132738497384633913600
132,738,497,384,633,913,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 132738497384633913600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2187 divisors.
132738497384633913600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred eighty-seven divisors.
Prime factorization of 132738497384633913600:
28 × 32 × 52 × 312 × 1312 × 118212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 31 × 131 × 131 × 11821 × 11821)See below for interesting mathematical facts about the number 132738497384633913600 from the Numbermatics database.
Names of 132738497384633913600
- Cardinal: 132738497384633913600 can be written as One hundred thirty-two quintillion, seven hundred thirty-eight quadrillion, four hundred ninety-seven trillion, three hundred eighty-four billion, six hundred thirty-three million, nine hundred thirteen thousand, six hundred.
Scientific notation
- Scientific notation: 1.327384973846339136 × 1020
Factors of 132738497384633913600
Divisors of 132738497384633913600
- Number of divisors d(n): 2187
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 128 131 144 150 155 160 180 186 192 200 225 240 248 256 262 279 288 300 310 320 360 372 384 393 400 450 465 480 496 524 558 576 600 620 640 655 720 744 768 775 786 800 900 930 960 961 992 1048 1116 1152 1179 1200 1240 1280 1310 1395 1440 1488 1550 1572 1600 1800 1860 1920 1922 1965 1984 2096 2232 2304 2325 2358 2400 2480 2620 2790 2880 2883 2976 3100 3144 3200 3275 3600 3720 3840 3844 3930 3968 4061 4192 4464 4650 4716 4800 4805 4960 5240 5580 5760 5766 5895 5952 6200 6288 6400 6550 6975 7200 7440 7688 7860 7936 8122 8384 8649 8928 9300 9432 9600 9610 9825 9920 10480 11160 11520 11532 11790 11821 11904 12183 12400 12576 13100 13950 14400 14415 14880 15376 15720 16244 16768 17161 17298 17856 18600 18864 19200 19220 19650 19840 20305 20960 22320 23064 23580 23642 23808 24025 24366 24800 25152 26200 27900 28800 28830 29475 29760 30752 31440 32488 33536 34322 34596 35463 35712 36549 37200 37728 38440 39300 39680 40610 41920 43245 44640 46128 47160 47284 48050 48732 49600 50304 51483 52400 55800 57600 57660 58950 59105 59520 60915 61504 62880 64976 68644 69192 70926 71424 72075 73098 74400 75456 76880 78600 81220 83840 85805 86490 89280 92256 94320 94568 96100 97464 99200 100608 101525 102966 104800 106389 111600 115320 117900 118210 119040 121830 123008 125760 125891 129952 137288 138384 141852 144150 146196 148800 150912 153760 154449 157200 162440 167680 171610 172980 177315 178560 182745 184512 188640 189136 192200 194928 198400 203050 205932 209600 212778 216225 223200 230640 235800 236420 243660 246016 251520 251782 257415 259904 274576 276768 283704 288300 292392 295525 297600 301824 304575 307520 308898 314400 324880 343220 345960 354630 357120 365490 366451 369024 377280 377673 378272 384400 389856 406100 411864 419200 425556 429025 432450 446400 461280 471600 472840 487320 503040 503564 514830 519808 531945 531991 549152 553536 567408 576600 584784 591050 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239801019960100 241715403721800 249512674809600 249534251444480 255360628125450 257829763969920 263598067742400 263872649062965 272384670000480 280726032875040 281464159000496 287761223952120 297353264750524 306945305548928 309395716763904 311917814305600 316647178875558 322287204962400 326861604000576 340480837500600 345313468742544 350907541093800 351464090323200 351830198750620 359701529940150 362227139193600 363179560000640 371691580938155 374301377166720 383681631936160 386744645954880 408577005000720 422196238500744 429716273283200 431641835928180 435815472000768 439787748438275 446029897125786 449161652600064 453974450000800 460417958323392 467876721458400 479602039920200 483430807443600 510721256250900 515659527939840 527196135484800 527745298125930 539552294910225 544769340000960 561452065750080 562928318000992 575522447904240 594706529501048 613890611097856 623835628611200 633294357751116 644574409924800 653723208001152 669044845688679 680961675001200 690626937485088 701815082187600 703660397501240 719403059880300 726359120001280 743383161876310 748602754333440 767363263872320 773489291909760 791617947188895 817154010001440 844392477001488 859432546566400 863283671856360 879575496876550 892059794251572 907948900001600 920835916646784 935753442916800 959204079840400 966861614887200 1021442512501800 1054392270969600 1055490596251860 1079104589820450 1089538680001920 1115074742814465 1122904131500160 1125856636001984 1151044895808480 1189413059002096 1247671257222400 1266588715502232 1289148819849600 1307446416002304 1319363245314825 1338089691377358 1361923350002400 1381253874970176 1403630164375200 1407320795002480 1438806119760600 1486766323752620 1534726527744640 1546978583819520 1583235894377790 1634308020002880 1688784954002976 1726567343712720 1759150993753100 1784119588503144 1815897800003200 1841671833293568 1858457904690775 1871506885833600 1918408159680800 1933723229774400 2042885025003600 2110981192503720 2158209179640900 2179077360003840 2230149485628930 2245808263000320 2251713272003968 2302089791616960 2304487801816561 2378826118004192 2533177431004464 2578297639699200 2638726490629650 2676179382754716 2723846700004800 2762507749940352 2807260328750400 2814641590004960 2877612239521200 2973532647505240 3069453055489280 3166471788755580 3268616040005760 3345224228443395 3377569908005952 3453134687425440 3518301987506200 3568239177006288 3631795600006400 3716915809381550 3743013771667200 3836816319361600 3867446459548800 3958089735944475 4085770050007200 4221962385007440 4316418359281800 4460298971257860 4503426544007936 4604179583233920 4608975603633122 4757652236008384 5066354862008928 5277452981259300 5352358765509432 5447693400009600 5525015499880704 5575373714072325 5614520657500800 5629283180009920 5755224479042400 5947065295010480 6332943577511160 6537232080011520 6690448456886790 6755139816011904 6906269374850880 6913463405449683 7036603975012400 7136478354012576 7433831618763100 7673632638723200 7734892919097600 7916179471888950 8171540100014400 8443924770014880 8632836718563600 8920597942515720 9208359166467840 9217951207266244 9515304472016768 10132709724017856 10554905962518600 10704717531018864 10895386800019200 11150747428144650 11229041315001600 11258566360019840 11510448958084800 11522439009082805 11894130590020960 12665887155022320 13380896913773580 13510279632023808 13812538749701760 13826926810899366 14073207950024800 14272956708025152 14867663237526200 15347265277446400 15832358943777900 16343080200028800 16726121142216975 16887849540029760 17265673437127200 17841195885031440 18435902414532488 19030608944033536 20265419448035712 20740390216349049 21109811925037200 21409435062037728 22301494856289300 22517132720039680 23020897916169600 23044878018165610 23788261180041920 25331774310044640 26761793827547160 27625077499403520 27653853621798732 28146415900049600 28545913416050304 29735326475052400 31664717887555800 32686160400057600 33452242284433950 33775699080059520 34531346874254400 34567317027248415 35682391770062880 36871804829064976 40530838896071424 41480780432698098 42219623850074400 42818870124075456 44602989712578600 46041795832339200 46089756036331220 47576522360083840 50663548620089280 53523587655094320 55307707243597464 56292831800099200 57091826832100608 57612195045414025 59470652950104800 63329435775111600 66904484568867900 67551398160119040 69062693748508800 69134634054496830 71364783540125760 73743609658129952 82961560865396196 84439247700148800 85637740248150912 89205979425157200 92179512072662440 95153044720167680 101327097240178560 103701951081745245 107047175310188640 110615414487194928 112585663600198400 115224390090828050 118941305900209600 126658871550223200 133808969137735800 138125387497017600 138269268108993660 142729567080251520 147487219316259904 165923121730792392 168878495400297600 171275480496301824 172836585136242075 178411958850314400 184359024145324880 202654194480357120 207403902163490490 214094350620377280 221230828974389856 230448780181656100 237882611800419200 253317743100446400 267617938275471600 276538536217987320 285459134160503040 294974438632519808 331846243461584784 337756990800595200 345673170272484150 356823917700628800 368718048290649760 414807804326980980 428188701240754560 442461657948779712 460897560363312200 475765223600838400 506635486200892800 518509755408726225 535235876550943200 553077072435974640 589948877265039616 663692486923169568 691346340544968300 713647835401257600 737436096581299520 829615608653961960 856377402481509120 884923315897559424 921795120726624400 1013270972401785600 1037019510817452450 1070471753101886400 1106154144871949280 1327384973846339136 1382692681089936600 1427295670802515200 1474872193162599040 1659231217307923920 1769846631795118848 1843590241453248800 2074039021634904900 2140943506203772800 2212308289743898560 2654769947692678272 2765385362179873200 2949744386325198080 3318462434615847840 3687180482906497600 4148078043269809800 4281887012407545600 4424616579487797120 5309539895385356544 5530770724359746400 6636924869231695680 7374360965812995200 8296156086539619600 8849233158975594240 11061541448719492800 13273849738463391360 14748721931625990400 16592312173079239200 22123082897438985600 26547699476926782720 33184624346158478400 44246165794877971200 66369248692316956800 132738497384633913600
- Sum of all divisors σ(n): 494186311523955557871
- Sum of proper divisors (its aliquot sum) s(n): 361447814139321644271
- 132738497384633913600 is an abundant number, because the sum of its proper divisors (361447814139321644271) is greater than itself. Its abundance is 228709316754687730671
Bases of 132738497384633913600
- Binary: 11100110010000111011110000000010111101101100011100011010001000000002
- Hexadecimal: 0x7321DE017B638D100
- Base-36: S0HGE9QNMEKG0
Squares and roots of 132738497384633913600
- 132738497384633913600 squared (1327384973846339136002) is 17619508687930464320926965891252264960000
- 132738497384633913600 cubed (1327384973846339136003) is 2338787107891392456819866675598396369162235796428947456000000
-
132738497384633913600 is a
perfect square number . Itssquare root is 11521219440 -
The
cube root of 132738497384633913600 is 5101121.0836056595
Scales and comparisons
How big is 132738497384633913600?- 132,738,497,384,633,913,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 132,738,497,384,633,913,600 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 132738497384633913600 cubic inches would be around 425093.4 feet tall.
Recreational maths with 132738497384633913600
- 132738497384633913600 backwards is 006319336483794837231
- 132738497384633913600 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 132738497384633913600's digits is 90
- More coming soon!
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"Number 132738497384633913600 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 132738497384633913600 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/132738497384633913600/
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Numbermatics. 2024. "Number 132738497384633913600 - Facts about the integer". https://numbermatics.com/n/132738497384633913600/
The information we have on file for 132738497384633913600 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 132738497384633913600, math, Factors of 132738497384633913600, curriculum, school, college, exams, university, Prime factorization of 132738497384633913600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two quintillion, seven hundred thirty-eight quadrillion, four hundred ninety-seven trillion, three hundred eighty-four billion, six hundred thirty-three million, nine hundred thirteen thousand, six hundred.