132763436620966800
132,763,436,620,966,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132763436620966800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2430 divisors.
132763436620966800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 132763436620966800:
24 × 32 × 52 × 112 × 17 × 2572 × 5212
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 17 × 257 × 257 × 521 × 521)See below for interesting mathematical facts about the number 132763436620966800 from the Numbermatics database.
Names of 132763436620966800
- Cardinal: 132763436620966800 can be written as One hundred thirty-two quadrillion, seven hundred sixty-three trillion, four hundred thirty-six billion, six hundred twenty million, nine hundred sixty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.327634366209668 × 1017
Factors of 132763436620966800
Divisors of 132763436620966800
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 30 33 34 36 40 44 45 48 50 51 55 60 66 68 72 75 80 85 88 90 99 100 102 110 120 121 132 136 144 150 153 165 170 176 180 187 198 200 204 220 225 240 242 255 257 264 272 275 300 306 330 340 360 363 374 396 400 408 425 440 450 484 495 510 514 521 528 550 561 600 605 612 660 680 720 726 748 765 771 792 816 825 850 880 900 935 968 990 1020 1028 1042 1089 1100 1122 1200 1210 1224 1275 1285 1320 1360 1452 1496 1530 1542 1563 1584 1650 1683 1700 1800 1815 1870 1936 1980 2040 2056 2057 2084 2178 2200 2244 2313 2420 2448 2475 2550 2570 2605 2640 2805 2827 2904 2992 3025 3060 3084 3126 3300 3366 3400 3600 3630 3740 3825 3855 3960 4080 4112 4114 4168 4356 4369 4400 4488 4626 4675 4689 4840 4950 5100 5140 5210 5445 5610 5654 5731 5808 6050 6120 6168 6171 6252 6425 6600 6732 6800 7260 7480 7650 7710 7815 7920 8228 8336 8415 8481 8712 8738 8857 8976 9075 9252 9350 9378 9680 9900 10200 10280 10285 10420 10890 11220 11308 11462 11565 12100 12240 12336 12342 12504 12850 13025 13107 13200 13464 14025 14135 14520 14960 15300 15420 15630 16456 16830 16962 17193 17424 17476 17714 18150 18504 18513 18700 18756 19275 19800 20400 20560 20570 20840 21780 21845 22440 22616 22924 23130 23445 24200 24684 25008 25443 25700 26050 26214 26571 26928 27225 28050 28270 28655 29040 30600 30840 30855 31097 31260 32912 33660 33924 34386 34952 35428 36300 37008 37026 37400 37512 38550 39075 39321 39600 41140 41680 42075 42405 43560 43690 44285 44880 45232 45848 46260 46890 48059 48400 49368 50886 51400 51425 51579 52100 52428 53142 54450 56100 56540 57310 57825 61200 61680 61710 62194 62520 63041 65535 66049 67320 67848 68772 69904 70675 70856 72600 74052 74800 75024 77100 78150 78642 79713 82280 84150 84810 85965 87120 87380 88570 91696 92520 92565 93291 93780 96118 97427 98736 101772 102800 102850 103158 104200 104856 106284 108900 109225 112200 113080 114620 115650 117225 123420 124388 125040 126082 127215 131070 132098 132855 133897 134640 135696 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3657394948236 3747415508100 3798450349650 3860973553800 3913554905700 3944249453980 4033891487025 4247070909180 4269332624400 4302817586160 4304910396270 4338674399378 4571743685295 4633168264560 4696265886840 4733099344776 4876526597648 4930311817475 4996554010800 5064600466200 5096485091016 5165892475524 5218073207600 5308838636475 5378521982700 5486092422354 5662761212240 5739880528360 5791460330700 5870332358550 5916374180970 6077520559440 6095658247060 6370606363770 6454226379240 6457365594405 6508011599067 6705224071766 6887856634032 7078451515300 7099649017164 7171362643600 7174850660450 7314789896472 7494831016200 7596900699300 7619572808825 7721947107600 7827109811400 7888498907960 8067782974050 8494141818360 8609820792540 8677348798756 8874561271455 9143487370590 9392531773680 9466198689552 9860623634950 10057836107649 10129200932400 10192970182032 10331784951048 10617677272950 10757043965400 10762275990675 10846685998445 10972184844708 11479761056720 11582920661400 11740664717100 11832748361940 12191316494120 12741212727540 12908452758480 12914731188810 13016023198134 13410448143532 13715231055885 14156903030600 14199298034328 14349701320900 14629579792944 14790935452425 14989662032400 15193801398600 15239145617650 15654219622800 15776997815920 15926515909425 16135565948100 16763060179415 16988283636720 17219641585080 17354697597512 17749122542910 18286974741180 19524034797201 19721247269900 20115672215298 20663569902096 21235354545900 21514087930800 21524551981350 21693371996890 21944369689416 22858718426475 23165841322800 23481329434200 23665496723880 24382632988240 25482425455080 25829462377620 26032046396268 26820896287064 27430462111770 28313806061200 28398596068656 28699402641800 29581870904850 30173508322947 30387602797200 30478291235300 31853031818850 32271131896200 32286827972025 32540057995335 33526120358830 34439283170160 34709395195024 35498245085820 36573949482360 36878732394713 39048069594402 39442494539800 40231344430596 42470709091800 43049103962700 43386743993780 43888739378832 44372806357275 45717436852950 46962658868400 47330993447760 50289180538245 50964850910160 51658924755240 52064092792536 53641792574128 54233429992225 54860924223540 57398805283600 59163741809700 60347016645894 60956582470600 63706063637700 64542263792400 64573655944050 65080115990670 67052240717660 68576155279425 70996490171640 73147898964720 73757464789426 78096139188804 78884989079600 80462688861192 83815300897075 84941418183600 86098207925400 86773487987560 88745612714550 91434873705900 97620173986005 100578361076490 103317849510480 104128185585072 108466859984450 109721848447080 110636197184139 118327483619400 120694033291788 121913164941200 127412127275400 129147311888100 130160231981340 134104481435320 137152310558850 141992980343280 147514929578852 150867541614735 156192278377608 160925377722384 162700289976675 167630601794150 172196415850800 173546975975120 177491225429100 182869747411800 184393661973565 195240347972010 201156722152980 216933719968900 219443696894160 221272394368278 236654967238800 241388066583576 251445902691225 254824254550800 258294623776200 260320463962680 268208962870640 274304621117700 295029859157704 301735083229470 312384556755216 325400579953350 331908591552417 335261203588300 354982450858200 365739494823600 368787323947130 390480695944020 402313444305960 433867439937800 442544788736556 482776133167152 488100869930025 502891805382450 516589247552400 520640927925360 548609242235400 553180985920695 590059718315408 603470166458940 650801159906700 663817183104834 670522407176600 709964901716400 737574647894260 754337708073675 780961391888040 804626888611920 867734879875600 885089577473112 921968309867825 976201739860050 1005783610764900 1097218484470800 1106361971841390 1206940332917880 1301602319813400 1327634366209668 1341044814353200 1475149295788520 1508675416147350 1561922783776080 1659542957762085 1770179154946224 1843936619735650 1952403479720100 2011567221529800 2212723943682780 2413880665835760 2603204639626800 2655268732419336 2765904929603475 2950298591577040 3017350832294700 3319085915524170 3687873239471300 3904806959440200 4023134443059600 4425447887365560 5310537464838672 5531809859206950 6034701664589400 6638171831048340 7375746478942600 7809613918880400 8297714788810425 8850895774731120 11063619718413900 12069403329178800 13276343662096680 14751492957885200 16595429577620850 22127239436827800 26552687324193360 33190859155241700 44254478873655600 66381718310483400 132763436620966800
- Sum of all divisors σ(n): 539336842569283122
- Sum of proper divisors (its aliquot sum) s(n): 406573405948316322
- 132763436620966800 is an abundant number, because the sum of its proper divisors (406573405948316322) is greater than itself. Its abundance is 273809969327349522
Bases of 132763436620966800
- Binary: 1110101111010101110100100011001101111001111101011100100002
- Hexadecimal: 0x1D7ABA466F3EB90
- Base-36: 10B8PKSPRR80
Squares and roots of 132763436620966800
- 132763436620966800 squared (1327634366209668002) is 17626130103409468405449366702240000
- 132763436620966800 cubed (1327634366209668003) is 2340105606856917947138745732846367099756525632000000
-
The
square root of 132763436620966800 is 364367172.8091964105 -
The
cube root of 132763436620966800 is 510144.0534004393
Scales and comparisons
How big is 132763436620966800?- 132,763,436,620,966,800 seconds is equal to 4,221,466,620 years, 14 weeks, 1 day, 17 hours.
-
To count from 1 to 132,763,436,620,966,800 would take you about twelve billion, six hundred sixty-four million, three hundred ninety-nine thousand, eight hundred sixty 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 132763436620966800 cubic inches would be around 42512 feet tall.
Recreational maths with 132763436620966800
- 132763436620966800 backwards is 008669026634367231
- 132763436620966800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 132763436620966800's digits is 72
- More coming soon!
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"Number 132763436620966800 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 132763436620966800 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/132763436620966800/
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Numbermatics. 2024. "Number 132763436620966800 - Facts about the integer". https://numbermatics.com/n/132763436620966800/
The information we have on file for 132763436620966800 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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