42138119462400
42,138,119,462,400 is an even composite number composed of six prime numbers multiplied together.
42138119462400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42138119462400:
29 × 33 × 52 × 13 × 1093 × 8581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 1093 × 8581)See below for interesting mathematical facts about the number 42138119462400 from the Numbermatics database.
Names of 42138119462400
- Cardinal: 42138119462400 can be written as Forty-two trillion, one hundred thirty-eight billion, one hundred nineteen million, four hundred sixty-two thousand, four hundred.
Scientific notation
- Scientific notation: 4.21381194624 × 1013
Factors of 42138119462400
Divisors of 42138119462400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 117 120 128 130 135 144 150 156 160 180 192 195 200 208 216 225 234 240 256 260 270 288 300 312 320 325 351 360 384 390 400 416 432 450 468 480 512 520 540 576 585 600 624 640 650 675 702 720 768 780 800 832 864 900 936 960 975 1040 1080 1093 1152 1170 1200 1248 1280 1300 1350 1404 1440 1536 1560 1600 1664 1728 1755 1800 1872 1920 1950 2080 2160 2186 2304 2340 2400 2496 2560 2600 2700 2808 2880 2925 3120 3200 3279 3328 3456 3510 3600 3744 3840 3900 4160 4320 4372 4608 4680 4800 4992 5200 5400 5465 5616 5760 5850 6240 6400 6558 6656 6912 7020 7200 7488 7680 7800 8320 8581 8640 8744 8775 9360 9600 9837 9984 10400 10800 10930 11232 11520 11700 12480 12800 13116 13824 14040 14209 14400 14976 15600 16395 16640 17162 17280 17488 17550 18720 19200 19674 19968 20800 21600 21860 22464 23040 23400 24960 25743 26232 27325 28080 28418 28800 29511 29952 31200 32790 33280 34324 34560 34976 35100 37440 38400 39348 41600 42627 42905 43200 43720 44928 46800 49185 49920 51486 52464 54650 56160 56836 57600 59022 59904 62400 65580 68648 69120 69952 70200 71045 74880 77229 78696 81975 83200 85254 85810 86400 87440 89856 93600 98370 99840 102972 104928 109300 111553 112320 113672 115200 118044 124800 127881 128715 131160 137296 139904 140400 142090 147555 149760 154458 157392 163950 166400 170508 171620 172800 174880 179712 187200 196740 205944 209856 213135 214525 218600 223106 224640 227344 231687 236088 245925 249600 255762 257430 262320 274592 279808 280800 284180 295110 299520 308916 314784 327900 334659 341016 343240 345600 349760 355225 374400 383643 386145 393480 411888 419712 426270 429050 437200 446212 449280 454688 463374 472176 491850 499200 511524 514860 524640 549184 557765 559616 561600 568360 590220 617832 629568 639405 643575 655800 669318 682032 686480 699520 710450 737775 748800 767286 772290 786960 823776 839424 852540 858100 874400 892424 898560 909376 926748 944352 983700 1003977 1023048 1029720 1049280 1065675 1098368 1115530 1123200 1136720 1158435 1180440 1235664 1259136 1278810 1287150 1311600 1338636 1364064 1372960 1399040 1420900 1475550 1497600 1534572 1544580 1573920 1647552 1673295 1678848 1705080 1716200 1748800 1784848 1818752 1853496 1888704 1918215 1930725 1967400 2007954 2046096 2059440 2098560 2131350 2196736 2231060 2246400 2273440 2316870 2360880 2471328 2518272 2557620 2574300 2623200 2677272 2728128 2745920 2788825 2798080 2841800 2951100 3011931 3069144 3089160 3147840 3197025 3295104 3346590 3410160 3432400 3497600 3569696 3637504 3706992 3777408 3836430 3861450 3934800 4015908 4092192 4118880 4197120 4262700 4393472 4462120 4492800 4546880 4633740 4721760 4942656 5019885 5036544 5115240 5148600 5246400 5354544 5456256 5491840 5577650 5683600 5792175 5902200 6023862 6138288 6178320 6295680 6394050 6590208 6693180 6820320 6864800 6995200 7139392 7275008 7413984 7554816 7672860 7722900 7869600 8031816 8184384 8237760 8366475 8394240 8525400 8924240 9093760 9267480 9379033 9443520 9591075 9885312 10039770 10230480 10297200 10492800 10709088 10912512 10983680 11155300 11367200 11584350 11804400 12047724 12276576 12356640 12591360 12788100 13180416 13386360 13640640 13729600 13990400 14278784 14827968 15059655 15109632 15345720 15445800 15739200 16063632 16368768 16475520 16732950 17050800 17848480 18187520 18534960 18758066 18887040 19182150 19770624 20079540 20460960 20594400 20985600 21418176 21825024 21967360 22310600 22734400 23168700 23608800 24095448 24553152 24713280 25099425 25182720 25576200 26772720 27281280 27459200 28137099 28557568 29655936 30119310 30691440 30891600 31478400 32127264 32737536 32951040 33465900 34101600 35696960 36375040 37069920 37516132 37774080 38364300 39541248 40159080 40921920 41188800 41971200 42836352 44621200 45468800 46337400 46895165 47217600 48190896 49106304 49426560 50198850 51152400 53545440 54562560 54918400 56274198 57115136 59311872 60238620 61382880 61783200 62956800 64254528 65475072 65902080 66931800 68203200 71393920 74139840 75032264 75298275 75548160 76728600 80318160 81843840 82377600 84411297 85672704 89242400 90937600 92674800 93790330 94435200 96381792 98212608 98853120 100397700 102304800 107090880 109125120 109836800 112548396 118623744 120477240 121927429 122765760 123566400 125913600 128509056 133863600 136406400 140685495 142787840 148279680 150064528 150596550 153457200 160636320 163687680 164755200 168822594 171345408 178484800 181875200 185349600 187580660 188870400 192763584 196425216 197706240 200795400 204609600 214181760 225096792 234475825 240954480 243854858 245531520 247132800 253233891 257018112 267727200 272812800 281370990 285575680 296559360 300129056 301193100 306914400 321272640 327375360 329510400 337645188 356969600 365782287 370699200 375161320 377740800 385527168 401590800 409219200 422056485 428363520 450193584 468951650 481908960 487709716 491063040 494265600 506467782 514036224 535454400 545625600 562741980 593118720 600258112 602386200 609637145 613828800 642545280 675290376 703427475 713939200 731564574 741398400 750322640 771054336 803181600 818438400 844112970 856727040 900387168 937903300 963817920 975419432 982126080 988531200 1012935564 1070908800 1097346861 1125483960 1200516224 1204772400 1219274290 1227657600 1266169455 1285090560 1350580752 1406854950 1427878400 1463129148 1482796800 1500645280 1542108672 1606363200 1636876800 1688225940 1800774336 1828911435 1875806600 1927635840 1950838864 2025871128 2110282425 2141817600 2194693722 2250967920 2401032448 2409544800 2438548580 2455315200 2532338910 2570181120 2701161504 2813709900 2926258296 2965593600 3001290560 3048185725 3212726400 3292040583 3376451880 3601548672 3657822870 3751613200 3855271680 3901677728 4051742256 4220564850 4283635200 4389387444 4501935840 4802064896 4819089600 4877097160 4910630400 5064677820 5402323008 5486734305 5627419800 5852516592 6002581120 6096371450 6330847275 6425452800 6584081166 6752903760 7203097344 7315645740 7503226400 7710543360 7803355456 8103484512 8441129700 8778774888 9003871680 9144557175 9638179200 9754194320 10129355640 10804646016 10973468610 11254839600 11705033184 12005162240 12192742900 12661694550 12850905600 13168162332 13505807520 14406194688 14631291480 15006452800 15606710912 16206969024 16460202915 16882259400 17557549776 18007743360 18289114350 19276358400 19508388640 20258711280 21609292032 21946937220 22509679200 23410066368 24010324480 24385485800 25323389100 26336324664 27011615040 27433671525 29262582960 30012905600 31213421824 32413938048 32920405830 33764518800 35115099552 36015486720 36578228700 38552716800 39016777280 40517422560 43218584064 43893874440 45019358400 46820132736 48770971600 50646778200 52672649328 54023230080 54867343050 58525165920 60025811200 62426843648 64827876096 65840811660 67529037600 70230199104 72030973440 73156457400 78033554560 81034845120 82301014575 87787748880 90038716800 93640265472 97541943200 101293556400 105345298656 108046460160 109734686100 117050331840 120051622400 129655752192 131681623320 135058075200 140460398208 146312914800 156067109120 162069690240 164602029150 175575497760 180077433600 187280530944 195083886400 202587112800 210690597312 216092920320 219469372200 234100663680 263363246640 270116150400 280920796416 292625829600 312134218240 324139380480 329204058300 351150995520 360154867200 390167772800 405174225600 421381194624 438938744400 468201327360 526726493280 540232300800 561841592832 585251659200 648278760960 658408116600 702301991040 780335545600 810348451200 842762389248 877877488800 936402654720 1053452986560 1080464601600 1170503318400 1316816233200 1404603982080 1560671091200 1620696902400 1685524778496 1755754977600 2106905973120 2341006636800 2633632466400 2809207964160 3241393804800 3511509955200 4213811946240 4682013273600 5267264932800 7023019910400 8427623892480 10534529865600 14046039820800 21069059731200 42138119462400
- Sum of all divisors σ(n): 166736694210240
- Sum of proper divisors (its aliquot sum) s(n): 124598574747840
- 42138119462400 is an abundant number, because the sum of its proper divisors (124598574747840) is greater than itself. Its abundance is 82460455285440
Bases of 42138119462400
- Binary: 10011001010011000010111010010001011110000000002
- Hexadecimal: 0x26530BA45E00
- Base-36: EXPZGCQO0
Squares and roots of 42138119462400
- 42138119462400 squared (421381194624002) is 1775621111827493665013760000
- 42138119462400 cubed (421381194624003) is 74821334530146437637129026219802624000000
-
The
square root of 42138119462400 is 6491388.0998134751 -
The
cube root of 42138119462400 is 34798.3284809511
Scales and comparisons
How big is 42138119462400?- 42,138,119,462,400 seconds is equal to 1,339,861 years, 44 weeks, 4 days.
-
To count from 1 to 42,138,119,462,400 would take you about three million, three hundred forty-nine thousand, six hundred fifty-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 42138119462400 cubic inches would be around 2899.9 feet tall.
Recreational maths with 42138119462400
- 42138119462400 backwards is 00426491183124
- 42138119462400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42138119462400's digits is 45
- More coming soon!
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The information we have on file for 42138119462400 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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