132984521457216000
132,984,521,457,216,000 is an even composite number composed of eight prime numbers multiplied together.
132984521457216000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 132984521457216000:
29 × 3 × 53 × 11 × 13 × 17 × 16381 × 17393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 13 × 17 × 16381 × 17393)See below for interesting mathematical facts about the number 132984521457216000 from the Numbermatics database.
Names of 132984521457216000
- Cardinal: 132984521457216000 can be written as One hundred thirty-two quadrillion, nine hundred eighty-four trillion, five hundred twenty-one billion, four hundred fifty-seven million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.32984521457216 × 1017
Factors of 132984521457216000
Divisors of 132984521457216000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 17 20 22 24 25 26 30 32 33 34 39 40 44 48 50 51 52 55 60 64 65 66 68 75 78 80 85 88 96 100 102 104 110 120 125 128 130 132 136 143 150 156 160 165 170 176 187 192 195 200 204 208 220 221 240 250 255 256 260 264 272 275 286 300 312 320 325 330 340 352 374 375 384 390 400 408 416 425 429 440 442 480 500 510 512 520 528 544 550 561 572 600 624 640 650 660 663 680 704 715 748 750 768 780 800 816 825 832 850 858 880 884 935 960 975 1000 1020 1040 1056 1088 1100 1105 1122 1144 1200 1248 1275 1280 1300 1320 1326 1360 1375 1408 1430 1496 1500 1536 1560 1600 1625 1632 1650 1664 1700 1716 1760 1768 1870 1920 1950 2000 2040 2080 2112 2125 2145 2176 2200 2210 2244 2288 2400 2431 2496 2550 2560 2600 2640 2652 2720 2750 2805 2816 2860 2992 3000 3120 3200 3250 3264 3300 3315 3328 3400 3432 3520 3536 3575 3740 3840 3900 4000 4080 4125 4160 4224 4250 4290 4352 4400 4420 4488 4576 4675 4800 4862 4875 4992 5100 5200 5280 5304 5440 5500 5525 5610 5632 5720 5984 6000 6240 6375 6400 6500 6528 6600 6630 6656 6800 6864 7040 7072 7150 7293 7480 7680 7800 8000 8160 8250 8320 8448 8500 8580 8704 8800 8840 8976 9152 9350 9600 9724 9750 9984 10200 10400 10560 10608 10725 10880 11000 11050 11220 11440 11968 12000 12155 12480 12750 12800 13000 13056 13200 13260 13600 13728 14025 14080 14144 14300 14586 14960 15600 16000 16320 16381 16500 16575 16640 16896 17000 17160 17393 17600 17680 17875 17952 18304 18700 19200 19448 19500 19968 20400 20800 21120 21216 21450 21760 22000 22100 22440 22880 23375 23936 24000 24310 24960 25500 26000 26112 26400 26520 27200 27456 27625 28050 28160 28288 28600 29172 29920 31200 32000 32640 32762 33000 33150 33280 34000 34320 34786 35200 35360 35750 35904 36465 36608 37400 38400 38896 39000 40800 41600 42240 42432 42900 43520 44000 44200 44880 45760 46750 47872 48000 48620 49143 49920 51000 52000 52179 52800 53040 53625 54400 54912 55250 56100 56576 57200 58344 59840 60775 62400 64000 65280 65524 66000 66300 68000 68640 69572 70125 70400 70720 71500 71808 72930 73216 74800 77792 78000 81600 81905 82875 83200 84480 84864 85800 86965 88000 88400 89760 91520 93500 95744 96000 97240 98286 99840 102000 104000 104358 105600 106080 107250 108800 109824 110500 112200 113152 114400 116688 119680 121550 124800 130560 131048 132000 132600 136000 137280 139144 140250 140800 141440 143000 143616 145860 149600 155584 156000 163200 163810 165750 166400 169728 171600 173930 176000 176800 179520 180191 182325 183040 187000 191323 192000 194480 196572 204000 208000 208716 211200 212160 212953 214500 217600 219648 221000 224400 226109 228800 233376 239360 243100 245715 249600 260895 262096 264000 265200 272000 274560 278288 278477 280500 282880 286000 287232 291720 295681 299200 303875 311168 312000 326400 327620 331500 339456 343200 347860 352000 353600 359040 360382 364650 366080 374000 382646 388960 393144 408000 409525 416000 417432 422400 424320 425906 429000 434825 442000 448800 452218 457600 466752 478720 486200 491430 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2735181436800 2770510863692 2777918646750 2844588694272 2906130276600 2963113223200 3008699580480 3022375487664 3055710511425 3099872295040 3134062063000 3148307799650 3196743304260 3259424545520 3409859524544 3418976796000 3463138579615 3555735867840 3632662845750 3646908582400 3703891529000 3719846754048 3760874475600 3777969359580 3822932256000 3874840368800 3911309454624 3995929130325 4011599440640 4029833983552 4059108768000 4074280681900 4155766295538 4262324405680 4444669834800 4558635728000 4649808442560 4701093094500 4722461699475 4740981157120 4813919328768 4843550461000 4889136818280 5014499300800 5037292479440 5092850852375 5114789286816 5215079272832 5327905507100 5470362873600 5541021727384 5555837293500 5689177388544 5812260553200 5926226446400 6017399160960 6044750975328 6111421022850 6199744590080 6268124126000 6296615599300 6393486608520 6518849091040 6659881883875 6819719049088 6837953592000 6926277159230 7111471735680 7265325691500 7407783058000 7439693508096 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20057997203200 20149169917760 20371403409500 20459157147264 20778831477690 20860317091328 21311622028400 22164086909536 22223349174000 23249042212800 23612308497375 23704905785600 24069596643840 24179003901312 24445684091400 25072496504000 25186462397200 25573946434080 26075396364160 26639527535500 27278876196352 27351814368000 27705108636920 28445886942720 29061302766000 29631132232000 30086995804800 30223754876640 30557105114250 30998722950400 31290475636992 31483077996500 31967433042600 32238671868416 32594245455200 33246130364304 34098595245440 34631385796150 35557358678400 37198467540480 37608744756000 37779693595800 38748403688000 39113094546240 39959291303250 40115994406400 40298339835520 40742806819000 40918314294528 41557662955380 42623244056800 44328173819072 44446698348000 46498084425600 47224616994750 47409811571200 48358007802624 48891368182800 50144993008000 50372924794400 51147892868160 51947078694225 52150792728320 53279055071000 54703628736000 55410217273840 58122605532000 59262264464000 60173991609600 60447509753280 61114210228500 61997445900800 62580951273984 62966155993000 63934866085200 65188490910400 66492260728608 68197190490880 69262771592300 71114717356800 75217489512000 75559387191600 77496807376000 78226189092480 79918582606500 80596679671040 81485613638000 81836628589056 83115325910760 85246488113600 86578464490375 88656347638144 88893396696000 92996168851200 94449233989500 96716015605248 97782736365600 100289986016000 100745849588800 102295785736320 103894157388450 104301585456640 106558110142000 110820434547680 116245211064000 118524528928000 120347983219200 120895019506560 122228420457000 125932311986000 127869732170400 130376981820800 132984521457216 136394380981760 138525543184600 142229434713600 150434979024000 151118774383200 154993614752000 156452378184960 159837165213000 161193359342080 162971227276000 166230651821520 170492976227200 173156928980750 177312695276288 177786793392000 185992337702400 188898467979000 195565472731200 200579972032000 201491699177600 204591571472640 207788314776900 213116220284000 221640869095360 232490422128000 237049057856000 241790039013120 244456840914000 251864623972000 255739464340800 259735393471125 260753963641600 265969042914432 277051086369200 300869958048000 302237548766400 309987229504000 312904756369920 319674330426000 325942454552000 332461303643040 340985952454400 346313857961500 354625390552576 355573586784000 377796935958000 391130945462400 402983398355200 409183142945280 415576629553800 426232440568000 443281738190720 464980844256000 483580078026240 488913681828000 503729247944000 511478928681600 519470786942250 521507927283200 531938085828864 554102172738400 601739916096000 604475097532800 639348660852000 651884909104000 664922607286080 681971904908800 692627715923000 711147173568000 755593871916000 782261890924800 805966796710400 831153259107600 852464881136000 886563476381440 929961688512000 977827363656000 1007458495888000 1022957857363200 1038941573884500 1063876171657728 1108204345476800 1208950195065600 1278697321704000 1303769818208000 1329845214572160 1385255431846000 1511187743832000 1564523781849600 1662306518215200 1704929762272000 1773126952762880 1955654727312000 2014916991776000 2045915714726400 2077883147769000 2216408690953600 2417900390131200 2557394643408000 2607539636416000 2659690429144320 2770510863692000 3022375487664000 3324613036430400 3409859524544000 3911309454624000 4029833983552000 4155766295538000 4432817381907200 5114789286816000 5319380858288640 5541021727384000 6044750975328000 6649226072860800 7822618909248000 8311532591076000 8865634763814400 10229578573632000 11082043454768000 12089501950656000 13298452145721600 16623065182152000 22164086909536000 26596904291443200 33246130364304000 44328173819072000 66492260728608000 132984521457216000
- Sum of all divisors σ(n): 550057888735939584
- Sum of proper divisors (its aliquot sum) s(n): 417073367278723584
- 132984521457216000 is an abundant number, because the sum of its proper divisors (417073367278723584) is greater than itself. Its abundance is 284088845821507584
Bases of 132984521457216000
- Binary: 1110110000111010010110111101110100001010100101010000000002
- Hexadecimal: 0x1D874B7BA152A00
- Base-36: 10DF2TRP162O
Squares and roots of 132984521457216000
- 132984521457216000 squared (1329845214572160002) is 17684882947204742716118470656000000
- 132984521457216000 cubed (1329845214572160003) is 2351815695760902440620417445133538455453696000000000
-
The
square root of 132984521457216000 is 364670428.5477724337 -
The
cube root of 132984521457216000 is 510427.0694926895
Scales and comparisons
How big is 132984521457216000?- 132,984,521,457,216,000 seconds is equal to 4,228,496,434 years, 10 weeks, 5 days, 2 hours, 40 minutes.
-
To count from 1 to 132,984,521,457,216,000 would take you about twelve billion, six hundred eighty-five million, four hundred eighty-nine thousand, three hundred two 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 132984521457216000 cubic inches would be around 42535.6 feet tall.
Recreational maths with 132984521457216000
- 132984521457216000 backwards is 000612754125489231
- 132984521457216000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 132984521457216000's digits is 60
- More coming soon!
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Cite this page
MLA style:
"Number 132984521457216000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 132984521457216000 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/132984521457216000/
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The information we have on file for 132984521457216000 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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