142315319198412800
142,315,319,198,412,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 142315319198412800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2496 divisors.
142315319198412800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 142315319198412800:
212 × 52 × 113 × 19 × 43 × 257 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 19 × 43 × 257 × 4973)See below for interesting mathematical facts about the number 142315319198412800 from the Numbermatics database.
Names of 142315319198412800
- Cardinal: 142315319198412800 can be written as One hundred forty-two quadrillion, three hundred fifteen trillion, three hundred nineteen billion, one hundred ninety-eight million, four hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.423153191984128 × 1017
Factors of 142315319198412800
Divisors of 142315319198412800
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 43 44 50 55 64 76 80 86 88 95 100 110 121 128 152 160 172 176 190 200 209 215 220 242 256 257 275 304 320 344 352 380 400 418 430 440 473 475 484 512 514 550 605 608 640 688 704 760 800 817 836 860 880 946 950 968 1024 1028 1045 1075 1100 1210 1216 1280 1285 1331 1376 1408 1520 1600 1634 1672 1720 1760 1892 1900 1936 2048 2056 2090 2150 2200 2299 2365 2420 2432 2560 2570 2662 2752 2816 2827 3025 3040 3200 3268 3344 3440 3520 3784 3800 3872 4085 4096 4112 4180 4300 4400 4598 4730 4840 4864 4883 4973 5120 5140 5203 5225 5324 5504 5632 5654 6050 6080 6400 6425 6536 6655 6688 6880 7040 7568 7600 7744 8170 8224 8360 8600 8800 8987 9196 9460 9680 9728 9766 9946 10240 10280 10406 10450 10648 11008 11051 11264 11308 11495 11825 12100 12160 12800 12850 13072 13310 13376 13760 14080 14135 15136 15200 15488 16340 16448 16720 17200 17600 17974 18392 18920 19360 19456 19532 19892 20425 20480 20560 20812 20900 21296 22016 22102 22528 22616 22990 23650 24200 24320 24415 24865 25289 25600 25700 26015 26144 26620 26752 27520 28160 28270 30272 30400 30976 31097 32680 32896 33275 33440 34400 35200 35948 36784 37840 38720 38912 39064 39784 40850 41120 41624 41800 42592 44032 44204 44935 45056 45232 45980 47300 48400 48640 48830 49730 50578 51200 51400 52030 52288 53240 53504 53713 54703 55040 55255 56320 56540 57233 57475 60544 60800 61952 62194 65360 65792 66550 66880 68800 70400 70675 71896 73568 75680 77440 77824 78128 79568 81700 82240 83248 83600 85184 88064 88408 89870 90464 91960 94487 94600 96800 97280 97660 98857 99460 101156 102400 102800 104060 104576 106480 107008 107426 109406 110080 110510 112640 113080 114466 114950 121088 121561 121600 122075 123904 124325 124388 126445 130075 130720 131584 133100 133760 137600 140800 141350 143792 147136 151360 154880 155485 156256 159136 163400 164480 166496 167200 170368 176128 176816 179740 180928 183920 188974 189200 193600 194560 195320 197714 198920 202312 205600 208120 209152 209969 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791784350720 804878060800 808022115725 835340669600 851168177024 854767196800 865243915360 870962785792 894299964800 910783068800 915299348480 918874736560 940243916480 967236564800 989730438400 1006829283328 1010762210216 1034268308128 1063960221280 1069236057088 1081554894200 1088703482240 1094102011904 1125511639040 1144124185600 1144703954944 1148593420700 1165802328064 1170356243408 1170731724800 1175304895600 1238062802944 1243297740800 1258536604160 1263452762770 1287804897280 1292835385160 1300799948800 1324775372800 1329950276600 1336545071360 1360879352800 1367627514880 1384390264576 1389798039047 1406889548800 1430879943680 1439607910400 1457252910080 1462945304260 1470199578496 1504390266368 1506189414400 1547578503680 1573170755200 1583568701440 1609756121600 1616044231450 1670681339200 1702336354048 1709534393600 1730487830720 1741925571584 1788599929600 1821566137600 1828681630325 1837749473120 1880487832960 1934473129600 1979460876800 2013658566656 2021524420432 2068536616256 2127920442560 2138472114176 2163109788400 2177406964480 2288248371200 2297186841400 2340712486816 2350609791200 2476125605888 2486595481600 2517073208320 2526905525540 2575609794560 2585670770320 2601599897600 2649550745600 2659900553200 2673090142720 2721758705600 2735255029760 2768780529152 2779596078094 2813779097600 2861759887360 2914505820160 2925890608520 2940399156992 3008780532736 3095157007360 3146341510400 3158631906925 3167137402880 3219512243200 3232088462900 3341362678400 3404672708096 3419068787200 3460975661440 3483851143168 3577199859200 3643132275200 3657363260650 3675498946240 3760975665920 3868946259200 3958921753600 4043048840864 4137073232512 4255840885120 4276944228352 4326219576800 4354813928960 4576496742400 4594373682800 4681424973632 4701219582400 5034146416640 5053811051080 5171341540640 5319801106400 5346180285440 5443517411200 5470510059520 5537561058304 5559192156188 5627558195200 5723519774720 5829011640320 5851781217040 5880798313984 6017561065472 6190314014720 6292683020800 6317263813850 6439024486400 6464176925800 6682725356800 6809345416192 6838137574400 6921951322880 6948990195235 6967702286336 7154399718400 7286264550400 7314726521300 7350997892480 7521951331840 7737892518400 7917843507200 8086097681728 8274146465024 8511681770240 8652439153600 8709627857920 9188747365600 9362849947264 9402439164800 10068292833280 10107622102160 10342683081280 10639602212800 10692360570880 10887034822400 11075122116608 11118384312376 11703562434080 11761596627968 12035122130944 12380628029440 12585366041600 12634527627700 12878048972800 12928353851600 13365450713600 13618690832384 13676275148800 13843902645760 13897980390470 14308799436800 14572529100800 14629453042600 14701995784960 15043902663680 15475785036800 15835687014400 16172195363456 16548292930048 17023363540480 17304878307200 17419255715840 18377494731200 18725699894528 18804878329600 20215244204320 20685366162560 21279204425600 21384721141760 21774069644800 22150244233216 22236768624752 23407124868160 23523193255936 25170732083200 25269055255400 25856707703200 26730901427200 27237381664768 27352550297600 27687805291520 27795960780940 28617598873600 29145058201600 29258906085200 29403991569920 30087805327360 30951570073600 32344390726912 33096585860096 34046727080960 34609756614400 34744950976175 34838511431680 36754989462400 37451399789056 37609756659200 40430488408640 41370732325120 42558408851200 43548139289600 44473537249504 46814249736320 47046386511872 50341464166400 50538110510800 51713415406400 53461802854400 55375610583040 55591921561880 58517812170400 58807983139840 60175610654720 61903140147200 64688781453824 66193171720192 68093454161920 69219513228800 69489901952350 73509978924800 74902799578112 75219513318400 80860976817280 82741464650240 85116817702400 87096278579200 88947074499008 93628499472640 101076221021600 103426830812800 106923605708800 110751221166080 111183843123760 117035624340800 117615966279680 129377562907648 132386343440384 136186908323840 138439026457600 138979803904700 147019957849600 149805599156224 150439026636800 161721953634560 165482929300480 170233635404800 174192557158400 177894148998016 187256998945280 202152442043200 206853661625600 222367686247520 234071248681600 235231932559360 258755125815296 276878052915200 277959607809400 294039915699200 299611198312448 300878053273600 323443907269120 330965858600960 340467270809600 355788297996032 374513997890560 404304884086400 413707323251200 444735372495040 468142497363200 517510251630592 553756105830400 555919215618800 588079831398400 646887814538240 661931717201920 680934541619200 711576595992064 749027995781120 808609768172800 827414646502400 889470744990080 936284994726400 1111838431237600 1176159662796800 1293775629076480 1423153191984128 1498055991562240 1617219536345600 1654829293004800 1778941489980160 1872569989452800 2223676862475200 2587551258152960 2846306383968256 3234439072691200 3309658586009600 3557882979960320 3745139978905600 4447353724950400 5692612767936512 6468878145382400 7115765959920640 7490279957811200 8894707449900800 12937756290764800 14231531919841280 17789414899801600 28463063839682560 35578829799603200 71157659599206400 142315319198412800
- Sum of all divisors σ(n): 419805240388554240
- Sum of proper divisors (its aliquot sum) s(n): 277489921190141440
- 142315319198412800 is an abundant number, because the sum of its proper divisors (277489921190141440) is greater than itself. Its abundance is 135174601991728640
Bases of 142315319198412800
- Binary: 1111110011001101100000111010111101110101011110000000000002
- Hexadecimal: 0x1F99B075EEAF000
- Base-36: 12XAKJ2Q2Z28
Squares and roots of 142315319198412800
- 142315319198412800 squared (1423153191984128002) is 20253650078546122890734039203840000
- 142315319198412800 cubed (1423153191984128003) is 2882404675861249957712573105347630398703665152000000
-
The
square root of 142315319198412800 is 377247026.7588769215 -
The
cube root of 142315319198412800 is 522096.2217946761
Scales and comparisons
How big is 142315319198412800?- 142,315,319,198,412,800 seconds is equal to 4,525,186,940 years, 16 weeks, 5 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 142,315,319,198,412,800 would take you about thirteen billion, five hundred seventy-five million, five hundred sixty thousand, eight hundred twenty 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 142315319198412800 cubic inches would be around 43508 feet tall.
Recreational maths with 142315319198412800
- 142315319198412800 backwards is 008214891913513241
- The number of decimal digits it has is: 18
- The sum of 142315319198412800's digits is 62
- More coming soon!
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"Number 142315319198412800 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 142315319198412800 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/142315319198412800/
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The information we have on file for 142315319198412800 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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