132807468546720
132,807,468,546,720 is an even composite number composed of eight prime numbers multiplied together.
132807468546720 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 132807468546720:
25 × 34 × 5 × 11 × 17 × 41 × 61 × 21911
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 17 × 41 × 61 × 21911)See below for interesting mathematical facts about the number 132807468546720 from the Numbermatics database.
Names of 132807468546720
- Cardinal: 132807468546720 can be written as One hundred thirty-two trillion, eight hundred seven billion, four hundred sixty-eight million, five hundred forty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3280746854672 × 1014
Factors of 132807468546720
Divisors of 132807468546720
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 27 30 32 33 34 36 40 41 44 45 48 51 54 55 60 61 66 68 72 80 81 82 85 88 90 96 99 102 108 110 120 122 123 132 135 136 144 153 160 162 164 165 170 176 180 183 187 198 204 205 216 220 240 244 246 255 264 270 272 288 297 305 306 324 328 330 340 352 360 366 369 374 396 405 408 410 432 440 451 459 480 488 492 495 510 528 540 544 549 561 594 610 612 615 648 656 660 671 680 697 720 732 738 748 765 792 810 816 820 864 880 891 902 915 918 935 976 984 990 1020 1037 1056 1080 1098 1107 1122 1188 1220 1224 1230 1296 1312 1320 1342 1353 1360 1377 1394 1440 1464 1476 1485 1496 1530 1584 1620 1632 1640 1647 1683 1760 1782 1804 1830 1836 1845 1870 1952 1968 1980 2013 2040 2074 2091 2160 2196 2214 2244 2255 2295 2376 2440 2448 2460 2501 2592 2640 2684 2706 2720 2745 2754 2788 2805 2928 2952 2970 2992 3060 3111 3168 3240 3280 3294 3321 3355 3366 3485 3564 3608 3660 3672 3690 3740 3936 3960 4026 4059 4080 4148 4182 4320 4392 4428 4455 4488 4510 4590 4752 4880 4896 4920 4941 5002 5049 5185 5280 5368 5412 5490 5508 5535 5576 5610 5856 5904 5940 5984 6039 6120 6222 6273 6480 6560 6588 6642 6710 6732 6765 6885 6970 7128 7216 7320 7344 7380 7480 7503 7667 7920 8052 8118 8160 8235 8296 8364 8415 8784 8856 8910 8976 9020 9180 9333 9504 9760 9840 9882 10004 10065 10098 10370 10455 10736 10824 10980 11016 11070 11152 11220 11407 11808 11880 12078 12177 12240 12444 12505 12546 12960 13176 13284 13420 13464 13530 13770 13940 14256 14432 14640 14688 14760 14960 15006 15147 15334 15555 15840 16104 16236 16470 16592 16605 16728 16830 17568 17712 17820 17952 18040 18117 18360 18666 18819 19680 19764 20008 20130 20196 20295 20740 20910 21472 21648 21911 21960 22032 22140 22304 22440 22509 22814 23001 23760 24156 24354 24480 24705 24888 25010 25092 25245 26352 26568 26840 26928 27060 27511 27540 27880 27999 28512 29280 29520 29920 30012 30195 30294 30668 31110 31365 32208 32472 32940 33184 33210 33456 33660 34221 35424 35640 36080 36234 36531 36720 37332 37515 37638 38335 39528 40016 40260 40392 40590 41480 41820 42517 43296 43822 43920 44064 44280 44880 45018 45628 46002 46665 47520 48312 48708 49410 49776 50020 50184 50490 52704 53136 53680 53856 54120 54351 55022 55080 55760 55998 56457 57035 59040 60024 60390 60588 60885 61336 62220 62730 64416 64944 65733 65880 66420 66912 67320 67527 68442 69003 71280 72160 72468 73062 73440 74664 75030 75276 75735 76670 79056 80032 80520 80784 81180 82533 82960 83640 83997 85034 87644 87840 88560 89760 90036 90585 91256 92004 93330 94095 96624 97416 98820 99552 100040 100368 100980 102663 106272 107360 108240 108702 109555 110044 110160 111520 111996 112545 112914 114070 115005 120048 120780 121176 121770 122672 124440 125460 127551 129888 131466 131760 132840 134640 135054 136884 137555 138006 139995 142560 144936 146124 149328 150060 150552 151470 153340 158112 161040 161568 162360 165066 165920 167280 167994 170068 171105 175288 177120 180072 181170 182512 182655 184008 186660 188190 193248 194832 197199 197640 200080 200736 201960 202581 205326 207009 212585 216480 217404 219110 220088 220320 223992 225090 225828 228140 230010 240096 241021 241560 242352 243540 245344 247599 248880 250920 255102 262932 263520 265680 269280 270108 271755 273768 275110 276012 279990 282285 289872 292248 298656 300120 301104 302940 306680 307989 322080 324720 328665 330132 334560 335988 337635 340136 342210 345015 350576 360144 362340 365024 365310 368016 372487 373320 376380 382653 389664 394398 395280 400160 403920 405162 410652 412665 414018 419985 425170 434808 438220 440176 447984 450180 451656 456280 460020 467687 482042 483120 484704 487080 495198 497760 501840 510204 513315 525864 531360 540216 543510 547536 550220 552024 559980 564570 579744 584496 591597 600240 602208 605880 613360 615978 621027 637755 649440 657330 660264 671976 675270 680272 684420 690030 701152 720288 723063 724680 730620 736032 742797 744974 746640 752760 765306 788796 790560 807840 810324 821304 825330 828036 839970 850340 869616 876440 880352 895968 898351 900360 903312 912560 920040 923967 935374 964084 966240 974160 985995 990396 1003680 1012905 1020408 1026630 1035045 1051728 1080432 1087020 1095072 1100440 1104048 1117461 1119960 1129140 1147959 1168992 1183194 1200480 1205105 1211760 1226720 1231956 1237995 1242054 1275510 1314660 1320528 1336571 1343952 1350540 1360544 1368840 1380060 1403061 1446126 1449360 1461240 1485594 1489948 1493280 1505520 1530612 1539945 1577592 1620648 1642608 1650660 1656072 1679940 1700680 1739232 1752880 1774791 1796702 1800720 1806624 1825120 1840080 1847934 1862435 1870748 1913265 1928168 1948320 1971990 1980792 2025810 2040816 2053260 2070090 2103456 2160864 2169189 2174040 2200880 2208096 2228391 2234922 2239920 2258280 2295918 2338435 2366388 2410210 2423520 2463912 2475990 2484108 2551020 2629320 2641056 2673142 2687904 2695053 2701080 2737680 2760120 2806122 2892252 2898720 2922480 2957985 2971188 2979896 3011040 3061224 3079890 3105135 3155184 3241296 3285216 3301320 3312144 3352383 3359880 3401360 3443877 3505760 3549582 3593404 3601440 3615315 3680160 3695868 3713985 3724870 3741496 3826530 3856336 3943980 3961584 4009713 4051620 4081632 4097357 4106520 4140180 4209183 4338378 4348080 4401760 4456782 4469844 4479840 4491755 4516560 4591836 4619835 4676870 4732776 4820420 4927824 4951980 4968216 5102040 5258640 5346284 5390106 5402160 5475360 5520240 5587305 5612244 5739795 5784504 5844960 5915970 5942376 5959792 6122448 6159780 6210270 6310368 6482592 6507567 6602640 6624288 6682855 6704766 6719760 6802720 6887754 7015305 7099164 7186808 7230630 7391736 7427970 7449740 7482992 7653060 7712672 7887960 7923168 8019426 8085159 8103240 8194714 8213040 8280360 8418366 8676756 8696160 8873955 8913564 8939688 8983510 9033120 9183672 9239670 9353740 9465552 9640840 9855648 9881861 9903960 9936432 10057149 10204080 10517280 10692568 10780212 10804320 10845945 11040480 11141955 11174610 11224488 11479590 11569008 11831940 11884752 11919584 12029139 12244896 12292071 12319560 12420540 12627549 13015134 13205280 13365710 13409532 13439520 13475265 13775508 14030610 14198328 14373616 14461260 14702281 14783472 14855940 14899480 14965984 15271967 15306120 15775920 16038852 16170318 16206480 16389428 16426080 16560720 16761915 16836732 17219385 17353512 17747910 17827128 17879376 17967020 18367344 18479340 18707480 18931104 19281680 19522701 19763722 19807920 19872864 20048565 20114298 20408160 20486785 21045915 21385136 21560424 21691890 22283910 22349220 22448976 22721707 22959180 23138016 23663880 23769504 24058278 24255477 24584142 24639120 24841080 25255098 26030268 26731420 26819064 26950530 27551016 28061220 28396656 28747232 28922520 29404562 29566944 29645583 29711880 29798960 30171447 30543934 30612240 31551840 32077704 32340636 32412960 32537835 32778856 33121440 33523830 33673464 34438770 34707024 35495820 35654256 35758752 35934040 36087417 36734688 36876213 36958680 37414960 37882647 38563360 39045402 39527444 39615840 40097130 40228596 40425795 40973570 42091830 42770272 43120848 43383780 44106843 44567820 44698440 44897952 45443414 45815901 45918360 47327760 48116556 48510954 49168284 49278240 49409305 49682160 50285745 50510196 52060536 53462840 53638128 53901060 54799411 55102032 56122440 56793312 57845040 58809124 59291166 59423760 59597920 60145695 60342894 61087868 61224480 61460355 63137745 64155408 64681272 65075670 65557712 67047660 67346928 68165121 68877540 69414048 70991640 71308512 71868080 72174834 72766431 73511405 73752426 73917360 74829920 75765294 76359835 78090804 79054888 80194260 80457192 80851590 81947140 84183660 86241696 86767560 88213686 88936749 89135640 89396880 90886828 91631802 91836720 94655520 96233112 97021908 97613505 98336568 98818610 99364320 100571490 101020392 104121072 106925680 107276256 107802120 108262251 109598822 110204064 110628639 112244880 113608535 115690080 117618248 118582332 118847520 120291390 120685788 121277385 122175736 122920710 126275490 128310816 129362544 130151340 131115424 132320529 134095320 134693856 136330242 137447703 137755080 141983280 143736160 144349668 145532862 147022810 147504852 147834720 148227915 150857235 151530588 152719670 156181608 158109776 160388520 160914384 161703180 163894280 164398233 167991637 168367320 173535120 176427372 177873498 178271280 178793760 180437085 181773656 183263604 183673440 184381065 189413235 192466224 194043816 195227010 196673136 197637220 201142980 202040784 204495363 208242144 213851360 215604240 216524502 219197644 220534215 221257278 224489760 227217070 229079505 235236496 237164664 240582780 241371576 242554770 244351472 245841420 249938777 252550980 258725088 260302680 264641058 266810247 268190640 272660484 273997055 274895406 275510160 283966560 288699336 291065724 294045620 295009704 296455830 301714470 303061176 305439340 312363216 316219552 320777040 321828768 323406360 327788560 328796466 331885917 335983274 336734640 340825605 347070240 352854744 355746996 356542560 360874170 363547312 363832155 366527208 368762130 378826470 384932448 388087632 390454020 393346272 395274440 396961587 402285960 404081568 408990726 412343109 431208480 433049004 438395288 441068430 442514556 444683745 454434140 458159010 470472992 474329328 481165560 482743152 485109540 488702944 491682840 493194699 499877554 503974911 505101960 520605360 529282116 533620494 536381280 541311255 545320968 547994110 549790812 551020320 553143195 577398672 582131448 588091240 590019408 592911660 602793521 603428940 606122352 610878680 613486089 624726432 641554080 646812720 655577120 657592932 661602645 663771834 671966548 673469280 681651210 687238515 705709488 711493992 721748340 727094624 727664310 733054416 737524260 749816331 757652940 776175264 780908040 790548880 793923174 800430741 804571920 817981452 821991165 824686218 839958185 866098008 876790576 882136860 885029112 889367490 908868280 916318020 931589987 948658656 962331120 965486304 970219080 983365680 986389398 999755108 1007949822 1010203920 1022476815 1041210720 1058564232 1067240988 1082622510 1090641936 1095988220 1099581624 1106286390 1154797344 1164262896 1176182480 1180038816 1185823320 1190884761 1205587042 1206857880 1212244704 1221757360 1226972178 1237029327 1249693885 1293625440 1315185864 1323205290 1327543668 1334051235 1343933096 1363302420 1374477030 1411418976 1422987984 1443496680 1455328620 1466108832 1475048520 1479584097 1499632662 1511924733 1515305880 1561816080 1581097760 1587846348 1600861482 1609143840 1635962904 1643982330 1649372436 1659429585 1679916370 1732196016 1753581152 1764273720 1770058224 1778734980 1808380563 1817736560 1832636040 1840458267 1863179974 1924662240 1940438160 1966731360 1972778796 1984807935 1999510216 2015899644 2020407840 2044953630 2061715545 2117128464 2134481976 2165245020 2181283872 2191976440 2199163248 2212572780 2249448993 2328525792 2352364960 2371646640 2381769522 2411174084 2413715760 2443514720 2453944356 2465973495 2474058654 2499387770 2519874555 2630371728 2646410580 2655087336 2668102470 2687866192 2726604840 2748954060 2794769961 2845975968 2886993360 2910657240 2950097040 2959168194 2999265324 3013967605 3023849466 3030611760 3067430445 3123632160 3175692696 3201722964 3271925808 3287964660 3298744872 3318859170 3359832740 3464392032 3528547440 3540116448 3557469960 3616761126 3635473120 3665272080 3680916534 3726359948 3749081655 3880876320 3945557592 3969615870 3999020432 4002153705 4031799288 4089907260 4123431090 4234256928 4268963952 4330490040 4383952880 4398326496 4425145560 4438752291 4498897986 4535774199 4657949935 4743293280 4763539044 4822348168 4827431520 4907888712 4931946990 4948117308 4998775540 5039749110 5260743456 5292821160 5310174672 5336204940 5375732384 5425141689 5453209680 5497908120 5589539922 5773986720 5821314480 5900194080 5918336388 5954423805 5998530648 6027935210 6047698932 6061223520 6134860890 6185146635 6351385392 6403445928 6543851616 6575929320 6597489744 6637718340 6719665480 6748346979 7057094880 7114939920 7233522252 7330544160 7361833068 7397920485 7452719896 7498163310 7559623665 7891115184 7939231740 7998040864 8004307410 8063598576 8179814520 8246862180 8384309883 8537927904 8660980080 8767905760 8850291120 8877504582 8997795972 9041902815 9071548398 9202291335 9315899870 9527078088 9644696336 9815777424 9863893980 9896234616 9997551080 10079498220 10247489857 10585642320 10620349344 10672409880 10850283378 10906419360 10995816240 11179079844 11247244965 11642628960 11836672776 11908847610 11997061296 12055870420 12095397864 12269721780 12370293270 12702770784 12806891856 13151858640 13194979488 13275436680 13439330960 13496693958 13607322597 13973849805 14229879840 14467044504 14723666136 14795840970 14905439792 14996326620 15119247330 15782230368 15878463480 16008614820 16127197152 16275425067 16359629040 16493724360 16768619766 17321960160 17700582240 17755009164 17995591944 18083805630 18143096796 18404582670 18631799740 19054156176 19289392672 19631554848 19727787960 19792469232 19995102160 20158996440 20245040937 20494979714 21171284640 21344819760 21700566756 21991632480 22193761455 22358159688 22494489930 22678870995 23673345552 23817695220 23994122592 24111740840 24190795728 24539443560 24740586540 25152929649 25613783712 26303717280 26550873360 26878661920 26993387916 27125708445 27214645194 27947699610 28934089008 29447332272 29591681940 29810879584 29992653240 30238494660 30742469571 31756926960 32017229640 32550850134 32719258080 32987448720 33537239532 33741734895 35510018328 35991183888 36167611260 36286193592 36809165340 37263599480 38108312352 39455575920 39584938464 39990204320 40317992880 40490081874 40989959428 41921549415 42689639520 43401133512 44387522910 44716319376 44988979860 45357741990 47346691104 47635390440 48223481680 48381591456 48826275201 49078887120 49481173080 50305859298 51237449285 53101746720 53986775832 54251416890 54429290388 55895399220 57868178016 58894664544 59183363880 59985306480 60476989320 61484939142 63513853920 64034459280 65101700268 65974897440 67074479064 67483469790 68036612985 71020036656 71982367776 72335222520 72572387184 73618330680 74527198960 75458788947 78911151840 80635985760 80980163748 81377125335 81979918856 83843098830 86802267024 88775045820 89432638752 89977959720 90715483980 92227408713 95270780880 96446963360 97652550402 98157774240 98962346160 100611718596 101225204685 102474898570 107973551664 108502833780 108858580776 111790798440 118366727760 119970612960 120953978640 122969878284 125764648245 128068918560 130203400536 134148958128 134966939580 136073225970 142040073312 144670445040 145144774368 147236661360 149054397920 150917577894 153712347855 161960327496 162754250670 163959837712 167686197660 173604534048 177550091640 179955919440 181430967960 184454817426 190541561760 195305100804 197924692320 201223437192 202450409370 204949797140 215947103328 217005667560 217717161552 223581596880 236733455520 241907957280 244131376005 245939756568 251529296490 260406801072 268297916256 269933879160 272146451940 276682226139 289340890080 294473322720 301835155788 307424695710 323920654992 325508501340 327919675424 335372395320 355100183280 359911838880 362861935920 368909634852 377293944735 390610201608 402446874384 404900818740 409899594280 434011335120 435434323104 447163193760 461137043565 488262752010 491879513136 503058592980 520813602144 539867758320 544292903880 553364452278 603670311576 614849391420 647841309984 651017002680 670744790640 710200366560 725723871840 737819269704 754587889470 781220403216 804893748768 809801637480 819799188560 830046678417 868022670240 922274087130 976525504020 983759026272 1006117185960 1079735516640 1088585807760 1106728904556 1207340623152 1229698782840 1302034005360 1341489581280 1383411130695 1475638539408 1509175778940 1562440806432 1619603274960 1639598377120 1660093356834 1844548174260 1953051008040 2012234371920 2177171615520 2213457809112 2414681246304 2459397565680 2604068010720 2766822261390 2951277078816 3018351557880 3239206549920 3320186713668 3689096348520 3906102016080 4024468743840 4150233392085 4426915618224 4918795131360 5533644522780 6036703115760 6640373427336 7378192697040 7812204032160 8300466784170 8853831236448 11067289045560 12073406231520 13280746854672 14756385394080 16600933568340 22134578091120 26561493709344 33201867136680 44269156182240 66403734273360 132807468546720
- Sum of all divisors σ(n): 563707639401984
- Sum of proper divisors (its aliquot sum) s(n): 430900170855264
- 132807468546720 is an abundant number, because the sum of its proper divisors (430900170855264) is greater than itself. Its abundance is 298092702308544
Bases of 132807468546720
- Binary: 111100011001001101001011111110001111010101000002
- Hexadecimal: 0x78C9A5FC7AA0
- Base-36: 1B2QWPSA00
Squares and roots of 132807468546720
- 132807468546720 squared (1328074685467202) is 17637823701788022108822758400
- 132807468546720 cubed (1328074685467203) is 2342434716507805263242318451215309672448000
-
The
square root of 132807468546720 is 11524212.2744558987 -
The
cube root of 132807468546720 is 51020.0444785537
Scales and comparisons
How big is 132807468546720?- 132,807,468,546,720 seconds is equal to 4,222,866 years, 36 weeks, 2 days, 13 hours, 12 minutes.
-
To count from 1 to 132,807,468,546,720 would take you about ten million, five hundred fifty-seven thousand, one hundred sixty-six 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 132807468546720 cubic inches would be around 4251.7 feet tall.
Recreational maths with 132807468546720
- 132807468546720 backwards is 027645864708231
- The number of decimal digits it has is: 15
- The sum of 132807468546720's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 132807468546720 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 132807468546720 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/132807468546720/
Chicago style:
Numbermatics. 2024. "Number 132807468546720 - Facts about the integer". https://numbermatics.com/n/132807468546720/
The information we have on file for 132807468546720 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 132807468546720, math, Factors of 132807468546720, curriculum, school, college, exams, university, Prime factorization of 132807468546720, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two trillion, eight hundred seven billion, four hundred sixty-eight million, five hundred forty-six thousand, seven hundred twenty.