132826328778607200
132,826,328,778,607,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 132826328778607200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 756 divisors.
132826328778607200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 132826328778607200:
25 × 32 × 52 × 11 × 1096
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 109 × 109 × 109 × 109 × 109 × 109)See below for interesting mathematical facts about the number 132826328778607200 from the Numbermatics database.
Names of 132826328778607200
- Cardinal: 132826328778607200 can be written as One hundred thirty-two quadrillion, eight hundred twenty-six trillion, three hundred twenty-eight billion, seven hundred seventy-eight million, six hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.328263287786072 × 1017
Factors of 132826328778607200
Divisors of 132826328778607200
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 66 72 75 80 88 90 96 99 100 109 110 120 132 144 150 160 165 176 180 198 200 218 220 225 240 264 275 288 300 327 330 352 360 396 400 436 440 450 480 495 528 545 550 600 654 660 720 792 800 825 872 880 900 981 990 1056 1090 1100 1199 1200 1308 1320 1440 1584 1635 1650 1744 1760 1800 1962 1980 2180 2200 2398 2400 2475 2616 2640 2725 3168 3270 3300 3488 3597 3600 3924 3960 4360 4400 4796 4905 4950 5232 5280 5450 5995 6540 6600 7194 7200 7848 7920 8175 8720 8800 9592 9810 9900 10464 10791 10900 11881 11990 13080 13200 14388 15696 15840 16350 17440 17985 19184 19620 19800 21582 21800 23762 23980 24525 26160 26400 28776 29975 31392 32700 35643 35970 38368 39240 39600 43164 43600 47524 47960 49050 52320 53955 57552 59405 59950 65400 71286 71940 78480 79200 86328 87200 89925 95048 95920 98100 106929 107910 115104 118810 119900 130691 130800 142572 143880 156960 172656 178215 179850 190096 191840 196200 213858 215820 237620 239800 261382 261600 269775 285144 287760 297025 345312 356430 359700 380192 392073 392400 427716 431640 475240 479600 522764 534645 539550 570288 575520 594050 653455 712860 719400 784146 784800 855432 863280 891075 950480 959200 1045528 1069290 1079100 1140576 1176219 1188100 1295029 1306910 1425720 1438800 1568292 1710864 1726560 1782150 1900960 1960365 2091056 2138580 2158200 2352438 2376200 2590058 2613820 2673225 2851440 2877600 3136584 3267275 3421728 3564300 3885087 3920730 4182112 4277160 4316400 4704876 4752400 5180116 5227640 5346450 5702880 5881095 6273168 6475145 6534550 7128600 7770174 7841460 8554320 8632800 9409752 9504800 9801825 10360232 10455280 10692900 11655261 11762190 12546336 12950290 13069100 14245319 14257200 15540348 15682920 17108640 18819504 19425435 19603650 20720464 20910560 21385800 23310522 23524380 25900580 26138200 28490638 28514400 29405475 31080696 31365840 32375725 37639008 38850870 39207300 41440928 42735957 42771600 46621044 47048760 51801160 52276400 56981276 58276305 58810950 62161392 62731680 64751450 71226595 77701740 78414600 85471914 85543200 93242088 94097520 97127175 103602320 104552800 113962552 116552610 117621900 124322784 128207871 129502900 141158161 142453190 155403480 156829200 170943828 186484176 188195040 194254350 207204640 213679785 227925104 233105220 235243800 256415742 259005800 282316322 284906380 291381525 310806960 313658400 341887656 356132975 372968352 388508700 423474483 427359570 455850208 466210440 470487600 512831484 518011600 564632644 569812760 582763050 621613920 641039355 683775312 705790805 712265950 777017400 846948966 854719140 932420880 940975200 1025662968 1036023200 1068398925 1129265288 1139625520 1165526100 1270423449 1282078710 1367550624 1411581610 1424531900 1552739771 1554034800 1693897932 1709438280 1864841760 2051325936 2117372415 2136797850 2258530576 2279251040 2331052200 2540846898 2564157420 2823163220 2849063800 3105479542 3108069600 3205196775 3387795864 3418876560 3528954025 4102651872 4234744830 4273595700 4517061152 4658219313 4662104400 5081693796 5128314840 5646326440 5698127600 6210959084 6352117245 6410393550 6775591728 6837753120 7057908050 7763698855 8469489660 8547191400 9316438626 9324208800 10163387592 10256629680 10586862075 11292652880 11396255200 12421918168 12704234490 12820787100 13551183456 13974657939 14115816100 15386239549 15527397710 16938979320 17094382800 18632877252 20326775184 20513259360 21173724150 22585305760 23291096565 24843836336 25408468980 25641574200 27949315878 28231632200 30772479098 31054795420 31760586225 33877958640 34188765600 37265754504 38818494275 40653550368 42347448300 46158718647 46582193130 49687672672 50816937960 51283148400 55898631756 56463264400 61544958196 62109590840 63521172450 67755917280 69873289695 74531509008 76931197745 77636988550 84694896600 92317437294 93164386260 101633875920 102566296800 111797263512 112926528800 116455482825 123089916392 124219181680 127042344900 138476155941 139746579390 149063018016 153862395490 155273977100 169248635039 169389793200 184634874588 186328772520 203267751840 223594527024 230793593235 232910965650 246179832784 248438363360 254084689800 276952311882 279493158780 307724790980 310547954200 338497270078 338779586400 349366448475 369269749176 372657545040 384655988725 447189054048 461587186470 465821931300 492359665568 507745905117 508169379600 553904623764 558986317560 615449581960 621095908400 676994540156 692380779705 698732896950 738539498352 745315090080 769311977450 846243175195 923174372940 931643862600 1015491810234 1016338759200 1107809247528 1117972635120 1153967966175 1230899163920 1242191816800 1353989080312 1384761559410 1397465793900 1477078996704 1523237715351 1538623954900 1677100110841 1692486350390 1846348745880 1863287725200 2030983620468 2215618495056 2235945270240 2307935932350 2461798327840 2538729525585 2707978160624 2769523118820 2794931587800 3046475430702 3077247909800 3354200221682 3384972700780 3461903898525 3692697491760 3726575450400 4061967240936 4231215875975 4431236990112 4615871864700 5031300332523 5077459051170 5415956321248 5539046237640 5589863175600 6092950861404 6154495819600 6708400443364 6769945401560 6923807797050 7385394983520 7616188576755 8123934481872 8385500554205 8462431751950 9231743729400 10062600665046 10154918102340 11078092475280 11179726351200 12185901722808 12308991639200 12693647627925 13416800886728 13539890803120 13847615594100 15093900997569 15232377153510 16247868963744 16771001108410 16924863503900 18448101219251 18463487458800 20125201330092 20309836204680 22156184950560 24371803445616 25156501662615 25387295255850 26833601773456 27079781606240 27695231188200 30187801995138 30464754307020 33542002216820 33849727007800 36896202438502 36926974917600 38080942883775 40250402660184 40619672409360 41927502771025 48743606891232 50313003325230 50774590511700 53667203546912 55344303657753 55390462376400 60375603990276 60929508614040 67084004433640 67699454015600 73792404877004 75469504987845 76161885767550 80500805320368 81239344818720 83855005542050 92240506096255 100626006650460 101549181023400 110688607315506 110780924752800 120751207980552 121859017228080 125782508313075 134168008867280 135398908031200 147584809754008 150939009975690 152323771535100 161001610640736 166032910973259 167710011084100 184481012192510 201252013300920 203098362046800 221377214631012 241502415961104 243718034456160 251565016626150 268336017734560 276721518288765 295169619508016 301878019951380 304647543070200 332065821946518 335420022168200 368962024385020 377347524939225 402504026601840 406196724093600 442754429262024 461202530481275 483004831922208 503130033252300 553443036577530 590339239016032 603756039902760 609295086140400 664131643893036 670840044336400 737924048770040 754695049878450 805008053203680 830164554866295 885508858524048 922405060962550 1006260066504600 1106886073155060 1207512079805520 1218590172280800 1328263287786072 1341680088672800 1383607591443825 1475848097540080 1509390099756900 1660329109732590 1771017717048096 1844810121925100 2012520133009200 2213772146310120 2415024159611040 2656526575572144 2767215182887650 2951696195080160 3018780199513800 3320658219465180 3689620243850200 4025040266018400 4150822774331475 4427544292620240 5313053151144288 5534430365775300 6037560399027600 6641316438930360 7379240487700400 8301645548662950 8855088585240480 11068860731550600 12075120798055200 13282632877860720 14758480975400800 16603291097325900 22137721463101200 26565265755721440 33206582194651800 44275442926202400 66413164389303600 132826328778607200
- Sum of all divisors σ(n): 515689835982385428
- Sum of proper divisors (its aliquot sum) s(n): 382863507203778228
- 132826328778607200 is an abundant number, because the sum of its proper divisors (382863507203778228) is greater than itself. Its abundance is 250037178425171028
Bases of 132826328778607200
- Binary: 1110101111110010011010111100111111010101100001010011000002
- Hexadecimal: 0x1D7E4D79FAB0A60
- Base-36: 10BV0520LP40
Squares and roots of 132826328778607200
- 132826328778607200 squared (1328263287786072002) is 17642833616802655266952371891840000
- 132826328778607200 cubed (1328263287786072003) is 2343432818571693082203731679250559175584245248000000
-
The
square root of 132826328778607200 is 364453465.8617025689 -
The
cube root of 132826328778607200 is 510224.5951422809 - Being both a perfect square and a perfect cube, 132826328778607200 is also a
perfect sixth number .
Scales and comparisons
How big is 132826328778607200?- 132,826,328,778,607,200 seconds is equal to 4,223,466,396 years, 18 weeks, 22 hours.
-
To count from 1 to 132,826,328,778,607,200 would take you about twelve billion, six hundred seventy million, three hundred ninety-nine thousand, one hundred eighty-nine 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 132826328778607200 cubic inches would be around 42518.7 feet tall.
Recreational maths with 132826328778607200
- 132826328778607200 backwards is 002706877823628231
- 132826328778607200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 132826328778607200's digits is 72
- More coming soon!
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The information we have on file for 132826328778607200 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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