12807420242400
12,807,420,242,400 is an even composite number composed of six prime numbers multiplied together.
12807420242400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 12807420242400:
25 × 32 × 52 × 7 × 192 × 8392
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 19 × 19 × 839 × 839)See below for interesting mathematical facts about the number 12807420242400 from the Numbermatics database.
Names of 12807420242400
- Cardinal: 12807420242400 can be written as Twelve trillion, eight hundred seven billion, four hundred twenty million, two hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.28074202424 × 1013
Factors of 12807420242400
Divisors of 12807420242400
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 32 35 36 38 40 42 45 48 50 56 57 60 63 70 72 75 76 80 84 90 95 96 100 105 112 114 120 126 133 140 144 150 152 160 168 171 175 180 190 200 210 224 225 228 240 252 266 280 285 288 300 304 315 336 342 350 360 361 380 399 400 420 450 456 475 480 504 525 532 560 570 600 608 630 665 672 684 700 720 722 760 798 800 839 840 855 900 912 950 1008 1050 1064 1083 1120 1140 1197 1200 1260 1330 1368 1400 1425 1440 1444 1520 1575 1596 1678 1680 1710 1800 1805 1824 1900 1995 2016 2100 2128 2166 2280 2394 2400 2517 2520 2527 2660 2736 2800 2850 2888 3040 3150 3192 3249 3325 3356 3360 3420 3600 3610 3800 3990 4195 4200 4256 4275 4332 4560 4788 5034 5040 5054 5320 5415 5472 5600 5700 5776 5873 5985 6300 6384 6498 6650 6712 6840 7200 7220 7551 7581 7600 7980 8390 8400 8550 8664 9025 9120 9576 9975 10068 10080 10108 10640 10830 11400 11552 11746 11970 12585 12600 12635 12768 12996 13300 13424 13680 14440 15102 15162 15200 15941 15960 16245 16780 16800 17100 17328 17619 18050 19152 19950 20136 20216 20975 21280 21660 22743 22800 23492 23940 25170 25200 25270 25992 26600 26848 27075 27360 28880 29365 29925 30204 30324 31882 31920 32490 33560 34200 34656 35238 36100 37755 37905 38304 39900 40272 40432 41950 43320 45486 45600 46984 47823 47880 50340 50400 50540 51984 52857 53200 54150 57760 58730 59850 60408 60648 62925 63175 63764 63840 64980 67120 68400 70476 72200 75510 75810 79705 79800 80544 80864 81225 83900 86640 88095 90972 93968 95646 95760 100680 101080 103968 105714 106400 108300 111587 113715 117460 119700 120816 121296 125850 126350 127528 129960 134240 136800 140952 143469 144400 146825 151020 151620 159410 159600 162450 167800 173280 176190 181944 187936 188775 189525 191292 191520 201360 202160 211428 216600 223174 227430 234920 239115 239400 241632 242592 251700 252700 255056 259920 264285 281904 286938 288800 293650 302040 302879 303240 318820 319200 324900 334761 335600 352380 363888 377550 379050 382584 398525 402720 404320 422856 433200 440475 446348 454860 469840 478230 478800 503400 505400 510112 519840 528570 557935 563808 568575 573876 587300 604080 605758 606480 637640 649800 669522 671200 703921 704760 717345 727776 755100 758100 765168 797050 845712 866400 880950 892696 908637 909720 939680 956460 957600 1004283 1006800 1010800 1057140 1115870 1137150 1147752 1174600 1195575 1208160 1211516 1212960 1275280 1299600 1321425 1339044 1407842 1409520 1434690 1510200 1514395 1516200 1530336 1594100 1673805 1691424 1761900 1785392 1817274 1819440 1912920 2008566 2013600 2021600 2111763 2114280 2120153 2231740 2274300 2295504 2349200 2391150 2423032 2550560 2599200 2642850 2678088 2725911 2789675 2815684 2819040 2869380 3020400 3028790 3032400 3188200 3347610 3519605 3523800 3570784 3586725 3634548 3638880 3825840 4017132 4223526 4228560 4240306 4463480 4543185 4548600 4591008 4698400 4782300 4846064 4927447 5021415 5285700 5356176 5451822 5579350 5631368 5738760 6040800 6057580 6064800 6335289 6360459 6376400 6695220 7039210 7047600 7173450 7269096 7571975 7651680 8034264 8369025 8447052 8457120 8480612 8926960 9086370 9097200 9564600 9692128 9854894 10042830 10558815 10571400 10600765 10712352 10903644 11158700 11262736 11477520 12115160 12670578 12720918 12752800 13374499 13390440 13629555 14078420 14095200 14346900 14538192 14782341 15143950 16068528 16738050 16894104 16961224 17598025 17853920 18172740 18194400 19081377 19129200 19709788 20085660 21117630 21142800 21201530 21807288 22317400 22525472 22715925 22955040 24230320 24637235 25107075 25341156 25441836 26748998 26780880 27259110 28156840 28693800 29076384 29564682 30287900 31676445 31802295 32137056 33476100 33788208 33922448 35196050 36345480 38162754 38258400 39419576 40123497 40171320 42235260 42285600 42403060 43614576 44347023 44634800 45431850 48460640 49274470 50214150 50682312 50883672 52794075 53003825 53497996 53561760 54518220 56313680 57387600 59129364 60575800 63352890 63604590 66872495 66952200 67576416 67844896 68147775 70392100 72690960 73911705 76325508 78839152 80246994 80342640 84470520 84806120 87229152 88694046 89269600 90863700 93621493 95406885 98548940 100428300 101364624 101767344 105588150 106007650 106995992 109036440 112627360 114775200 118258728 120370491 121151600 123186175 126705780 127209180 133744990 133904400 136295550 140784200 145381920 147823410 152651016 157678304 158382225 159011475 160493988 160685280 168941040 169612240 177388092 181727400 187242986 190813770 197097880 200617485 200856600 202729248 203534688 211176300 212015300 213991984 218072880 221735115 236517456 240740982 242303200 246372350 253411560 254115481 254418360 267489980 267808800 272591100 280864479 281568400 295646820 305302032 316764450 318022950 320987976 334362475 337882080 339224480 354776184 363454800 369558525 374485972 381627540 394195760 401234970 401713200 422352600 424030600 427983968 436145760 443470230 468107465 473034912 477034425 481481964 492744700 506823120 508230962 508836720 534979960 545182200 561728958 563136800 591293640 601852455 610604064 633528900 636045900 641975952 668724950 709552368 726909600 739117050 748971944 762346443 763255080 788391520 802469940 803426400 842593437 844705200 848061200 886940460 936214930 954068850 962963928 985489400 1003087425 1013646240 1016461924 1017673440 1069959920 1090364400 1108675575 1123457916 1182587280 1203704910 1267057800 1270577405 1272091800 1283951904 1337449900 1404322395 1419104736 1478234100 1497943888 1524692886 1526510160 1604939880 1685186874 1689410400 1696122400 1773880920 1778808367 1872429860 1908137700 1925927856 1970978800 2006174850 2032923848 2139919840 2180728800 2217351150 2246915832 2287039329 2340537325 2365174560 2407409820 2534115600 2541154810 2544183600 2674899800 2808644790 2956468200 2995887776 3009262275 3049385772 3053020320 3209879760 3370373748 3547761840 3557616734 3744859720 3811732215 3816275400 3851855712 3941957600 4012349700 4065847696 4212967185 4434702300 4493831664 4574078658 4681074650 4814819640 5068231200 5082309620 5088367200 5336425101 5349799600 5617289580 5912936400 6018524550 6098771544 6352887025 6419759520 6740747496 7021611975 7095523680 7115233468 7489719440 7623464430 7632550800 8024699400 8131695392 8425934370 8869404600 8894041835 8987663328 9148157316 9362149300 9629639280 10164619240 10672850202 10699599200 11234579160 11435196645 11825872800 12037049100 12197543088 12705774050 13481494992 14043223950 14230466936 14979438880 15246928860 15265101600 16009275303 16049398800 16851868740 17738809200 17788083670 18296314632 18724298600 19058661075 19259278560 20329238480 21064835925 21345700404 22469158320 22870393290 24074098200 24395086176 25411548100 26682125505 26962989984 28086447900 28460933872 30493857720 32018550606 32098797600 33703737480 35477618400 35576167340 36592629264 37448597200 38117322150 40658476960 42129671850 42691400808 44470209175 44938316640 45740786580 48148196400 50823096200 53364251010 56172895800 56921867744 57175983225 60987715440 64037101212 67407474960 71152334680 73185258528 74897194400 76234644300 80046376515 84259343700 85382801616 88940418350 91481573160 96296392800 101646192400 106728502020 112345791600 114351966450 121975430880 128074202424 133410627525 134814949920 142304669360 152469288600 160092753030 168518687400 170765603232 177880836700 182963146320 203292384800 213457004040 224691583200 228703932900 256148404848 266821255050 284609338720 304938577200 320185506060 337037374800 355761673400 365926292640 400231882575 426914008080 457407865800 512296809696 533642510100 609877154400 640371012120 674074749600 711523346800 800463765150 853828016160 914815731600 1067285020200 1280742024240 1423046693600 1600927530300 1829631463200 2134570040400 2561484048480 3201855060600 4269140080800 6403710121200 12807420242400
- Sum of all divisors σ(n): 54538403584392
- Sum of proper divisors (its aliquot sum) s(n): 41730983341992
- 12807420242400 is an abundant number, because the sum of its proper divisors (41730983341992) is greater than itself. Its abundance is 28923563099592
Bases of 12807420242400
- Binary: 101110100101111101011011101111101001111000002
- Hexadecimal: 0xBA5F5BBE9E0
- Base-36: 4JFNBC1K0
Squares and roots of 12807420242400
- 12807420242400 squared (128074202424002) is 164030013265437274757760000
- 12807420242400 cubed (128074202424003) is 2100801312256901877020025980481024000000
-
The
square root of 12807420242400 is 3578745.6241538039 -
The
cube root of 12807420242400 is 23396.6612242725
Scales and comparisons
How big is 12807420242400?- 12,807,420,242,400 seconds is equal to 407,236 years, 18 weeks, 14 hours.
-
To count from 1 to 12,807,420,242,400 would take you about one million, eighteen thousand and ninety 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 12807420242400 cubic inches would be around 1949.7 feet tall.
Recreational maths with 12807420242400
- 12807420242400 backwards is 00424202470821
- 12807420242400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12807420242400's digits is 36
- More coming soon!
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"Number 12807420242400 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 12807420242400 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/12807420242400/
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The information we have on file for 12807420242400 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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