132978973824000
132,978,973,824,000 is an even composite number composed of five prime numbers multiplied together.
132978973824000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 132978973824000:
210 × 32 × 53 × 293 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 29 × 29 × 29 × 4733)See below for interesting mathematical facts about the number 132978973824000 from the Numbermatics database.
Names of 132978973824000
- Cardinal: 132978973824000 can be written as One hundred thirty-two trillion, nine hundred seventy-eight billion, nine hundred seventy-three million, eight hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.32978973824 × 1014
Factors of 132978973824000
Divisors of 132978973824000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 64 72 75 80 87 90 96 100 116 120 125 128 144 145 150 160 174 180 192 200 225 232 240 250 256 261 288 290 300 320 348 360 375 384 400 435 450 464 480 500 512 522 576 580 600 640 696 720 725 750 768 800 841 870 900 928 960 1000 1024 1044 1125 1152 1160 1200 1280 1305 1392 1440 1450 1500 1536 1600 1682 1740 1800 1856 1920 2000 2088 2175 2250 2304 2320 2400 2523 2560 2610 2784 2880 2900 3000 3072 3200 3364 3480 3600 3625 3712 3840 4000 4176 4205 4350 4500 4608 4640 4733 4800 5046 5120 5220 5568 5760 5800 6000 6400 6525 6728 6960 7200 7250 7424 7569 7680 8000 8352 8410 8700 9000 9216 9280 9466 9600 10092 10440 10875 11136 11520 11600 12000 12615 12800 13050 13456 13920 14199 14400 14500 14848 15138 15360 16000 16704 16820 17400 18000 18560 18932 19200 20184 20880 21025 21750 22272 23040 23200 23665 24000 24389 25230 25600 26100 26912 27840 28398 28800 29000 29696 30276 32000 32625 33408 33640 34800 36000 37120 37845 37864 38400 40368 41760 42050 42597 43500 44544 46080 46400 47330 48000 48778 50460 52200 53824 55680 56796 57600 58000 60552 63075 64000 65250 66816 67280 69600 70995 72000 73167 74240 75690 75728 76800 80736 83520 84100 85194 87000 89088 92800 94660 96000 97556 100920 104400 105125 107648 111360 113592 115200 116000 118325 121104 121945 126150 128000 130500 133632 134560 137257 139200 141990 144000 146334 148480 151380 151456 161472 167040 168200 170388 174000 185600 189225 189320 192000 195112 201840 208800 210250 212985 215296 219501 222720 227184 230400 232000 236650 242208 243890 252300 261000 267264 269120 274514 278400 283980 288000 292668 302760 302912 315375 322944 334080 336400 340776 348000 354975 365835 371200 378450 378640 384000 390224 403680 411771 417600 420500 425970 430592 439002 445440 454368 464000 473300 484416 487780 504600 522000 538240 549028 556800 567960 576000 585336 591625 605520 605824 609725 630750 645888 668160 672800 681552 686285 696000 709950 731670 742400 756900 757280 780448 807360 823542 835200 841000 851940 861184 878004 908736 928000 946125 946600 968832 975560 1009200 1044000 1064925 1076480 1097505 1098056 1113600 1135920 1152000 1170672 1183250 1211040 1211648 1219450 1235313 1261500 1291776 1336320 1345600 1363104 1372570 1392000 1419900 1463340 1513800 1514560 1560896 1614720 1647084 1670400 1682000 1703880 1756008 1774875 1817472 1829175 1856000 1892250 1893200 1937664 1951120 2018400 2058855 2088000 2129850 2152960 2195010 2196112 2227200 2271840 2341344 2366500 2422080 2423296 2438900 2470626 2523000 2583552 2691200 2726208 2745140 2784000 2839800 2926680 3027600 3029120 3048625 3121792 3229440 3294168 3340800 3364000 3407760 3431425 3512016 3549750 3634944 3658350 3712000 3784500 3786400 3875328 3902240 3980453 4036800 4117710 4176000 4259700 4305920 4390020 4392224 4543680 4682688 4733000 4844160 4846592 4877800 4941252 5046000 5324625 5382400 5452416 5487525 5490280 5568000 5679600 5853360 6055200 6058240 6097250 6176565 6243584 6458880 6588336 6681600 6728000 6815520 6862850 7024032 7099500 7269888 7316700 7569000 7572800 7750656 7804480 7960906 8073600 8235420 8352000 8519400 8780040 8784448 9087360 9145875 9365376 9466000 9688320 9755600 9882504 10092000 10294275 10649250 10764800 10904832 10975050 10980560 11136000 11359200 11706720 11941359 12110400 12116480 12194500 12353130 12487168 12917760 13176672 13456000 13631040 13725700 14048064 14199000 14539776 14633400 15138000 15145600 15608960 15921812 16147200 16470840 16704000 17038800 17157125 17560080 17568896 18174720 18291750 18730752 18932000 19376640 19511200 19765008 19902265 20184000 20588550 21298500 21529600 21809664 21950100 21961120 22718400 23413440 23882718 24220800 24232960 24389000 24706260 24974336 26353344 26912000 27262080 27437625 27451400 28096128 28398000 29266800 30276000 30291200 30882825 31217920 31843624 32294400 32941680 33408000 34077600 34314250 35120160 35137792 35824077 36349440 36583500 37461504 37864000 38753280 39022400 39530016 39804530 40368000 41177100 42597000 43619328 43900200 43922240 45436800 46826880 47765436 48441600 48778000 49412520 51471375 52706688 53824000 54524160 54875250 54902800 56192256 56796000 58533600 59706795 60552000 60582400 61765650 62435840 63687248 64588800 65883360 68155200 68628500 70240320 70275584 71648154 72698880 73167000 74923008 75728000 78044800 79060032 79609060 80736000 82354200 85194000 87800400 87844480 90873600 93653760 95530872 96883200 97556000 98825040 99511325 102942750 105413376 107648000 109048320 109750500 109805600 112384512 113592000 115433137 117067200 119413590 121104000 121164800 123531300 124871680 127374496 131766720 136310400 137257000 140480640 140551168 143296308 146334000 151456000 154414125 156089600 158120064 159218120 161472000 164708400 170388000 175600800 175688960 179120385 181747200 187307520 191061744 193766400 195112000 197650080 199022650 205885500 210826752 218096640 219501000 219611200 224769024 227184000 230866274 234134400 238827180 242208000 247062600 254748992 263533440 272620800 274514000 280961280 286592616 292668000 298533975 302912000 308828250 312179200 316240128 318436240 322944000 329416800 340776000 346299411 351201600 351377920 358240770 363494400 374615040 382123488 390224000 395300160 398045300 411771000 421653504 439002000 439222400 454368000 461732548 468268800 477654360 484416000 494125200 497556625 509497984 527066880 545241600 549028000 561922560 573185232 577165685 585336000 597067950 605824000 617656500 624358400 632480256 636872480 658833600 681552000 692598822 702403200 702755840 716481540 764246976 780448000 790600320 796090600 823542000 878004000 878444800 895601925 908736000 923465096 936537600 955308720 968832000 988250400 995113250 1018995968 1038898233 1054133760 1090483200 1098056000 1123845120 1146370464 1154331370 1170672000 1194135900 1235313000 1264960512 1273744960 1317667200 1363104000 1385197644 1404806400 1432963080 1492669875 1528493952 1560896000 1581200640 1592181200 1647084000 1731497055 1756008000 1756889600 1791203850 1817472000 1846930192 1873075200 1910617440 1976500800 1990226500 2037991936 2077796466 2108267520 2196112000 2292740928 2308662740 2341344000 2388271800 2470626000 2547489920 2635334400 2726208000 2770395288 2809612800 2865926160 2885828425 2985339750 3056987904 3121792000 3162401280 3184362400 3294168000 3462994110 3512016000 3513779200 3582407700 3693860384 3821234880 3953001600 3980453000 4075983872 4155592932 4392224000 4478009625 4585481856 4617325480 4682688000 4776543600 4941252000 5094979840 5194491165 5270668800 5452416000 5540790576 5619225600 5731852320 5771656850 5970679500 6113975808 6324802560 6368724800 6588336000 6925988220 7024032000 7164815400 7387720768 7642469760 7906003200 7960906000 8311185864 8657485275 8784448000 8956019250 9170963712 9234650960 9365376000 9553087200 9882504000 10189959680 10388982330 10541337600 11081581152 11463704640 11543313700 11941359000 12227951616 12737449600 13176672000 13851976440 14048064000 14329630800 14429142125 14775441536 15284939520 15812006400 15921812000 16622371728 17314970550 17568896000 17912038500 18341927424 18469301920 19106174400 19765008000 20379919360 20777964660 22163162304 22927409280 23086627400 23882718000 25474899200 25972455825 26353344000 27703952880 28096128000 28659261600 28858284250 29550883072 30569879040 31624012800 31843624000 33244743456 34629941100 35824077000 36683854848 36938603840 38212348800 39530016000 41555929320 43287426375 44326324608 45854818560 46173254800 47765436000 50949798400 51944911650 52706688000 55407905760 57318523200 57716568500 59101766144 61139758080 63687248000 66489486912 69259882200 71648154000 73877207680 76424697600 79060032000 83111858640 86574852750 88652649216 91709637120 92346509600 95530872000 101899596800 103889823300 110815811520 114637046400 115433137000 118203532288 127374496000 129862279125 132978973824 138519764400 143296308000 147754415360 152849395200 158120064000 166223717280 173149705500 177305298432 183419274240 184693019200 191061744000 207779646600 221631623040 229274092800 230866274000 254748992000 259724558250 265957947648 277039528800 286592616000 295508830720 305698790400 332447434560 346299411000 354610596864 369386038400 382123488000 415559293200 443263246080 458548185600 461732548000 509497984000 519449116500 531915895296 554079057600 573185232000 591017661440 664894869120 692598822000 738772076800 764246976000 831118586400 886526492160 917096371200 923465096000 1038898233000 1063831790592 1108158115200 1146370464000 1329789738240 1385197644000 1477544153600 1528493952000 1662237172800 1773052984320 1846930192000 2077796466000 2216316230400 2292740928000 2659579476480 2770395288000 2955088307200 3324474345600 3693860384000 4155592932000 4432632460800 4585481856000 5319158952960 5540790576000 6648948691200 7387720768000 8311185864000 8865264921600 11081581152000 13297897382400 14775441536000 16622371728000 22163162304000 26595794764800 33244743456000 44326324608000 66489486912000 132978973824000
- Sum of all divisors σ(n): 496417854385440
- Sum of proper divisors (its aliquot sum) s(n): 363438880561440
- 132978973824000 is an abundant number, because the sum of its proper divisors (363438880561440) is greater than itself. Its abundance is 230459906737440
Bases of 132978973824000
- Binary: 111100011110001100101000111111101010100000000002
- Hexadecimal: 0x78F1947F5400
- Base-36: 1B4XP3LKW0
Squares and roots of 132978973824000
- 132978973824000 squared (1329789738240002) is 17683407479284077182976000000
- 132978973824000 cubed (1329789738240003) is 2351521380306843121974961162420224000000000
-
The
square root of 132978973824000 is 11531650.9582973415 -
The
cube root of 132978973824000 is 51041.9971670301
Scales and comparisons
How big is 132978973824000?- 132,978,973,824,000 seconds is equal to 4,228,320 years, 1 week, 6 days, 8 hours.
-
To count from 1 to 132,978,973,824,000 would take you about ten million, five hundred seventy thousand, eight hundred 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 132978973824000 cubic inches would be around 4253.5 feet tall.
Recreational maths with 132978973824000
- 132978973824000 backwards is 000428379879231
- The number of decimal digits it has is: 15
- The sum of 132978973824000's digits is 63
- More coming soon!
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The information we have on file for 132978973824000 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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