42505132068681984
42,505,132,068,681,984 is an even composite number composed of five prime numbers multiplied together.
What does the number 42505132068681984 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 729 divisors.
42505132068681984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty-nine divisors.
Prime factorization of 42505132068681984:
28 × 32 × 132 × 292 × 113932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 29 × 29 × 11393 × 11393)See below for interesting mathematical facts about the number 42505132068681984 from the Numbermatics database.
Names of 42505132068681984
- Cardinal: 42505132068681984 can be written as Forty-two quadrillion, five hundred five trillion, one hundred thirty-two billion, sixty-eight million, six hundred eighty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 4.2505132068681984 × 1016
Factors of 42505132068681984
Divisors of 42505132068681984
- Number of divisors d(n): 729
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 64 72 78 87 96 104 116 117 128 144 156 169 174 192 208 232 234 256 261 288 312 338 348 377 384 416 464 468 507 522 576 624 676 696 754 768 832 841 928 936 1014 1044 1131 1152 1248 1352 1392 1508 1521 1664 1682 1856 1872 2028 2088 2262 2304 2496 2523 2704 2784 3016 3042 3328 3364 3393 3712 3744 4056 4176 4524 4901 4992 5046 5408 5568 6032 6084 6728 6786 7424 7488 7569 8112 8352 9048 9802 9984 10092 10816 10933 11136 11393 12064 12168 13456 13572 14703 14976 15138 16224 16704 18096 19604 20184 21632 21866 22272 22786 24128 24336 26912 27144 29406 29952 30276 32448 32799 33408 34179 36192 39208 40368 43264 43732 44109 45572 48256 48672 53824 54288 58812 60552 64896 65598 66816 68358 72384 78416 80736 87464 88218 91144 96512 97344 98397 102537 107648 108576 117624 121104 129792 131196 136716 142129 144768 148109 156832 161472 174928 176436 182288 194688 196794 205074 215296 217152 235248 242208 262392 273432 284258 289536 296218 313664 322944 330397 349856 352872 364576 389376 393588 410148 426387 434304 444327 470496 484416 524784 546864 568516 592436 627328 645888 660794 699712 705744 729152 787176 820296 852774 868608 888654 940992 968832 991191 1049568 1093728 1137032 1184872 1254656 1279161 1321588 1332981 1399424 1411488 1458304 1574352 1640592 1705548 1777308 1881984 1925417 1937664 1982382 2099136 2187456 2274064 2369744 2558322 2643176 2665962 2798848 2822976 2916608 2973573 3148704 3281184 3411096 3554616 3763968 3850834 3964764 4198272 4295161 4374912 4548128 4739488 5116644 5286352 5331924 5645952 5776251 5947146 6297408 6562368 6822192 7109232 7701668 7929528 8396544 8590322 8749824 9096256 9478976 9581513 10233288 10572704 10663848 11291904 11552502 11894292 12594816 12885483 13124736 13644384 14218464 15403336 15859056 17180644 17328753 18192512 18957952 19163026 20466576 21145408 21327696 23105004 23788584 25189632 25770966 26249472 27288768 28436928 28744539 30806672 31718112 34361288 34657506 36385024 37915904 38326052 38656449 40933152 42290816 42655392 46210008 47577168 51541932 54577536 55837093 56873856 57489078 61613344 63436224 68722576 69315012 76652104 77312898 81866304 84581632 85310784 86233617 92420016 95154336 103083864 109155072 111674186 113747712 114978156 123226688 124559669 126872448 129800449 137445152 138630024 153304208 154625796 163732608 167511279 170621568 172467234 184840032 190308672 206167728 223348372 229956312 246453376 249119338 253744896 259600898 274890304 277260048 306608416 309251592 327465216 335022558 341243136 344934468 369680064 373679007 380617344 389401347 412335456 446696744 459912624 492906752 498238676 502533837 519201796 549780608 554520096 613216832 618503184 670045116 689868936 739360128 747358014 761234688 778802694 824670912 893393488 919825248 996477352 1005067674 1038403592 1099561216 1109040192 1121037021 1168204041 1226433664 1237006368 1340090232 1379737872 1478720256 1494716028 1557605388 1619275697 1649341824 1687405837 1786786976 1839650496 1992954704 2010135348 2076807184 2218080384 2242074042 2336408082 2452867328 2474012736 2680180464 2759475744 2989432056 3115210776 3238551394 3298683648 3374811674 3573573952 3679300992 3764213021 3985909408 4020270696 4153614368 4436160768 4484148084 4672816164 4857827091 4948025472 5062217511 5360360928 5518951488 5978864112 6230421552 6477102788 6749623348 7147147904 7358601984 7528426042 7971818816 8040541392 8307228736 8968296168 9345632328 9715654182 9896050944 10124435022 10720721856 11037902976 11292639063 11957728224 12460843104 12954205576 13499246696 14294295808 14573481273 15056852084 15186652533 15943637632 16081082784 16614457472 17936592336 18691264656 19431308364 20248870044 21441443712 21936275881 22075805952 22585278126 23915456448 24921686208 25908411152 26998493392 29146962546 30113704168 30373305066 31887275264 32162165568 33228914944 33877917189 35873184672 37382529312 38862616728 40497740088 42882887424 43872551762 45170556252 47830912896 48934769273 49843372416 51816822304 53996986784 58293925092 60227408336 60746610132 64324331136 65808827643 67755834378 71746369344 74765058624 77725233456 80995480176 87745103524 90341112504 95661825792 97869538546 99686744832 103633644608 107993973568 109162177609 116587850184 120454816672 121493220264 128648662272 131617655286 135511668756 143492738688 146804307819 149530117248 155450466912 161990960352 175490207048 180682225008 195739077092 197426482929 207267289216 215987947136 218324355218 233175700368 240909633344 242986440528 263235310572 271023337512 286985477376 293608615638 299060234496 310900933824 323981920704 327486532827 350980414096 361364450016 391478154184 394852965858 414534578432 431975894272 436648710436 440412923457 466351400736 481819266688 485972881056 526470621144 542046675024 587217231276 621801867648 636152000549 647963841408 654973065654 701960828192 722728900032 782956308368 789705931716 873297420872 880825846914 932702801472 963638533376 971945762112 982459598481 1052941242288 1084093350048 1174434462552 1243603735296 1272304001098 1295927682816 1309946131308 1403921656384 1419108308917 1445457800064 1565912616736 1579411863432 1746594841744 1761651693828 1865405602944 1908456001647 1943891524224 1964919196962 2105882484576 2168186700096 2348868925104 2544608002196 2619892262616 2807843312768 2838216617834 2890915600128 3131825233472 3158823726864 3493189683488 3523303387656 3730811205888 3816912003294 3887783048448 3929838393924 4211764969152 4257324926751 4336373400192 4697737850208 5089216004392 5239784525232 5615686625536 5676433235668 5725368004941 6263650466944 6317647453728 6986379366976 7046606775312 7633824006588 7859676787848 8423529938304 8514649853502 8672746800384 9395475700416 10178432008784 10479569050464 11352866471336 11450736009882 12527300933888 12635294907456 12771974780253 13972758733952 14093213550624 15267648013176 15719353575696 16847059876608 17029299707004 18448408015921 18790951400832 20356864017568 20959138100928 22705732942672 22901472019764 25270589814912 25543949560506 27945517467904 28186427101248 30535296026352 31438707151392 34058599414008 36896816031842 37581902801664 40713728035136 41918276201856 45411465885344 45802944039528 50541179629824 51087899121012 55345224047763 56372854202496 61070592052704 62877414302784 68117198828016 73793632063684 81427456070272 83836552403712 90822931770688 91605888079056 102175798242024 110690448095526 112745708404992 122141184105408 125754828605568 136234397656032 147587264127368 162854912140544 166035672143289 181645863541376 183211776158112 204351596484048 221380896191052 244282368210816 251509657211136 272468795312064 295174528254736 332071344286578 363291727082752 366423552316224 408703192968096 442761792382104 488564736421632 544937590624128 590349056509472 664142688573156 732847104632448 817406385936192 885523584764208 1089875181248256 1180698113018944 1328285377146312 1465694209264896 1634812771872384 1771047169528416 2361396226037888 2656570754292624 3269625543744768 3542094339056832 4722792452075776 5313141508585248 7084188678113664 10626283017170496 14168377356227328 21252566034340992 42505132068681984
- Sum of all divisors σ(n): 137450971263499257
- Sum of proper divisors (its aliquot sum) s(n): 94945839194817273
- 42505132068681984 is an abundant number, because the sum of its proper divisors (94945839194817273) is greater than itself. Its abundance is 52440707126135289
Bases of 42505132068681984
- Binary: 100101110000001000110001010000100001010110111001000000002
- Hexadecimal: 0x9702314215B900
- Base-36: BMIT83RPDS0
Squares and roots of 42505132068681984
- 42505132068681984 squared (425051320686819842) is 1806686252176097596600990926176256
- 42505132068681984 cubed (425051320686819843) is 76793437755417111853386570960111729721574795771904
-
42505132068681984 is a
perfect square number . Itssquare root is 206167728 -
The
cube root of 42505132068681984 is 348990.6486184415
Scales and comparisons
How big is 42505132068681984?- 42,505,132,068,681,984 seconds is equal to 1,351,531,722 years, 40 weeks, 3 days, 5 hours, 26 minutes, 24 seconds.
-
To count from 1 to 42,505,132,068,681,984 would take you about four billion, fifty-four million, five hundred ninety-five thousand, one hundred sixty-eight 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 42505132068681984 cubic inches would be around 29082.6 feet tall.
Recreational maths with 42505132068681984
- 42505132068681984 backwards is 48918686023150524
- 42505132068681984 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42505132068681984's digits is 72
- More coming soon!
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"Number 42505132068681984 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 42505132068681984 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/42505132068681984/
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The information we have on file for 42505132068681984 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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