42120360463725146880
42,120,360,463,725,146,880 is an even composite number composed of six prime numbers multiplied together.
What does the number 42120360463725146880 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
42120360463725146880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 42120360463725146880:
28 × 32 × 5 × 149 × 197 × 124562439623
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 149 × 197 × 124562439623)See below for interesting mathematical facts about the number 42120360463725146880 from the Numbermatics database.
Names of 42120360463725146880
- Cardinal: 42120360463725146880 can be written as Forty-two quintillion, one hundred twenty quadrillion, three hundred sixty trillion, four hundred sixty-three billion, seven hundred twenty-five million, one hundred forty-six thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 4.212036046372514688 × 1019
Factors of 42120360463725146880
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 124562439979
Divisors of 42120360463725146880
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 149 160 180 192 197 240 256 288 298 320 360 384 394 447 480 576 591 596 640 720 745 768 788 894 960 985 1152 1182 1192 1280 1341 1440 1490 1576 1773 1788 1920 1970 2235 2304 2364 2384 2682 2880 2955 2980 3152 3546 3576 3840 3940 4470 4728 4768 5364 5760 5910 5960 6304 6705 7092 7152 7880 8865 8940 9456 9536 10728 11520 11820 11920 12608 13410 14184 14304 15760 17730 17880 18912 19072 21456 23640 23840 25216 26820 28368 28608 29353 31520 35460 35760 37824 38144 42912 47280 47680 50432 53640 56736 57216 58706 63040 70920 71520 75648 85824 88059 94560 95360 107280 113472 114432 117412 126080 141840 143040 146765 151296 171648 176118 189120 190720 214560 226944 234824 252160 264177 283680 286080 293530 343296 352236 378240 429120 440295 453888 469648 528354 567360 572160 587060 704472 756480 858240 880590 939296 1056708 1134720 1174120 1320885 1408944 1716480 1761180 1878592 2113416 2269440 2348240 2641770 2817888 3522360 3757184 4226832 4696480 5283540 5635776 7044720 7514368 8453664 9392960 10567080 11271552 14089440 16907328 18785920 21134160 22543104 28178880 33814656 37571840 42268320 56357760 67629312 84536640 112715520 169073280 338146560 124562439623 249124879246 373687318869 498249758492 622812198115 747374637738 996499516984 1121061956607 1245624396230 1494749275476 1868436594345 1992999033968 2242123913214 2491248792460 2989498550952 3736873188690 3985998067936 4484247826428 4982497584920 5605309783035 5978997101904 7473746377380 7971996135872 8968495652856 9964995169840 11210619566070 11957994203808 14947492754760 15943992271744 17936991305712 18559803503827 19929990339680 22421239132140 23915988407616 24538800605731 29894985509520 31887984543488 35873982611424 37119607007654 39859980679360 44842478264280 47831976815232 49077601211462 55679410511481 59789971019040 71747965222848 73616401817193 74239214015308 79719961358720 89684956528560 92799017519135 95663953630464 98155202422924 111358821022962 119579942038080 122694003028655 143495930445696 147232803634386 148478428030616 159439922717440 167038231534443 179369913057120 185598035038270 196310404845848 220849205451579 222717642045924 239159884076160 245388006057310 278397052557405 286991860891392 294465607268772 296956856061232 334076463068886 358739826114240 368082009085965 371196070076540 392620809691696 441698410903158 445435284091848 478319768152320 490776012114620 556794105114810 588931214537544 593913712122464 668152926137772 717479652228480 736164018171930 742392140153080 785241619383392 835191157672215 883396821806316 890870568183696 981552024229240 1104246027257895 1113588210229620 1177862429075088 1187827424244928 1336305852275544 1434959304456960 1472328036343860 1484784280306160 1570483238766784 1670382315344430 1766793643612632 1781741136367392 1963104048458480 2208492054515790 2227176420459240 2355724858150176 2375654848489856 2672611704551088 2944656072687720 2969568560612320 3140966477533568 3340764630688860 3533587287225264 3563482272734784 3656281290253919 3926208096916960 4416984109031580 4454352840918480 4711449716300352 4751309696979712 5345223409102176 5889312145375440 5939137121224640 6281932955067136 6681529261377720 7067174574450528 7126964545469568 7312562580507838 7852416193833920 8833968218063160 8908705681836960 9422899432600704 10690446818204352 10968843870761757 11778624290750880 11878274242449280 13363058522755440 14134349148901056 14253929090939136 14625125161015676 15704832387667840 17667936436126320 17817411363673920 18281406451269595 18845798865201408 21380893636408704 21937687741523514 23557248581501760 23756548484898560 26726117045510880 28268698297802112 29250250322031352 31409664775335680 32906531612285271 35335872872252640 35634822727347840 36562812902539190 42761787272817408 43875375483047028 47114497163003520 53452234091021760 54844219353808785 56537396595604224 58500500644062704 65813063224570542 70671745744505280 71269645454695680 73125625805078380 87750750966094056 94228994326007040 106904468182043520 109688438707617570 117001001288125408 131626126449141084 141343491489010560 146251251610156760 164532658061426355 175501501932188112 213808936364087040 219376877415235140 234002002576250816 263252252898282168 282686982978021120 292502503220313520 329065316122852710 351003003864376224 438753754830470280 468004005152501632 526504505796564336 585005006440627040 658130632245705420 702006007728752448 877507509660940560 936008010305003264 1053009011593128672 1170010012881254080 1316261264491410840 1404012015457504896 1755015019321881120 2106018023186257344 2340020025762508160 2632522528982821680 2808024030915009792 3510030038643762240 4212036046372514688 4680040051525016320 5265045057965643360 7020060077287524480 8424072092745029376 10530090115931286720 14040120154575048960 21060180231862573440 42120360463725146880
- Sum of all divisors σ(n): 147454848640441742400
- Sum of proper divisors (its aliquot sum) s(n): 105334488176716595520
- 42120360463725146880 is an abundant number, because the sum of its proper divisors (105334488176716595520) is greater than itself. Its abundance is 63214127712991448640
Bases of 42120360463725146880
- Binary: 1001001000100010011001010010101101101100111011111010110011000000002
- Hexadecimal: 0x2488994ADB3BEB300
- Base-36: 8W0DXNPM67R40
Squares and roots of 42120360463725146880
- 42120360463725146880 squared (421203604637251468802) is 1774124765594140470317965448877573734400
- 42120360463725146880 cubed (421203604637251468803) is 74726774634447078008950379239835809702990395122670108672000
-
The
square root of 42120360463725146880 is 6490020066.5117474565 -
The
cube root of 42120360463725146880 is 3479343.9239622733
Scales and comparisons
How big is 42120360463725146880?- 42,120,360,463,725,146,880 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,120,360,463,725,146,880 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42120360463725146880 cubic inches would be around 289945.3 feet tall.
Recreational maths with 42120360463725146880
- 42120360463725146880 backwards is 08864152736406302124
- 42120360463725146880 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42120360463725146880's digits is 72
- More coming soon!
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The information we have on file for 42120360463725146880 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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