42141951941281920
42,141,951,941,281,920 is an even composite number composed of seven prime numbers multiplied together.
42141951941281920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 42141951941281920:
27 × 32 × 5 × 7 × 13 × 79 × 1017709153
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 79 × 1017709153)See below for interesting mathematical facts about the number 42141951941281920 from the Numbermatics database.
Names of 42141951941281920
- Cardinal: 42141951941281920 can be written as Forty-two quadrillion, one hundred forty-one trillion, nine hundred fifty-one billion, nine hundred forty-one million, two hundred eighty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.214195194128192 × 1016
Factors of 42141951941281920
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 1017709262
Divisors of 42141951941281920
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 79 80 84 90 91 96 104 105 112 117 120 126 128 130 140 144 156 158 160 168 180 182 192 195 208 210 224 234 237 240 252 260 273 280 288 312 315 316 320 336 360 364 384 390 395 416 420 448 455 468 474 480 504 520 546 553 560 576 585 624 630 632 640 672 711 720 728 780 790 819 832 840 896 910 936 948 960 1008 1027 1040 1092 1106 1120 1152 1170 1185 1248 1260 1264 1344 1365 1422 1440 1456 1560 1580 1638 1659 1664 1680 1820 1872 1896 1920 2016 2054 2080 2184 2212 2240 2340 2370 2496 2520 2528 2688 2730 2765 2844 2880 2912 3081 3120 3160 3276 3318 3360 3555 3640 3744 3792 4032 4095 4108 4160 4368 4424 4480 4680 4740 4977 4992 5040 5056 5135 5460 5530 5688 5760 5824 6162 6240 6320 6552 6636 6720 7110 7189 7280 7488 7584 8064 8190 8216 8295 8320 8736 8848 9243 9360 9480 9954 10080 10112 10270 10920 11060 11376 11648 12324 12480 12640 13104 13272 13440 14220 14378 14560 14976 15168 15405 16380 16432 16590 17472 17696 18486 18720 18960 19908 20160 20540 21567 21840 22120 22752 24648 24885 24960 25280 26208 26544 28440 28756 29120 30336 30810 32760 32864 33180 34944 35392 35945 36972 37440 37920 39816 40320 41080 43134 43680 44240 45504 46215 49296 49770 50560 52416 53088 56880 57512 58240 61620 64701 65520 65728 66360 70784 71890 73944 74880 75840 79632 82160 86268 87360 88480 91008 92430 98592 99540 104832 106176 107835 113760 115024 123240 129402 131040 131456 132720 143780 147888 151680 159264 164320 172536 174720 176960 184860 197184 199080 212352 215670 227520 230048 246480 258804 262080 265440 287560 295776 318528 323505 328640 345072 353920 369720 394368 398160 431340 455040 460096 492960 517608 524160 530880 575120 591552 637056 647010 657280 690144 739440 796320 862680 920192 985920 1035216 1061760 1150240 1183104 1294020 1380288 1478880 1592640 1725360 1971840 2070432 2300480 2588040 2760576 2957760 3185280 3450720 4140864 4600960 5176080 5915520 6901440 8281728 10352160 13802880 20704320 41408640 1017709153 2035418306 3053127459 4070836612 5088545765 6106254918 7123964071 8141673224 9159382377 10177091530 12212509836 13230218989 14247928142 15265637295 16283346448 18318764754 20354183060 21371892213 24425019672 26460437978 28495856284 30531274590 32566692896 35619820355 36637529508 39690656967 40708366120 42743784426 45796911885 48850039344 52920875956 56991712568 61062549180 64115676639 65133385792 66151094945 71239640710 73275059016 79381313934 80399023087 81416732240 85487568852 91593823770 92611532923 97700078688 105841751912 106859461065 113983425136 119071970901 122125098360 128231353278 130266771584 132302189890 142479281420 146550118032 158762627868 160798046174 162833464480 170975137704 183187647540 185223065846 195400157376 198453284835 211683503824 213718922130 227966850272 238143941802 241197069261 244250196720 256462706556 264604379780 277834598769 284958562840 293100236064 317525255736 320578383195 321596092348 325666928960 341950275408 366375295080 370446131692 390800314752 396906569670 401995115435 423367007648 427437844260 455933700544 463057664615 476287883604 482394138522 488500393440 512925413112 529208759560 555669197538 562793161609 569917125680 586200472128 595359854505 635050511472 641156766390 643192184696 651333857920 683900550816 723591207783 732750590160 740892263384 793813139340 803990230870 833503796307 846734015296 854875688520 911867401088 926115329230 952575767208 964788277044 977000786880 1025850826224 1045187300131 1058417519120 1111338395076 1125586323218 1139834251360 1172400944256 1190719709010 1205985346305 1270101022944 1282313532780 1286384369392 1367801101632 1389172993845 1447182415566 1465501180320 1481784526768 1587626278680 1607980461740 1667007592614 1688379484827 1693468030592 1709751377040 1852230658460 1905151534416 1929576554088 1954001573760 2051701652448 2090374600262 2116835038240 2222676790152 2251172646436 2279668502720 2381439418020 2411970692610 2540202045888 2564627065560 2572768738784 2735602203264 2778345987690 2813965808045 2894364831132 2931002360640 2963569053536 3135561900393 3175252557360 3215960923480 3334015185228 3376758969654 3419502754080 3617956038915 3704461316920 3810303068832 3859153108176 4103403304896 4167518981535 4180749200524 4233670076480 4445353580304 4502345292872 4559337005440 4762878836040 4823941385220 5065138454481 5080404091776 5129254131120 5145537477568 5225936500655 5556691975380 5627931616090 5788729662264 5862004721280 5927138107072 6271123800786 6350505114720 6431921846960 6668030370456 6753517939308 6839005508160 7235912077830 7316311100917 7408922633840 7620606137664 7718306216352 8206806609792 8335037963070 8361498401048 8441897424135 8467340152960 8890707160608 9004690585744 9406685701179 9525757672080 9647882770440 10130276908962 10258508262240 10291074955136 10451873001310 11113383950760 11255863232180 11577459324528 11854276214144 12542247601572 12701010229440 12863843693920 13336060740912 13507035878616 13678011016320 14471824155660 14632622201834 14817845267680 15241212275328 15436612432704 15677809501965 16670075926140 16722996802096 16883794848270 17781414321216 18009381171488 18813371402358 19051515344160 19295765540880 20260553817924 20517016524480 20903746002620 21948933302751 22226767901520 22511726464360 23154918649056 25084495203144 25325692272405 25402020458880 25727687387840 26672121481824 27014071757232 28943648311320 29265244403668 29635690535360 30873224865408 31355619003930 33340151852280 33445993604192 33767589696540 35562828642432 36018762342976 36581555504585 37626742804716 38103030688320 38591531081760 40521107635848 41034033048960 41807492005240 43897866605502 44453535803040 45023452928720 46309837298112 47033428505895 50168990406288 50651384544810 51455374775680 53344242963648 54028143514464 57887296622640 58530488807336 59271381070720 62711238007860 65846799908253 66680303704560 66891987208384 67535179393080 72037524685952 73163111009170 75253485609432 76206061376640 77183062163520 81042215271696 83614984010480 87795733211004 88907071606080 90046905857440 92619674596224 94066857011790 100337980812576 101302769089620 106688485927296 108056287028928 109744666513755 115774593245280 117060977614672 125422476015720 131693599816506 133360607409120 133783974416768 135070358786160 146326222018340 150506971218864 154366124327040 162084430543392 167229968020960 175591466422008 177814143212160 180093811714880 188133714023580 200675961625152 202605538179240 216112574057856 219489333027510 231549186490560 234121955229344 250844952031440 263387199633012 266721214818240 270140717572320 292652444036680 301013942437728 324168861086784 329233999541265 334459936041920 351182932844016 360187623429760 376267428047160 401351923250304 405211076358480 438978666055020 463098372981120 468243910458688 501689904062880 526774399266024 533442429636480 540281435144640 585304888073360 602027884875456 648337722173568 658467999082530 668919872083840 702365865688032 752534856094320 810422152716960 877957332110040 936487820917376 1003379808125760 1053548798532048 1080562870289280 1170609776146720 1204055769750912 1316935998165060 1404731731376064 1505069712188640 1620844305433920 1755914664220080 2006759616251520 2107097597064096 2341219552293440 2633871996330120 2809463462752128 3010139424377280 3241688610867840 3511829328440160 4214195194128192 4682439104586880 5267743992660240 6020278848754560 7023658656880320 8428390388256384 10535487985320480 14047317313760640 21070975970640960 42141951941281920
- Sum of all divisors σ(n): 181370426254617600
- Sum of proper divisors (its aliquot sum) s(n): 139228474313335680
- 42141951941281920 is an abundant number, because the sum of its proper divisors (139228474313335680) is greater than itself. Its abundance is 97086522372053760
Bases of 42141951941281920
- Binary: 100101011011011111100001110010111001101000001000100000002
- Hexadecimal: 0x95B7E1CB9A0880
- Base-36: BIY2PGGVTS0
Squares and roots of 42141951941281920
- 42141951941281920 squared (421419519412819202) is 1775944113421314985663492918886400
- 42141951941281920 cubed (421419519412819203) is 74841751478203583375309759706662731962194853888000
-
The
square root of 42141951941281920 is 205285050.4573626277 -
The
cube root of 42141951941281920 is 347993.8342295125
Scales and comparisons
How big is 42141951941281920?- 42,141,951,941,281,920 seconds is equal to 1,339,983,718 years, 6 weeks, 11 hours, 12 minutes.
-
To count from 1 to 42,141,951,941,281,920 would take you about four billion, nineteen million, nine hundred fifty-one thousand, one hundred fifty-four 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 42141951941281920 cubic inches would be around 28999.5 feet tall.
Recreational maths with 42141951941281920
- 42141951941281920 backwards is 02918214915914124
- 42141951941281920 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42141951941281920's digits is 63
- More coming soon!
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"Number 42141951941281920 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 42141951941281920 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/42141951941281920/
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The information we have on file for 42141951941281920 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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