42734461425168000
42,734,461,425,168,000 is an even composite number composed of five prime numbers multiplied together.
42734461425168000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 42734461425168000:
27 × 3 × 53 × 193 × 113932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 19 × 19 × 11393 × 11393)See below for interesting mathematical facts about the number 42734461425168000 from the Numbermatics database.
Names of 42734461425168000
- Cardinal: 42734461425168000 can be written as Forty-two quadrillion, seven hundred thirty-four trillion, four hundred sixty-one billion, four hundred twenty-five million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.2734461425168 × 1016
Factors of 42734461425168000
Divisors of 42734461425168000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 64 75 76 80 95 96 100 114 120 125 128 150 152 160 190 192 200 228 240 250 285 300 304 320 361 375 380 384 400 456 475 480 500 570 600 608 640 722 750 760 800 912 950 960 1000 1083 1140 1200 1216 1425 1444 1500 1520 1600 1805 1824 1900 1920 2000 2166 2280 2375 2400 2432 2850 2888 3000 3040 3200 3610 3648 3800 4000 4332 4560 4750 4800 5415 5700 5776 6000 6080 6859 7125 7220 7296 7600 8000 8664 9025 9120 9500 9600 10830 11393 11400 11552 12000 12160 13718 14250 14440 15200 16000 17328 18050 18240 19000 20577 21660 22786 22800 23104 24000 27075 27436 28500 28880 30400 34179 34295 34656 36100 36480 38000 41154 43320 45125 45572 45600 46208 48000 54150 54872 56965 57000 57760 60800 68358 68590 69312 72200 76000 82308 86640 90250 91144 91200 102885 108300 109744 113930 114000 115520 135375 136716 137180 138624 144400 152000 164616 170895 171475 173280 180500 182288 182400 205770 216467 216600 219488 227860 228000 231040 270750 273432 274360 284825 288800 304000 329232 341790 342950 346560 361000 364576 411540 432934 433200 438976 455720 456000 514425 541500 546864 548720 569650 577600 649401 658464 683580 685900 693120 722000 729152 823080 854475 857375 865868 866400 877952 911440 912000 1028850 1082335 1083000 1093728 1097440 1139300 1155200 1298802 1316928 1367160 1371800 1424125 1444000 1458304 1646160 1708950 1714750 1731736 1732800 1822880 2057700 2164670 2166000 2187456 2194880 2278600 2572125 2597604 2633856 2734320 2743600 2848250 2888000 3247005 3292320 3417900 3429500 3463472 3465600 3645760 4112873 4115400 4272375 4329340 4332000 4374912 4389760 4557200 5144250 5195208 5411675 5468640 5487200 5696500 5776000 6494010 6584640 6835800 6859000 6926944 7291520 8225746 8230800 8544750 8658680 8664000 9114400 10288500 10390416 10823350 10937280 10974400 11393000 12338619 12988020 13169280 13671600 13718000 13853888 16235025 16451492 16461600 17089500 17317360 17328000 18228800 20564365 20577000 20780832 21646700 21874560 21948800 22786000 24677238 25976040 27058375 27343200 27436000 27707776 32470050 32902984 32923200 34179000 34634720 36457600 41128730 41154000 41561664 43293400 45572000 49354476 51952080 54116750 54686400 54872000 61693095 64940100 65805968 65846400 68358000 69269440 78144587 81175125 82257460 82308000 83123328 86586800 91144000 98708952 102821825 103904160 108233500 109372800 109744000 123386190 129800449 129880200 131611936 136716000 138538880 156289174 162350250 164514920 164616000 173173600 182288000 197417904 205643650 207808320 216467000 234433761 246772380 259600898 259760400 263223872 273432000 308465475 312578348 324700500 329029840 329232000 346347200 389401347 390722935 394835808 411287300 415616640 432934000 468867522 493544760 514109125 519201796 519520800 526447744 546864000 616930950 625156696 649002245 649401000 658059680 692694400 778802694 781445870 789671616 822574600 865868000 937735044 987089520 1028218250 1038403592 1039041600 1172168805 1233861900 1250313392 1298004490 1298802000 1316119360 1542327375 1557605388 1562891740 1579343232 1645149200 1731736000 1875470088 1947006735 1953614675 1974179040 2056436500 2076807184 2078083200 2344337610 2466208531 2467723800 2500626784 2596008980 2597604000 2632238720 3084654750 3115210776 3125783480 3245011225 3290298400 3463472000 3750940176 3894013470 3907229350 3948358080 4112873000 4153614368 4688675220 4932417062 4935447600 5001253568 5192017960 5195208000 5860844025 6169309500 6230421552 6251566960 6490022450 6580596800 7398625593 7501880352 7788026940 7814458700 7896716160 8225746000 8307228736 9377350440 9735033675 9768073375 9864834124 9870895200 10002507136 10384035920 10390416000 11721688050 12331042655 12338619000 12460843104 12503133920 12980044900 13161193600 14797251186 15003760704 15576053880 15628917400 16225056125 16451492000 16614457472 18754700880 19470067350 19536146750 19729668248 19741790400 20768071840 23443376100 24662085310 24677238000 24921686208 25006267840 25960089800 29304220125 29594502372 30007521408 31152107760 31257834800 32450112250 32902984000 36993127965 37509401760 38940134700 39072293500 39459336496 39483580800 41536143680 46857962089 46886752200 48675168375 49324170620 49354476000 49843372416 50012535680 51920179600 58608440250 59189004744 61655213275 62304215520 62515669600 64900224500 65805968000 73986255930 75018803520 77880269400 78144587000 78918672992 83072287360 93715924178 93773504400 97350336750 98648341240 98708952000 103840359200 117216880500 118378009488 123310426550 124608431040 125031339200 129800449000 140573886267 147972511860 150037607040 155760538800 156289174000 157837345984 184965639825 187431848356 187547008800 194700673500 197296682480 197417904000 207680718400 234289810445 234433761000 236756018976 246620853100 249216862080 250062678400 259600898000 281147772534 295945023720 308276066375 311521077600 312578348000 315674691968 369931279650 374863696712 375094017600 389401347000 394593364960 415361436800 468579620890 468867522000 473512037952 493241706200 519201796000 562295545068 591890047440 616552132750 623042155200 625156696000 702869431335 739862559300 749727393424 750188035200 778802694000 789186729920 890301279691 924828199125 937159241780 937735044000 947024075904 986483412400 1038403592000 1124591090136 1171449052225 1183780094880 1233104265500 1246084310400 1250313392000 1405738862670 1479725118600 1499454786848 1557605388000 1578373459840 1780602559382 1849656398250 1874318483560 1875470088000 1972966824800 2076807184000 2249182180272 2342898104450 2367560189760 2466208531000 2670903839073 2811477725340 2959450237200 2998909573696 3115210776000 3514347156675 3561205118764 3699312796500 3748636967120 3750940176000 3945933649600 4451506398455 4498364360544 4685796208900 4735120379520 4932417062000 5341807678146 5622955450680 5857245261125 5918900474400 5997819147392 6230421552000 7028694313350 7122410237528 7398625593000 7497273934240 7891867299200 8903012796910 8996728721088 9371592417800 9864834124000 10683615356292 11245910901360 11714490522250 11837800948800 13354519195365 14057388626700 14244820475056 14797251186000 14994547868480 17571735783375 17806025593820 17993457442176 18743184835600 19729668248000 21367230712584 22257531992275 22491821802720 23428981044500 23675601897600 26709038390730 28114777253400 28489640950112 29594502372000 29989095736960 35143471566750 35612051187640 37486369671200 39459336496000 42734461425168 44515063984550 44983643605440 46857962089000 53418076781460 56229554506800 56979281900224 59189004744000 66772595976825 70286943133500 71224102375280 74972739342400 85468922850336 89030127969100 89967287210880 93715924178000 106836153562920 111287659961375 112459109013600 113958563800448 118378009488000 133545191953650 140573886267000 142448204750560 149945478684800 170937845700672 178060255938200 187431848356000 213672307125840 222575319922750 224918218027200 267090383907300 281147772534000 284896409501120 333862979884125 341875691401344 356120511876400 374863696712000 427344614251680 445150639845500 449836436054400 534180767814600 562295545068000 569792819002240 667725959768250 712241023752800 749727393424000 854689228503360 890301279691000 1068361535629200 1124591090136000 1335451919536500 1424482047505600 1709378457006720 1780602559382000 2136723071258400 2249182180272000 2670903839073000 2848964095011200 3561205118764000 4273446142516800 5341807678146000 7122410237528000 8546892285033600 10683615356292000 14244820475056000 21367230712584000 42734461425168000
- Sum of all divisors σ(n): 149546981717078400
- Sum of proper divisors (its aliquot sum) s(n): 106812520291910400
- 42734461425168000 is an abundant number, because the sum of its proper divisors (106812520291910400) is greater than itself. Its abundance is 64078058866742400
Bases of 42734461425168000
- Binary: 100101111101001011000100001010001110101000101110100000002
- Hexadecimal: 0x97D2C428EA2E80
- Base-36: BOS3OK1G51C
Squares and roots of 42734461425168000
- 42734461425168000 squared (427344614251680002) is 1826234193299171809663828224000000
- 42734461425168000 cubed (427344614251680003) is 78043134686866258529000570320377782341632000000000
-
The
square root of 42734461425168000 is 206723151.6428868689 -
The
cube root of 42734461425168000 is 349617.1635083259
Scales and comparisons
How big is 42734461425168000?- 42,734,461,425,168,000 seconds is equal to 1,358,823,686 years, 49 weeks, 3 days, 13 hours, 20 minutes.
-
To count from 1 to 42,734,461,425,168,000 would take you about four billion, seventy-six million, four hundred seventy-one thousand and sixty 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 42734461425168000 cubic inches would be around 29134.8 feet tall.
Recreational maths with 42734461425168000
- 42734461425168000 backwards is 00086152416443724
- 42734461425168000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42734461425168000's digits is 57
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42734461425168000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 42734461425168000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/42734461425168000/
Chicago style:
Numbermatics. 2024. "Number 42734461425168000 - Facts about the integer". https://numbermatics.com/n/42734461425168000/
The information we have on file for 42734461425168000 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 42734461425168000, math, Factors of 42734461425168000, curriculum, school, college, exams, university, Prime factorization of 42734461425168000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, seven hundred thirty-four trillion, four hundred sixty-one billion, four hundred twenty-five million, one hundred sixty-eight thousand.