13829001804800
13,829,001,804,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13829001804800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1056 divisors.
13829001804800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 13829001804800:
210 × 52 × 7 × 13 × 17 × 29 × 12041
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 17 × 29 × 12041)See below for interesting mathematical facts about the number 13829001804800 from the Numbermatics database.
Names of 13829001804800
- Cardinal: 13829001804800 can be written as Thirteen trillion, eight hundred twenty-nine billion, one million, eight hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38290018048 × 1013
Factors of 13829001804800
Divisors of 13829001804800
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 29 32 34 35 40 50 52 56 58 64 65 68 70 80 85 91 100 104 112 116 119 128 130 136 140 145 160 170 175 182 200 203 208 221 224 232 238 256 260 272 280 290 320 325 340 350 364 377 400 406 416 425 442 448 455 464 476 493 512 520 544 560 580 595 640 650 680 700 725 728 754 800 812 832 850 884 896 910 928 952 986 1015 1024 1040 1088 1105 1120 1160 1190 1280 1300 1360 1400 1450 1456 1508 1547 1600 1624 1664 1700 1768 1792 1820 1856 1885 1904 1972 2030 2080 2176 2210 2240 2275 2320 2380 2465 2560 2600 2639 2720 2800 2900 2912 2975 3016 3094 3200 3248 3328 3400 3451 3536 3584 3640 3712 3770 3808 3944 4060 4160 4352 4420 4480 4550 4640 4760 4930 5075 5120 5200 5278 5440 5525 5600 5800 5824 5950 6032 6188 6400 6409 6496 6656 6800 6902 7072 7168 7280 7424 7540 7616 7735 7888 8120 8320 8704 8840 8960 9100 9280 9425 9520 9860 10150 10400 10556 10880 11050 11200 11600 11648 11900 12041 12064 12325 12376 12800 12818 12992 13195 13312 13600 13804 14144 14560 14848 15080 15232 15470 15776 16240 16640 17255 17408 17680 17920 18200 18560 18850 19040 19720 20300 20800 21112 21760 22100 22400 23200 23296 23800 24082 24128 24650 24752 25600 25636 25984 26390 27200 27608 28288 29120 29696 30160 30464 30940 31552 32045 32480 33280 34510 35360 35840 36400 37120 37700 38080 38675 39440 40600 41600 42224 43520 44200 44800 44863 46400 46592 47600 48164 48256 49300 49504 51272 51968 52780 54400 55216 56576 58240 60205 60320 60928 61880 63104 64090 64960 65975 66560 69020 70720 72800 74240 75400 76160 77350 78880 81200 83200 84287 84448 86275 87040 88400 89600 89726 92800 93184 95200 96328 96512 98600 99008 102544 103936 105560 108800 110432 113152 116480 120410 120640 121856 123760 126208 128180 129920 131950 138040 141440 145600 148480 150800 152320 154700 156533 157760 160225 162400 166400 168574 168896 172550 176800 179200 179452 185600 190400 192656 193024 197200 198016 204697 205088 207872 211120 217600 220864 224315 226304 232960 240820 241280 247520 252416 256360 259840 263900 276080 282880 291200 301025 301600 304640 309400 313066 315520 320450 324800 332800 337148 337792 345100 349189 353600 358904 371200 380800 385312 386048 394400 396032 409394 410176 421435 422240 435200 441728 448630 465920 481640 482560 495040 504832 512720 519680 527800 552160 565760 582400 602050 603200 609280 618800 626132 631040 640900 649600 674296 675584 690200 698378 707200 717808 742400 761600 770624 782665 788800 792064 818788 820352 842870 844480 883456 897260 963280 965120 990080 1023485 1025440 1039360 1055600 1095731 1104320 1121575 1131520 1164800 1204100 1206400 1237600 1252264 1262080 1281800 1299200 1348592 1351168 1380400 1396756 1414400 1432879 1435616 1523200 1541248 1565330 1577600 1584128 1637576 1640704 1685740 1688960 1745945 1766912 1794520 1926560 1930240 1980160 2046970 2050880 2107175 2111200 2191462 2208640 2243150 2329600 2408200 2412800 2444323 2475200 2504528 2524160 2563600 2598400 2661061 2697184 2702336 2760800 2793512 2828800 2865758 2871232 3046400 3082496 3130660 3155200 3275152 3281408 3371480 3377920 3491890 3533824 3589040 3853120 3913325 3960320 4093940 4101760 4214350 4222400 4382924 4417280 4486300 4539457 4816400 4825600 4888646 4950400 5009056 5117425 5127200 5196800 5322122 5394368 5478655 5521600 5587024 5657600 5731516 5742464 5936213 6164992 6261320 6310400 6550304 6562816 6742960 6755840 6983780 7164395 7178080 7706240 7826650 7920640 8187880 8203520 8428700 8444800 8729725 8765848 8834560 8972600 9078914 9632800 9651200 9777292 9900800 10018112 10234850 10254400 10644244 10788736 10957310 11043200 11174048 11463032 11484928 11872426 12221615 12329984 12522640 12620800 13100608 13305305 13485920 13511680 13967560 14328790 14356160 15412480 15653300 16375760 16407040 16857400 16889600 17459450 17531696 17669120 17945200 18157828 18627427 19265600 19554584 19801600 20036224 20469700 20508800 21288488 21577472 21914620 22086400 22348096 22697285 22926064 22969856 23744852 24443230 25045280 26201216 26610610 26971840 27393275 27935120 28657580 28712320 29681065 30824960 31306600 31776199 32751520 32814080 33714800 33779200 34918900 35063392 35821975 35890400 36315656 37254854 38531200 39109168 39603200 40072448 40939400 41017600 41553491 42576976 43154944 43829240 44172800 44696192 45394570 45852128 45939712 47489704 48886460 50090560 52402432 53221220 53943680 54786550 55870240 57315160 57424640 59362130 61108075 61649920 62613200 63552398 65503040 66526525 67429600 67558400 69837800 70126784 71643950 71780800 72631312 74509708 77062400 77170769 78218336 80144896 81878800 82035200 83106982 85153952 86309888 87658480 88345600 89392384 90789140 91704256 93137135 94979408 97772920 100181120 104804864 106442440 107887360 109573100 111740480 113486425 114630320 114849280 118724260 122216150 125226400 127104796 131006080 133053050 134859200 139675600 140253568 143287900 143561600 145262624 148405325 149019416 154124800 154341538 156436672 158880995 160289792 163757600 164070400 166213964 170307904 175316960 178784768 181578280 183408512 186274270 189958816 195545840 200362240 207767455 209609728 212884880 215774720 219146200 223480960 226972850 229260640 229698560 237448520 244432300 250452800 254209592 262012160 266106100 269718400 279351200 280507136 286575800 287123200 290525248 296810650 298038832 308249600 308683076 312873344 317761990 327515200 332427928 340615808 350633920 357569536 363156560 366817024 372548540 379917632 385853845 391091680 400724480 415534910 425769760 431549440 438292400 446961920 453945700 458521280 465685675 474897040 488864600 500905600 508419184 524024320 532212200 539436800 540195383 558702400 561014272 573151600 574246400 581050496 593621300 596077664 617366152 625746688 635523980 655030400 664855856 681231616 701267840 726313120 733634048 745097080 759835264 771707690 782183360 794404975 801448960 831069820 851539520 876584800 893923840 907891400 917042560 931371350 949794080 977729200 1001811200 1016838368 1038837275 1048048640 1064424400 1078873600 1080390766 1117404800 1122028544 1146303200 1148492800 1162100992 1187242600 1192155328 1234732304 1251493376 1271047960 1310060800 1329711712 1362463232 1402535680 1452626240 1467268096 1490194160 1519670528 1543415380 1564366720 1588809950 1662139640 1703079040 1753169600 1787847680 1815782800 1834085120 1862742700 1899588160 1929269225 1955458400 2003622400 2033676736 2077674550 2128848800 2157747200 2160781532 2234809600 2292606400 2324201984 2374485200 2384310656 2469464608 2502986752 2542095920 2620121600 2659423424 2700976915 2724926464 2805071360 2905252480 2980388320 3039341056 3086830760 3128733440 3177619900 3324279280 3406158080 3506339200 3631565600 3668170240 3725485400 3799176320 3858538450 3910916800 4007244800 4067353472 4155349100 4257697600 4321563064 4469619200 4585212800 4648403968 4748970400 4768621312 4938929216 5084191840 5240243200 5318846848 5401953830 5610142720 5810504960 5960776640 6078682112 6173661520 6257466880 6355239800 6648558560 6812316160 7012678400 7263131200 7336340480 7450970800 7598352640 7717076900 7821833600 8134706944 8310698200 8515395200 8643126128 8939238400 9170425600 9497940800 9537242624 9877858432 10168383680 10637693696 10803907660 11621009920 11921553280 12347323040 12514933760 12710479600 13297117120 13504884575 13624632320 14025356800 14526262400 14901941600 15196705280 15434153800 15643667200 16269413888 16621396400 17030790400 17286252256 18340851200 18995881600 19074485248 19755716864 20336767360 21275387392 21607815320 23242019840 23843106560 24694646080 25420959200 26594234240 27009769150 28050713600 29052524800 29803883200 30393410560 30868307600 31287334400 32538827776 33242792800 34061580800 34572504512 36681702400 37991763200 39511433728 40673534720 42550774784 43215630640 47686213120 49389292160 50841918400 53188468480 54019538300 58105049600 59607766400 61736615200 62574668800 66485585600 68123161600 69145009024 75983526400 79022867456 81347069440 86431261280 95372426240 98778584320 101683836800 106376936960 108039076600 116210099200 119215532800 123473230400 132971171200 138290018048 151967052800 162694138880 172862522560 197557168640 203367673600 212753873920 216078153200 238431065600 246946460800 265942342400 276580036096 345725045120 395114337280 406735347200 432156306400 476862131200 493892921600 531884684800 553160072192 691450090240 813470694400 864312612800 987785843200 1063769369600 1382900180480 1728625225600 1975571686400 2765800360960 3457250451200 6914500902400 13829001804800
- Sum of all divisors σ(n): 46215743253120
- Sum of proper divisors (its aliquot sum) s(n): 32386741448320
- 13829001804800 is an abundant number, because the sum of its proper divisors (32386741448320) is greater than itself. Its abundance is 18557739643520
Bases of 13829001804800
- Binary: 110010010011110100001011110101111100000000002
- Hexadecimal: 0xC93D0BD7C00
- Base-36: 4WGYEMBY8
Squares and roots of 13829001804800
- 13829001804800 squared (138290018048002) is 191241290917161657303040000
- 13829001804800 cubed (138290018048003) is 2644676157245710406137099260526592000000
-
The
square root of 13829001804800 is 3718736.5871758113 -
The
cube root of 13829001804800 is 24002.8942139291
Scales and comparisons
How big is 13829001804800?- 13,829,001,804,800 seconds is equal to 439,719 years, 25 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,829,001,804,800 would take you about one million, ninety-nine thousand, two hundred ninety-eight 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 13829001804800 cubic inches would be around 2000.2 feet tall.
Recreational maths with 13829001804800
- 13829001804800 backwards is 00840810092831
- The number of decimal digits it has is: 14
- The sum of 13829001804800's digits is 44
- 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 13829001804800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 13829001804800 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/13829001804800/
Chicago style:
Numbermatics. 2024. "Number 13829001804800 - Facts about the integer". https://numbermatics.com/n/13829001804800/
The information we have on file for 13829001804800 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 13829001804800, math, Factors of 13829001804800, curriculum, school, college, exams, university, Prime factorization of 13829001804800, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, eight hundred twenty-nine billion, one million, eight hundred four thousand, eight hundred.