42314135808000
42,314,135,808,000 is an even composite number composed of six prime numbers multiplied together.
42314135808000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42314135808000:
211 × 3 × 53 × 72 × 732 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 73 × 73 × 211)See below for interesting mathematical facts about the number 42314135808000 from the Numbermatics database.
Names of 42314135808000
- Cardinal: 42314135808000 can be written as Forty-two trillion, three hundred fourteen billion, one hundred thirty-five million, eight hundred eight thousand.
Scientific notation
- Scientific notation: 4.2314135808 × 1013
Factors of 42314135808000
Divisors of 42314135808000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 73 75 80 84 96 98 100 105 112 120 125 128 140 146 147 150 160 168 175 192 196 200 210 211 219 224 240 245 250 256 280 292 294 300 320 336 350 365 375 384 392 400 420 422 438 448 480 490 500 511 512 525 560 584 588 600 633 640 672 700 730 735 750 768 784 800 840 844 875 876 896 960 980 1000 1022 1024 1050 1055 1095 1120 1168 1176 1200 1225 1266 1280 1344 1400 1460 1470 1477 1500 1533 1536 1568 1600 1680 1688 1750 1752 1792 1825 1920 1960 2000 2044 2048 2100 2110 2190 2240 2336 2352 2400 2450 2532 2555 2560 2625 2688 2800 2920 2940 2954 3000 3066 3072 3136 3165 3200 3360 3376 3500 3504 3577 3584 3650 3675 3840 3920 4000 4088 4200 4220 4380 4431 4480 4672 4704 4800 4900 5064 5110 5120 5250 5275 5329 5376 5475 5600 5840 5880 5908 6000 6125 6132 6144 6272 6330 6400 6720 6752 7000 7008 7154 7168 7300 7350 7385 7665 7680 7840 8000 8176 8400 8440 8760 8862 8960 9125 9344 9408 9600 9800 10128 10220 10240 10339 10500 10550 10658 10731 10752 10950 11200 11680 11760 11816 12000 12250 12264 12544 12660 12775 12800 13440 13504 14000 14016 14308 14336 14600 14700 14770 15330 15360 15403 15680 15825 15987 16000 16352 16800 16880 17520 17724 17885 17920 18250 18375 18688 18816 19200 19600 20256 20440 20678 21000 21100 21316 21462 21504 21900 22155 22400 23360 23520 23632 24000 24500 24528 25088 25320 25550 25600 26375 26645 26880 27008 27375 28000 28032 28616 29200 29400 29540 30660 30720 30806 31017 31360 31650 31974 32000 32704 33600 33760 35040 35448 35770 35840 36500 36750 36925 37303 37376 37632 38325 38400 39200 40512 40880 41356 42000 42200 42632 42924 43008 43800 44310 44800 46209 46720 47040 47264 48000 49000 49056 50176 50640 51100 51200 51695 52750 53290 53655 53760 54016 54750 56000 56064 57232 58400 58800 59080 61320 61612 62034 62720 63300 63875 63948 64000 65408 67200 67520 70080 70896 71540 71680 73000 73500 73850 74606 74752 75264 76650 76800 77015 78400 79125 79935 81024 81760 82712 84000 84400 85264 85848 87600 88620 89425 89600 92418 93440 94080 94528 96000 98000 98112 100352 101280 102200 103390 105500 106580 107310 107520 107821 108032 109500 110775 111909 112000 112128 114464 116800 117600 118160 122640 123224 124068 125440 126600 127750 127896 128000 130816 133225 134400 135040 140160 141792 143080 146000 147000 147700 149212 149504 150528 153300 153600 154030 155085 156800 158250 159870 162048 163520 165424 168000 168800 170528 171696 175200 177240 178850 179200 184625 184836 186515 186880 188160 189056 191625 192000 196000 196224 202560 204400 206780 211000 213160 214620 215040 215642 216064 219000 221550 223818 224000 224256 228928 231045 233600 235200 236320 245280 246448 248136 250880 253200 255500 255792 256000 258475 261121 261632 266450 268275 268800 270080 280320 283584 286160 292000 294000 295400 298424 301056 306600 308060 310170 313600 316500 319740 323463 324096 327040 330848 336000 337600 341056 343392 350400 354480 357700 358400 369250 369672 373030 373760 376320 378112 383250 384000 385075 392000 392448 399675 405120 408800 413560 422000 426320 429240 431284 432128 438000 443100 447125 447636 448000 448512 457856 462090 467200 470400 472640 490560 492896 496272 501760 506400 511000 511584 516950 522242 523264 532900 536550 537600 539105 540160 553875 559545 560640 567168 572320 584000 588000 590800 596848 613200 616120 620340 627200 633000 639480 646926 648192 654080 661696 666125 672000 675200 682112 686784 700800 708960 715400 738500 739344 746060 747520 752640 754747 756224 766500 768000 770150 775425 783363 784000 784896 799350 810240 817600 827120 844000 852640 858480 862568 876000 886200 894250 895272 896000 915712 924180 932575 934400 940800 945280 981120 985792 992544 1012800 1022000 1023168 1033900 1044484 1046528 1065800 1073100 1075200 1078210 1080320 1107750 1119090 1121280 1124419 1134336 1144640 1155225 1168000 1176000 1181600 1193696 1226400 1232240 1240680 1254400 1266000 1278960 1292375 1293852 1296384 1305605 1308160 1323392 1332250 1341375 1344000 1350400 1364224 1373568 1401600 1417920 1430800 1477000 1478688 1492120 1505280 1509494 1512448 1533000 1540300 1550850 1566726 1568000 1569792 1598700 1617315 1620480 1635200 1654240 1688000 1705280 1716960 1725136 1752000 1772400 1788500 1790544 1792000 1831424 1848360 1865150 1868800 1881600 1890560 1925375 1962240 1971584 1985088 1998375 2025600 2044000 2046336 2067800 2088968 2131600 2146200 2156420 2160640 2215500 2238180 2242560 2248838 2264241 2268672 2289280 2310450 2336000 2352000 2363200 2387392 2452800 2464480 2481360 2508800 2532000 2557920 2584750 2587704 2611210 2616320 2646784 2664500 2682750 2688000 2695525 2700800 2728448 2747136 2797725 2803200 2835840 2861600 2954000 2957376 2984240 3018988 3024896 3066000 3080600 3101700 3133452 3136000 3139584 3197400 3234630 3240960 3270400 3308480 3373257 3376000 3410560 3433920 3450272 3504000 3544800 3577000 3581088 3662848 3696720 3730300 3737600 3763200 3773735 3781120 3850750 3877125 3916815 3924480 3943168 3970176 3996750 4051200 4088000 4092672 4135600 4177936 4263200 4292400 4312840 4431000 4476360 4497676 4528482 4537344 4578560 4620900 4662875 4672000 4704000 4726400 4774784 4905600 4928960 4962720 5064000 5115840 5169500 5175408 5222420 5232640 5293568 5329000 5365500 5376000 5391050 5401600 5456896 5494272 5595450 5606400 5622095 5671680 5723200 5776125 5908000 5914752 5968480 6037976 6132000 6161200 6203400 6266904 6272000 6394800 6469260 6481920 6528025 6540800 6616960 6746514 6752000 6821120 6867840 6900544 7008000 7089600 7154000 7162176 7325696 7393440 7460600 7526400 7547470 7562240 7701500 7754250 7833630 7848960 7870933 7886336 7940352 7993500 8086575 8102400 8176000 8185344 8271200 8355872 8526400 8584800 8625680 8862000 8952720 8995352 9056964 9074688 9157120 9241800 9325750 9344000 9408000 9452800 9549568 9811200 9857920 9925440 10128000 10231680 10339000 10350816 10444840 10587136 10658000 10731000 10782100 10803200 10913792 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28616000 28648704 29573760 29842400 30189880 30806000 31017000 31334520 31483732 31545344 31761408 31974000 32346300 32409600 32640125 32704000 32741376 33084800 33423488 33732570 34105600 34339200 34502720 35448000 35810880 35981408 36227856 36628480 36967200 37303000 37632000 37737350 37811200 38198272 39168150 39244800 39354665 39431680 39701760 40432875 40512000 40926720 41356000 41403264 41779360 42632000 42924000 43128400 44763600 44976760 45284820 45373440 45785600 46209000 47225598 47264000 47318016 47747840 48303808 49056000 49289600 49627200 50135232 51158400 51754080 52224200 52935680 53910500 53972112 54016000 54568960 54942720 55096531 55204352 55954500 56064000 56220950 56606025 56716800 57232000 57297408 59147520 59684800 60379760 61612000 62034000 62669040 62967464 63522816 63948000 64692600 65280250 65408000 66169600 66846976 67465140 68211200 68678400 69005440 70896000 71621760 71962816 72455712 73934400 74606000 75474700 75622400 76396544 78336300 78489600 78709330 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208896800 215642000 215888448 220386124 220817408 223818000 224883800 226424100 226867200 228928000 229189632 236127990 236590080 238739200 241519040 246448000 248136000 250676160 251869856 255792000 258770400 261121000 264678400 267387904 269860560 272844800 274713600 275482655 276021760 281104750 283030125 283584000 286487040 287851264 289822848 295737600 298424000 301898800 313345200 314837320 317614080 323463000 330579186 330848000 331226112 334234880 337325700 341056000 343392000 345027200 358108800 359814080 362278560 369672000 377373500 377804784 378112000 381982720 386430464 391681500 392448000 393546650 394316800 397017600 401081856 409267200 414032640 417793600 421657125 431284000 431776896 440772248 447636000 449767600 452848200 457856000 472255980 473180160 477478400 483038080 492896000 496272000 501352320 503739712 511584000 517540800 522242000 529356800 534775808 539721120 549427200 550965310 552043520 562209500 566060250 567168000 572974080 575702528 579645696 590319975 591475200 596848000 603797600 626690400 629674640 646926000 661158372 661696000 662452224 668469760 674651400 682112000 686784000 690054400 716217600 719628160 724557120 739344000 754747000 755609568 772860928 783363000 787093300 788633600 794035200 802163712 818534400 826447965 828065280 835587200 843314250 862568000 863553792 881544496 895272000 899535200 905696400 915712000 944511960 954956800 966076160 983866625 985792000 992544000 1002704640 1007479424 1023168000 1035081600 1044484000 1079442240 1101930620 1104087040 1124419000 1132120500 1134336000 1145948160 1151405056 1159291392 1180639950 1182950400 1193696000 1207595200 1253380800 1259349280 1293852000 1322316744 1323392000 1336939520 1349302800 1364224000 1373568000 1377413275 1380108800 1432435200 1439256320 1449114240 1478688000 1509494000 1511219136 1545721856 1566726000 1574186600 1588070400 1604327424 1652895930 1656130560 1671174400 1686628500 1725136000 1727107584 1763088992 1790544000 1799070400 1811392800 1889023920 1909913600 1932152320 1967733250 1971584000 1985088000 2005409280 2014958848 2046336000 2070163200 2088968000 2158884480 2203861240 2248838000 2264241000 2302810112 2318582784 2361279900 2365900800 2387392000 2415190400 2506761600 2518698560 2587704000 2644633488 2646784000 2673879040 2698605600 2747136000 2754826550 2760217600 2864870400 2878512640 2898228480 2951599875 2957376000 3018988000 3022438272 3133452000 3148373200 3305791860 3312261120 3342348800 3373257000 3450272000 3454215168 3526177984 3581088000 3598140800 3622785600 3778047840 3864304640 3935466500 3943168000 3970176000 4010818560 4029917696 4092672000 4132239825 4140326400 4177936000 4317768960 4407722480 4497676000 4528482000 4637165568 4722559800 4774784000 4830380800 5013523200 5037397120 5175408000 5289266976 5397211200 5509653100 5520435200 5729740800 5757025280 5796456960 5903199750 5914752000 6037976000 6044876544 6266904000 6296746400 6611583720 6684697600 6746514000 6887066375 6900544000 6908430336 7052355968 7162176000 7196281600 7245571200 7556095680 7728609280 7870933000 7940352000 8021637120 8059835392 8264479650 8280652800 8355872000 8635537920 8815444960 8995352000 9056964000 9445119600 9549568000 9660761600 10027046400 10074794240 10350816000 10578533952 10794422400 11019306200 11514050560 11592913920 11806399500 11829504000 12075952000 12089753088 12533808000 12593492800 13223167440 13369395200 13493028000 13774132750 13801088000 14104711936 14324352000 14392563200 14491142400 15112191360 15741866000 16119670784 16528959300 16561305600 16711744000 17271075840 17630889920 17990704000 18113928000 18890239200 19321523200 20054092800 20149588480 20661199125 20701632000 21157067904 21588844800 22038612400 23185827840 23612799000 24151904000 24179506176 25067616000 25186985600 26446334880 26986056000 27548265500 27602176000 28209423872 28648704000 28785126400 28982284800 30224382720 31483732000 33057918600 33423488000 34542151680 35261779840 35981408000 36227856000 37780478400 38643046400 40108185600 40299176960 41322398250 41403264000 42314135808 43177689600 44077224800 47225598000 48303808000 48359012352 50135232000 50373971200 52892669760 53972112000 55096531000 56418847744 57570252800 57964569600 60448765440 62967464000 66115837200 66846976000 70523559680 71962816000 72455712000 75560956800 80598353920 82644796500 82806528000 84628271616 86355379200 88154449600 94451196000 96607616000 100270464000 100747942400 105785339520 107944224000 110193062000 112837695488 115929139200 120897530880 125934928000 132231674400 141047119360 143925632000 144911424000 151121913600 165289593000 169256543232 172710758400 176308899200 188902392000 193215232000 200540928000 201495884800 211570679040 215888448000 220386124000 241795061760 251869856000 264463348800 282094238720 287851264000 289822848000 302243827200 330579186000 338513086464 352617798400 377804784000 402991769600 423141358080 431776896000 440772248000 503739712000 528926697600 564188477440 579645696000 604487654400 661158372000 705235596800 755609568000 846282716160 863553792000 881544496000 1007479424000 1057853395200 1208975308800 1322316744000 1410471193600 1511219136000 1692565432320 1763088992000 2014958848000 2115706790400 2644633488000 2820942387200 3022438272000 3526177984000 4231413580800 5289266976000 6044876544000 7052355968000 8462827161600 10578533952000 14104711936000 21157067904000 42314135808000
- Sum of all divisors σ(n): 166833853018560
- Sum of proper divisors (its aliquot sum) s(n): 124519717210560
- 42314135808000 is an abundant number, because the sum of its proper divisors (124519717210560) is greater than itself. Its abundance is 82205581402560
Bases of 42314135808000
- Binary: 10011001111100000001110000100010101000000000002
- Hexadecimal: 0x267C0708A800
- Base-36: EZYUFXW5C
Squares and roots of 42314135808000
- 42314135808000 squared (423141358080002) is 1790486089177867812864000000
- 42314135808000 cubed (423141358080003) is 75762871539807097701399225434112000000000
-
The
square root of 42314135808000 is 6504931.6528307967 -
The
cube root of 42314135808000 is 34846.7135379839
Scales and comparisons
How big is 42314135808000?- 42,314,135,808,000 seconds is equal to 1,345,458 years, 32 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 42,314,135,808,000 would take you about three million, three hundred sixty-three thousand, six hundred forty-six 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 42314135808000 cubic inches would be around 2903.9 feet tall.
Recreational maths with 42314135808000
- 42314135808000 backwards is 00080853141324
- The number of decimal digits it has is: 14
- The sum of 42314135808000's digits is 39
- More coming soon!
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"Number 42314135808000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 42314135808000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/42314135808000/
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The information we have on file for 42314135808000 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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