42132004524000
42,132,004,524,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42132004524000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
42132004524000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42132004524000:
25 × 34 × 53 × 349 × 409 × 911
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 349 × 409 × 911)See below for interesting mathematical facts about the number 42132004524000 from the Numbermatics database.
Names of 42132004524000
- Cardinal: 42132004524000 can be written as Forty-two trillion, one hundred thirty-two billion, four million, five hundred twenty-four thousand.
Scientific notation
- Scientific notation: 4.2132004524 × 1013
Factors of 42132004524000
Divisors of 42132004524000
- Number of divisors d(n): 960
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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 72 75 80 81 90 96 100 108 120 125 135 144 150 160 162 180 200 216 225 240 250 270 288 300 324 349 360 375 400 405 409 432 450 480 500 540 600 648 675 698 720 750 800 810 818 864 900 911 1000 1047 1080 1125 1200 1227 1296 1350 1396 1440 1500 1620 1636 1745 1800 1822 2000 2025 2045 2094 2160 2250 2400 2454 2592 2700 2733 2792 3000 3141 3240 3272 3375 3490 3600 3644 3681 4000 4050 4090 4188 4320 4500 4555 4908 5235 5400 5466 5584 6000 6135 6282 6480 6544 6750 6980 7200 7288 7362 8100 8180 8199 8376 8725 9000 9110 9423 9816 10125 10225 10470 10800 10932 11043 11168 12000 12270 12564 12960 13088 13500 13665 13960 14576 14724 15705 16200 16360 16398 16752 17450 18000 18220 18405 18846 19632 20250 20450 20940 21600 21864 22086 22775 24540 24597 25128 26175 27000 27330 27920 28269 29152 29448 30675 31410 32400 32720 32796 33129 33504 34900 36000 36440 36810 37692 39264 40500 40900 40995 41880 43625 43728 44172 45550 47115 49080 49194 50256 51125 52350 54000 54660 55215 55840 56538 58896 61350 62820 64800 65440 65592 66258 68325 69800 72880 73620 73791 75384 78525 81000 81800 81990 83760 87250 87456 88344 91100 92025 94230 98160 98388 100512 102250 104700 108000 109320 110430 113076 113875 117792 122700 122985 125640 130875 131184 132516 136650 139600 141345 142741 145760 147240 147582 150768 153375 157050 162000 163600 163980 165645 167520 174500 176688 182200 184050 188460 196320 196776 204500 204975 209400 218640 220860 226152 227750 235575 245400 245970 251280 261750 262368 265032 273300 276075 279200 282690 285482 294480 295164 301536 306750 314100 317939 324000 327200 327960 331290 341625 349000 353376 364400 368100 368955 372599 376920 392625 393552 409000 409950 418800 428223 437280 441720 452304 455500 460125 471150 490800 491940 502560 523500 530064 546600 552150 565380 570964 588960 590328 613500 614925 628200 635878 655920 662580 683250 698000 706725 713705 728800 736200 737910 745198 753840 785250 787104 818000 819900 828225 837600 856446 883440 904608 911000 920250 942300 953817 981600 983880 1024875 1047000 1060128 1093200 1104300 1117797 1130760 1141928 1177875 1180656 1227000 1229850 1256400 1271756 1284669 1311840 1325160 1366500 1380375 1396000 1413450 1427410 1472400 1475820 1490396 1507680 1570500 1589695 1636000 1639800 1656450 1712892 1766880 1822000 1840500 1844775 1862995 1884600 1907634 1967760 2049750 2094000 2141115 2186400 2208600 2235594 2261520 2283856 2355750 2361312 2454000 2459700 2512800 2543512 2569338 2650320 2733000 2760750 2826900 2854820 2861451 2944800 2951640 2980792 3074625 3141000 3179390 3279600 3312900 3353391 3425784 3533625 3568525 3644000 3681000 3689550 3725990 3769200 3815268 3854007 3935520 4099500 4141125 4188000 4282230 4417200 4471188 4523040 4567712 4711500 4769085 4908000 4919400 5087024 5138676 5300640 5466000 5521500 5588985 5653800 5709640 5722902 5903280 5961584 6149250 6282000 6358780 6423345 6559200 6625800 6706782 6851568 7067250 7137050 7362000 7379100 7451980 7538400 7630536 7708014 7948475 8199000 8282250 8564460 8584353 8834400 8942376 9223875 9314975 9423000 9538170 9838800 10060173 10174048 10277352 10705575 10932000 11043000 11177970 11307600 11419280 11445804 11562021 11806560 11923168 12298500 12564000 12717560 12846690 13251600 13413564 13703136 14134500 14274100 14307255 14724000 14758200 14903960 15261072 15416028 15896950 16398000 16564500 16766955 17128920 17168706 17842625 17884752 18447750 18629950 18846000 19076340 19270035 19677600 20120346 20554704 21411150 22086000 22355940 22615200 22838560 22891608 23124042 23845425 24597000 25435120 25693380 25753059 26503200 26827128 27944925 28269000 28548200 28614510 29516400 29807920 30180519 30522144 30832056 31793900 32116725 32796000 33129000 33533910 34257840 34337412 35685250 35769504 36895500 37259900 37692000 38152680 38540070 39742375 40240692 41109408 42822300 42921765 44172000 44711880 45783216 46248084 46574875 47690850 49194000 50300865 50870240 51386760 51506118 53527875 53654256 55889850 56538000 57096400 57229020 57810105 59032800 59615840 60361038 61664112 63587800 64233450 66258000 67067820 68515680 68674824 71370500 71536275 73791000 74519800 76305360 77080140 79484750 80481384 83834775 85644600 85843530 89423760 91566432 92496168 93149750 95381700 96350175 98388000 100601730 102773520 103012236 107055750 107308512 111779700 113076000 114192800 114458040 115620210 119227125 120722076 123328224 127175600 128466900 128765295 130037051 132516000 134135640 137349648 139724625 142741000 143072550 147582000 149039600 150902595 152610720 154160280 158969500 160583625 160962768 167669550 171289200 171687060 178847520 184992336 186299500 190763400 192700350 201203460 205547040 206024472 214111500 214608825 223559400 228916080 231240420 238454250 241444152 251504325 254351200 256933800 257530590 260074102 268271280 274699296 279449250 285482000 286145100 289050525 295164000 298079200 301805190 308320560 317939000 321167250 321925536 335339100 342578400 343374120 357681375 369984672 372599000 381526800 385400700 390111153 402406920 412048944 419173875 428223000 429217650 447118800 457832160 462480840 476908500 481750875 482888304 503008650 513867600 515061180 520148204 536542560 558898500 570964000 572290200 578101050 603610380 616641120 635878000 642334500 643826475 650185255 670678200 686748240 715362750 745198000 754512975 763053600 770801400 780222306 804813840 824097888 838347750 856446000 858435300 894237600 924961680 953817000 963501750 965776608 1006017300 1027735200 1030122360 1040296408 1073044125 1117797000 1144580400 1156202100 1170333459 1207220760 1257521625 1271756000 1284669000 1287652950 1300370510 1341356400 1373496480 1430725500 1445252625 1490396000 1509025950 1541602800 1560444612 1609627680 1676695500 1712892000 1716870600 1849923360 1907634000 1927003500 1950555765 2012034600 2060244720 2080592816 2146088250 2235594000 2289160800 2312404200 2340666918 2414441520 2515043250 2569338000 2575305900 2600741020 2682712800 2861451000 2890505250 3018051900 3083205600 3120889224 3219132375 3250926275 3353391000 3433741200 3511000377 3772564875 3815268000 3854007000 3901111530 4024069200 4120489440 4161185632 4292176500 4471188000 4624808400 4681333836 4828883040 5030086500 5138676000 5150611800 5201482040 5722902000 5781010500 5851667295 6036103800 6241778448 6438264750 6501852550 6706782000 6867482400 7022000754 7545129750 7708014000 7802223060 8048138400 8584353000 9249616800 9362667672 9752778825 10060173000 10301223600 10402964080 10533001131 11445804000 11562021000 11703334590 12072207600 12483556896 12876529500 13003705100 13413564000 14044001508 15090259500 15416028000 15604446120 16254631375 17168706000 17555001885 18725335344 19505557650 20120346000 20602447200 20805928160 21066002262 23124042000 23406669180 24144415200 25753059000 26007410200 28088003016 29258336475 30180519000 31208892240 32509262750 34337412000 35110003770 37450670688 39011115300 40240692000 42132004524 46248084000 46813338360 48763894125 51506118000 52014820400 52665005655 56176006032 58516672950 60361038000 62417784480 65018525500 70220007540 78022230600 84264009048 87775009425 93626676720 97527788250 103012236000 104029640800 105330011310 112352012064 117033345900 120722076000 130037051000 140440015080 146291682375 156044461200 168528018096 175550018850 187253353440 195055576500 210660022620 234066691800 260074102000 263325028275 280880030160 292583364750 312088922400 337056036192 351100037700 390111153000 421320045240 438875047125 468133383600 520148204000 526650056550 561760060320 585166729500 702200075400 780222306000 842640090480 877750094250 936266767200 1053300113100 1170333459000 1316625141375 1404400150800 1560444612000 1685280180960 1755500188500 2106600226200 2340666918000 2633250282750 2808800301600 3511000377000 4213200452400 4681333836000 5266500565500 7022000754000 8426400904800 10533001131000 14044001508000 21066002262000 42132004524000
- Sum of all divisors σ(n): 155631411936000
- Sum of proper divisors (its aliquot sum) s(n): 113499407412000
- 42132004524000 is an abundant number, because the sum of its proper divisors (113499407412000) is greater than itself. Its abundance is 71367402888000
Bases of 42132004524000
- Binary: 10011001010001100111110010100111001111111000002
- Hexadecimal: 0x26519F29CFE0
- Base-36: EXN6BOE00
Squares and roots of 42132004524000
- 42132004524000 squared (421320045240002) is 1775105805210356466576000000
- 42132004524000 cubed (421320045240003) is 74788765815701401421432686789824000000000
-
The
square root of 42132004524000 is 6490917.0788109751 -
The
cube root of 42132004524000 is 34796.6451284293
Scales and comparisons
How big is 42132004524000?- 42,132,004,524,000 seconds is equal to 1,339,667 years, 21 weeks, 6 days, 6 hours.
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To count from 1 to 42,132,004,524,000 would take you about three million, three hundred forty-nine thousand, one hundred sixty-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 42132004524000 cubic inches would be around 2899.7 feet tall.
Recreational maths with 42132004524000
- 42132004524000 backwards is 00042540023124
- 42132004524000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42132004524000's digits is 27
- More coming soon!
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The information we have on file for 42132004524000 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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