132438623651356800
132,438,623,651,356,800 is an even composite number composed of nine prime numbers multiplied together.
What does the number 132438623651356800 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 3072 divisors.
132438623651356800 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 132438623651356800:
27 × 3 × 52 × 19 × 31 × 113 × 127 × 877 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 31 × 113 × 127 × 877 × 1861)See below for interesting mathematical facts about the number 132438623651356800 from the Numbermatics database.
Names of 132438623651356800
- Cardinal: 132438623651356800 can be written as One hundred thirty-two quadrillion, four hundred thirty-eight trillion, six hundred twenty-three billion, six hundred fifty-one million, three hundred fifty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.324386236513568 × 1017
Factors of 132438623651356800
Divisors of 132438623651356800
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 31 32 38 40 48 50 57 60 62 64 75 76 80 93 95 96 100 113 114 120 124 127 128 150 152 155 160 186 190 192 200 226 228 240 248 254 285 300 304 310 320 339 372 380 381 384 400 452 456 465 475 480 496 508 565 570 589 600 608 620 635 640 678 744 760 762 775 800 877 904 912 930 950 960 992 1016 1130 1140 1178 1200 1216 1240 1270 1356 1425 1488 1520 1524 1550 1600 1695 1754 1767 1808 1824 1860 1861 1900 1905 1920 1984 2032 2147 2260 2280 2325 2356 2400 2413 2432 2480 2540 2631 2712 2825 2850 2945 2976 3040 3048 3100 3175 3200 3390 3503 3508 3534 3616 3648 3720 3722 3800 3810 3937 3968 4064 4294 4385 4520 4560 4650 4712 4800 4826 4960 5080 5262 5424 5583 5650 5700 5890 5952 6080 6096 6200 6350 6441 6780 7006 7016 7068 7232 7239 7296 7440 7444 7600 7620 7874 8128 8475 8588 8770 8835 9040 9120 9300 9305 9424 9525 9600 9652 9920 10160 10509 10524 10735 10848 11166 11300 11400 11780 11811 11904 12065 12160 12192 12400 12700 12882 13155 13560 14012 14032 14136 14351 14464 14478 14725 14880 14888 15200 15240 15748 16256 16663 16950 17176 17515 17540 17670 18080 18240 18600 18610 18848 19050 19304 19685 19840 20320 21018 21048 21470 21696 21925 22332 22600 22800 23560 23622 24130 24384 24800 25400 25764 26310 27120 27187 27915 28024 28064 28272 28702 28956 29450 29760 29776 30400 30480 31496 32205 33326 33900 34352 35030 35080 35340 35359 36160 36195 36480 37200 37220 37696 38100 38608 39370 40640 42036 42096 42940 43053 43392 43850 44175 44664 45200 45600 46525 47120 47244 48260 48768 49600 49989 50800 51528 52545 52620 53675 54240 54374 55830 56048 56128 56544 57404 57691 57912 58900 59055 59520 59552 60325 60800 60960 62992 64410 65775 66557 66652 67800 68704 70060 70160 70680 70718 71755 72320 72390 74400 74440 74803 75392 76200 77216 78740 81280 81561 83315 84072 84192 85880 86106 87575 87700 88350 89328 90400 91200 93050 94240 94488 96520 98425 99101 99200 99978 101600 103056 105090 105240 106077 107350 108480 108748 111379 111660 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5621333771280 5808711563656 5860116090768 5930441682400 6040530155136 6104287594550 6168543253440 6292218911600 6301200097600 6517648801740 6675333853395 6727895537280 6860682949200 6952158721856 7026667214100 7116530018880 7120356110288 7260889454570 7325145113460 7495111695040 7550662693920 7561440117120 7710679066800 7813488121024 7948065993600 8147061002175 8409869421600 8690198402320 8713067345484 8895662523600 8900445137860 8994134034048 9147577265600 9156431391825 9228529276800 9368889618800 9438328367400 9451800146400 9766860151280 10067550258560 10280905422400 10428238082784 10680534165432 10862748002900 10891334181855 10977092718720 11125556422325 11213159228800 11242667542560 11617423127312 11720232181536 11860883364800 12208575189100 12337086506880 12584437823200 12602400195200 13035297603480 13350667706790 13721365898400 13795689963683 13904317443712 14053334428200 14233060037760 14240712220576 14521778909140 14650290226920 14990223390080 15101325387840 15421358133600 15626976242048 16294122004350 16819738843200 17380396804640 17426134690968 17791325047200 17800890275720 18152223636425 18295154531200 18312862783650 18737779237600 18876656734800 18903600292800 19533720302560 20561810844800 20856476165568 21361068330864 21725496005800 21782668363710 22251112844650 22485335085120 23234846254624 23440464363072 23721766729600 24417150378200 25168875646400 26070595206960 26701335413580 27442731796800 27591379927366 28106668856400 28481424441152 29043557818280 29300580453840 30202650775680 30842716267200 32588244008700 33376669266975 33639477686400 34760793609280 34852269381936 35582650094400 35601780551440 36304447272850 36625725567300 37475558475200 37753313469600 37807200585600 39067440605120 41387069891049 41712952331136 42722136661728 43450992011600 43565336727420 44502225689300 44970670170240 46469692509248 46880928726144 48834300756400 50337751292800 52141190413920 53402670827160 54456670909275 54885463593600 55182759854732 56213337712800 56962848882304 58087115636560 58601160907680 61685432534400 65176488017400 66753338533950 68978449818415 69521587218560 69704538763872 71165300188800 71203561102880 72608894545700 73251451134600 74951116950400 75506626939200 78134881210240 82774139782098 85444273323456 86901984023200 87130673454840 89004451378600 92939385018496 97668601512800 104282380827840 106805341654320 108913341818550 110365519709464 112426675425600 116174231273120 117202321815360 130352976034800 133506677067900 137956899636830 139409077527744 142407122205760 145217789091400 146502902269200 151013253878400 165548279564196 170888546646912 173803968046400 174261346909680 178008902757200 195337203025600 206935349455245 208564761655680 213610683308640 217826683637100 220731039418928 224853350851200 232348462546240 234404643630720 260705952069600 267013354135800 275913799273660 278818155055488 284814244411520 290435578182800 293005804538400 331096559128392 344892249092075 347607936092800 348522693819360 356017805514400 390674406051200 413870698910490 427221366617280 435653367274200 441462078837856 464696925092480 521411904139200 534026708271600 551827598547320 580871156365600 586011609076800 662193118256784 689784498184150 697045387638720 712035611028800 827741397820980 854442733234560 871306734548400 882924157675712 1034676747276225 1042823808278400 1068053416543200 1103655197094640 1161742312731200 1172023218153600 1324386236513568 1379568996368300 1394090775277440 1424071222057600 1655482795641960 1742613469096800 1765848315351424 2069353494552450 2136106833086400 2207310394189280 2323484625462400 2648772473027136 2759137992736600 3310965591283920 3485226938193600 4138706989104900 4272213666172800 4414620788378560 5297544946054272 5518275985473200 6621931182567840 6970453876387200 8277413978209800 8829241576757120 11036551970946400 13243862365135680 16554827956419600 22073103941892800 26487724730271360 33109655912839200 44146207883785600 66219311825678400 132438623651356800
- Sum of all divisors σ(n): 482759527012761600
- Sum of proper divisors (its aliquot sum) s(n): 350320903361404800
- 132438623651356800 is an abundant number, because the sum of its proper divisors (350320903361404800) is greater than itself. Its abundance is 217882279710048000
Bases of 132438623651356800
- Binary: 1110101101000010000111001111111010100011111100000100000002
- Hexadecimal: 0x1D68439FD47E080
- Base-36: 1081KNS235HC
Squares and roots of 132438623651356800
- 132438623651356800 squared (1324386236513568002) is 17539989034665724771638480906240000
- 132438623651356800 cubed (1324386236513568003) is 2322972006611018983707745421969389387469586432000000
-
The
square root of 132438623651356800 is 363921177.8000241635 -
The
cube root of 132438623651356800 is 509727.6819314899
Scales and comparisons
How big is 132438623651356800?- 132,438,623,651,356,800 seconds is equal to 4,211,138,572 years, 28 weeks, 5 days, 5 hours, 20 minutes.
-
To count from 1 to 132,438,623,651,356,800 would take you about twelve billion, six hundred thirty-three million, four hundred fifteen thousand, seven hundred seventeen 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 132438623651356800 cubic inches would be around 42477.3 feet tall.
Recreational maths with 132438623651356800
- 132438623651356800 backwards is 008653156326834231
- The number of decimal digits it has is: 18
- The sum of 132438623651356800's digits is 66
- More coming soon!
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Cite this page
MLA style:
"Number 132438623651356800 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 132438623651356800 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/132438623651356800/
Chicago style:
Numbermatics. 2024. "Number 132438623651356800 - Facts about the integer". https://numbermatics.com/n/132438623651356800/
The information we have on file for 132438623651356800 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 132438623651356800, math, Factors of 132438623651356800, curriculum, school, college, exams, university, Prime factorization of 132438623651356800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two quadrillion, four hundred thirty-eight trillion, six hundred twenty-three billion, six hundred fifty-one million, three hundred fifty-six thousand, eight hundred.