42145084924800
42,145,084,924,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42145084924800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
42145084924800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42145084924800:
27 × 3 × 52 × 11 × 13 × 53 × 127 × 4561
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 53 × 127 × 4561)See below for interesting mathematical facts about the number 42145084924800 from the Numbermatics database.
Names of 42145084924800
- Cardinal: 42145084924800 can be written as Forty-two trillion, one hundred forty-five billion, eighty-four million, nine hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 4.21450849248 × 1013
Factors of 42145084924800
Divisors of 42145084924800
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 53 55 60 64 65 66 75 78 80 88 96 100 104 106 110 120 127 128 130 132 143 150 156 159 160 165 176 192 195 200 208 212 220 240 254 260 264 265 275 286 300 312 318 320 325 330 352 381 384 390 400 416 424 429 440 480 508 520 528 530 550 572 583 600 624 635 636 640 650 660 689 704 715 762 780 795 800 825 832 848 858 880 960 975 1016 1040 1056 1060 1100 1144 1166 1200 1248 1270 1272 1300 1320 1325 1378 1397 1408 1430 1524 1560 1590 1600 1650 1651 1664 1696 1716 1749 1760 1905 1920 1950 2032 2067 2080 2112 2120 2145 2200 2288 2332 2400 2496 2540 2544 2600 2640 2650 2756 2794 2860 2915 3048 3120 3175 3180 3200 3300 3302 3392 3432 3445 3498 3520 3575 3810 3900 3975 4064 4134 4160 4191 4224 4240 4290 4400 4561 4576 4664 4800 4953 4992 5080 5088 5200 5280 5300 5512 5588 5720 5830 6096 6240 6350 6360 6600 6604 6731 6784 6864 6890 6985 6996 7040 7150 7579 7620 7800 7950 8128 8255 8268 8320 8382 8480 8580 8745 8800 9122 9152 9328 9525 9600 9906 10160 10176 10335 10400 10560 10600 10725 11024 11176 11440 11660 12192 12480 12700 12720 13200 13208 13462 13683 13728 13780 13970 13992 14300 14575 15158 15240 15600 15900 16256 16510 16536 16764 16960 17160 17225 17490 17600 18161 18244 18304 18656 19050 19812 20193 20320 20352 20670 20800 20955 21120 21200 21450 22048 22352 22737 22805 22880 23320 24384 24765 24960 25400 25440 26400 26416 26924 27366 27456 27560 27940 27984 28600 29150 30316 30480 31200 31800 33020 33072 33528 33655 33920 34320 34450 34925 34980 35200 36322 36488 37312 37895 38100 39624 40386 40640 41275 41340 41600 41910 42400 42900 43725 44096 44704 45474 45610 45760 46640 48768 49530 50171 50800 50880 51675 52800 52832 53848 54483 54732 54912 55120 55880 55968 57200 58300 59293 60632 60960 62400 63600 66040 66144 67056 67310 68415 68640 68900 69850 69960 72644 72976 74041 74624 75790 76200 79248 80772 81280 82550 82680 83820 84800 85800 87450 87503 88192 89408 90805 90948 91220 91520 93280 99060 100342 100965 101600 101760 103350 104775 105600 105664 107696 108966 109464 110240 111760 111936 113685 114025 114400 116600 118586 121264 121920 123825 124800 127200 132080 132288 134112 134620 136830 137280 137800 139700 139920 145288 145952 148082 150513 151580 152400 158496 161544 165100 165360 167640 168275 169600 171600 174900 175006 177879 178816 181610 181896 182440 186560 189475 198120 200684 201930 203200 206700 209550 211328 215392 217932 218928 220480 222123 223520 223872 227370 228050 228800 233200 237172 241733 242528 243840 247650 250855 254400 262509 264160 264576 268224 269240 272415 273660 274560 275600 279400 279840 290576 291904 296164 296465 301026 303160 304800 316992 323088 330200 330720 335280 336550 342075 343200 349800 350012 355758 363220 363792 364880 370205 373120 378950 396240 401368 403860 406400 413400 419100 430784 435864 437515 437856 440960 444246 447040 454025 454740 456100 457600 466400 474344 483466 485056 495300 501710 504825 508800 525018 528320 536448 538480 544830 547320 551200 558800 559680 568425 579247 581152 583808 592328 592930 602052 606320 609600 633984 646176 652223 660400 661440 670560 673100 684150 686400 699600 700024 711516 725199 726440 727584 729760 740410 752565 757900 792480 802736 807720 826800 838200 861568 871728 875030 875712 888492 889395 894080 908050 909480 912200 932800 948688 962533 966932 970112 990600 1003420 1009650 1050036 1056640 1076960 1089660 1094640 1102400 1110615 1117600 1119360 1136850 1158494 1162304 1184656 1185860 1204104 1208665 1212640 1219200 1254275 1292352 1304446 1312545 1320800 1322880 1341120 1346200 1362075 1368300 1372800 1399200 1400048 1423032 1450398 1452880 1455168 1459520 1480820 1482325 1505130 1515800 1584960 1605472 1615440 1653600 1676400 1737741 1743456 1750060 1751424 1776984 1778790 1816100 1818960 1824400 1851025 1865600 1897376 1925066 1933864 1956669 1981200 2006840 2019300 2100072 2153920 2179320 2187575 2189280 2204800 2221230 2235200 2273700 2316988 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368401092 369612672 370718080 376510550 377103480 382303020 385013200 386772800 391333800 398859450 399101183 402243712 407789888 414161605 414813828 417422720 420014400 425450080 451812660 460501365 462015840 463397600 464127360 471379350 477878775 481641600 481933504 491201456 496993926 502804640 509737360 510540096 518517285 521778400 531812600 553085104 556077120 564765825 569212800 577519800 580159200 602416880 603365568 611684832 614001820 616021120 626134080 628505800 637171700 638175120 662658568 675402002 691356380 695096400 710793600 722900256 736802184 753021100 754206960 764606040 767502275 770026400 773545600 782667600 797718900 798202366 815579776 828323210 829627656 840028800 850900160 864195475 903625320 921002730 924031680 926795200 942758700 955757550 963867008 982402912 993987852 1005609280 1013103003 1019474720 1021080192 1037034570 1043556800 1063625200 1106170208 1112154240 1129531650 1155039600 1160318400 1197303549 1204833760 1206731136 1223369664 1228003640 1242484815 1252268160 1257011600 1274343400 1276350240 1325317136 1350804004 1382712760 1390192800 1445800512 1473604368 1506042200 1508413920 1529212080 1535004550 1540052800 1565335200 1595437800 1596404732 1656646420 1659255312 1688505005 1701800320 1728390950 1807250640 1842005460 1848063360 1853590400 1885517400 1911515100 1964805824 1987975704 1995505915 2011218560 2026206006 2038949440 2070808025 2074069140 2087113600 2127250400 2212340416 2259063300 2302506825 2310079200 2320636800 2394607098 2409667520 2446739328 2456007280 2484969630 2514023200 2548686800 2552700480 2592586425 2650634272 2701608008 2765425520 2780385600 2891601024 2947208736 3012084400 3016827840 3058424160 3070009100 3080105600 3130670400 3190875600 3192809464 3313292840 3318510624 3377010010 3456781900 3614501280 3684010920 3771034800 3823030200 3929611648 3975951408 3991011830 4052412012 4077898880 4141616050 4148138280 4254500800 4390113013 4424680832 4518126600 4605013650 4620158400 4789214196 4819335040 4912014560 4969939260 5028046400 5065515015 5097373600 5105400960 5185172850 5301268544 5403216016 5530851040 5560771200 5894417472 5986517745 6024168800 6033655680 6116848320 6140018200 6212424075 6261340800 6381751200 6385618928 6626585680 6637021248 6754020020 6913563800 7229002560 7368021840 7542069600 7646060400 7951902816 7982023660 8104824024 8283232100 8296276560 8442525025 8509001600 8780226026 9036253200 9210027300 9240316800 9578428392 9824029120 9939878520 9977529575 10056092800 10131030030 10194747200 10370345700 10602537088 10806432032 11061702080 11788834944 11973035490 12048337600 12233696640 12280036400 12424848150 12763502400 12771237856 13170339039 13253171360 13274042496 13508040040 13827127600 14458005120 14736043680 15084139200 15292120800 15903805632 15964047320 16209648048 16566464200 16592553120 16885050050 17560452052 18072506400 18420054600 19156856784 19648058240 19879757040 19955059150 20262060060 20389494400 20740691400 21612864064 21950565065 22123404160 23946070980 24096675200 24560072800 24849696300 25327575075 25527004800 25542475712 26340678078 26506342720 27016080080 27654255200 29472087360 29932588725 30168278400 30584241600 31807611264 31928094640 32419296096 33132928400 33185106240 33770100100 35120904104 36145012800 36840109200 38313713568 39759514080 39910118300 40524120120 41481382800 43225728128 43901130130 47892141960 49120145600 49699392600 50655150150 51084951424 52681356156 53012685440 54032160160 55308510400 58944174720 59865177450 61168483200 63856189280 64838592192 65851695195 66265856800 66370212480 67540200200 70241808208 72290025600 73680218400 76627427136 79519028160 79820236600 81048240240 82962765600 87802260260 95784283920 98240291200 99398785200 101310300300 105362712312 108064320320 109752825325 110617020800 119730354900 127712378560 129677184384 131703390390 132531713600 135080400400 140483616416 147360436800 153254854272 159038056320 159640473200 162096480480 165925531200 175604520520 191568567840 198797570400 202620600600 210725424624 216128640640 219505650650 239460709800 255424757120 263406780780 265063427200 270160800800 280967232832 294720873600 319280946400 324192960960 329258475975 331851062400 351209041040 383137135680 397595140800 405241201200 421450849248 439011301300 478921419600 526813561560 540321601600 561934465664 638561892800 648385921920 658516951950 702418082080 766274271360 795190281600 810482402400 842901698496 878022602600 957842839200 1053627123120 1080643203200 1277123785600 1317033903900 1404836164160 1620964804800 1685803396992 1756045205200 1915685678400 2107254246240 2634067807800 2809672328320 3241929609600 3512090410400 3831371356800 4214508492480 5268135615600 7024180820800 8429016984960 10536271231200 14048361641600 21072542462400 42145084924800
- Sum of all divisors σ(n): 167505918935040
- Sum of proper divisors (its aliquot sum) s(n): 125360834010240
- 42145084924800 is an abundant number, because the sum of its proper divisors (125360834010240) is greater than itself. Its abundance is 83215749085440
Bases of 42145084924800
- Binary: 10011001010100101010101101000011100011100000002
- Hexadecimal: 0x2654AAD0E380
- Base-36: EXT6NERUO
Squares and roots of 42145084924800
- 42145084924800 squared (421450849248002) is 1776208183318604221655040000
- 42145084924800 cubed (421450849248003) is 74858444730087301617451464009940992000000
-
The
square root of 42145084924800 is 6491924.5932774049 -
The
cube root of 42145084924800 is 34800.2457718143
Scales and comparisons
How big is 42145084924800?- 42,145,084,924,800 seconds is equal to 1,340,083 years, 17 weeks, 3 days, 18 hours, 40 minutes.
-
To count from 1 to 42,145,084,924,800 would take you about three million, three hundred fifty thousand, two hundred eight 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 42145084924800 cubic inches would be around 2900 feet tall.
Recreational maths with 42145084924800
- 42145084924800 backwards is 00842948054124
- The number of decimal digits it has is: 14
- The sum of 42145084924800's digits is 51
- More coming soon!
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"Number 42145084924800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 42145084924800 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/42145084924800/
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The information we have on file for 42145084924800 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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