42129871680742560
42,129,871,680,742,560 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42129871680742560 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
42129871680742560 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 42129871680742560:
25 × 35 × 5 × 11 × 13 × 911 × 3637 × 2287
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 13 × 911 × 3637 × 2287)See below for interesting mathematical facts about the number 42129871680742560 from the Numbermatics database.
Names of 42129871680742560
- Cardinal: 42129871680742560 can be written as Forty-two quadrillion, one hundred twenty-nine trillion, eight hundred seventy-one billion, six hundred eighty million, seven hundred forty-two thousand, five hundred sixty.
Scientific notation
- Scientific notation: 4.212987168074256 × 1016
Factors of 42129871680742560
Divisors of 42129871680742560
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 54 55 60 65 66 72 78 80 81 88 90 96 99 104 108 110 117 120 130 132 135 143 144 156 160 162 165 176 180 195 198 208 216 220 234 240 243 260 264 270 286 288 297 312 324 330 351 352 360 390 396 405 416 429 432 440 468 480 486 495 520 528 540 572 585 594 624 648 660 702 715 720 780 792 810 858 864 880 891 911 936 972 990 1040 1053 1056 1080 1144 1170 1188 1215 1248 1287 1296 1320 1404 1430 1440 1485 1560 1584 1620 1716 1755 1760 1782 1822 1872 1944 1980 2080 2106 2145 2160 2287 2288 2340 2376 2430 2574 2592 2640 2673 2733 2808 2860 2970 3120 3159 3168 3240 3432 3510 3564 3637 3644 3744 3861 3888 3960 4212 4290 4320 4455 4555 4574 4576 4680 4752 4860 5148 5265 5280 5346 5466 5616 5720 5940 6240 6318 6435 6480 6861 6864 7020 7128 7274 7288 7722 7776 7920 8199 8424 8580 8910 9110 9148 9360 9504 9720 10021 10296 10530 10692 10911 10932 11232 11435 11440 11583 11843 11880 12636 12870 12960 13365 13665 13722 13728 14040 14256 14548 14576 15444 15795 15840 16398 16848 17160 17820 18185 18220 18296 18720 19305 19440 20042 20583 20592 21060 21384 21822 21864 22870 22880 23166 23686 23760 24597 25157 25272 25740 26730 27330 27444 28080 28512 29096 29152 29731 30063 30888 31590 32733 32796 33696 34305 34320 34749 35529 35640 36370 36440 36592 38610 38880 40007 40084 40995 41166 41184 42120 42768 43644 43728 45740 46332 47281 47372 47520 49194 50105 50314 50544 51480 53460 54555 54660 54888 56160 57915 58192 59215 59462 60126 61749 61776 63180 65466 65592 68610 68640 69498 71058 71280 72740 72880 73184 73791 75471 77220 80014 80168 81990 82332 84240 85536 87288 87456 89193 90189 91480 92664 94562 94744 98199 98388 100210 100628 101088 102915 102960 106587 106920 109110 109320 109776 115830 116384 118430 118924 120021 120252 122985 123498 123552 125785 126360 130273 130932 131184 137220 138996 141843 142116 142560 145480 145760 147582 148655 150315 150942 154440 160028 160336 163665 163980 164664 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10835872345870 10911647676960 11252636666865 11561435697240 11583687566880 11820951650040 12002812444656 12275603636580 13003046815044 13298570606295 13336458271840 13503164000238 14185141980048 14730724363896 15003515555820 15415247596320 15761268866720 15958284727554 16253808518805 16367471515440 17337395753392 17731427475060 18004218666984 18413405454870 18421456790880 19504570222566 19640965818528 20004687407760 20254746000357 21277712970072 21671744691740 22505273333730 23122871394480 23641903300080 23937427091331 24005624889312 24551207273160 26006093630088 26597141212590 27006328000476 28370283960096 29256855333849 29461448727792 30007031111640 31916569455108 32507617037610 32734943030880 33757910000595 34674791506784 35462854950120 36008437333968 36826810909740 39009140445132 39895711818885 40009374815520 40509492000714 42555425940144 43343489383480 45010546667460 46245742788960 47283806600160 47874854182662 48761425556415 49102414546320 52012187260176 53194282425180 54012656000952 58513710667698 58922897455584 60014062223280 63833138910216 65015234075220 67515820001190 70925709900240 72016874667936 73653621819480 78018280890264 79791423637770 81018984001428 85110851880288 86686978766960 87770566001547 90021093334920 95749708365324 97522851112830 98204829092640 101273730001785 104024374520352 106388564850360 108025312001904 117027421335396 119687135456655 120028124446560 127666277820432 130030468150440 135031640002380 141851419800480 146284276669245 147307243638960 156036561780528 159582847275540 162037968002856 173373957533920 175541132003094 180042186669840 191499416730648 195045702225660 202547460003570 212777129700720 216050624003808 234054842670792 239374270913310 255332555640864 260060936300880 263311698004641 270063280004760 292568553338490 294614487277920 312073123561056 319165694551080 324075936005712 351082264006188 360084373339680 382998833461296 390091404451320 405094920007140 425554259401440 438852830007735 468109685341584 478748541826620 520121872601760 526623396009282 540126560009520 585137106676980 638331389102160 648151872011424 702164528012376 765997666922592 780182808902640 810189840014280 877705660015470 936219370683168 957497083653240 1053246792018564 1080253120019040 1170274213353960 1276662778204320 1316558490023205 1404329056024752 1560365617805280 1620379680028560 1755411320030940 1914994167306480 2106493584037128 2340548426707920 2633116980046410 2808658112049504 3240759360057120 3510822640061880 3829988334612960 4212987168074256 4681096853415840 5266233960092820 7021645280123760 8425974336148512 10532467920185640 14043290560247520 21064935840371280 42129871680742560
- Sum of all divisors σ(n): 175475310026784768
- Sum of proper divisors (its aliquot sum) s(n): 133345438346042208
- 42129871680742560 is an abundant number, because the sum of its proper divisors (133345438346042208) is greater than itself. Its abundance is 91215566665299648
Bases of 42129871680742560
- Binary: 100101011010110011100101001000111111011010100100101000002
- Hexadecimal: 0x95ACE523F6A4A0
- Base-36: BITSJV1NU00
Squares and roots of 42129871680742560
- 42129871680742560 squared (421298716807425602) is 1774926087835833937429952995353600
- 42129871680742560 cubed (421298716807425603) is 74777408323326081805496445531256790122277769216000
-
The
square root of 42129871680742560 is 205255625.2109611733 -
The
cube root of 42129871680742560 is 347960.5794976571
Scales and comparisons
How big is 42129871680742560?- 42,129,871,680,742,560 seconds is equal to 1,339,599,603 years, 10 weeks, 2 days, 3 hours, 36 minutes.
-
To count from 1 to 42,129,871,680,742,560 would take you about four billion, eighteen million, seven hundred ninety-eight thousand, eight hundred 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 42129871680742560 cubic inches would be around 28996.7 feet tall.
Recreational maths with 42129871680742560
- 42129871680742560 backwards is 06524708617892124
- 42129871680742560 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42129871680742560's digits is 72
- More coming soon!
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"Number 42129871680742560 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 42129871680742560 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/42129871680742560/
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Numbermatics. 2024. "Number 42129871680742560 - Facts about the integer". https://numbermatics.com/n/42129871680742560/
The information we have on file for 42129871680742560 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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