42268967870101857024
42,268,967,870,101,857,024 is an even composite number composed of six prime numbers multiplied together.
What does the number 42268967870101857024 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
42268967870101857024 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42268967870101857024:
28 × 3 × 7 × 163 × 15647 × 3082788259
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 163 × 15647 × 3082788259)See below for interesting mathematical facts about the number 42268967870101857024 from the Numbermatics database.
Names of 42268967870101857024
- Cardinal: 42268967870101857024 can be written as Forty-two quintillion, two hundred sixty-eight quadrillion, nine hundred sixty-seven trillion, eight hundred seventy billion, one hundred one million, eight hundred fifty-seven thousand and twenty-four.
Scientific notation
- Scientific notation: 4.2268967870101857024 × 1019
Factors of 42268967870101857024
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 3082804081
Divisors of 42268967870101857024
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 163 168 192 224 256 326 336 384 448 489 652 672 768 896 978 1141 1304 1344 1792 1956 2282 2608 2688 3423 3912 4564 5216 5376 6846 7824 9128 10432 13692 15647 15648 18256 20864 27384 31294 31296 36512 41728 46941 54768 62588 62592 73024 93882 109529 109536 125176 125184 146048 187764 219058 219072 250352 292096 328587 375528 438116 438144 500704 657174 751056 876232 876288 1001408 1314348 1502112 1752464 2002816 2550461 2628696 3004224 3504928 4005632 5100922 5257392 6008448 7009856 7651383 10201844 10514784 12016896 14019712 15302766 17853227 20403688 21029568 28039424 30605532 35706454 40807376 42059136 53559681 61211064 71412908 81614752 84118272 107119362 122422128 142825816 163229504 214238724 244844256 285651632 326459008 428477448 489688512 571303264 652918016 856954896 979377024 1142606528 1713909792 1958754048 2285213056 3082788259 3427819584 4570426112 6165576518 6855639168 9248364777 12331153036 13711278336 18496729554 21579517813 24662306072 36993459108 43159035626 49324612144 64738553439 73986918216 86318071252 98649224288 129477106878 147973836432 172636142504 197298448576 258954213756 295947672864 345272285008 394596897152 502494486217 517908427512 591895345728 690544570016 789193794304 1004988972434 1035816855024 1183790691456 1381089140032 1507483458651 2009977944868 2071633710048 2367581382912 2762178280064 3014966917302 3517461403519 4019955889736 4143267420096 5524356560128 6029933834604 7034922807038 8039911779472 8286534840192 10552384210557 12059867669208 14069845614076 16079823558944 16573069680384 21104768421114 24119735338416 28139691228152 32159647117888 42209536842228 48236387888573 48239470676832 56279382456304 64319294235776 84419073684456 96472775777146 96478941353664 112558764912608 128638588471552 144709163665719 168838147368912 192945551554292 192957882707328 225117529825216 289418327331438 337654715220011 337676294737824 385891103108584 385915765414656 450235059650432 578836654662876 675309430440022 675352589475648 771782206217168 900470119300864 1012964145660033 1157673309325752 1350618860880044 1350705178951296 1543564412434336 2025928291320066 2315346618651504 2701237721760088 2701410357902592 3087128824868672 4051856582640132 4630693237303008 5402475443520176 6174257649737344 7862531225837399 8103713165280264 9261386474606016 10804950887040352 12348515299474688 15725062451674798 16207426330560528 18522772949212032 21609901774080704 23587593677512197 31450124903349596 32414852661121056 37045545898424064 43219803548161408 47175187355024394 55037718580861793 62900249806699192 64829705322242112 86439607096322816 94350374710048788 110075437161723586 125800499613398384 129659410644484224 165113155742585379 188700749420097576 220150874323447172 251600999226796768 259318821288968448 330226311485170758 377401498840195152 440301748646894344 503201998453593536 660452622970341516 754802997680390304 880603497293788688 1006403996907187072 1320905245940683032 1509605995360780608 1761206994587577376 2012807993814374144 2641810491881366064 3019211990721561216 3522413989175154752 5283620983762732128 6038423981443122432 7044827978350309504 10567241967525464256 14089655956700619008 21134483935050928512 42268967870101857024
- Sum of all divisors σ(n): 129365139261203005440
- Sum of proper divisors (its aliquot sum) s(n): 87096171391101148416
- 42268967870101857024 is an abundant number, because the sum of its proper divisors (87096171391101148416) is greater than itself. Its abundance is 44827203520999291392
Bases of 42268967870101857024
- Binary: 1001001010100110011000101001010011110001111101001000100011000000002
- Hexadecimal: 0x24A998A53C7D22300
- Base-36: 8X516L5MXDNUO
Squares and roots of 42268967870101857024
- 42268967870101857024 squared (422689678701018570242) is 1786665644803703119449590012613338136576
- 42268967870101857024 cubed (422689678701018570243) is 75520512734822544058496238591752736185081532898417336909824
-
The
square root of 42268967870101857024 is 6501458903.2079451439 -
The
cube root of 42268967870101857024 is 3483431.0160791727
Scales and comparisons
How big is 42268967870101857024?- 42,268,967,870,101,857,024 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 42,268,967,870,101,857,024 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 42268967870101857024 cubic inches would be around 290285.9 feet tall.
Recreational maths with 42268967870101857024
- 42268967870101857024 backwards is 42075810107876986224
- The number of decimal digits it has is: 20
- The sum of 42268967870101857024's digits is 87
- More coming soon!
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