48042114348096
48,042,114,348,096 is an even composite number composed of seven prime numbers multiplied together.
48042114348096 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred sixty-eight divisors.
Prime factorization of 48042114348096:
26 × 36 × 11 × 23 × 59 × 101 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 23 × 59 × 101 × 683)See below for interesting mathematical facts about the number 48042114348096 from the Numbermatics database.
Names of 48042114348096
- Cardinal: 48042114348096 can be written as Forty-eight trillion, forty-two billion, one hundred fourteen million, three hundred forty-eight thousand and ninety-six.
Scientific notation
- Scientific notation: 4.8042114348096 × 1013
Factors of 48042114348096
Divisors of 48042114348096
- Number of divisors d(n): 1568
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 32 33 36 44 46 48 54 59 64 66 69 72 81 88 92 96 99 101 108 118 132 138 144 162 176 177 184 192 198 202 207 216 236 243 253 264 276 288 297 303 324 352 354 368 396 404 414 432 472 486 506 528 531 552 576 594 606 621 648 649 683 704 708 729 736 759 792 808 828 864 891 909 944 972 1012 1056 1062 1104 1111 1188 1212 1242 1296 1298 1357 1366 1416 1458 1472 1518 1584 1593 1616 1656 1728 1782 1818 1863 1888 1944 1947 2024 2049 2112 2124 2208 2222 2277 2323 2376 2424 2484 2592 2596 2673 2714 2727 2732 2832 2916 3036 3168 3186 3232 3312 3333 3564 3636 3726 3776 3888 3894 4048 4071 4098 4248 4416 4444 4554 4646 4752 4779 4848 4968 5184 5192 5346 5428 5454 5464 5589 5664 5832 5841 5959 6072 6147 6336 6372 6464 6624 6666 6831 6969 7128 7272 7452 7513 7776 7788 8019 8096 8142 8181 8196 8496 8888 9108 9292 9504 9558 9696 9936 9999 10384 10692 10856 10908 10928 11178 11328 11664 11682 11918 12144 12213 12294 12744 13248 13332 13662 13938 14256 14337 14544 14904 14927 15026 15552 15576 15709 16038 16192 16284 16362 16392 16767 16992 17523 17776 17877 18216 18441 18584 19008 19116 19392 19872 19998 20493 20768 20907 21384 21712 21816 21856 22356 22539 23328 23364 23836 24288 24426 24543 24588 25488 25553 26664 27324 27876 28512 28674 29088 29808 29854 29997 30052 31152 31418 32076 32568 32724 32784 33534 33984 35046 35552 35754 36432 36639 36882 37168 38232 39744 39996 40297 40986 41536 41814 42768 43011 43424 43632 43712 44712 44781 45078 46656 46728 47127 47672 48576 48852 49086 49176 50976 51106 52569 53328 53631 54648 55323 55752 57024 57348 58176 59616 59708 59994 60104 61479 62304 62721 62836 64152 65136 65448 65549 65568 67068 67617 68983 70092 71104 71508 72864 73278 73629 73764 74336 76464 76659 79992 80594 81972 83628 85536 86022 86848 87264 89424 89562 89991 90156 93456 94254 95344 97704 98172 98352 101952 102212 105138 106656 107262 109296 109917 110646 111504 114696 119232 119416 119988 120208 120891 122958 124608 125442 125672 128304 130272 130896 131098 131136 134136 134343 135234 137057 137966 140184 141381 143016 145728 146556 147258 147528 148672 152928 153318 157707 159984 160893 161188 163944 165969 167256 171072 172044 172799 174528 178848 179124 179982 180312 184437 186912 188163 188508 190688 195408 196344 196647 196704 202851 204424 206949 210276 213312 214524 218592 219834 221292 223008 229392 229977 238832 239976 240416 241782 245916 250884 251344 256608 260544 261792 262196 268272 268686 269973 270468 274114 275932 280368 282762 286032 293112 294516 295056 305856 306636 315414 319968 321786 322376 327888 329751 331938 334512 344088 345598 357696 358248 359964 360624 362673 368874 373824 376326 377016 381376 390816 392688 393294 393408 403029 405702 408848 411171 413898 420552 424143 429048 437184 439668 442584 443267 446016 458784 459954 473121 477664 479952 480832 482679 483564 491832 497907 501768 502688 513216 518397 523584 524392 536544 537372 539946 540936 548228 551864 560736 564489 565524 572064 586224 589032 589941 590112 608553 613272 620847 630828 639936 643572 644752 655776 659502 663876 669024 688176 689931 691196 716496 719928 721248 725346 737748 752652 754032 758813 781632 785376 786588 806058 809919 811404 817696 822342 827796 841104 848286 858096 879336 885168 886534 917568 919908 926831 946242 955328 959904 965358 967128 983664 989253 995814 1003536 1005376 1036794 1048784 1073088 1074744 1079892 1081872 1088019 1096456 1103728 1121472 1128978 1131048 1144128 1172448 1178064 1179882 1180224 1209087 1217106 1226544 1233513 1241694 1261656 1272429 1287144 1289504 1311552 1319004 1327752 1329801 1338048 1376352 1379862 1382392 1432992 1439856 1442496 1448037 1450692 1475496 1505304 1507627 1508064 1517626 1555191 1570752 1573176 1586609 1612116 1619838 1622808 1635392 1644684 1655592 1682208 1693467 1696572 1716192 1758672 1769823 1770336 1773068 1825659 1839816 1853662 1862541 1892484 1919808 1930716 1934256 1967328 1978506 1991628 2007072 2069793 2073588 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553174677 558486368 561659586 574474032 586079568 596100384 600586488 626698944 628297164 646283286 651294864 652489024 655614432 659339514 671842512 675659799 685415088 696434112 710503488 716319472 732706722 732919104 734050152 737566236 748879448 764563536 765965376 771091974 781439424 799316424 800781984 804617712 805859406 825806421 837729552 842489379 861711048 868393152 879119352 895790016 900879732 913886784 940048416 942445746 976942296 978733536 983421648 989009271 1007763768 1019418048 1028122632 1029709241 1065755232 1072823616 1074479208 1099060083 1101075228 1106349354 1116972736 1123319172 1148948064 1156637961 1172159136 1192200768 1201172976 1208789109 1256594328 1292566572 1302589728 1311228864 1318679028 1343685024 1351319598 1370830176 1413668619 1432638944 1465413444 1468100304 1475132472 1497758896 1529127072 1542183948 1598632848 1601563968 1609235424 1611718812 1651612842 1675459104 1684978758 1723422096 1758238704 1801759464 1880096832 1884891492 1953884592 1957467072 1966843296 1978018542 2015527536 2056245264 2059418482 2131510464 2148958416 2198120166 2202150456 2212698708 2246638344 2297896128 2313275922 2344318272 2402345952 2417578218 2477419263 2513188656 2527468137 2585133144 2605179456 2637358056 2687370048 2702639196 2741660352 2827337238 2865277888 2930826888 2936200608 2950264944 2967027813 2995517792 3058254144 3084367896 3089127723 3197265696 3218470848 3223437624 3303225684 3350918208 3369957516 3446844192 3516477408 3603518928 3626367327 3769782984 3907769184 3933686592 3956037084 4031055072 4112490528 4118836964 4241005857 4297916832 4396240332 4404300912 4425397416 4493276688 4626551844 4804691904 4835156436 4954838526 5026377312 5054936274 5170266288 5274716112 5405278392 5654674476 5861653776 5872401216 5900529888 5934055626 5991035584 6168735792 6178255446 6394531392 6446875248 6606451368 6739915032 6893688384 7032954816 7207037856 7252734654 7432257789 7539565968 7582404411 7815538368 7912074168 8062110144 8224981056 8237673928 8482011714 8595833664 8792480664 8808601824 8850794832 8986553376 9253103688 9267383169 9670312872 9909677052 10052754624 10109872548 10340532576 10549432224 10810556784 10879101981 11309348952 11723307552 11801059776 11868111252 12337471584 12356510892 12723017571 12893750496 13212902736 13479830064 14414075712 14505469308 14864515578 15079131936 15164808822 15824148336 16475347856 16964023428 17584961328 17617203648 17701589664 17973106752 18506207376 18534766338 19340625744 19819354104 20219745096 20681065152 21098864448 21621113568 21758203962 22618697904 22747213233 23446615104 23736222504 24674943168 24713021784 25446035142 25787500992 26425805472 26959660128 27802149507 29010938616 29729031156 30158263872 30329617644 31648296672 32637305943 32950695712 33928046856 35169922656 35403179328 37012414752 37069532676 38681251488 39638708208 40439490192 43242227136 43516407924 45237395808 45494426466 47472445008 49426043568 50892070284 52851610944 53919320256 55604299014 58021877232 59458062312 60659235288 63296593344 65274611886 65901391424 67856093712 68241639699 70339845312 74024829504 74139065352 77362502976 79277416416 80878980384 83406448521 87032815848 90474791616 90988852932 94944890016 98852087136 101784140568 111208598028 116043754464 118916124624 121318470576 130549223772 135712187424 136483279398 148278130704 158554832832 161757960768 166812897042 174065631696 181977705864 189889780032 197704174272 203568281136 222417196056 232087508928 237832249248 242636941152 250219345563 261098447544 271424374848 272966558796 296556261408 333625794084 348131263392 363955411728 407136562272 444834392112 475664498496 485273882304 500438691126 522196895088 545933117592 593112522816 667251588168 696262526784 727910823456 750658036689 814273124544 889668784224 1000877382252 1044393790176 1091866235184 1334503176336 1455821646912 1501316073378 1779337568448 2001754764504 2088787580352 2183732470368 2669006352672 3002632146756 4003509529008 4367464940736 5338012705344 6005264293512 8007019058016 12010528587024 16014038116032 24021057174048 48042114348096
- Sum of all divisors σ(n): 167349297853440
- Sum of proper divisors (its aliquot sum) s(n): 119307183505344
- 48042114348096 is an abundant number, because the sum of its proper divisors (119307183505344) is greater than itself. Its abundance is 71265069157248
Bases of 48042114348096
- Binary: 10101110110001101011010010100011110100010000002
- Hexadecimal: 0x2BB1AD28F440
- Base-36: H128QH000
Squares and roots of 48042114348096
- 48042114348096 squared (480421143480962) is 2308044751035531551058825216
- 48042114348096 cubed (480421143480963) is 110883349849771770483029292530519446388736
-
The
square root of 48042114348096 is 6931241.9051780323 -
The
cube root of 48042114348096 is 36353.0374787237
Scales and comparisons
How big is 48042114348096?- 48,042,114,348,096 seconds is equal to 1,527,590 years, 32 weeks, 6 days, 3 hours, 21 minutes, 36 seconds.
-
To count from 1 to 48,042,114,348,096 would take you about three million, eight hundred eighteen thousand, nine hundred seventy-six 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 48042114348096 cubic inches would be around 3029.4 feet tall.
Recreational maths with 48042114348096
- 48042114348096 backwards is 69084341124084
- 48042114348096 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48042114348096's digits is 54
- More coming soon!
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"Number 48042114348096 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 48042114348096 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/48042114348096/
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The information we have on file for 48042114348096 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!
Keywords: Divisors of 48042114348096, math, Factors of 48042114348096, curriculum, school, college, exams, university, Prime factorization of 48042114348096, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, forty-two billion, one hundred fourteen million, three hundred forty-eight thousand and ninety-six.