132884408394549456076800
132,884,408,394,549,456,076,800 is an even composite number composed of six prime numbers multiplied together.
132884408394549456076800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred thirty-two divisors.
Prime factorization of 132884408394549456076800:
216 × 33 × 52 × 17 × 7927 × 22291153589
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 7927 × 22291153589)See below for interesting mathematical facts about the number 132884408394549456076800 from the Numbermatics database.
Names of 132884408394549456076800
- Cardinal: 132884408394549456076800 can be written as One hundred thirty-two sextillion, eight hundred eighty-four quintillion, four hundred eight quadrillion, three hundred ninety-four trillion, five hundred forty-nine billion, four hundred fifty-six million, seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.328844083945494560768 × 1023
Factors of 132884408394549456076800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 24
- Sum of prime factors: 22291161543
Divisors of 132884408394549456076800
- Number of divisors d(n): 1632
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 120 128 135 136 144 150 153 160 170 180 192 200 204 216 225 240 255 256 270 272 288 300 306 320 340 360 384 400 408 425 432 450 459 480 510 512 540 544 576 600 612 640 675 680 720 765 768 800 816 850 864 900 918 960 1020 1024 1080 1088 1152 1200 1224 1275 1280 1350 1360 1440 1530 1536 1600 1632 1700 1728 1800 1836 1920 2040 2048 2160 2176 2295 2304 2400 2448 2550 2560 2700 2720 2880 3060 3072 3200 3264 3400 3456 3600 3672 3825 3840 4080 4096 4320 4352 4590 4608 4800 4896 5100 5120 5400 5440 5760 6120 6144 6400 6528 6800 6912 7200 7344 7650 7680 7927 8160 8192 8640 8704 9180 9216 9600 9792 10200 10240 10800 10880 11475 11520 12240 12288 12800 13056 13600 13824 14400 14688 15300 15360 15854 16320 16384 17280 17408 18360 18432 19200 19584 20400 20480 21600 21760 22950 23040 23781 24480 24576 25600 26112 27200 27648 28800 29376 30600 30720 31708 32640 32768 34560 34816 36720 36864 38400 39168 39635 40800 40960 43200 43520 45900 46080 47562 48960 49152 51200 52224 54400 55296 57600 58752 61200 61440 63416 65280 65536 69120 69632 71343 73440 73728 76800 78336 79270 81600 81920 86400 87040 91800 92160 95124 97920 98304 102400 104448 108800 110592 115200 117504 118905 122400 122880 126832 130560 134759 138240 139264 142686 146880 147456 153600 156672 158540 163200 163840 172800 174080 183600 184320 190248 195840 196608 198175 204800 208896 214029 217600 221184 230400 235008 237810 244800 245760 253664 261120 269518 276480 278528 285372 293760 294912 307200 313344 317080 326400 327680 345600 348160 356715 367200 368640 380496 391680 396350 404277 409600 417792 428058 435200 442368 460800 470016 475620 489600 491520 507328 522240 539036 552960 557056 570744 587520 589824 594525 614400 626688 634160 652800 673795 691200 696320 713430 734400 737280 760992 783360 792700 808554 819200 835584 856116 870400 884736 921600 940032 951240 979200 983040 1014656 1044480 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5407080419700091800 5428284656640092160 5587839384153292800 5767552447680097920 5790170300416098304 6106820238720103680 6152055944192104448 6488496503640110160 6513941587968110592 6785355820800115200 6921062937216117504 7209440559600122400 7237712875520122880 7633525298400129600 7690069930240130560 8110620629550137700 8142426984960138240 8381759076229939200 8651328671520146880 8685255450624147456 9047141094400153600 9228083916288156672 9612587412800163200 9770912381952165888 10178033731200172800 10381594405824176256 10814160839400183600 10856569313280184320 11535104895360195840 11580340600832196608 12213640477440207360 12304111888384208896 12976993007280220320 13027883175936221184 13570711641600230400 13842125874432235008 14418881119200244800 14475425751040245760 15267050596800259200 15380139860480261120 16221241259100275400 16284853969920276480 16763518152459878400 17302657343040293760 17370510901248294912 18094282188800307200 18456167832576313344 19225174825600326400 19541824763904331776 20356067462400345600 20763188811648352512 21628321678800367200 21713138626560368640 23070209790720391680 24427280954880414720 24608223776768417792 25953986014560440640 26055766351872442368 27141423283200460800 27684251748864470016 28837762238400489600 28950851502080491520 30534101193600518400 30760279720960522240 32442482518200550800 32569707939840552960 34605314686080587520 34741021802496589824 36188564377600614400 36912335665152626688 38450349651200652800 39083649527808663552 40712134924800691200 41526377623296705024 43256643357600734400 43426277253120737280 46140419581440783360 48854561909760829440 49216447553536835584 51907972029120881280 52111532703744884736 54282846566400921600 55368503497728940032 57675524476800979200 57901703004160983040 61068202387201036800 61520559441921044480 64884965036401101600 65139415879681105920 69210629372161175040 72377128755201228800 73824671330305253376 76900699302401305600 78167299055617327104 81424269849601382400 83052755246593410048 86513286715201468800 86852554506241474560 92280839162881566720 97709123819521658880 98432895107073671168 103815944058241762560 104223065407489769472 108565693132801843200 110737006995457880064 115351048953601958400 122136404774402073600 123041118883842088960 129769930072802203200 130278831759362211840 138421258744322350080 144754257510402457600 147649342660610506752 153801398604802611200 156334598111234654208 162848539699202764800 166105510493186820096 173026573430402937600 173705109012482949120 184561678325763133440 195418247639043317760 196865790214147342336 207631888116483525120 217131386265603686400 221474013990915760128 230702097907203916800 244272809548804147200 246082237767684177920 259539860145604406400 260557663518724423680 276842517488644700160 289508515020804915200 295298685321221013504 307602797209605222400 312669196222469308416 325697079398405529600 332211020986373640192 346053146860805875200 369123356651526266880 390836495278086635520 415263776232967050240 434262772531207372800 442948027981831520256 461404195814407833600 488545619097608294400 492164475535368355840 519079720291208812800 521115327037448847360 553685034977289400320 590597370642442027008 615205594419210444800 651394158796811059200 664422041972747280384 692106293721611750400 738246713303052533760 781672990556173271040 830527552465934100480 868525545062414745600 885896055963663040512 922808391628815667200 977091238195216588800 984328951070736711680 1038159440582417625600 1107370069954578800640 1230411188838420889600 1302788317593622118400 1328844083945494560768 1384212587443223500800 1476493426606105067520 1563345981112346542080 1661055104931868200960 1771792111927326081024 1845616783257631334400 1954182476390433177600 2076318881164835251200 2214740139909157601280 2460822377676841779200 2605576635187244236800 2657688167890989121536 2768425174886447001600 2952986853212210135040 3322110209863736401920 3691233566515262668800 3908364952780866355200 4152637762329670502400 4429480279818315202560 4921644755353683558400 5315376335781978243072 5536850349772894003200 6644220419727472803840 7382467133030525337600 7816729905561732710400 8305275524659341004800 8858960559636630405120 11073700699545788006400 13288440839454945607680 14764934266061050675200 16610551049318682009600 22147401399091576012800 26576881678909891215360 33221102098637364019200 44294802798183152025600 66442204197274728038400 132884408394549456076800
- Sum of all divisors σ(n): 517007673331310682374400
- Sum of proper divisors (its aliquot sum) s(n): 384123264936761226297600
- 132884408394549456076800 is an abundant number, because the sum of its proper divisors (384123264936761226297600) is greater than itself. Its abundance is 251238856542211770220800
Bases of 132884408394549456076800
- Binary: 111000010001110101101100111110110011100010010101000000101100100000000000000002
- Hexadecimal: 0x1C23AD9F6712A0590000
- Base-36: LN09FQMTNFF4LC0
Squares and roots of 132884408394549456076800
- 132884408394549456076800 squared (1328844083945494560768002) is 17658265994369405950644414359298732447498240000
- 132884408394549456076800 cubed (1328844083945494560768003) is 2346508229935369086400963229879598268345589154886041804925304832000000
-
The
square root of 132884408394549456076800 is 364533137580.8644588865 -
The
cube root of 132884408394549456076800 is 51029895.1209711887
Scales and comparisons
How big is 132884408394549456076800?- 132,884,408,394,549,456,076,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 132,884,408,394,549,456,076,800 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 132884408394549456076800 cubic inches would be around 4252491.3 feet tall.
Recreational maths with 132884408394549456076800
- 132884408394549456076800 backwards is 008670654945493804488231
- 132884408394549456076800 is a
Harshad number . - The number of decimal digits it has is: 24
- The sum of 132884408394549456076800's digits is 108
- More coming soon!
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"Number 132884408394549456076800 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 132884408394549456076800 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/132884408394549456076800/
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Numbermatics. 2024. "Number 132884408394549456076800 - Facts about the integer". https://numbermatics.com/n/132884408394549456076800/
The information we have on file for 132884408394549456076800 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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