132827180657551968
132,827,180,657,551,968 is an even composite number composed of five prime numbers multiplied together.
What does the number 132827180657551968 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
132827180657551968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 132827180657551968:
25 × 3 × 73 × 1372 × 5993
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 137 × 137 × 599 × 599 × 599)See below for interesting mathematical facts about the number 132827180657551968 from the Numbermatics database.
Names of 132827180657551968
- Cardinal: 132827180657551968 can be written as One hundred thirty-two quadrillion, eight hundred twenty-seven trillion, one hundred eighty billion, six hundred fifty-seven million, five hundred fifty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.32827180657551968 × 1017
Factors of 132827180657551968
Divisors of 132827180657551968
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 137 147 168 196 224 274 294 336 343 392 411 548 588 599 672 686 784 822 959 1029 1096 1176 1198 1372 1568 1644 1797 1918 2058 2192 2352 2396 2744 2877 3288 3594 3836 4116 4193 4384 4704 4792 5488 5754 6576 6713 7188 7672 8232 8386 9584 10976 11508 12579 13152 13426 14376 15344 16464 16772 18769 19168 20139 23016 25158 26852 28752 29351 30688 32928 33544 37538 40278 46032 46991 50316 53704 56307 57504 58702 67088 75076 80556 82063 88053 92064 93982 100632 107408 112614 117404 131383 134176 140973 150152 161112 164126 176106 187964 201264 205457 214816 225228 234808 246189 262766 281946 300304 322224 328252 352212 358801 375928 394149 402528 410914 450456 469616 492378 525532 563892 574441 600608 616371 644448 656504 704424 717602 751856 788298 821828 900912 919681 939232 984756 1051064 1076403 1127784 1148882 1232742 1313008 1408848 1435204 1503712 1576596 1643656 1723323 1801824 1839362 1969512 2102128 2152806 2255568 2297764 2465484 2511607 2626016 2759043 2817696 2870408 3153192 3287312 3446646 3678724 3939024 4021087 4204256 4305612 4511136 4595528 4930968 5023214 5518086 5740816 6306384 6437767 6574624 6893292 7357448 7534821 7878048 8042174 8611224 9191056 9861936 10046428 11036172 11242631 11481632 12063261 12612768 12875534 13786584 14714896 15069642 16084348 17222448 17581249 18382112 19313301 19723872 20092856 22072344 22485262 24126522 25751068 27573168 28147609 29429792 30139284 32168696 33727893 34444896 35162498 38626602 40185712 44144688 44970524 48253044 49155737 51502136 52743747 55146336 56295218 60278568 64337392 67455786 70324996 77253204 78698417 80371424 84442827 88289376 89941048 96506088 98311474 103004272 105487494 112590436 120557136 123068743 128674784 134911572 140649992 147467211 154506408 157396834 168885654 179882096 193012176 196622948 206008544 210974988 214921799 225180872 236095251 241114272 246137486 269823144 281299984 294934422 309012816 314793668 337771308 344090159 359764192 369206229 386024352 393245896 421949976 429843598 450361744 472190502 492274972 539646288 550888919 562599968 589868844 618025632 629587336 644765397 675542616 688180318 738412458 786491792 843899952 859687196 900723488 944381004 984549944 1032270477 1079292576 1101777838 1179737688 1259174672 1289530794 1351085232 1376360636 1476824916 1504452593 1572983584 1652666757 1687799904 1719374392 1888762008 1969099888 2064540954 2203555676 2359475376 2408631113 2518349344 2579061588 2702170464 2752721272 2953649832 3008905186 3305333514 3438748784 3777524016 3856222433 3938199776 4129081908 4407111352 4513357779 4718950752 4817262226 5158123176 5505442544 5907299664 6017810372 6610667028 6734335969 6877497568 7225893339 7555048032 7712444866 8258163816 8814222704 9026715558 9634524452 10316246352 10531168151 11010885088 11568667299 11814599328 12035620744 13221334056 13468671938 14451786678 15424889732 16516327632 16860417791 17628445408 18053431116 19269048904 20203007907 20632492704 21062336302 23137334598 24071241488 26442668112 26937343876 28903573356 29444286463 30849779464 31593504453 33032655264 33720835582 36106862232 38538097808 40406015814 42124672604 46274669196 47140351783 48142482976 50581253373 52885336224 53874687752 57807146712 58888572926 61699558928 63187008906 67441671164 72213724464 73718177057 77076195616 80812031628 84249345208 88332859389 92549338392 94280703566 101162506746 107749375504 115614293424 117777145852 123399117856 126374017812 134883342328 141421055349 144427448928 147436354114 161624063256 168498690416 176665718778 185098676784 188561407132 202325013492 206110005241 215498751008 221154531171 231228586848 235554291704 252748035624 269766684656 282842110698 294872708228 323248126512 329982462481 336997380832 353331437556 370197353568 377122814264 404650026984 412220010482 442309062342 471108583408 505496071248 539533369312 565684221396 589745416456 618330015723 646496253024 659964924962 706662875112 754245628528 809300053968 824440020964 884618124684 942217166816 989947387443 1010992142496 1131368442792 1179490832912 1236660031446 1319929849924 1413325750224 1442770036687 1508491257056 1618600107936 1648880041928 1769236249368 1979894774886 2262736885584 2309877237367 2358981665824 2473320062892 2639859699848 2826651500448 2885540073374 3297760083856 3538472498736 3959789549772 4033867245431 4328310110061 4525473771168 4619754474734 4946640125784 5279719399696 5771080146748 6595520167712 6929631712101 7076944997472 7919579099544 8067734490862 8656620220122 9239508949468 9893280251568 10099390256809 10559438799392 11542160293496 12101601736293 13859263424202 15839158199088 16135468981724 17313240440244 18479017898936 19786560503136 20198780513618 23084320586992 24203203472586 27718526848404 28237070718017 30298170770427 31678316398176 32270937963448 34626480880488 36958035797872 40397561027236 46168641173984 48406406945172 55437053696808 56474141436034 60596341540854 64541875926896 69252961760976 73916071595744 80795122054472 84711212154051 96812813890344 110874107393616 112948282872068 121192683081708 129083751853792 138505923521952 161590244108944 169422424308102 193625627780688 197659495026119 221748214787232 225896565744136 242385366163416 323180488217888 338844848616204 387251255561376 395318990052238 451793131488272 484770732326832 592978485078357 677689697232408 790637980104476 903586262976544 969541464653664 1185956970156714 1355379394464816 1383616465182833 1581275960208952 2371913940313428 2710758788929632 2767232930365666 3162551920417904 4150849395548499 4743827880626856 5534465860731332 6325103840835808 8301698791096998 9487655761253712 11068931721462664 16603397582193996 18975311522507424 22137863442925328 33206795164387992 44275726885850656 66413590328775984 132827180657551968
- Sum of all divisors σ(n): 410288422158720000
- Sum of proper divisors (its aliquot sum) s(n): 277461241501168032
- 132827180657551968 is an abundant number, because the sum of its proper divisors (277461241501168032) is greater than itself. Its abundance is 144634060843616064
Bases of 132827180657551968
- Binary: 1110101111110010110011101111101111001110000101010011000002
- Hexadecimal: 0x1D7E59DF79C2A60
- Base-36: 10BVB0EJBXPC
Squares and roots of 132827180657551968
- 132827180657551968 squared (1328271806575519682) is 17643059921433947658155070620673024
- 132827180657551968 cubed (1328271806575519683) is 2343477907536321596581159697873705415794848415711232
-
The
square root of 132827180657551968 is 364454634.5672558025 -
The
cube root of 132827180657551968 is 510225.6859116199
Scales and comparisons
How big is 132827180657551968?- 132,827,180,657,551,968 seconds is equal to 4,223,493,483 years, 24 weeks, 22 hours, 12 minutes, 48 seconds.
-
To count from 1 to 132,827,180,657,551,968 would take you about twelve billion, six hundred seventy million, four hundred eighty thousand, four hundred fifty 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 132827180657551968 cubic inches would be around 42518.8 feet tall.
Recreational maths with 132827180657551968
- 132827180657551968 backwards is 869155756081728231
- 132827180657551968 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 132827180657551968's digits is 84
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 132827180657551968 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 132827180657551968 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/132827180657551968/
Chicago style:
Numbermatics. 2024. "Number 132827180657551968 - Facts about the integer". https://numbermatics.com/n/132827180657551968/
The information we have on file for 132827180657551968 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!
Keywords: Divisors of 132827180657551968, math, Factors of 132827180657551968, curriculum, school, college, exams, university, Prime factorization of 132827180657551968, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two quadrillion, eight hundred twenty-seven trillion, one hundred eighty billion, six hundred fifty-seven million, five hundred fifty-one thousand, nine hundred sixty-eight.