10142324128972800
10,142,324,128,972,800 is an even composite number composed of five prime numbers multiplied together.
10142324128972800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 10142324128972800:
215 × 33 × 52 × 157 × 17092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 157 × 1709 × 1709)See below for interesting mathematical facts about the number 10142324128972800 from the Numbermatics database.
Names of 10142324128972800
- Cardinal: 10142324128972800 can be written as Ten quadrillion, one hundred forty-two trillion, three hundred twenty-four billion, one hundred twenty-eight million, nine hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.01423241289728 × 1016
Factors of 10142324128972800
Divisors of 10142324128972800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 128 135 144 150 157 160 180 192 200 216 225 240 256 270 288 300 314 320 360 384 400 432 450 471 480 512 540 576 600 628 640 675 720 768 785 800 864 900 942 960 1024 1080 1152 1200 1256 1280 1350 1413 1440 1536 1570 1600 1709 1728 1800 1884 1920 2048 2160 2304 2355 2400 2512 2560 2700 2826 2880 3072 3140 3200 3418 3456 3600 3768 3840 3925 4096 4239 4320 4608 4710 4800 5024 5120 5127 5400 5652 5760 6144 6280 6400 6836 6912 7065 7200 7536 7680 7850 8192 8478 8545 8640 9216 9420 9600 10048 10240 10254 10800 11304 11520 11775 12288 12560 12800 13672 13824 14130 14400 15072 15360 15381 15700 16384 16956 17090 17280 18432 18840 19200 20096 20480 20508 21195 21600 22608 23040 23550 24576 25120 25600 25635 27344 27648 28260 28800 30144 30720 30762 31400 32768 33912 34180 34560 35325 36864 37680 38400 40192 40960 41016 42390 42725 43200 45216 46080 46143 47100 49152 50240 51200 51270 54688 55296 56520 57600 60288 61440 61524 62800 67824 68360 69120 70650 73728 75360 76800 76905 80384 81920 82032 84780 85450 86400 90432 92160 92286 94200 98304 100480 102400 102540 105975 109376 110592 113040 115200 120576 122880 123048 125600 128175 135648 136720 138240 141300 147456 150720 153600 153810 160768 163840 164064 169560 170900 172800 180864 184320 184572 188400 200960 204800 205080 211950 218752 221184 226080 230400 230715 241152 245760 246096 251200 256350 268313 271296 273440 276480 282600 294912 301440 307200 307620 321536 328128 339120 341800 345600 361728 368640 369144 376800 384525 401920 409600 410160 423900 437504 442368 452160 460800 461430 482304 491520 492192 502400 512700 536626 542592 546880 552960 565200 602880 614400 615240 643072 656256 678240 683600 691200 723456 737280 738288 753600 769050 803840 804939 819200 820320 847800 875008 884736 904320 921600 922860 964608 984384 1004800 1025400 1073252 1085184 1093760 1105920 1130400 1153575 1205760 1228800 1230480 1286144 1312512 1341565 1356480 1367200 1382400 1446912 1474560 1476576 1507200 1538100 1607680 1609878 1640640 1695600 1750016 1808640 1843200 1845720 1929216 1968768 2009600 2050800 2146504 2170368 2187520 2211840 2260800 2307150 2411520 2414817 2457600 2460960 2572288 2625024 2683130 2712960 2734400 2764800 2893824 2920681 2953152 3014400 3076200 3215360 3219756 3281280 3391200 3500032 3617280 3686400 3691440 3858432 3937536 4019200 4024695 4101600 4293008 4340736 4375040 4423680 4521600 4614300 4823040 4829634 4921920 5144576 5250048 5366260 5425920 5468800 5529600 5787648 5841362 5906304 6028800 6152400 6430720 6439512 6562560 6707825 6782400 7000064 7234560 7244451 7372800 7382880 7716864 7875072 8038400 8049390 8203200 8586016 8681472 8750080 8762043 9043200 9228600 9646080 9659268 9843840 10500096 10732520 10851840 10937600 11059200 11575296 11682724 11812608 12057600 12074085 12304800 12861440 12879024 13125120 13415650 13564800 14000128 14469120 14488902 14603405 14765760 15433728 15750144 16076800 16098780 16406400 17172032 17362944 17500160 17524086 18086400 18457200 19292160 19318536 19687680 20123475 21000192 21465040 21703680 21875200 22118400 23150592 23365448 23625216 24115200 24148170 24609600 25722880 25758048 26250240 26286129 26831300 27129600 28000256 28938240 28977804 29206810 29531520 31500288 32153600 32197560 32812800 34344064 34725888 35000320 35048172 36172800 36222255 36914400 38584320 38637072 39375360 40246950 42000384 42930080 43407360 43750400 43810215 46301184 46730896 47250432 48230400 48296340 49219200 51516096 52500480 52572258 53662600 54259200 56000512 57876480 57955608 58413620 59063040 60370425 63000576 64307200 64395120 65625600 68688128 69451776 70000640 70096344 72345600 72444510 73017025 73828800 77168640 77274144 78750720 78858387 80493900 84000768 85860160 86814720 87500800 87620430 93461792 94500864 96460800 96592680 98438400 103032192 105000960 105144516 107325200 108518400 115752960 115911216 116827240 118126080 120740850 126001152 128614400 128790240 131251200 131430645 137376256 138903552 140001280 140192688 144691200 144889020 146034050 147657600 154548288 157501440 157716774 160987800 168001536 171720320 173629440 175001600 175240860 181111275 186923584 189001728 192921600 193185360 196876800 206064384 210001920 210289032 214650400 217036800 219051075 231505920 231822432 233654480 236252160 241481700 252002304 257580480 262502400 262861290 274752512 280002560 280385376 289382400 289778040 292068100 295315200 309096576 315002880 315433548 321975600 343440640 347258880 350003200 350481720 362222550 373847168 378003456 385843200 386370720 393753600 394291935 412128768 420003840 420578064 429300800 434073600 438102150 458546917 463644864 467308960 472504320 482963400 504004608 515160960 525004800 525722580 549505024 560770752 578764800 579556080 584136200 590630400 618193152 630005760 630867096 643951200 657153225 686881280 694517760 700006400 700963440 724445100 747694336 756006912 772741440 787507200 788583870 824257536 840007680 841156128 858601600 868147200 876204300 917093834 927289728 934617920 945008640 965926800 1030321920 1050009600 1051445160 1099010048 1121541504 1157529600 1159112160 1168272400 1181260800 1236386304 1260011520 1261734192 1287902400 1314306450 1373762560 1375640751 1400012800 1401926880 1448890200 1495388672 1512013824 1545482880 1575014400 1577167740 1648515072 1682312256 1717203200 1736294400 1752408600 1834187668 1854579456 1869235840 1890017280 1931853600 1971459675 2060643840 2100019200 2102890320 2198020096 2243083008 2292734585 2318224320 2336544800 2362521600 2472772608 2520023040 2523468384 2575804800 2628612900 2747525120 2751281502 2803853760 2897780400 2990777344 3090965760 3150028800 3154335480 3297030144 3364624512 3434406400 3472588800 3504817200 3668375336 3709158912 3738471680 3780034560 3863707200 3942919350 4121287680 4126922253 4200038400 4205780640 4396040192 4486166016 4585469170 4636448640 4673089600 4725043200 4945545216 5046936768 5151609600 5257225800 5495050240 5502563004 5607707520 5795560800 5981554688 6181931520 6300057600 6308670960 6594060288 6729249024 6868812800 6878203755 7009634400 7336750672 7418317824 7476943360 7560069120 7727414400 7885838700 8242575360 8253844506 8411561280 8792080384 8972332032 9170938340 9272897280 9346179200 9450086400 9891090432 10093873536 10303219200 10514451600 10990100480 11005126008 11215415040 11463672925 11591121600 11963109376 12363863040 12380766759 12600115200 12617341920 13188120576 13458498048 13737625600 13756407510 14019268800 14673501344 14836635648 14953886720 15454828800 15771677400 16485150720 16507689012 16823122560 17944664064 18341876680 18545794560 18692358400 18900172800 19782180864 20187747072 20606438400 20634611265 21028903200 21980200960 22010252016 22430830080 22927345850 23182243200 23926218752 24727726080 24761533518 25234683840 26376241152 26916996096 27475251200 27512815020 28038537600 29347002688 29673271296 29907773440 30909657600 31543354800 32970301440 33015378024 33646245120 34391018775 35889328128 36683753360 37091589120 37384716800 37800345600 39564361728 40375494144 41212876800 41269222530 42057806400 43960401920 44020504032 44861660160 45854691700 46364486400 47852437504 49455452160 49523067036 50469367680 53833992192 54950502400 55025630040 56077075200 58694005376 59346542592 59815546880 61819315200 61903833795 63086709600 65940602880 66030756048 67292490240 68782037550 71778656256 73367506720 74183178240 74769433600 79128723456 80750988288 82425753600 82538445060 84115612800 88041008064 89723320320 91709383400 92728972800 95704875008 98910904320 99046134072 100938735360 103173056325 107667984384 109901004800 110051260080 112154150400 117388010752 118693085184 119631093760 123638630400 123807667590 126173419200 131881205760 132061512096 134584980480 137564075100 143557312512 146735013440 148366356480 149538867200 161501976576 164851507200 165076890120 168231225600 176082016128 179446640640 183418766800 185457945600 197821808640 198092268144 201877470720 206346112650 215335968768 219802009600 220102520160 224308300800 234776021504 237386170368 239262187520 247277260800 247615335180 252346838400 264123024192 269169960960 275128150200 287114625024 293470026880 296732712960 299077734400 309519168975 323003953152 329703014400 330153780240 336462451200 352164032256 358893281280 366837533600 370915891200 395643617280 396184536288 403754941440 412692225300 430671937536 440205040320 448616601600 469552043008 478524375040 494554521600 495230670360 504693676800 528246048384 538339921920 550256300400 586940053760 593465425920 598155468800 619038337950 646007906304 659406028800 660307560480 672924902400 704328064512 717786562560 733675067200 741831782400 792369072576 807509882880 825384450600 861343875072 880410080640 897233203200 939104086016 989109043200 990461340720 1009387353600 1056492096768 1076679843840 1100512600800 1173880107520 1186930851840 1196310937600 1238076675900 1292015812608 1320615120960 1345849804800 1408656129024 1435573125120 1467350134400 1483663564800 1584738145152 1615019765760 1650768901200 1760820161280 1794466406400 1878208172032 1978218086400 1980922681440 2018774707200 2112984193536 2153359687680 2201025201600 2347760215040 2392621875200 2476153351800 2584031625216 2641230241920 2691699609600 2817312258048 2934700268800 2967327129600 3169476290304 3230039531520 3301537802400 3521640322560 3588932812800 3756416344064 3961845362880 4037549414400 4225968387072 4306719375360 4402050403200 4695520430080 4952306703600 5282460483840 5383399219200 5634624516096 5869400537600 5934654259200 6338952580608 6460079063040 6603075604800 7043280645120 7177865625600 7512832688128 7923690725760 8075098828800 8451936774144 8804100806400 9391040860160 9904613407200 10564920967680 10766798438400 11269249032192 11738801075200 12677905161216 12920158126080 13206151209600 14086561290240 15025665376256 15847381451520 16150197657600 16903873548288 17608201612800 18782081720320 19809226814400 21129841935360 21533596876800 22538498064384 23477602150400 25355810322432 26412302419200 28173122580480 31694762903040 32300395315200 33807747096576 35216403225600 37564163440640 39618453628800 42259683870720 45076996128768 46955204300800 50711620644864 52824604838400 56346245160960 63389525806080 64600790630400 67615494193152 70432806451200 75128326881280 79236907257600 84519367741440 93910408601600 101423241289728 105649209676800 112692490321920 126779051612160 135230988386304 140865612902400 158473814515200 169038735482880 187820817203200 202846482579456 211298419353600 225384980643840 253558103224320 281731225804800 316947629030400 338077470965760 375641634406400 405692965158912 422596838707200 507116206448640 563462451609600 633895258060800 676154941931520 845193677414400 1014232412897280 1126924903219200 1267790516121600 1690387354828800 2028464825794560 2535581032243200 3380774709657600 5071162064486400 10142324128972800
- Sum of all divisors σ(n): 37522381748725200
- Sum of proper divisors (its aliquot sum) s(n): 27380057619752400
- 10142324128972800 is an abundant number, because the sum of its proper divisors (27380057619752400) is greater than itself. Its abundance is 17237733490779600
Bases of 10142324128972800
- Binary: 1001000000100001100011110110101110011110000000000000002
- Hexadecimal: 0x240863DAE78000
- Base-36: 2RV5JDRCAO0
Squares and roots of 10142324128972800
- 10142324128972800 squared (101423241289728002) is 102866738737143866208383139840000
- 10142324128972800 cubed (101423241289728003) is 1043307806362475247495981748115145177956352000000
-
The
square root of 10142324128972800 is 100709106.4848298611 -
The
cube root of 10142324128972800 is 216460.7515001905
Scales and comparisons
How big is 10142324128972800?- 10,142,324,128,972,800 seconds is equal to 322,494,535 years, 1 week, 5 days.
-
To count from 1 to 10,142,324,128,972,800 would take you about nine hundred sixty-seven million, four hundred eighty-three thousand, six hundred five 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 10142324128972800 cubic inches would be around 18038.4 feet tall.
Recreational maths with 10142324128972800
- 10142324128972800 backwards is 00827982142324101
- 10142324128972800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 10142324128972800's digits is 54
- More coming soon!
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The information we have on file for 10142324128972800 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 10142324128972800, math, Factors of 10142324128972800, curriculum, school, college, exams, university, Prime factorization of 10142324128972800, STEM, science, technology, engineering, physics, economics, calculator, ten quadrillion, one hundred forty-two trillion, three hundred twenty-four billion, one hundred twenty-eight million, nine hundred seventy-two thousand, eight hundred.