42057531478404000
42,057,531,478,404,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42057531478404000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
42057531478404000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 42057531478404000:
25 × 37 × 53 × 13 × 23 × 3637 × 4421
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 23 × 3637 × 4421)See below for interesting mathematical facts about the number 42057531478404000 from the Numbermatics database.
Names of 42057531478404000
- Cardinal: 42057531478404000 can be written as Forty-two quadrillion, fifty-seven trillion, five hundred thirty-one billion, four hundred seventy-eight million, four hundred four thousand.
Scientific notation
- Scientific notation: 4.2057531478404 × 1016
Factors of 42057531478404000
Divisors of 42057531478404000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 25 26 27 30 32 36 39 40 45 46 48 50 52 54 60 65 69 72 75 78 80 81 90 92 96 100 104 108 115 117 120 125 130 135 138 144 150 156 160 162 180 184 195 200 207 208 216 225 230 234 240 243 250 260 270 276 288 299 300 312 324 325 345 351 360 368 375 390 400 405 414 416 432 450 460 468 480 486 500 520 540 552 575 585 598 600 621 624 648 650 675 690 702 720 729 736 750 780 800 810 828 864 897 900 920 936 972 975 1000 1035 1040 1053 1080 1104 1125 1150 1170 1196 1200 1215 1242 1248 1296 1300 1350 1380 1404 1440 1458 1495 1500 1560 1620 1625 1656 1725 1755 1794 1800 1840 1863 1872 1944 1950 2000 2025 2070 2080 2106 2160 2187 2208 2250 2300 2340 2392 2400 2430 2484 2592 2600 2691 2700 2760 2808 2875 2916 2925 2990 3000 3105 3120 3159 3240 3250 3312 3375 3450 3510 3588 3600 3637 3645 3680 3726 3744 3888 3900 4000 4050 4140 4212 4320 4374 4421 4485 4500 4600 4680 4784 4860 4875 4968 5175 5200 5265 5382 5400 5520 5589 5616 5750 5832 5850 5980 6000 6075 6210 6240 6318 6480 6500 6624 6750 6900 7020 7176 7200 7274 7290 7452 7475 7776 7800 8073 8100 8280 8424 8625 8748 8775 8842 8970 9000 9200 9315 9360 9477 9568 9720 9750 9936 10125 10350 10400 10530 10764 10800 10911 10935 11040 11178 11232 11500 11664 11700 11960 12000 12150 12420 12636 12960 13000 13263 13455 13500 13800 14040 14352 14548 14580 14625 14904 14950 15525 15600 15795 16146 16200 16560 16767 16848 17250 17496 17550 17684 17940 18000 18185 18225 18400 18630 18720 18954 19440 19500 19872 20250 20700 21060 21528 21600 21822 21870 22105 22356 22425 23000 23328 23400 23920 24219 24300 24840 25272 25875 26000 26325 26526 26910 27000 27600 27945 28080 28431 28704 29096 29160 29250 29808 29900 30375 31050 31200 31590 32292 32400 32733 33120 33534 33696 34500 34992 35100 35368 35880 36000 36370 36450 37260 37375 37908 38880 39000 39789 40365 40500 41400 42120 43056 43644 43740 43875 44210 44712 44850 46000 46575 46800 47281 47385 47840 48438 48600 49680 50301 50544 51750 52000 52650 53052 53820 54000 54555 54675 55200 55890 56160 56862 57473 58192 58320 58500 59616 59800 60750 62100 63180 64584 64800 65466 66315 67068 67275 69000 69984 70200 70736 71760 72657 72740 72900 74520 74750 75816 77625 78000 78975 79578 80730 81000 82800 83651 83835 84240 86112 87288 87480 87750 88420 89424 89700 90925 91125 92000 93150 93600 94562 94770 96876 97200 98199 99360 100602 101088 101683 103500 105300 106104 107640 108000 109110 109350 110525 111780 112125 113724 114946 116384 116640 117000 119367 119600 121095 121500 124200 126360 129168 130932 131625 132630 134136 134550 138000 139725 140400 141472 141843 142155 143520 145314 145480 145800 149040 149500 151632 155250 156000 157950 159156 161460 162000 163665 165600 167302 167670 168480 172419 174576 174960 175500 176840 178848 179400 181850 182250 186300 189124 189540 193752 194400 196398 198945 201204 201825 203366 207000 210600 212208 215280 217971 218220 218700 221050 223560 224250 227448 229892 232875 234000 236405 236925 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319525405344 321216597000 325603334250 332838963900 338627467620 346152522456 347310223200 351651600990 352338012000 359466081012 360575544225 361368671625 365889474000 369821071000 375095041056 376252741800 380525052960 384613913840 385459916400 389421587763 390724001100 396380263500 399406756680 406352961144 413614188000 416048704875 418058602000 423284334525 428288796000 432690653070 434137779000 443785285200 444761442000 449332601265 451503290160 457147081287 461536696608 462551899680 468868801320 470315927250 475656316200 479288108016 480767392300 481824895500 488405001375 499258445850 501670322400 502773804000 507941201430 519228783684 520965334800 528507018000 532542342240 539199121518 541803948192 554731606500 562642561584 564379112700 576920870760 578189874600 578850372000 586086001650 594570395250 599110135020 600959240375 609529441716 625158401760 627087903000 634208421600 642433194000 649035979605 651206668500 665677927800 677254935240 692305044912 703303201980 705473890875 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3894215877630 3907240011000 3994067566800 4043993411385 4063529611440 4153830269472 4232843345250 4313592972144 4326906530700 4395645012375 4437852852000 4493326012650 4515032901600 4571470812870 4673059053156 4688688013200 4756563162000 4792881080160 4807673923000 4876235533728 4992584458500 5079412014300 5192287836840 5209653348000 5391991215180 5408633163375 5626425615840 5643791127000 5769208707600 5781898746000 5841323816445 5860860016500 5991101350200 6095294417160 6230745404208 6349265017875 6470389458216 6490359796050 6656779278000 6739989018975 6772549352400 6923050449120 7009588579734 7033032019800 7189321620240 7211510884500 7314353300592 7488876687750 7525054836000 7619118021450 7788431755260 7814480022000 7988135133600 8087986822770 8127059222880 8465686690500 8627185944288 8653813061400 8791290024750 8986652025300 9142941625740 9346118106312 9377376026400 9513126324000 9615347846000 9735539694075 9985168917000 10158824028600 10384575673680 10514382869601 10783982430360 10817266326750 11233315031625 11287582254000 11428677032175 11538417415200 11563797492000 11682647632890 11721720033000 11982202700400 12190588834320 12461490808416 12698530035750 12940778916432 12980719592100 13313558556000 13479978037950 13545098704800 14019177159468 14066064039600 14378643240480 14423021769000 14628706601184 14977753375500 15238236042900 15576863510520 15628960044000 16175973645540 16225899490125 16931373381000 17307626122800 17523971449335 17582580049500 17973304050600 18285883251480 18692236212624 19047795053625 19230695692000 19471079388150 19970337834000 20219967056925 20317648057200 20769151347360 21028765739202 21567964860720 21634532653500 22466630063250 22575164508000 22857354064350 23365295265780 23443440066000 23964405400800 24381177668640 25397060071500 25881557832864 25961439184200 26959956075900 28038354318936 28132128079200 28846043538000 29206619082225 29955506751000 30476472085800 31153727021040 32351947291080 32451798980250 33699945094875 33862746762000 34615252245600 35047942898670 35165160099000 35946608101200 36571766502960 37384472425248 38095590107250 38942158776300 39940675668000 40439934113850 40635296114400 42057531478404 43135929721440 43269065307000 44933260126500 45714708128700 46730590531560 46886880132000 48677698470375 50794120143000 51922878368400 52571914348005 53919912151800 56076708637872 57143385160875 57692087076000 58413238164450 59911013502000 60952944171600 62307454042080 64703894582160 64903597960500 67399890189750 67725493524000 70095885797340 70330320198000 71893216202400 73143533005920 76191180214500 77884317552600 80879868227700 84115062956808 86538130614000 87619857246675 89866520253000 91429416257400 93461181063120 97355396940750 101099835284625 101588240286000 103845756736800 105143828696010 107839824303600 112153417275744 114286770321750 116826476328900 119822027004000 121905888343200 129407789164320 129807195921000 134799780379500 140191771594680 140660640396000 146033095411125 152382360429000 155768635105200 161759736455400 168230125913616 173076261228000 175239714493350 179733040506000 182858832514800 186922362126240 194710793881500 202199670569250 203176480572000 210287657392020 215679648607200 228573540643500 233652952657800 259614391842000 262859571740025 269599560759000 280383543189360 292066190822250 304764720858000 311537270210400 323519472910800 336460251827232 350479428986700 359466081012000 365717665029600 389421587763000 404399341138500 420575314784040 438099286233375 457147081287000 467305905315600 519228783684000 525719143480050 539199121518000 560767086378720 584132381644500 609529441716000 647038945821600 700958857973400 778843175526000 808798682277000 841150629568080 876198572466750 914294162574000 934611810631200 1051438286960100 1078398243036000 1168264763289000 1314297858700125 1401917715946800 1557686351052000 1617597364554000 1682301259136160 1752397144933500 1828588325148000 2102876573920200 2336529526578000 2628595717400250 2803835431893600 3235194729108000 3504794289867000 4205753147840400 4673059053156000 5257191434800500 7009588579734000 8411506295680800 10514382869601000 14019177159468000 21028765739202000 42057531478404000
- Sum of all divisors σ(n): 174244750088048640
- Sum of proper divisors (its aliquot sum) s(n): 132187218609644640
- 42057531478404000 is an abundant number, because the sum of its proper divisors (132187218609644640) is greater than itself. Its abundance is 90129687131240640
Bases of 42057531478404000
- Binary: 100101010110101100011010000111111110011001101011101000002
- Hexadecimal: 0x956B1A1FE66BA0
- Base-36: BI45F8CYI00
Squares and roots of 42057531478404000
- 42057531478404000 squared (420575314784040002) is 1768835954056943349918387216000000
- 42057531478404000 cubed (420575314784040003) is 74392873817882666469094344181279813683264000000000
-
The
square root of 42057531478404000 is 205079329.7199988413 -
The
cube root of 42057531478404000 is 347761.3071157615
Scales and comparisons
How big is 42057531478404000?- 42,057,531,478,404,000 seconds is equal to 1,337,299,408 years, 27 weeks, 2 days, 18 hours.
-
To count from 1 to 42,057,531,478,404,000 would take you about four billion, eleven million, eight hundred ninety-eight thousand, two hundred twenty-five 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 42057531478404000 cubic inches would be around 28980.1 feet tall.
Recreational maths with 42057531478404000
- 42057531478404000 backwards is 00040487413575024
- 42057531478404000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42057531478404000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 42057531478404000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 42057531478404000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/42057531478404000/
Chicago style:
Numbermatics. 2024. "Number 42057531478404000 - Facts about the integer". https://numbermatics.com/n/42057531478404000/
The information we have on file for 42057531478404000 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 42057531478404000, math, Factors of 42057531478404000, curriculum, school, college, exams, university, Prime factorization of 42057531478404000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, fifty-seven trillion, five hundred thirty-one billion, four hundred seventy-eight million, four hundred four thousand.