12820952743200
12,820,952,743,200 is an even composite number composed of six prime numbers multiplied together.
12820952743200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 12820952743200:
25 × 36 × 52 × 72 × 712 × 89
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 71 × 71 × 89)See below for interesting mathematical facts about the number 12820952743200 from the Numbermatics database.
Names of 12820952743200
- Cardinal: 12820952743200 can be written as Twelve trillion, eight hundred twenty billion, nine hundred fifty-two million, seven hundred forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.28209527432 × 1013
Factors of 12820952743200
Divisors of 12820952743200
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 70 71 72 75 80 81 84 89 90 96 98 100 105 108 112 120 126 135 140 142 144 147 150 160 162 168 175 178 180 189 196 200 210 213 216 224 225 240 243 245 252 267 270 280 284 288 294 300 315 324 336 350 355 356 360 378 392 400 405 420 426 432 441 445 450 480 486 490 497 504 525 534 540 560 567 568 588 600 623 630 639 648 672 675 700 710 712 720 729 735 756 784 800 801 810 840 852 864 882 890 900 945 972 980 994 1008 1050 1065 1068 1080 1120 1134 1136 1176 1200 1215 1225 1246 1260 1278 1296 1323 1335 1350 1400 1420 1424 1440 1458 1470 1491 1512 1568 1575 1602 1620 1680 1701 1704 1764 1775 1780 1800 1869 1890 1917 1944 1960 1988 2016 2025 2100 2130 2136 2160 2205 2225 2268 2272 2352 2400 2403 2430 2450 2485 2492 2520 2556 2592 2646 2670 2700 2800 2835 2840 2848 2916 2940 2982 3024 3115 3150 3195 3204 3240 3360 3402 3408 3479 3528 3550 3560 3600 3645 3675 3738 3780 3834 3888 3920 3969 3976 4005 4050 4200 4260 4272 4320 4361 4410 4450 4473 4536 4704 4725 4806 4860 4900 4970 4984 5040 5041 5103 5112 5292 5325 5340 5400 5600 5607 5670 5680 5751 5832 5880 5964 6048 6075 6230 6300 6319 6390 6408 6480 6615 6675 6804 6816 6958 7056 7100 7120 7200 7209 7290 7350 7455 7476 7560 7668 7776 7840 7938 7952 8010 8100 8400 8505 8520 8544 8722 8820 8900 8946 9072 9345 9450 9585 9612 9720 9800 9940 9968 10080 10082 10206 10224 10437 10584 10650 10680 10800 11025 11214 11340 11360 11502 11664 11760 11907 11928 12015 12150 12425 12460 12600 12638 12780 12816 12960 13083 13230 13350 13419 13608 13916 14112 14175 14200 14240 14418 14580 14700 14910 14952 15120 15123 15336 15575 15876 15904 15975 16020 16200 16800 16821 17010 17040 17253 17395 17444 17640 17800 17892 18144 18225 18690 18900 18957 19170 19224 19440 19600 19845 19880 19936 20025 20164 20412 20448 20874 21168 21300 21360 21600 21627 21805 22050 22365 22428 22680 23004 23328 23520 23814 23856 24030 24300 24850 24920 25200 25205 25276 25515 25560 25632 26166 26460 26700 26838 27216 27832 28035 28350 28400 28755 28836 29160 29400 29820 29904 30240 30246 30672 31150 31311 31595 31752 31950 32040 32400 33075 33642 34020 34080 34506 34790 34888 35280 35287 35600 35721 35784 36045 36450 37275 37380 37800 37914 38340 38448 38880 39200 39249 39690 39760 40050 40257 40328 40824 41748 42336 42525 42600 42720 43254 43610 44100 44233 44730 44856 45360 45369 46008 46725 47628 47712 47925 48060 48600 49700 49840 50400 50410 50463 50552 51030 51120 51759 52185 52332 52920 53400 53676 54432 55664 56070 56700 56800 56871 57510 57672 58320 58800 59535 59640 59808 60075 60492 61344 62300 62622 63190 63504 63900 64080 64800 64881 65415 66150 67095 67284 68040 69012 69580 69776 70560 70574 71200 71442 71568 72090 72900 74550 74760 75600 75615 75828 76680 76896 78498 79380 79520 80100 80514 80656 81648 83496 84105 85050 85200 86265 86508 86975 87220 88200 88466 89460 89712 90720 90738 92016 93450 93933 94785 95256 95850 96120 97200 99225 99400 99680 100820 100926 101104 102060 102240 103518 104370 104664 105840 105861 106800 107352 108135 109025 111328 111825 112140 113400 113742 115020 115344 116640 117600 117747 119070 119280 120150 120771 120984 124600 125244 126025 126380 127008 127575 127800 128160 129762 130830 132300 132699 134190 134568 136080 136107 138024 139160 139552 140175 141148 142884 143136 143775 144180 145800 149100 149520 151200 151230 151389 151656 153360 156555 156996 157975 158760 160200 161028 161312 163296 166992 168210 170100 170400 170613 172530 173016 173950 174440 176400 176435 176932 178605 178920 179424 180225 181476 184032 186900 187866 189570 190512 191700 192240 194400 196245 198450 198800 201285 201640 201852 202208 204120 207036 208740 209328 211680 211722 213600 214704 216270 218050 221165 223650 224280 226800 226845 227484 230040 230688 235494 238140 238560 240300 241542 241968 247009 249200 250488 252050 252315 252760 255150 255600 258795 259524 260925 261660 264600 265398 268380 269136 272160 272214 276048 278320 280350 281799 282296 284355 285768 287550 288360 291600 297675 298200 299040 302460 302778 303312 306720 309631 313110 313992 315950 317520 317583 320400 322056 324405 327075 333984 335475 336420 340200 341226 345060 346032 347900 348880 352800 352870 353241 353864 357210 357840 360450 362313 362952 373800 375732 378075 379140 381024 383400 384480 392490 396900 397600 398097 402570 403280 403704 408240 408321 414072 417480 418656 420525 423444 429408 431325 432540 436100 442330 447300 448560 448649 453600 453690 454167 454968 460080 469665 470988 473925 476280 480600 483084 483936 494018 498400 500976 504100 504630 505520 510300 511200 511839 517590 519048 521850 523320 529200 529305 530796 536760 538272 540675 544428 552096 556640 560700 563598 564592 568710 571536 575100 576720 583200 588735 595350 596400 603855 604920 605556 606624 619262 626220 627984 631900 635040 635166 640800 644112 648810 654150 663495 670950 672840 680400 680535 682452 690120 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68245200 68597928 69666975 70648200 71138592 71456175 71657460 71783840 72462600 72666720 72681138 73497780 73704816 74102700 74311440 75146400 75240333 75373032 76219920 76775850 78513575 79479225 79619400 80030916 80756820 81158112 81664200 81894240 83600370 84539700 84688800 84777840 84794661 85747410 85988952 87935204 88923240 89173728 89571825 89729800 90833400 91463904 91872225 92131020 92889300 94197600 94216290 95274900 95543280 96616800 96908184 97997040 98803600 100038645 100320444 100497376 100946025 101447640 101733408 102367800 102896892 105972300 106159200 106707888 107486190 107675760 108885600 109021707 109919005 111154050 111467160 112719600 113059548 114329880 114651936 115163775 117596448 118564320 119429100 120046374 121111200 121135230 122496300 122841360 123852400 125400555 125621720 126809550 127033200 127166760 128621115 128983428 129210912 131902806 133384860 133760592 134594700 135263520 136490400 137195856 139333950 141296400 141324435 142912350 143314920 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320123664 322458570 323027280 326656800 327065121 329757015 333462150 334401480 338158800 339178644 342989640 343955808 351740816 355692960 358287300 358919200 360139122 363333600 363405690 367488900 368524080 371557200 376201665 376865160 381099600 387632736 395708418 400154580 401281776 403784100 405790560 409471200 411587568 418001850 423889200 423973305 428737050 429944760 436086828 439676020 444616200 445868640 451441998 452238192 457319520 460655100 471081450 477716400 480185496 484540920 489985200 500193225 501602220 502486880 507238200 508667040 508767966 514484460 515933712 527611224 533539440 537430950 538378800 545108535 549595025 557335800 565297740 571649400 573259680 581449104 587982240 592821600 593562627 600231870 601922664 605676150 614206800 627002775 628108600 635833800 640247328 643105575 644917140 646054560 654130242 659514030 666924300 668802960 676317600 678357288 685979280 703481632 706622175 716574600 720278244 726811380 734977800 737048160 743114400 752403330 753730320 762199200 763151949 791416836 800309160 802563552 806146425 807568200 823175136 836003700 847778400 847946610 857474100 859889520 872173656 879352040 889232400 900347805 902883996 904476384 908514225 921310200 942162900 955432800 960370992 969081840 979970400 989271045 1000386450 1003204440 1014476400 1017535932 1028968920 1031867424 1055222448 1067078880 1074861900 1076757600 1090217070 1099190050 1114671600 1128604995 1130595480 1143298800 1162898208 1187125254 1200463740 1203845328 1211352300 1228413600 1254005550 1256217200 1271667600 1271919915 1286211150 1289834280 1308260484 1319028060 1333848600 1337605920 1356714576 1371958560 1413244350 1433149200 1440556488 1453622760 1469955600 1500579675 1504806660 1507460640 1526303898 1582833672 1600618320 1612292850 1615136400 1635325605 1648785075 1672007400 1695893220 1714948200 1719779040 1744347312 1758704080 1778464800 1780687881 1800695610 1805767992 1817028450 1842620400 1881008325 1884325800 1920741984 1938163680 1978542090 2000772900 2006408880 2028952800 2035071864 2057937840 2110444896 2119866525 2149723800 2180434140 2198380100 2229343200 2257209990 2261190960 2286597600 2289455847 2374250508 2400927480 2407690656 2422704600 2508011100 2512434400 2543335200 2543839830 2572422300 2579668560 2616520968 2638056120 2667697200 2713429152 2725542675 2826488700 2866298400 2881112976 2907245520 2939911200 2967813135 3001159350 3009613320 3052607796 3165667344 3201236640 3224585700 3230272800 3270651210 3297570150 3344014800 3391786440 3429896400 3488694624 3517408160 3561375762 3601391220 3611535984 3634056900 3685240800 3762016650 3768651600 3815759745 3957084180 4001545800 4012817760 4070143728 4115875680 4239733050 4299447600 4360868280 4396760200 4501739025 4514419980 4522381920 4578911694 4748501016 4801854960 4845409200 4946355225 5016022200 5087679660 5144844600 5159337120 5233041936 5276112240 5335394400 5342063643 5451085350 5643024975 5652977400 5762225952 5814491040 5935626270 6002318700 6019226640 6105215592 6331334688 6359599575 6449171400 6541302420 6595140300 6688029600 6783572880 6859792800 7122751524 7202782440 7223071968 7268113800 7524033300 7537303200 7631519490 7914168360 8003091600 8140287456 8176628025 8479466100 8598895200 8721736560 8793520400 8903439405 9003478050 9028839960 9157823388 9497002032 9603709920 9690818400 9892710450 10032044400 10175359320 10289689200 10466083872 10552224480 10684127286 10902170700 11286049950 11305954800 11447279235 11871252540 12004637400 12038453280 12210431184 12719199150 12898342800 13082604840 13190280600 13567145760 14245503048 14405564880 14536227600 14839065675 15048066600 15263038980 15828336720 16006183200 16026190929 16353256050 16958932200 17443473120 17587040800 17806878810 18006956100 18057679920 18315646776 18994004064 19078798725 19785420900 20064088800 20350718640 20579378400 21368254572 21804341400 22572099900 22611909600 22894558470 23742505080 24009274800 24420862368 25438398300 25796685600 26165209680 26380561200 26710318215 28491006096 28811129760 29072455200 29678131350 30096133200 30526077960 31656673440 32052381858 32706512100 33917864400 35613757620 36013912200 36115359840 36631293552 38157597450 39570841800 40701437280 42736509144 43608682800 44517197025 45144199800 45789116940 47485010160 48018549600 50876796600 52330419360 52761122400 53420636430 56982012192 57236396175 59356262700 60192266400 61052155920 64104763716 65413024200 67835728800 71227515240 72027824400 73262587104 76315194900 79141683600 80130954645 85473018288 87217365600 89034394050 90288399600 91578233880 94970020320 101753593200 106841272860 114472792350 118712525400 122104311840 128209527432 130826048400 133551591075 142455030480 144055648800 152630389800 158283367200 160261909290 170946036576 178068788100 180576799200 183156467760 203507186400 213682545720 228945584700 237425050800 256419054864 261652096800 267103182150 284910060960 305260779600 320523818580 356137576200 366312935520 400654773225 427365091440 457891169400 474850101600 512838109728 534206364300 610521559200 641047637160 712275152400 801309546450 854730182880 915782338800 1068412728600 1282095274320 1424550304800 1602619092900 1831564677600 2136825457200 2564190548640 3205238185800 4273650914400 6410476371600 12820952743200
- Sum of all divisors σ(n): 55990656935010
- Sum of proper divisors (its aliquot sum) s(n): 43169704191810
- 12820952743200 is an abundant number, because the sum of its proper divisors (43169704191810) is greater than itself. Its abundance is 30348751448610
Bases of 12820952743200
- Binary: 101110101001000111000101010101111101001000002
- Hexadecimal: 0xBA91C557D20
- Base-36: 4JLV48I00
Squares and roots of 12820952743200
- 12820952743200 squared (128209527432002) is 164376829243367605146240000
- 12820952743200 cubed (128209527432003) is 2107467559806271877605700165165568000000
-
The
square root of 12820952743200 is 3580635.8015302253 -
The
cube root of 12820952743200 is 23404.8987377023
Scales and comparisons
How big is 12820952743200?- 12,820,952,743,200 seconds is equal to 407,666 years, 33 weeks, 1 day, 18 hours.
-
To count from 1 to 12,820,952,743,200 would take you about one million, nineteen 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 12820952743200 cubic inches would be around 1950.4 feet tall.
Recreational maths with 12820952743200
- 12820952743200 backwards is 00234725902821
- 12820952743200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12820952743200's digits is 45
- More coming soon!
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"Number 12820952743200 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 12820952743200 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/12820952743200/
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The information we have on file for 12820952743200 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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