146138488708380672
146,138,488,708,380,672 is an even composite number composed of five prime numbers multiplied together.
146138488708380672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 146138488708380672:
211 × 3 × 72 × 532 × 5573
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 53 × 53 × 557 × 557 × 557)See below for interesting mathematical facts about the number 146138488708380672 from the Numbermatics database.
Names of 146138488708380672
- Cardinal: 146138488708380672 can be written as One hundred forty-six quadrillion, one hundred thirty-eight trillion, four hundred eighty-eight billion, seven hundred eight million, three hundred eighty thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.46138488708380672 × 1017
Factors of 146138488708380672
Divisors of 146138488708380672
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 53 56 64 84 96 98 106 112 128 147 159 168 192 196 212 224 256 294 318 336 371 384 392 424 448 512 557 588 636 672 742 768 784 848 896 1024 1113 1114 1176 1272 1344 1484 1536 1568 1671 1696 1792 2048 2226 2228 2352 2544 2597 2688 2809 2968 3072 3136 3342 3392 3584 3899 4452 4456 4704 5088 5194 5376 5618 5936 6144 6272 6684 6784 7168 7791 7798 8427 8904 8912 9408 10176 10388 10752 11236 11697 11872 12544 13368 13568 14336 15582 15596 16854 17808 17824 18816 19663 20352 20776 21504 22472 23394 23744 25088 26736 27136 27293 29521 31164 31192 33708 35616 35648 37632 39326 40704 41552 43008 44944 46788 47488 50176 53472 54272 54586 58989 59042 62328 62384 67416 71232 71296 75264 78652 81408 81879 83104 88563 89888 93576 94976 100352 106944 108544 109172 117978 118084 124656 124768 134832 137641 142464 142592 150528 157304 162816 163758 166208 177126 179776 187152 189952 206647 213888 218344 235956 236168 249312 249536 269664 275282 284928 285184 301056 310249 314608 325632 327516 332416 354252 359552 374304 379904 412923 413294 427776 436688 471912 472336 498624 499072 539328 550564 569856 570368 619941 620498 629216 655032 664832 708504 719104 748608 759808 825846 826588 855552 873376 930747 943824 944672 997248 998144 1078656 1101128 1139712 1140736 1239882 1240996 1258432 1310064 1329664 1417008 1438208 1446529 1497216 1564613 1651692 1653176 1711104 1746752 1861494 1887648 1889344 1994496 1996288 2157312 2171743 2202256 2279424 2479764 2481992 2516864 2620128 2659328 2834016 2876416 2893058 2994432 3129226 3303384 3306352 3422208 3493504 3722988 3775296 3778688 3988992 3992576 4314624 4339587 4343486 4404512 4693839 4959528 4963984 5033728 5240256 5318656 5668032 5752832 5786116 5988864 6258452 6515229 6606768 6612704 6987008 7445976 7550592 7557376 7977984 7985152 8629248 8679174 8686972 8809024 9387678 9919056 9927968 10067456 10480512 10952291 11336064 11572232 11977728 12516904 13030458 13213536 13225408 13974016 14891952 15101184 15114752 15202201 15955968 16443197 17258496 17358348 17373944 17618048 18775356 19838112 19855936 20134912 20961024 21904582 22672128 23144464 23955456 25033808 26060916 26427072 26450816 27948032 29783904 30202368 30229504 30404402 32856873 32886394 34716696 34747888 35236096 37550712 39676224 39711872 40269824 41922048 43809164 45344256 45606603 46288928 49329591 50067616 52121832 52854144 52901632 55896064 59567808 60404736 60459008 60808804 65713746 65772788 69433392 69495776 70472192 75101424 76666037 79352448 79423744 83844096 87618328 90688512 91213206 92577856 98659182 100135232 104243664 105708288 105803264 115102379 119135616 120809472 121617608 131427492 131545576 138866784 138991552 140944384 150202848 153332074 158704896 158847488 167688192 172808693 175236656 181377024 182426412 185155712 197318364 200270464 208487328 211416576 211606528 229998111 230204758 238271232 243235216 262854984 263091152 277733568 277983104 281888768 300405696 306664148 317409792 317694976 345307137 345617386 350473312 364852824 370311424 394636728 400540928 416974656 422833152 423213056 459996222 460409516 476542464 486470432 518426079 525709968 526182304 555467136 555966208 600811392 613328296 634819584 635389952 690614274 691234772 700946624 729705648 740622848 789273456 801081856 805716653 833949312 845666304 871489441 919992444 920819032 953084928 972940864 1036852158 1051419936 1052364608 1110934272 1111932416 1201622784 1209660851 1226656592 1269639168 1381228548 1382469544 1401893248 1459411296 1481245696 1578546912 1602163712 1611433306 1667898624 1742978882 1839984888 1841638064 1906169856 1945881728 2073704316 2102839872 2104729216 2221868544 2223864832 2403245568 2417149959 2419321702 2453313184 2614468323 2762457096 2764939088 2803786496 2918822592 2962491392 3157093824 3204327424 3222866612 3335797248 3485957764 3628982553 3679969776 3683276128 3891763456 4147408632 4205679744 4209458432 4443737088 4447729664 4806491136 4834299918 4838643404 4906626368 5228936646 5524914192 5529878176 5607572992 5837645184 6100426087 6314187648 6445733224 6671594496 6971915528 7257965106 7359939552 7366552256 7783526912 8294817264 8411359488 8418916864 8467625957 8887474176 9158860729 9612982272 9668599836 9677286808 9813252736 10457873292 11049828384 11059756352 11215145984 11675290368 12200852174 12628375296 12891466448 13343188992 13943831056 14515930212 14719879104 14733104512 15567053824 16589634528 16822718976 16837833728 16935251914 18301278261 18317721458 19337199672 19354573616 19626505472 20915746584 22099656768 22119512704 22430291968 23350580736 24401704348 25256750592 25402877871 25782932896 27476582187 27887662112 29031860424 29439758208 29466209024 31134107648 33179269056 33645437952 33675667456 33870503828 36602556522 36635442916 38674399344 38709147232 39253010944 41831493168 42702982609 44199313536 44239025408 46701161472 48803408696 50513501184 50805755742 51565865792 54953164374 55775324224 58063720848 58879516416 58932418048 64112025103 66358538112 67290875904 67741007656 73205113044 73270885832 77348798688 77418294464 78506021888 83662986336 85405965218 88398627072 88478050816 93402322944 97606817392 101027002368 101611511484 103131731584 109906328748 111550648448 116127441696 117759032832 117864836096 128108947827 128224050206 132717076224 135482015312 146410226088 146541771664 154697597376 154836588928 157012043776 167325972672 170811930436 176797254144 176956101632 192336075309 195213634784 203223022968 206263463168 219812657496 223101296896 232254883392 235518065664 235729672192 256217895654 256448100412 265434152448 270964030624 292820452176 293083543328 309395194752 309673177856 334651945344 341623860872 353594508288 353912203264 384672150618 390427269568 406446045936 412526926336 439625314992 446202593792 448784175721 464509766784 471036131328 485419618637 512435791308 512896200824 530868304896 541928061248 585640904352 586167086656 618790389504 619346355712 669303890688 683247721744 707189016576 769344301236 780854539136 812892091872 825053852672 879250629984 892405187584 897568351442 929019533568 970839237274 1024871582616 1025792401648 1061736609792 1083856122496 1171281808704 1172334173312 1237580779008 1238692711424 1338607781376 1346352527163 1366495443488 1456258855911 1538688602472 1561709078272 1625784183744 1650107705344 1758501259968 1784810375168 1795136702884 1858039067136 1941678474548 2049743165232 2051584803296 2167712244992 2342563617408 2344668346624 2475161558016 2477385422848 2677215562752 2692705054326 2732990886976 2912517711822 3077377204944 3123418156544 3251568367488 3397937330459 3517002519936 3590273405768 3716078134272 3883356949096 4099486330464 4103169606592 4335424489984 4685127234816 4689336693248 4950323116032 5354431125504 5385410108652 5465981773952 5825035423644 6154754409888 6246836313088 6503136734976 6795874660918 7034005039872 7180546811536 7432156268544 7766713898192 8198972660928 8206339213184 8670848979968 9370254469632 9378673386496 10193811991377 10770820217304 10931963547904 11650070847288 12309508819776 12493672626176 13006273469952 13591749321836 14068010079744 14361093623072 15533427796384 16397945321856 16412678426368 17341697959936 18740508939264 18757346772992 20387623982754 21541640434608 21863927095808 23300141694576 23785561313213 24619017639552 26012546939904 27183498643672 28136020159488 28722187246144 31066855592768 32795890643712 32825356852736 37481017878528 40775247965508 43083280869216 43727854191616 46600283389152 47571122626426 49238035279104 52025093879808 54366997287344 56272040318976 57444374492288 62133711185536 65591781287424 65650713705472 71356683939639 81550495931016 86166561738432 87455708383232 93200566778304 95142245252852 98476070558208 108733994574688 114888748984576 124267422371072 131183562574848 131301427410944 142713367879278 163100991862032 172333123476864 186401133556608 190284490505704 196952141116416 217467989149376 229777497969152 248534844742144 262367125149696 285426735758556 326201983724064 344666246953728 372802267113216 380568981011408 393904282232832 434935978298752 459554995938304 497069689484288 570853471517112 652403967448128 689332493907456 745604534226432 761137962022816 869871956597504 919109991876608 994139378968576 1141706943034224 1304807934896256 1378664987814912 1491209068452864 1522275924045632 1739743913195008 2283413886068448 2609615869792512 2757329975629824 2982418136905728 3044551848091264 3479487826390016 4566827772136896 5219231739585024 6089103696182528 6958975652780032 9133655544273792 10438463479170048 12178207392365056 18267311088547584 20876926958340096 24356414784730112 36534622177095168 48712829569460224 73069244354190336 146138488708380672
- Sum of all divisors σ(n): 462760296035310000
- Sum of proper divisors (its aliquot sum) s(n): 316621807326929328
- 146138488708380672 is an abundant number, because the sum of its proper divisors (316621807326929328) is greater than itself. Its abundance is 170483318618548656
Bases of 146138488708380672
- Binary: 10000001110011000000101110011000110111100110111000000000002
- Hexadecimal: 0x207302E6379B800
- Base-36: 13YXRQWH07PC
Squares and roots of 146138488708380672
- 146138488708380672 squared (1461384887083806722) is 21356457881969505170811048463171584
- 146138488708380672 cubed (1461384887083806723) is 3121000479035207933739763112509224265691045925224448
-
The
square root of 146138488708380672 is 382280641.2942992227 -
The
cube root of 146138488708380672 is 526730.1813733505
Scales and comparisons
How big is 146138488708380672?- 146,138,488,708,380,672 seconds is equal to 4,646,751,904 years, 46 weeks, 6 days, 51 minutes, 12 seconds.
-
To count from 1 to 146,138,488,708,380,672 would take you about thirteen billion, nine hundred forty million, two hundred fifty-five thousand, seven hundred fourteen 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 146138488708380672 cubic inches would be around 43894.2 feet tall.
Recreational maths with 146138488708380672
- 146138488708380672 backwards is 276083807884831641
- 146138488708380672 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 146138488708380672's digits is 84
- More coming soon!
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The information we have on file for 146138488708380672 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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