272306941234144985796107567104
-
The
square root of 3438005013008384 is 58634503.6050309205 -
The
cube root of 3438005013008384 is 150927.6587682263
Scales and comparisons
How big is 3438005013008384?- 3,438,005,013,008,384 seconds is equal to 109,317,924 years, 50 weeks, 1 day, 14 hours, 19 minutes, 44 seconds.
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To count from 1 to 3,438,005,013,008,384 would take you about three hundred twenty-seven million, nine hundred fifty-three thousand, seven hundred seventy-four 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 3438005013008384 cubic inches would be around 12577.3 feet tall.
Recreational maths with 3438005013008384
- 3438005013008384 backwards is 4838003105008343
- The number of decimal digits it has is: 16
- The sum of 3438005013008384's digits is 50
- More coming soon!
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The information we have on file for 3438005013008384 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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