12728085832800
12,728,085,832,800 is an even composite number composed of seven prime numbers multiplied together.
12728085832800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 12728085832800:
25 × 33 × 52 × 13 × 61 × 157 × 4733
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 61 × 157 × 4733)See below for interesting mathematical facts about the number 12728085832800 from the Numbermatics database.
Names of 12728085832800
- Cardinal: 12728085832800 can be written as Twelve trillion, seven hundred twenty-eight billion, eighty-five million, eight hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.27280858328 × 1013
Factors of 12728085832800
Divisors of 12728085832800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 61 65 72 75 78 80 90 96 100 104 108 117 120 122 130 135 144 150 156 157 160 180 183 195 200 208 216 225 234 240 244 260 270 288 300 305 312 314 325 351 360 366 390 400 416 432 450 468 471 480 488 520 540 549 585 600 610 624 628 650 675 702 720 732 780 785 793 800 864 900 915 936 942 975 976 1040 1080 1098 1170 1200 1220 1248 1256 1300 1350 1404 1413 1440 1464 1525 1560 1570 1586 1647 1755 1800 1830 1872 1884 1950 1952 2041 2080 2160 2196 2340 2355 2379 2400 2440 2512 2600 2700 2745 2808 2826 2925 2928 3050 3120 3140 3172 3294 3510 3600 3660 3744 3768 3900 3925 3965 4082 4239 4320 4392 4575 4680 4710 4733 4758 4880 5024 5200 5400 5490 5616 5652 5850 5856 6100 6123 6240 6280 6344 6588 7020 7065 7137 7200 7320 7536 7800 7850 7930 8164 8235 8478 8775 8784 9150 9360 9420 9466 9516 9577 9760 10205 10400 10800 10980 11232 11304 11700 11775 11895 12200 12246 12560 12688 13176 13725 14040 14130 14199 14274 14640 15072 15600 15700 15860 16328 16470 16956 17550 17568 18300 18369 18720 18840 18932 19032 19154 19825 20410 21195 21411 21600 21960 22608 23400 23550 23665 23790 24400 24492 25120 25376 26352 27450 28080 28260 28398 28548 28731 29280 30615 31200 31400 31720 32656 32940 33912 35100 35325 35685 36600 36738 37680 37864 38064 38308 39650 40820 41175 42390 42597 42822 43920 45216 46800 47100 47330 47580 47885 48800 48984 51025 52704 54900 55107 56160 56520 56796 57096 57462 59475 61230 61529 62800 63440 65312 65880 67824 70200 70650 70995 71370 73200 73476 75360 75728 76128 76616 79300 81640 82350 84780 85194 85644 86193 87840 91845 93600 94200 94660 95160 95770 97968 102050 105975 107055 109800 110214 113040 113592 114192 114924 118325 118950 122460 123058 124501 125600 126880 127791 131760 135648 140400 141300 141990 142740 143655 146400 146952 151456 153075 153232 158600 163280 164700 169560 170388 171288 172386 178425 183690 184587 188400 189320 190320 191540 195936 204100 211950 212985 214110 219600 220428 226080 227184 228384 229848 236650 237900 239425 244920 246116 249002 255582 258579 263520 275535 280800 282600 283980 285480 287310 288713 293904 306150 306464 307645 317200 326560 329400 339120 340776 342576 344772 354975 356850 367380 369174 373503 376800 378640 380640 383080 408200 423900 425970 428220 430965 439200 440856 454368 459225 459696 473300 475800 478850 489840 492232 498004 511164 517158 535275 551070 553761 565200 567960 570960 574620 577426 587808 612300 615290 622505 634400 638955 658800 678240 681552 685152 689544 709950 713700 718275 734760 738348 743081 747006 757280 766160 816400 847800 851940 856440 861930 866139 881712 918450 919392 922935 946600 951600 957700 979680 984464 996008 1022328 1034316 1064925 1070550 1102140 1107522 1120509 1130400 1135920 1141920 1149240 1154852 1224600 1230580 1245010 1277910 1292895 1317600 1363104 1377675 1379088 1419900 1427400 1436550 1443565 1469520 1476696 1486162 1494012 1532320 1538225 1632800 1661283 1695600 1703880 1712880 1723860 1732278 1763424 1836900 1845870 1867515 1893200 1903200 1915400 1968928 1992016 2044656 2068632 2129850 2141100 2154825 2204280 2215044 2229243 2241018 2271840 2298480 2309704 2449200 2461160 2490020 2555820 2585790 2598417 2755350 2758176 2768805 2839800 2854800 2873100 2887130 2939040 2953392 2972324 2988024 3076450 3112525 3194775 3322566 3361527 3391200 3407760 3425760 3447720 3464556 3673800 3691740 3715405 3735030 3753269 3786400 3830800 3984032 4089312 4137264 4259700 4282200 4309650 4330695 4408560 4430088 4458486 4482036 4596960 4614675 4619408 4898400 4922320 4980040 5111640 5171580 5196834 5510700 5537610 5602545 5679600 5709600 5746200 5774260 5906784 5944648 5976048 6152900 6225050 6389550 6464475 6645132 6687729 6723054 6815520 6895440 6929112 7217825 7347600 7383480 7430810 7470060 7506538 7661600 7795251 8274528 8306415 8519400 8564400 8619300 8661390 8817120 8860176 8916972 8964072 9229350 9238816 9337575 9660053 9844640 9960080 10223280 10343160 10393668 11021400 11075220 11146215 11205090 11259807 11359200 11492400 11548520 11889296 11952096 12305800 12450100 12779100 12928950 12992085 13290264 13375458 13446108 13790880 13844025 13858224 14435650 14695200 14766960 14861620 14940120 15013076 15590502 16612830 16807635 17038800 17128800 17238600 17322780 17720352 17833944 17928144 18458700 18577025 18675150 18766345 19320106 19920160 20063187 20446560 20686320 20787336 21653475 22042800 22150440 22292430 22410180 22519614 22984800 23097040 23778592 24611600 24900200 25558200 25857900 25984170 26580528 26750916 26892216 27688050 27716448 28012725 28871300 28980159 29533920 29723240 29880240 30026152 31181004 33225660 33438645 33615270 33779421 34077600 34477200 34645560 35667888 35856288 36917400 37154050 37350300 37532690 38640212 38976255 40126374 41372640 41532075 41574672 43306950 44085600 44300880 44584860 44820360 45039228 45327941 46194080 48300265 49223200 49800400 51116400 51715800 51968340 53161056 53501832 53784432 55376100 55731075 56025450 56299035 57742600 57960318 59446480 59760480 60052304 62362008 64960425 66451320 66877290 67230540 67558842 68954400 69291120 71335776 73834800 74308100 74700600 75065380 77280424 77952510 80252748 83064150 83149344 84038175 86613900 86940477 88601760 89169720 89640720 90078456 90655882 93831725 96600530 99600800 100315935 101338263 102232800 103431600 103936680 107003664 107568864 110752200 111462150 112050900 112598070 115485200 115920636 118892960 120104608 124724016 129920850 132902640 133754580 134461080 135117684 135983823 138582240 144900795 147669600 148616200 149401200 150130760 154560848 155905020 160505496 166128300 167193225 168076350 168897105 173227800 173880954 178339440 179281440 180156912 181311764 187663450 193201060 194881275 200631870 202676526 206863200 207873360 214007328 221504400 222924300 224101800 225196140 226639705 230970400 231841272 241501325 249448032 259841700 260821431 265805280 267509160 268922160 270235368 271967646 281495175 289801590 297232400 298802400 300261520 309121696 311810040 321010992 332256600 334386450 336152700 337794210 346455600 347761908 356678880 360313824 362623528 375326900 386402120 389762550 401263740 405353052 407951469 415746720 434702385 443008800 445848600 448203600 450392280 453279410 463682544 483002650 501579675 506691315 519683400 521642862 535018320 537844320 540470736 543935292 562990350 579603180 589263233 594464800 600523040 623620080 642021984 664513200 668772900 672305400 675588420 679919115 692911200 695523816 724503975 725247056 750653800 772804240 779525100 802527480 810706104 815902938 844485525 869404770 891697200 896407200 900784560 906558820 927365088 966005300 1003159350 1013382630 1039366800 1043285724 1070036640 1080941472 1087870584 1125980700 1133198525 1159206360 1178526466 1223854407 1247240160 1304107155 1329026400 1337545800 1344610800 1351176840 1359838230 1391047632 1449007950 1450494112 1501307600 1545608480 1559050200 1605054960 1621412208 1631805876 1688971050 1738809540 1767789699 1783394400 1801569120 1813117640 1932010600 2006318700 2026765260 2039757345 2078733600 2086571448 2173511925 2175741168 2251961400 2266397050 2318412720 2357052932 2447708814 2533456575 2608214310 2675091600 2689221600 2702353680 2719676460 2782095264 2898015900 2946316165 3002615200 3118100400 3210109920 3242824416 3263611752 3377942100 3399595575 3477619080 3535579398 3626235280 3864021200 4012637400 4053530520 4079514690 4173142896 4347023850 4351482336 4503922800 4532794100 4636825440 4714105864 4895417628 5066913150 5216428620 5303369097 5350183200 5404707360 5439352920 5796031800 5892632330 6119272035 6236200800 6520535775 6527223504 6755884200 6799191150 6955238160 7071158796 7252470560 7728042400 8025274800 8107061040 8159029380 8346285792 8694047700 8838948495 9007845600 9065588200 9428211728 9790835256 10133826300 10198786725 10432857240 10606738194 10878705840 11592063600 11785264660 12238544070 13041071550 13054447008 13511768400 13598382300 13910476320 14142317592 14731580825 15910107291 16050549600 16214122080 16318058760 17388095400 17677896990 18131176400 18856423456 19581670512 20267652600 20397573450 20865714480 21213476388 21757411680 23184127200 23570529320 24477088140 26082143100 26516845485 27023536800 27196764600 28284635184 29463161650 30596360175 31820214582 32636117520 34776190800 35355793980 36262352800 39163341024 40535305200 40795146900 41731428960 42426952776 44194742475 47141058640 48954176280 52164286200 53033690970 54393529200 56569270368 58926323300 61192720350 63640429164 65272235040 69552381600 70711587960 79550536455 81070610400 81590293800 84853905552 88389484950 94282117280 97908352560 104328572400 106067381940 108787058400 117852646600 122385440700 127280858328 132584227425 141423175920 159101072910 163180587600 169707811104 176778969900 195816705120 208657144800 212134763880 235705293200 244770881400 254561716656 265168454850 282846351840 318202145820 326361175200 353557939800 397752682275 424269527760 471410586400 489541762800 509123433312 530336909700 636404291640 707115879600 795505364550 848539055520 979083525600 1060673819400 1272808583280 1414231759200 1591010729100 2121347638800 2545617166560 3182021458200 4242695277600 6364042916400 12728085832800
- Sum of all divisors σ(n): 50718605051520
- Sum of proper divisors (its aliquot sum) s(n): 37990519218720
- 12728085832800 is an abundant number, because the sum of its proper divisors (37990519218720) is greater than itself. Its abundance is 25262433385920
Bases of 12728085832800
- Binary: 101110010011011111010000100011100100011000002
- Hexadecimal: 0xB937D08E460
- Base-36: 4IF79OBC0
Squares and roots of 12728085832800
- 12728085832800 squared (127280858328002) is 162004168967124069555840000
- 12728085832800 cubed (127280858328003) is 2062002967884989278673568892503552000000
-
The
square root of 12728085832800 is 3567644.2974041007 -
The
cube root of 12728085832800 is 23348.2516273485
Scales and comparisons
How big is 12728085832800?- 12,728,085,832,800 seconds is equal to 404,713 years, 39 weeks, 3 days, 6 hours.
-
To count from 1 to 12,728,085,832,800 would take you about one million, eleven thousand, seven hundred eighty-four 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 12728085832800 cubic inches would be around 1945.7 feet tall.
Recreational maths with 12728085832800
- 12728085832800 backwards is 00823858082721
- 12728085832800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12728085832800's digits is 54
- More coming soon!
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The information we have on file for 12728085832800 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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