42738151440384
42,738,151,440,384 is an even composite number composed of five prime numbers multiplied together.
What does the number 42738151440384 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1200 divisors.
42738151440384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 42738151440384:
214 × 34 × 23 × 313 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 23 × 31 × 31 × 31 × 47)See below for interesting mathematical facts about the number 42738151440384 from the Numbermatics database.
Names of 42738151440384
- Cardinal: 42738151440384 can be written as Forty-two trillion, seven hundred thirty-eight billion, one hundred fifty-one million, four hundred forty thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 4.2738151440384 × 1013
Factors of 42738151440384
Divisors of 42738151440384
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 31 32 36 46 47 48 54 62 64 69 72 81 92 93 94 96 108 124 128 138 141 144 162 184 186 188 192 207 216 248 256 276 279 282 288 324 368 372 376 384 414 423 432 496 512 552 558 564 576 621 648 713 736 744 752 768 828 837 846 864 961 992 1024 1081 1104 1116 1128 1152 1242 1269 1296 1426 1457 1472 1488 1504 1536 1656 1674 1692 1728 1863 1922 1984 2048 2139 2162 2208 2232 2256 2304 2484 2511 2538 2592 2852 2883 2914 2944 2976 3008 3072 3243 3312 3348 3384 3456 3726 3807 3844 3968 4096 4278 4324 4371 4416 4464 4512 4608 4968 5022 5076 5184 5704 5766 5828 5888 5952 6016 6144 6417 6486 6624 6696 6768 6912 7452 7614 7688 7936 8192 8556 8648 8649 8742 8832 8928 9024 9216 9729 9936 10044 10152 10368 11408 11532 11656 11776 11904 12032 12288 12834 12972 13113 13248 13392 13536 13824 14904 15228 15376 15872 16384 17112 17296 17298 17484 17664 17856 18048 18432 19251 19458 19872 20088 20304 20736 22103 22816 23064 23312 23552 23808 24064 24576 25668 25944 25947 26226 26496 26784 27072 27648 29187 29791 29808 30456 30752 31744 33511 34224 34592 34596 34968 35328 35712 36096 36864 38502 38916 39339 39744 40176 40608 41472 44206 45167 45632 46128 46624 47104 47616 48128 49152 51336 51888 51894 52452 52992 53568 54144 55296 57753 58374 59582 59616 60912 61504 63488 66309 67022 68448 69184 69192 69936 70656 71424 72192 73728 77004 77832 77841 78678 79488 80352 81216 82944 87561 88412 89373 90334 91264 92256 93248 94208 95232 96256 100533 102672 103776 103788 104904 105984 107136 108288 110592 115506 116748 118017 119164 119232 121824 123008 126976 132618 134044 135501 136896 138368 138384 139872 141312 142848 144384 147456 154008 155664 155682 157356 158976 160704 162432 165888 175122 176824 178746 180668 182528 184512 186496 188416 190464 192512 198927 201066 205344 207552 207576 209808 211968 214272 216576 221184 231012 233496 236034 238328 238464 243648 246016 253952 265236 268088 268119 271002 273792 276736 276768 279744 282624 285696 288768 301599 308016 311328 311364 314712 317952 321408 324864 331776 350244 353648 357492 361336 365056 369024 372992 376832 380928 385024 397854 402132 406503 410688 415104 415152 419616 423936 428544 433152 442368 462024 466992 472068 476656 476928 487296 492032 507904 530472 536176 536238 542004 547584 553472 553536 559488 565248 571392 577536 596781 603198 616032 622656 622728 629424 635904 642816 649728 663552 685193 700488 707296 714984 722672 730112 738048 745984 761856 770048 795708 804264 804357 813006 821376 830208 830304 839232 847872 857088 866304 904797 924048 933984 944136 953312 953856 974592 984064 1038841 1060944 1072352 1072476 1084008 1095168 1106944 1107072 1118976 1130496 1142784 1155072 1193562 1206396 1219509 1232064 1245312 1245456 1258848 1271808 1285632 1299456 1327104 1370386 1400177 1400976 1414592 1429968 1445344 1460224 1476096 1491968 1523712 1591416 1608528 1608714 1626012 1642752 1660416 1660608 1678464 1695744 1714176 1732608 1790343 1809594 1848096 1867968 1888272 1906624 1907712 1949184 1968128 2055579 2077682 2121888 2144704 2144952 2168016 2190336 2213888 2214144 2237952 2285568 2310144 2387124 2412792 2413071 2439018 2464128 2490624 2490912 2517696 2543616 2571264 2598912 2714391 2740772 2800354 2801952 2829184 2859936 2890688 2920448 2952192 2983936 3116523 3182832 3217056 3217428 3252024 3285504 3320832 3321216 3356928 3391488 3428352 3465216 3580686 3619188 3658527 3696192 3735936 3776544 3813248 3815424 3898368 3936256 4111158 4155364 4200531 4243776 4289408 4289904 4336032 4380672 4427776 4428288 4475904 4571136 4774248 4825584 4826142 4878036 4928256 4981248 4981824 5035392 5087232 5142528 5197824 5428782 5481544 5600708 5603904 5658368 5719872 5781376 5840896 5904384 5967872 6166737 6233046 6365664 6434112 6434856 6504048 6571008 6641664 6642432 6713856 6856704 6930432 7161372 7238376 7317054 7392384 7471872 7553088 7626496 7630848 7796736 7872512 8222316 8310728 8401062 8487552 8578816 8579808 8672064 8761344 8855552 8856576 8951808 9349569 9548496 9651168 9652284 9756072 9856512 9962496 9963648 10070784 10174464 10285056 10395648 10857564 10963088 11201416 11207808 11316736 11439744 11562752 11681792 11808768 11935744 12333474 12466092 12601593 12731328 12868224 12869712 13008096 13142016 13283328 13284864 13427712 13713408 14322744 14476752 14634108 14784768 14943744 15106176 15252992 15261696 15593472 15745024 16444632 16621456 16802124 16975104 17157632 17159616 17344128 17522688 17711104 17713152 17903616 18500211 18699138 19096992 19302336 19304568 19512144 19713024 19924992 19927296 20141568 20570112 20791296 21715128 21926176 22402832 22415616 22633472 22879488 23125504 23617536 23871488 24666948 24932184 25203186 25462656 25736448 25739424 26016192 26284032 26566656 26569728 26855424 28048707 28645488 28953504 29268216 29569536 29887488 30212352 30505984 30523392 31186944 32204071 32889264 33242912 33604248 33950208 34315264 34319232 34688256 35045376 35426304 35807232 37000422 37398276 37804779 38193984 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4637386224 4736054016 4786979328 4839011712 4888829952 4941398016 4941969408 4995108864 5217059502 5385351744 5559072768 5613101056 5735124992 6183181632 6314738688 6382639104 6452015616 6589292544 6660145152 6956079336 7104081024 7180468992 7258517568 7333244928 7412097024 7492663296 8244242176 8419651584 8510185472 8602687488 9274772448 9472108032 9573958656 9678023424 9777659904 9883938816 9990217728 10434119004 10770703488 11118145536 11226202112 11470249984 12366363264 12629477376 12765278208 12904031232 13178585088 13912158672 14208162048 14360937984 14517035136 14666489856 14824194048 14985326592 16488484352 16839303168 17020370944 17205374976 18549544896 18944216064 19147917312 19356046848 19767877632 19980435456 20868238008 21541406976 22236291072 22940499968 24732726528 25258954752 25530556416 25808062464 27824317344 28416324096 28721875968 29034070272 29332979712 29970653184 32976968704 33678606336 34410749952 37099089792 37888432128 38295834624 38712093696 39535755264 41736476016 43082813952 44472582144 49465453056 50517909504 51061112832 51616124928 55648634688 56832648192 57443751936 58068140544 59941306368 65953937408 68821499904 74198179584 75776864256 76591669248 77424187392 83472952032 86165627904 98930906112 101035819008 103232249856 111297269376 113665296384 114887503872 116136281088 131907874816 148396359168 151553728512 153183338496 154848374784 166945904064 172331255808 197861812224 206464499712 222594538752 227330592768 229775007744 232272562176 263815749632 296792718336 303107457024 309696749568 333891808128 344662511616 395723624448 445189077504 454661185536 459550015488 464545124352 527631499264 593585436672 619393499136 667783616256 689325023232 791447248896 890378155008 909322371072 929090248704 1187170873344 1335567232512 1378650046464 1582894497792 1780756310016 1858180497408 2374341746688 2671134465024 3561512620032 4748683493376 5342268930048 7123025240064 10684537860096 14246050480128 21369075720192 42738151440384
- Sum of all divisors σ(n): 140604616728576
- Sum of proper divisors (its aliquot sum) s(n): 97866465288192
- 42738151440384 is an abundant number, because the sum of its proper divisors (97866465288192) is greater than itself. Its abundance is 55128313847808
Bases of 42738151440384
- Binary: 10011011011110110000000101010111000000000000002
- Hexadecimal: 0x26DEC055C000
- Base-36: F5DMVWG00
Squares and roots of 42738151440384
- 42738151440384 squared (427381514403842) is 1826549588541196973906067456
- 42738151440384 cubed (427381514403843) is 78063352928444759991667058907363466543104
-
The
square root of 42738151440384 is 6537442.2705201765 -
The
cube root of 42738151440384 is 34962.7226078281
Scales and comparisons
How big is 42738151440384?- 42,738,151,440,384 seconds is equal to 1,358,941 years, 6 days, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 42,738,151,440,384 would take you about three million, three hundred ninety-seven thousand, three hundred fifty-two 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 42738151440384 cubic inches would be around 2913.6 feet tall.
Recreational maths with 42738151440384
- 42738151440384 backwards is 48304415183724
- 42738151440384 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42738151440384's digits is 54
- More coming soon!
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The information we have on file for 42738151440384 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 42738151440384, math, Factors of 42738151440384, curriculum, school, college, exams, university, Prime factorization of 42738151440384, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, seven hundred thirty-eight billion, one hundred fifty-one million, four hundred forty thousand, three hundred eighty-four.