442142136869888
442,142,136,869,888 is an even composite number composed of six prime numbers multiplied together.
442142136869888 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 442142136869888:
210 × 73 × 132 × 23 × 312 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 23 × 31 × 31 × 337)See below for interesting mathematical facts about the number 442142136869888 from the Numbermatics database.
Names of 442142136869888
- Cardinal: 442142136869888 can be written as Four hundred forty-two trillion, one hundred forty-two billion, one hundred thirty-six million, eight hundred sixty-nine thousand, eight hundred eighty-eight.
Scientific notation
- Scientific notation: 4.42142136869888 × 1014
Factors of 442142136869888
Divisors of 442142136869888
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 4 7 8 13 14 16 23 26 28 31 32 46 49 52 56 62 64 91 92 98 104 112 124 128 161 169 182 184 196 208 217 224 248 256 299 322 337 338 343 364 368 392 403 416 434 448 496 512 598 637 644 674 676 686 713 728 736 784 806 832 868 896 961 992 1024 1127 1183 1196 1274 1288 1348 1352 1372 1426 1456 1472 1519 1568 1612 1664 1736 1792 1922 1984 2093 2254 2359 2366 2392 2548 2576 2696 2704 2744 2821 2852 2912 2944 3038 3136 3224 3328 3472 3584 3844 3887 3968 4186 4381 4459 4508 4718 4732 4784 4991 5096 5152 5239 5392 5408 5488 5642 5704 5824 5888 6076 6272 6448 6656 6727 6944 7168 7688 7751 7774 7889 7936 8281 8372 8762 8918 9016 9269 9436 9464 9568 9982 10192 10304 10447 10478 10633 10784 10816 10976 11284 11408 11648 11776 12152 12493 12544 12896 13312 13454 13888 14651 15376 15502 15548 15778 15872 16513 16562 16744 17524 17836 18032 18538 18872 18928 19136 19747 19964 20384 20608 20894 20956 21266 21568 21632 21952 22103 22568 22816 23296 23552 24304 24986 25088 25792 26908 27209 27776 29302 30667 30752 31004 31096 31556 31744 33026 33124 33488 34937 35048 35672 36064 36673 37076 37744 37856 38272 39494 39928 40768 41216 41788 41912 42532 43136 43264 43904 44206 45136 45632 46592 47089 48608 49972 50176 51584 53816 54257 54418 55552 56953 57967 58604 61334 61504 62008 62192 63112 64883 66052 66248 66976 69874 70096 71344 72128 73129 73346 74152 75488 75712 76544 78988 79856 81536 82432 83576 83824 85064 86272 86528 87451 87808 88412 90272 91264 93184 94178 97216 99944 100763 102557 103168 107632 108514 108836 111104 113906 115591 115934 117208 120497 122668 123008 124016 124384 126224 129766 132104 132496 133952 135811 138229 139748 140192 142688 144256 146258 146692 148304 150976 151424 153088 154721 157976 159712 162409 163072 164864 167152 167648 170128 172544 173056 174902 175616 176824 180544 182528 188356 190463 194432 199888 201526 205114 206336 214669 215264 217028 217672 222208 227812 231182 231868 234416 240281 240994 244559 245336 246016 248032 248768 252448 256711 259532 264208 264992 267904 271622 276458 279496 280384 285376 287339 288512 292516 293384 296608 301952 302848 306176 309442 315952 319424 323857 324818 326144 329623 334304 335296 340256 345088 349804 351232 353648 361088 365056 376712 379799 380926 388864 398671 399776 403052 410228 412672 429338 430528 434056 435344 454181 455624 462364 463736 468832 480562 481988 489118 490672 492032 496064 497536 504896 511903 513422 519064 528416 529984 535808 543244 552916 558992 560768 570752 574678 577024 585032 586768 593216 603904 605696 612157 618884 631904 638848 647714 649636 652288 659246 668608 670592 680512 699608 705341 707296 722176 730112 753424 759598 761852 777728 797342 799552 806104 820456 843479 858676 861056 868112 870688 908362 911248 924728 927472 937664 950677 961124 963976 978236 981344 984064 992128 995072 1009792 1023806 1026844 1038128 1056832 1059968 1071616 1083047 1086488 1105832 1117984 1121536 1136863 1141504 1149356 1154048 1170064 1173536 1186432 1207808 1211392 1224314 1237768 1263808 1277696 1295428 1299272 1309919 1318492 1333241 1337216 1341184 1361024 1399216 1410682 1414592 1444352 1502683 1506848 1519196 1523704 1555456 1594684 1599104 1612208 1640912 1681967 1686958 1717352 1722112 1736224 1741376 1765543 1796977 1816724 1822496 1849456 1854944 1875328 1901354 1922248 1927952 1956472 1962688 1984256 1990144 2011373 2019584 2047612 2053688 2076256 2113664 2119936 2143232 2166094 2172976 2211664 2235968 2243072 2266999 2273726 2283008 2298712 2340128 2347072 2372864 2415616 2448628 2475536 2527616 2555392 2590856 2598544 2619838 2636984 2658593 2666482 2674432 2682368 2722048 2790697 2798432 2821364 2829184 2888704 3005366 3013696 3038392 3047408 3123653 3179267 3189368 3198208 3224416 3281824 3363934 3373916 3434704 3444224 3472448 3482752 3531086 3583321 3593954 3633448 3644992 3698912 3709888 3735407 3750656 3802708 3844496 3855904 3912944 3925376 3968512 3980288 4022746 4039168 4095224 4107376 4152512 4210141 4227328 4239872 4285099 4332188 4345952 4423328 4471936 4486144 4533998 4547452 4566016 4597424 4680256 4694144 4745728 4897256 4937387 4951072 5055232 5110784 5181712 5197088 5239676 5273968 5317186 5332964 5348864 5364736 5444096 5581394 5596864 5642728 5658368 5904353 6010732 6027392 6076784 6094816 6247306 6358534 6378736 6396416 6448832 6563648 6654739 6727868 6747832 6869408 6888448 6944896 6965504 7062172 7166642 7187908 7266896 7289984 7397824 7419776 7448711 7470814 7501312 7581329 7605416 7688992 7711808 7825888 7850752 7937024 7958041 8045492 8078336 8190448 8214752 8305024 8420282 8454656 8479744 8570198 8664376 8691904 8846656 8943872 9067996 9094904 9169433 9194848 9360512 9388288 9491456 9794512 9874774 9902144 10110464 10363424 10394176 10479352 10547936 10634372 10665928 10697728 10888192 11162788 11193728 11285456 11316736 11773769 11808706 12021464 12054784 12153568 12189632 12358801 12494612 12717068 12757472 12792832 12897664 13127296 13309478 13455736 13495664 13738816 13889792 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312558064 313424384 315992768 324859912 329665532 330643768 331629568 335339264 337533952 340299904 341309696 346046428 349849136 357209216 361134592 364986839 366069886 372665384 376760608 377878592 383122831 384686848 387332972 388914176 394229108 395481632 399827584 406946176 408239104 412593818 417127816 418365584 425903296 430583552 431861248 437854664 444331804 445650296 449302217 450547552 451979008 458665088 460026112 465081344 471535792 476717504 478132096 485205056 486746624 507807776 509314624 513488248 514911488 524188672 538898048 548492672 552987344 554520064 568504846 580351744 582073856 586843712 605581249 612235988 625116128 626848768 631985536 649719824 659331064 661287536 670678528 677832701 680599808 682619392 692092856 699698272 714418432 722269184 729973678 732139772 745330768 753521216 755757184 766245662 769373696 774665944 788458216 790963264 799655168 813892352 825187636 834255632 836731168 851806592 861167104 863722496 875709328 888663608 891300592 898604434 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10001858048 10070657272 10219631492 10249956808 10395517184 10549297024 10580600576 10727439268 10845323216 11073485696 11195172352 11552626904 11679578848 11714236352 11925292288 12056339456 12259930592 12394655104 12615331456 12655412224 13203002176 13348090112 13387698688 13928368727 14011349248 14218617728 14260809472 14377670944 14417521664 15089145344 15918135688 16249848832 16431623936 17142607664 17623650226 17695595008 18192155072 18773018719 18979315628 19378599968 19591551616 20003716096 20141314544 20439262984 20499913616 20791034368 21098594048 21161201152 21454878536 21690646432 22146971392 22390344704 23105253808 23359157696 23428472704 23850584576 24519861184 24789310208 25230662912 26406004352 26696180224 26775397376 27856737454 28022698496 28437235456 28521618944 28755341888 30178290688 31836271376 32863247872 33213802349 34285215328 35247300452 35391190016 36384310144 37546037438 37958631256 38757199936 39183103232 40282629088 40878525968 40999827232 41582068736 42197188096 42322402304 42909757072 43381292864 44293942784 46210507616 46718315392 46856945408 47701169152 49039722368 49578620416 50461325824 52812008704 53392360448 55713474908 56045396992 56874470912 57043237888 57510683776 61682775791 63672542752 65726495744 66427604698 68570430656 70494600904 72768620288 75092074876 75917262512 77514399872 78366206464 80565258176 81757051936 81999654464 84394376192 85819514144 86762585728 88587885568 92421015232 93436630784 93713890816 98079444736 99157240832 100922651648 105624017408 111426949816 113748941824 115021367552 123365551582 127345085504 132855209396 137140861312 140989201808 145537240576 150184149752 151834525024 155028799744 156732412928 161130516352 163514103872 163999308928 171639028288 173525171456 184842030464 186873261568 187427781632 196158889472 211248034816 222853899632 230042735104 246731103164 254690171008 265710418792 274281722624 281978403616 291074481152 300368299504 303669050048 310057599488 322261032704 327028207744 327998617856 343278056576 347050342912 369684060928 373746523136 392317778944 431779430537 445707799264 460085470208 493462206328 509380342016 531420837584 548563445248 563956807232 600736599008 607338100096 620115198976 644522065408 654056415488 655997235712 686556113152 694100685824 739368121856 863558861074 891415598528 986924412656 1018760684032 1062841675168 1097126890496 1127913614464 1201473198016 1214676200192 1289044130816 1308112830976 1311994471424 1373112226304 1478736243712 1727117722148 1782831197056 1973848825312 2037521368064 2125683350336 2255827228928 2402946396032 2429352400384 2616225661952 2746224452608 3454235444296 3565662394112 3947697650624 4251366700672 4511654457856 4805892792064 4858704800768 6908470888592 7131324788224 7895395301248 8502733401344 9023308915712 9611785584128 13816941777184 14262649576448 15790790602496 17005466802688 19223571168256 27633883554368 31581581204992 34010933605376 55267767108736 63163162409984 110535534217472 221071068434944 442142136869888
- Sum of all divisors σ(n): 1206996787526400
- Sum of proper divisors (its aliquot sum) s(n): 764854650656512
- 442142136869888 is an abundant number, because the sum of its proper divisors (764854650656512) is greater than itself. Its abundance is 322712513786624
Bases of 442142136869888
- Binary: 11001001000100000001111010000001000100100000000002
- Hexadecimal: 0x192203D022400
- Base-36: 4CQ5AKIQRK
Squares and roots of 442142136869888
- 442142136869888 squared (4421421368698882) is 195489669195870773558241132544
- 442142136869888 cubed (4421421368698883) is 86434220074249823558470690215094536290435072
-
The
square root of 442142136869888 is 21027176.1506362999 -
The
cube root of 442142136869888 is 76182.2804276449
Scales and comparisons
How big is 442142136869888?- 442,142,136,869,888 seconds is equal to 14,058,752 years, 16 weeks, 3 days, 9 hours, 38 minutes, 8 seconds.
-
To count from 1 to 442,142,136,869,888 would take you about thirty-five million, one hundred forty-six thousand, eight hundred eighty 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 442142136869888 cubic inches would be around 6348.5 feet tall.
Recreational maths with 442142136869888
- 442142136869888 backwards is 888968631241244
- The number of decimal digits it has is: 15
- The sum of 442142136869888's digits is 74
- More coming soon!
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"Number 442142136869888 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 442142136869888 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/442142136869888/
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Numbermatics. 2024. "Number 442142136869888 - Facts about the integer". https://numbermatics.com/n/442142136869888/
The information we have on file for 442142136869888 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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