12972323020800
12,972,323,020,800 is an even composite number composed of seven prime numbers multiplied together.
12972323020800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 12972323020800:
213 × 3 × 52 × 11 × 13 × 192 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 19 × 19 × 409)See below for interesting mathematical facts about the number 12972323020800 from the Numbermatics database.
Names of 12972323020800
- Cardinal: 12972323020800 can be written as Twelve trillion, nine hundred seventy-two billion, three hundred twenty-three million, twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.29723230208 × 1013
Factors of 12972323020800
Divisors of 12972323020800
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 19 20 22 24 25 26 30 32 33 38 39 40 44 48 50 52 55 57 60 64 65 66 75 76 78 80 88 95 96 100 104 110 114 120 128 130 132 143 150 152 156 160 165 176 190 192 195 200 208 209 220 228 240 247 256 260 264 275 285 286 300 304 312 320 325 330 352 361 380 384 390 400 409 416 418 429 440 456 475 480 494 512 520 528 550 570 572 600 608 624 627 640 650 660 704 715 722 741 760 768 780 800 818 825 832 836 858 880 912 950 960 975 988 1024 1040 1045 1056 1083 1100 1140 1144 1200 1216 1227 1235 1248 1254 1280 1300 1320 1408 1425 1430 1444 1482 1520 1536 1560 1600 1636 1650 1664 1672 1716 1760 1805 1824 1900 1920 1950 1976 2045 2048 2080 2090 2112 2145 2166 2200 2280 2288 2400 2432 2454 2470 2496 2508 2560 2600 2640 2717 2816 2850 2860 2888 2964 3040 3072 3120 3135 3200 3272 3300 3328 3344 3432 3520 3575 3610 3648 3705 3800 3840 3900 3952 3971 4090 4096 4160 4180 4224 4290 4332 4400 4499 4560 4576 4693 4800 4864 4908 4940 4992 5016 5120 5200 5225 5280 5317 5415 5434 5632 5700 5720 5776 5928 6080 6135 6144 6175 6240 6270 6400 6544 6600 6656 6688 6864 7040 7150 7220 7296 7410 7600 7680 7771 7800 7904 7942 8151 8180 8192 8320 8360 8448 8580 8664 8800 8998 9025 9120 9152 9386 9600 9728 9816 9880 9984 10032 10225 10240 10400 10450 10560 10634 10725 10830 10868 11264 11400 11440 11552 11856 11913 12160 12270 12288 12350 12480 12540 12800 13088 13200 13312 13376 13497 13585 13728 14079 14080 14300 14440 14592 14820 15200 15360 15542 15600 15675 15808 15884 15951 16302 16360 16640 16720 16896 17160 17328 17600 17996 18050 18240 18304 18525 18772 19200 19456 19632 19760 19855 19968 20064 20450 20480 20800 20900 21120 21268 21450 21660 21736 22495 22528 22800 22880 23104 23313 23465 23712 23826 24320 24540 24576 24700 24960 25080 25600 26176 26400 26585 26624 26752 26994 27075 27170 27456 28158 28160 28600 28880 29184 29640 30400 30675 30720 31084 31200 31350 31616 31768 31902 32604 32720 33280 33440 33792 34320 34656 35200 35992 36100 36480 36608 37050 37544 38400 38855 38912 39264 39520 39710 39936 40128 40755 40900 40960 41600 41800 42240 42536 42900 43320 43472 44990 45056 45600 45760 46208 46626 46930 47424 47652 48640 49080 49400 49920 50160 51200 51623 52352 52800 53170 53248 53504 53988 54150 54340 54912 56316 56320 57200 57760 58368 58487 59280 59565 60800 61350 61440 62168 62400 62700 63232 63536 63804 65208 65440 66560 66880 67485 67584 67925 68640 69312 70395 70400 71984 72200 72960 73216 74100 75088 76800 77710 77824 78528 79040 79420 79755 79872 80256 81510 81800 83200 83600 84480 85072 85481 85800 86640 86944 89980 90112 91200 91520 92416 93252 93860 94848 95304 97280 98160 98800 99275 99840 100320 101023 102400 103246 104704 105600 106340 106496 107008 107976 108300 108680 109824 112475 112632 112640 114400 115520 116565 116736 116974 117325 118560 119130 121600 122700 122880 124336 124800 125400 126464 127072 127608 130416 130880 132925 133120 133760 134970 135168 135850 137280 138624 140790 140800 143968 144400 145920 146432 147649 148200 150176 153600 154869 155420 155648 157056 158080 158840 159510 159744 160512 163020 163600 166400 167200 168960 170144 170962 171600 173280 173888 175461 179960 182400 183040 184832 186504 187720 189696 190608 194275 194560 196320 197600 198550 199680 200640 202046 203775 204800 206492 209408 211200 212680 214016 215952 216600 217360 219648 224950 225264 225280 228800 231040 233130 233472 233948 234650 237120 238260 243200 245400 248672 249600 250800 252928 254144 255216 256443 258115 260832 261760 265850 266240 267520 269940 270336 271700 274560 277248 281580 281600 287936 288800 291840 292435 292864 295298 296400 297825 300352 303069 307200 309738 310840 314112 316160 317680 319020 319488 321024 326040 327200 332800 334400 337425 337920 340288 341924 343200 346560 347776 350922 351975 359920 364800 366080 369664 373008 375440 379392 381216 388550 389120 392640 395200 397100 398775 399360 401280 404092 407550 412984 418816 422400 425360 427405 428032 431904 433200 434720 439296 442947 449900 450528 450560 457600 462080 466260 466944 467896 469300 474240 476520 486400 490800 497344 499200 501600 505115 505856 508288 510432 512886 516230 521664 523520 531700 532480 535040 539880 543400 549120 554496 563160 563200 575872 577600 582825 583680 584870 585728 590596 592800 595650 600704 606138 614400 619476 621680 628224 632320 635360 638040 642048 652080 654400 665600 668800 674850 675840 680576 683848 686400 693120 695552 701844 703950 719840 729600 732160 738245 739328 746016 750880 758784 762432 774345 777100 778240 785280 790400 794200 797550 798720 802560 808184 815100 825968 837632 844800 850720 854810 856064 863808 866400 869440 877305 878592 885894 899800 901056 915200 924160 932520 935792 938600 948480 953040 972800 981600 994688 998400 1003200 1010230 1011712 1016576 1020864 1025772 1032460 1043328 1047040 1063400 1070080 1079760 1086800 1098240 1108992 1111253 1126320 1126400 1151744 1155200 1165650 1167360 1169740 1171456 1181192 1185600 1191300 1201408 1212276 1238952 1243360 1256448 1264640 1270720 1276080 1282215 1284096 1290575 1304160 1308800 1331200 1337600 1349700 1351680 1361152 1367696 1372800 1386240 1391104 1403688 1407900 1439680 1459200 1462175 1464320 1476490 1478656 1492032 1501760 1515345 1517568 1524864 1548690 1554200 1570560 1580800 1588400 1595100 1597440 1605120 1616368 1624139 1630200 1651936 1675264 1689600 1701440 1709620 1712128 1727616 1732800 1738880 1754610 1757184 1771788 1799600 1802112 1830400 1848320 1865040 1871584 1877200 1896960 1906080 1919437 1945600 1963200 1989376 1996800 2006400 2020460 2023424 2033152 2041728 2051544 2064920 2086656 2094080 2126800 2137025 2140160 2159520 2173600 2196480 2214735 2217984 2222506 2252640 2252800 2303488 2310400 2331300 2334720 2339480 2362384 2371200 2382600 2402816 2424552 2477904 2486720 2512896 2525575 2529280 2541440 2552160 2564430 2568192 2581150 2608320 2617600 2662400 2675200 2699400 2722304 2735392 2745600 2772480 2782208 2807376 2815800 2879360 2918400 2924350 2928640 2952980 2957312 2984064 3003520 3030690 3035136 3049728 3097380 3108400 3141120 3161600 3176800 3190200 3210240 3232736 3248278 3260400 3303872 3333759 3350528 3379200 3402880 3419240 3455232 3465600 3477760 3509220 3514368 3543576 3599200 3604224 3660800 3691225 3696640 3730080 3743168 3754400 3793920 3812160 3838874 3871725 3891200 3926400 3978752 3993600 4012800 4040920 4066304 4083456 4103088 4129840 4173312 4188160 4253600 4274050 4280320 4319040 4347200 4386525 4392960 4429470 4435968 4445012 4505280 4606976 4620800 4662600 4678960 4724768 4742400 4765200 4805632 4849104 4872417 4955808 4973440 5025792 5051150 5058560 5082880 5104320 5128860 5136384 5162300 5216640 5235200 5350400 5398800 5444608 5470784 5491200 5544960 5556265 5564416 5614752 5631600 5758311 5758720 5836800 5848700 5857280 5905960 5968128 6007040 6061380 6070272 6099456 6194760 6216800 6282240 6323200 6353600 6380400 6411075 6420480 6465472 6496556 6520800 6607744 6667518 6758400 6805760 6838480 6910464 6931200 6955520 7018440 7087152 7198400 7208448 7321600 7382450 7393280 7460160 7486336 7508800 7576725 7587840 7624320 7677748 7743450 7852800 7957504 7987200 8025600 8081840 8120695 8132608 8166912 8206176 8259680 8346624 8376320 8507200 8548100 8560640 8638080 8694400 8773050 8785920 8858940 8871936 8890024 9010560 9213952 9241600 9325200 9357920 9449536 9484800 9530400 9597185 9611264 9698208 9744834 9911616 9946880 10051584 10102300 10117120 10165760 10208640 10257720 10324600 10433280 10470400 10700800 10797600 10889216 10941568 10982400 11073675 11089920 11112530 11128832 11229504 11263200 11516622 11517440 11673600 11697400 11811920 11936256 12014080 12122760 12198912 12389520 12433600 12564480 12646400 12707200 12760800 12822150 12840960 12930944 12993112 13041600 13215488 13335036 13611520 13676960 13820928 13862400 13911040 14036880 14174304 14396800 14416896 14643200 14764900 14786560 14920320 14972672 15017600 15153450 15175680 15248640 15355496 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34777600 35092200 35435760 35560096 36042240 36855808 36966400 37300800 37431680 37798144 37939200 38121600 38388740 38445056 38792832 38979336 39646464 39787520 40409200 40603475 40663040 40834560 41030880 41298400 41733120 41881600 42227614 42803200 43190400 43556864 43766272 43929600 44294700 44359680 44450120 44918016 45052800 46066488 46069760 46789600 47247680 47745024 47985925 48056320 48491040 48724170 48795648 49558080 49734400 50257920 50585600 50828800 51043200 51288600 51723776 51972448 52166400 52861952 53340144 54446080 54707840 55283712 55449600 55562650 55644160 56147520 56697216 57583110 57587200 57667584 59059600 59681280 59890688 60070400 60613800 60994560 61421984 61947600 62822400 63341421 63660032 64204800 64654720 64965560 65335296 65649408 66077440 66675180 66772992 68057600 68384800 69104640 69555200 70184400 70871520 71120192 72084480 73932800 74601600 74863360 75596288 75878400 76243200 76777480 77585664 77958672 79292928 79575040 80818400 81206950 81326080 81669120 82061760 82596800 83343975 83466240 83763200 84455228 86380800 87532544 87859200 88589400 88900240 89836032 90105600 92132976 92139520 93579200 94495360 95490048 95971850 96112640 96982080 97448340 97591296 99116160 99468800 101657600 102086400 102577200 103447552 103944896 104332800 105569035 105723904 106680288 108892160 109415680 110567424 110899200 111125300 111288320 112295040 113394432 115166220 115174400 115335168 118119200 119362560 119781376 120140800 121227600 121810425 121989120 122843968 123895200 125644800 126682842 128409600 129309440 129931120 130670592 131298816 132154880 133350360 136115200 136769600 138209280 139110400 140368800 141743040 142240384 143957775 144168960 149203200 149726720 151192576 151756800 152486400 153554960 155171328 155917344 158585856 159150080 161636800 162413900 162652160 163338240 164123520 165193600 166687950 166932480 168910456 172761600 175065088 177178800 177800480 179672064 180211200 184265952 184279040 187158400 188990720 190980096 191943700 192225280 193964160 194896680 198232320 198937600 203315200 204172800 205154400 206895104 207889792 208665600 211138070 211447808 213360576 217784320 218831360 221798400 222250600 224590080 226788864 230332440 230348800 236238400 238725120 239562752 240281600 242455200 243620850 243978240 245687936 247790400 251289600 253365684 258618880 259862240 262597632 264309760 266700720 272230400 273539200 276418560 278220800 280737600 283486080 284480768 287915550 288337920 298406400 299453440 302385152 304972800 307109920 310342656 311834688 316707105 317171712 318300160 323273600 324827800 326676480 328247040 330387200 333375900 333864960 337820912 345523200 350130176 354357600 355600960 359344128 360422400 368531904 374316800 377981440 383887400 387928320 389793360 396464640 397875200 406630400 408345600 410308800 413790208 415779584 417331200 422276140 422895616 426721152 437662720 444501200 449180160 453577728 460664880 460697600 472476800 477450240 479125504 480563200 484910400 487241700 487956480 491375872 495580800 506731368 517237760 519724480 525195264 527845175 528619520 533401440 544460800 547078400 552837120 556441600 561475200 566972160 568961536 575831100 576675840 596812800 598906880 604770304 609945600 614219840 620685312 623669376 633414210 634343424 646547200 649655600 653352960 656494080 660774400 666751800 675641824 691046400 700260352 708715200 711201920 718688256 720844800 737063808 748633600 755962880 767774800 775856640 779586720 792929280 795750400 813260800 816691200 820617600 827580416 831559168 834662400 844552280 853442304 875325440 889002400 898360320 907155456 921329760 921395200 944953600 954900480 961126400 969820800 974483400 982751744 991161600 1013462736 1034475520 1039448960 1050390528 1055690350 1057239040 1066802880 1088921600 1094156800 1122950400 1133944320 1137923072 1151662200 1193625600 1197813760 1209540608 1219891200 1228439680 1241370624 1247338752 1266828420 1268686848 1293094400 1299311200 1312988160 1321548800 1333503600 1351283648 1382092800 1417430400 1422403840 1437376512 1441689600 1474127616 1497267200 1511925760 1535549600 1551713280 1559173440 1583535525 1585858560 1591500800 1633382400 1641235200 1663118336 1669324800 1689104560 1706884608 1750650880 1778004800 1796720640 1814310912 1842659520 1889907200 1939641600 1948966800 1965503488 1982323200 2026925472 2068951040 2078897920 2100781056 2111380700 2114478080 2133605760 2188313600 2245900800 2267888640 2275846144 2303324400 2387251200 2395627520 2439782400 2456879360 2482741248 2494677504 2533656840 2586188800 2598622400 2625976320 2643097600 2667007200 2702567296 2764185600 2834860800 2844807680 2883379200 2948255232 2994534400 3023851520 3071099200 3103426560 3118346880 3167071050 3171717120 3266764800 3282470400 3326236672 3378209120 3413769216 3501301760 3556009600 3593441280 3628621824 3685319040 3779814400 3879283200 3897933600 3931006976 3964646400 4053850944 4137902080 4157795840 4222761400 4267211520 4376627200 4491801600 4535777280 4551692288 4606648800 4774502400 4913758720 4989355008 5067313680 5172377600 5197244800 5251952640 5286195200 5334014400 5405134592 5669721600 5689615360 5896510464 5989068800 6047703040 6142198400 6206853120 6236693760 6334142100 6343434240 6564940800 6652473344 6756418240 6827538432 7112019200 7186882560 7370638080 7559628800 7758566400 7795867200 7862013952 7929292800 8107701888 8315591680 8445522800 8534423040 8753254400 8983603200 9071554560 9103384576 9213297600 9827517440 9978710016 10134627360 10344755200 10394489600 10503905280 10572390400 10668028800 10810269184 11339443200 11379230720 11793020928 11978137600 12284396800 12413706240 12473387520 12668284200 13129881600 13304946688 13512836480 13655076864 14224038400 14741276160 15119257600 15517132800 15591734400 15724027904 15858585600 16215403776 16631183360 16891045600 17068846080 17506508800 17967206400 18143109120 18426595200 19655034880 19957420032 20269254720 20689510400 20788979200 21336057600 21620538368 22678886400 22758461440 23586041856 24568793600 24946775040 25336568400 26259763200 27025672960 27310153728 28448076800 29482552320 30238515200 31034265600 31183468800 31717171200 32430807552 33262366720 33782091200 34137692160 35934412800 36853190400 39310069760 39914840064 40538509440 41577958400 42672115200 43241076736 45357772800 45516922880 47172083712 49137587200 49893550080 50673136800 52519526400 54051345920 56896153600 58965104640 62068531200 62366937600 64861615104 66524733440 67564182400 68275384320 73706380800 78620139520 81077018880 83155916800 85344230400 86482153472 90715545600 98275174400 99787100160 101346273600 108102691840 113792307200 117930209280 124733875200 129723230208 135128364800 136550768640 147412761600 162154037760 166311833600 170688460800 172964306944 196550348800 199574200320 202692547200 216205383680 227584614400 235860418560 249467750400 259446460416 270256729600 294825523200 324308075520 332623667200 341376921600 393100697600 405385094400 432410767360 498935500800 518892920832 540513459200 589651046400 648616151040 682753843200 810770188800 864821534720 997871001600 1081026918400 1179302092800 1297232302080 1621540377600 2162053836800 2594464604160 3243080755200 4324107673600 6486161510400 12972323020800
- Sum of all divisors σ(n): 53313013373760
- Sum of proper divisors (its aliquot sum) s(n): 40340690352960
- 12972323020800 is an abundant number, because the sum of its proper divisors (40340690352960) is greater than itself. Its abundance is 27368367332160
Bases of 12972323020800
- Binary: 101111001100010110101011010010100000000000002
- Hexadecimal: 0xBCC5AB4A000
- Base-36: 4LJEI6VPC
Squares and roots of 12972323020800
- 12972323020800 squared (129723230208002) is 168281164555977637232640000
- 12972323020800 cubed (129723230208003) is 2182997624936541713722967077158912000000
-
The
square root of 12972323020800 is 3601711.1240075875 -
The
cube root of 12972323020800 is 23496.6483952879
Scales and comparisons
How big is 12972323020800?- 12,972,323,020,800 seconds is equal to 412,479 years, 38 weeks, 5 days, 13 hours, 20 minutes.
-
To count from 1 to 12,972,323,020,800 would take you about one million, thirty-one thousand, one hundred ninety-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 12972323020800 cubic inches would be around 1958.1 feet tall.
Recreational maths with 12972323020800
- 12972323020800 backwards is 00802032327921
- 12972323020800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12972323020800's digits is 39
- More coming soon!
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"Number 12972323020800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 12972323020800 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/12972323020800/
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The information we have on file for 12972323020800 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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