13830486924800
13,830,486,924,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13830486924800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
13830486924800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13830486924800:
29 × 52 × 72 × 13 × 17 × 113 × 883
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 17 × 113 × 883)See below for interesting mathematical facts about the number 13830486924800 from the Numbermatics database.
Names of 13830486924800
- Cardinal: 13830486924800 can be written as Thirteen trillion, eight hundred thirty billion, four hundred eighty-six million, nine hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38304869248 × 1013
Factors of 13830486924800
Divisors of 13830486924800
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 49 50 52 56 64 65 68 70 80 85 91 98 100 104 112 113 119 128 130 136 140 160 170 175 182 196 200 208 221 224 226 238 245 256 260 272 280 320 325 340 350 364 392 400 416 425 442 448 452 455 476 490 512 520 544 560 565 595 637 640 650 680 700 728 784 791 800 832 833 850 883 884 896 904 910 952 980 1040 1088 1105 1120 1130 1190 1225 1274 1280 1300 1360 1400 1456 1469 1547 1568 1582 1600 1664 1666 1700 1766 1768 1792 1808 1820 1904 1921 1960 2080 2176 2210 2240 2260 2275 2380 2450 2548 2560 2600 2720 2800 2825 2912 2938 2975 3094 3136 3164 3185 3200 3328 3332 3400 3532 3536 3584 3616 3640 3808 3842 3920 3955 4160 4165 4352 4415 4420 4480 4520 4550 4760 4900 5096 5200 5440 5525 5537 5600 5650 5824 5876 5950 6181 6188 6272 6328 6370 6400 6656 6664 6800 7064 7072 7232 7280 7345 7616 7684 7735 7840 7910 8320 8330 8704 8830 8840 8960 9040 9100 9520 9605 9800 10192 10283 10400 10829 10880 11050 11074 11200 11300 11479 11648 11752 11900 12362 12376 12544 12656 12740 12800 13328 13447 13600 14128 14144 14464 14560 14690 15011 15232 15368 15470 15680 15820 15925 16640 16660 17660 17680 17920 18080 18200 19040 19210 19600 19775 20384 20566 20800 20825 21658 21760 22075 22100 22148 22400 22600 22958 23296 23504 23800 24724 24752 24973 25088 25312 25480 26656 26894 27200 27685 28256 28288 28928 29120 29380 30022 30464 30736 30905 30940 31360 31640 31850 33280 33320 35320 35360 36160 36400 36725 38080 38420 38675 39200 39550 40768 41132 41600 41650 43267 43316 43520 44150 44200 44296 44800 45200 45916 46592 47008 47600 48025 49448 49504 49946 50624 50960 51415 53312 53788 54145 54400 55370 56512 56576 57395 57856 58240 58760 60044 60928 61472 61810 61880 62720 63280 63700 66640 67235 70640 70720 71981 72320 72800 73450 75055 76160 76840 77350 78400 79100 80353 81536 82264 83200 83300 86534 86632 88300 88400 88592 89600 90400 91832 94016 94129 95200 96050 98896 99008 99779 99892 101248 101920 102830 105077 106624 107576 108290 108800 110740 113024 113152 114790 116480 117520 120088 122944 123620 123760 124865 125440 126560 127400 133280 134470 138425 141280 141440 143962 144640 145600 146900 150110 152320 153680 154525 154700 156800 158200 160706 163072 164528 166400 166600 173068 173264 174811 176600 176800 177184 180800 183664 188032 188258 190400 192100 195143 197792 198016 199558 199784 202496 203840 205660 210154 213248 215152 216335 216580 217600 221480 226048 229580 232960 235040 240176 245888 247240 247520 249730 253120 254800 257075 266560 268940 270725 276850 282560 282880 286975 287924 289280 291200 293800 300220 304640 307360 309050 309400 313600 316400 321412 326144 329056 333200 336175 346136 346528 349622 353200 353600 354368 359905 361600 367328 375275 376064 376516 380800 384200 390286 395584 396032 399116 399568 401765 404992 407680 411320 420308 426496 430304 432670 433160 442960 452096 459160 470080 470645 480352 491776 494480 495040 498895 499460 506240 509600 514150 525385 533120 537880 541450 553700 562471 565120 565760 573950 575848 582400 587600 600440 614720 618100 618800 624325 627200 632800 642824 658112 666400 672350 692272 693056 698453 699244 706400 707200 708736 719810 723200 734656 735539 750550 752128 753032 761600 768400 780572 791168 792064 798232 799136 803530 815360 822640 840616 860608 865340 866320 874055 885920 918320 940160 941290 960704 975715 983552 988960 990080 997790 998920 1012480 1019200 1028300 1050770 1066240 1075760 1081675 1082900 1107400 1124942 1130240 1147900 1151696 1164800 1175200 1200880 1223677 1229440 1236200 1237600 1248650 1265600 1285648 1297127 1316224 1332800 1344700 1366001 1384544 1386112 1396906 1398488 1412800 1414400 1417472 1439620 1446400 1469312 1471078 1501100 1506064 1523200 1536800 1561144 1582336 1596464 1598272 1607060 1630720 1645280 1681232 1696243 1721216 1730680 1732640 1748110 1771840 1799525 1836640 1880320 1882580 1921408 1951430 1977920 1980160 1995580 1997840 2008825 2024960 2038400 2056600 2101540 2132480 2151520 2163350 2165800 2214800 2249884 2260480 2295800 2303392 2350400 2353225 2401760 2447354 2458880 2472400 2475200 2494475 2497300 2531200 2571296 2594254 2626925 2632448 2665600 2689400 2732002 2769088 2772224 2793812 2796976 2812355 2825600 2828800 2834944 2879240 2938624 2942156 3002200 3012128 3073600 3122288 3164672 3192928 3196544 3214120 3290560 3362464 3392486 3442432 3461360 3465280 3492265 3496220 3543680 3599050 3673280 3677695 3760640 3765160 3842816 3902860 3955840 3960320 3991160 3995680 4017650 4076800 4113200 4203080 4303040 4326700 4331600 4370275 4429600 4499768 4591600 4606784 4700800 4706450 4803520 4878575 4889171 4894708 4917760 4944800 4950400 4988950 4994600 5062400 5142592 5188508 5253850 5264896 5331200 5378800 5464004 5538176 5544448 5587624 5593952 5624710 5651200 5758480 5877248 5884312 6004400 6024256 6118385 6147200 6244576 6385856 6393088 6428240 6485635 6581120 6724928 6784972 6830005 6884864 6922720 6930560 6984530 6992440 7087360 7198100 7346560 7355390 7530320 7685632 7805720 7911680 7982320 7991360 8035300 8153600 8226400 8406160 8481215 8606080 8653400 8663200 8740550 8859200 8999536 9079889 9183200 9213568 9401600 9412900 9562007 9607040 9757150 9778342 9789416 9889600 9900800 9977900 9989200 10124800 10285184 10377016 10507700 10662400 10757600 10928008 11076352 11175248 11187904 11249420 11302400 11516960 11768624 11873701 12008800 12048512 12236770 12294400 12489152 12771712 12786176 12856480 12971270 13162240 13449856 13569944 13660010 13845440 13861120 13969060 13984880 14061775 14174720 14396200 14693120 14710780 15060640 15611440 15823360 15964640 15982720 16070600 16452800 16812320 16962430 17212160 17306800 17326400 17461325 17481100 17718400 17999072 18159778 18366400 18388475 18427136 18803200 18825800 19124014 19214080 19514300 19556684 19578832 19779200 19801600 19955800 19978400 20570368 20754032 21015400 21515200 21856016 22051159 22152704 22350496 22375808 22498840 23033920 23537248 23747402 24017600 24097024 24445855 24473540 24588800 24978304 25543424 25712960 25942540 26324480 26899712 27139888 27320020 27690880 27722240 27938120 27969760 28123550 28792400 29386240 29421560 30121280 30591925 31222880 31929280 31965440 32141200 32428175 32905600 33624640 33924860 34150025 34424320 34613600 34652800 34922650 34962200 35436800 35998144 36319556 36732800 36776950 36854272 37651600 38248028 38428160 39028600 39113368 39157664 39558400 39911600 39956800 41140736 41508064 42030800 42406075 43030400 43712032 44102318 44700992 44751616 44997680 45399445 46067840 47074496 47494804 47810035 48035200 48194048 48891710 48947080 49956608 51086848 51425920 51885080 53799424 54279776 54640040 55381760 55876240 55939520 56247100 57584800 58843120 59368505 60242560 61183850 62445760 63559223 63858560 63930880 64282400 64856350 65811200 67249280 67849720 68300050 69227200 69305600 69845300 69924400 70873600 71996288 72639112 73465600 73553900 75303200 76496056 78057200 78226736 78315328 79116800 79823200 79913600 83016128 83115907 84061600 84812150 86060800 87424064 88204636 89401984 89503232 89995360 90798890 92135680 94148992 94989608 95620070 96070400 97783420 97894160 99913216 102851840 103770160 108559552 109280080 110255795 110763520 111752480 111879040 112494200 115169600 117686240 118737010 120485120 122229275 122367700 124891520 127118446 127717120 128564800 129712700 131622400 134498560 135699440 136600100 138454400 138611200 139690600 139848800 143992576 145278224 146931200 147107800 150606400 152992112 154358113 156114400 156453472 156630656 159646400 159827200 166032256 166231814 168123200 169624300 172121600 174848128 176409272 178803968 179990720 181597780 184271360 188297984 189979216 191240140 192140800 195566840 195788320 205703680 207540320 217119104 218560160 220511590 223504960 223758080 224988400 226997225 230339200 235372480 237474020 239050175 240970240 244458550 244735400 249783040 254236892 255434240 257129600 259425400 268997120 271398880 273200200 276908800 279381200 279697600 287985152 290556448 294215600 296842525 301212800 305984224 308716226 312228800 312906944 313261312 317796115 319292800 319654400 332064512 332463628 336246400 339248600 349696256 352818544 357607936 359981440 363195560 376595968 379958432 382480280 391133680 391576640 415080640 415579535 434238208 437120320 441023180 447009920 447516160 449976800 453994450 460678400 470744960 474948040 478100350 488917100 489470800 499566080 508473784 514259200 518850800 542797760 546400400 551278975 553817600 558762400 559395200 581112896 588431200 593685050 602425600 611968448 617432452 624457600 625813888 626522624 635592230 638585600 664129024 664927256 672492800 678497200 699392512 705637088 719962880 726391120 759916864 764960560 771790565 782267360 783153280 830161280 831159070 868476416 874240640 882046360 894019840 899953600 907988900 921356800 941489920 949896080 956200700 977834200 978941600 1016947568 1028518400 1037701600 1080506791 1085595520 1092800800 1102557950 1117524800 1118790400 1162225792 1176862400 1187370100 1204851200 1223936896 1234864904 1248915200 1251627776 1271184460 1277171200 1329854512 1344985600 1356994400 1411274176 1439925760 1452782240 1519833728 1529921120 1543581130 1564534720 1566306560 1588980575 1660322560 1662318140 1748481280 1764092720 1788039680 1799907200 1815977800 1882979840 1899792160 1912401400 1955668400 1957883200 2033895136 2075403200 2077897675 2161013582 2171191040 2185601600 2205115900 2235049600 2237580800 2324451584 2353724800 2374740200 2447873792 2469729808 2497830400 2503255552 2542368920 2659709024 2713988800 2822548352 2905564480 3039667456 3059842240 3087162260 3129069440 3132613120 3177961150 3320645120 3324636280 3496962560 3528185440 3599814400 3631955600 3799584320 3824802800 3858952825 3911336800 3915766400 4067790272 4150806400 4155795350 4322027164 4342382080 4371203200 4410231800 4470099200 4648903168 4707449600 4749480400 4895747584 4939459616 5084737840 5319418048 5402533955 5427977600 5645096704 5811128960 6079334912 6119684480 6174324520 6258138880 6355922300 6649272560 7056370880 7199628800 7263911200 7599168640 7649605600 7717905650 7822673600 7831532800 8135580544 8301612800 8311590700 8644054328 8742406400 8820463600 8940198400 9414899200 9498960800 9878919232 10169475680 10638836096 10805067910 10855955200 11290193408 11622257920 12239368960 12348649040 12516277760 12711844600 13298545120 14112741760 14527822400 15198337280 15299211200 15435811300 15645347200 15663065600 16271161088 16603225600 16623181400 17288108656 17484812800 17640927200 18997921600 19757838464 20338951360 21277672192 21610135820 21711910400 23244515840 24478737920 24697298080 25423689200 26597090240 27012669775 28225483520 29055644800 30396674560 30598422400 30871622600 31290694400 32542322176 33246362800 34576217312 35281854400 37995843200 39515676928 40677902720 42555344384 43220271640 49394596160 50847378400 53194180480 54025339550 56450967040 58111289600 61196844800 61743245200 62581388800 66492725600 69152434624 70563708800 75991686400 79031353856 81355805440 86440543280 98789192320 101694756800 106388360960 108050679100 116222579200 122393689600 123486490400 132985451200 138304869248 141127417600 151983372800 162711610880 172881086560 197578384640 203389513600 212776721920 216101358200 246972980800 265970902400 276609738496 282254835200 345762173120 395156769280 406779027200 432202716400 493945961600 531941804800 553219476992 691524346240 813558054400 864405432800 987891923200 1063883609600 1383048692480 1728810865600 1975783846400 2766097384960 3457621731200 6915243462400 13830486924800
- Sum of all divisors σ(n): 45906041012832
- Sum of proper divisors (its aliquot sum) s(n): 32075554088032
- 13830486924800 is an abundant number, because the sum of its proper divisors (32075554088032) is greater than itself. Its abundance is 18245067163232
Bases of 13830486924800
- Binary: 110010010100001010010100001010011110000000002
- Hexadecimal: 0xC9429429E00
- Base-36: 4WHMYTLVK
Squares and roots of 13830486924800
- 13830486924800 squared (138304869248002) is 191282368577063760855040000
- 13830486924800 cubed (138304869248003) is 2645528297549854725681544788180992000000
-
The
square root of 13830486924800 is 3718936.2625352967 -
The
cube root of 13830486924800 is 24003.7534203699
Scales and comparisons
How big is 13830486924800?- 13,830,486,924,800 seconds is equal to 439,766 years, 36 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,830,486,924,800 would take you about one million, ninety-nine thousand, four hundred sixteen 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 13830486924800 cubic inches would be around 2000.3 feet tall.
Recreational maths with 13830486924800
- 13830486924800 backwards is 00842968403831
- 13830486924800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13830486924800's digits is 56
- 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 13830486924800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 13830486924800 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13830486924800/
Chicago style:
Numbermatics. 2024. "Number 13830486924800 - Facts about the integer". https://numbermatics.com/n/13830486924800/
The information we have on file for 13830486924800 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 13830486924800, math, Factors of 13830486924800, curriculum, school, college, exams, university, Prime factorization of 13830486924800, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, eight hundred thirty billion, four hundred eighty-six million, nine hundred twenty-four thousand, eight hundred.