13829313188499315
13,829,313,188,499,315 is an odd composite number composed of nine prime numbers multiplied together.
What does the number 13829313188499315 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 768 divisors.
13829313188499315 is an odd composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13829313188499315:
3 × 5 × 13 × 17 × 19 × 312 × 41 × 53 × 105143
(3 × 5 × 13 × 17 × 19 × 31 × 31 × 41 × 53 × 105143)See below for interesting mathematical facts about the number 13829313188499315 from the Numbermatics database.
Names of 13829313188499315
- Cardinal: 13829313188499315 can be written as Thirteen quadrillion, eight hundred twenty-nine trillion, three hundred thirteen billion, one hundred eighty-eight million, four hundred ninety-nine thousand, three hundred fifteen.
Scientific notation
- Scientific notation: 1.3829313188499315 × 1016
Factors of 13829313188499315
Divisors of 13829313188499315
- Number of divisors d(n): 768
-
Complete list of divisors:
1 3 5 13 15 17 19 31 39 41 51 53 57 65 85 93 95 123 155 159 195 205 221 247 255 265 285 323 403 465 527 533 589 615 663 689 697 741 779 795 901 961 969 1007 1105 1209 1235 1271 1581 1599 1615 1643 1767 2015 2067 2091 2173 2337 2635 2665 2703 2883 2945 3021 3315 3445 3485 3705 3813 3895 4199 4505 4805 4845 4929 5035 6045 6355 6519 6851 7657 7905 7995 8215 8835 9061 10013 10127 10335 10455 10865 11685 11713 12493 12597 13091 13243 13515 14415 15105 16337 16523 17119 18259 19065 20553 20995 21359 21607 22971 24149 24645 27183 27931 28249 30039 30381 31217 32595 34255 35139 36941 37479 38285 39273 39401 39729 41287 45305 49011 49569 50065 50635 50933 51357 54777 58565 62465 62985 64077 64821 65455 66215 67363 72447 81685 82615 83793 84747 85595 91295 93651 102765 105143 106795 108035 110823 114855 118203 120745 123861 130169 135915 139655 141245 150195 151905 152799 156085 172159 175695 184705 187395 196365 197005 198645 202089 206435 212381 222547 237367 245055 247845 254665 256785 273885 280891 310403 313937 315429 320385 324105 336815 362235 363103 390507 405821 410533 418965 423735 468255 480233 512213 516477 525715 530689 536731 554115 591015 619305 637143 650845 662129 667641 669817 701879 712101 748619 763995 842673 860795 865861 875719 931209 941811 967727 1010445 1061905 1089309 1112735 1145171 1186835 1217463 1231599 1279897 1366859 1404455 1440699 1536639 1552015 1569685 1577145 1592067 1610193 1787431 1815515 1952535 1986387 1997717 2009451 2029105 2052665 2088253 2105637 2245857 2401165 2561065 2582385 2597583 2627157 2653445 2683655 2903181 3185715 3259433 3310645 3338205 3349085 3435513 3509395 3560505 3743095 3839691 4035239 4100577 4213365 4310863 4329305 4378595 4656045 4709055 4838635 5336929 5362293 5446545 5572579 5725855 5993151 6087315 6157995 6264759 6399485 6834295 6898957 7203495 7683195 7960335 8050965 8707621 8937155 9124427 9732047 9778299 9931935 9988585 10047255 10441265 10528185 11229285 11256193 12105717 12580451 12726523 12932589 12987915 13135785 14515905 14887223 16010787 16297165 16451359 16638661 16717737 17177565 19198455 20176195 20502885 20696871 21554315 21758249 23236603 25970321 26122863 26684645 26811465 27147289 27373281 27862895 29196141 29965755 31323795 33768579 33961189 34494785 35500301 37741353 38179569 39676807 42372629 43538105 44661669 45622135 48660235 48891495 49354077 49915983 55410361 56041219 56280965 60528585 61929227 62902255 63632615 64662945 65274747 69709809 72443527 73284671 74436115 77910963 80053935 81441867 81906397 82256795 83193305 83588685 94733843 101042423 101883567 103484355 105879001 106500903 108791245 116183015 119030421 127117887 129851605 130614315 133636753 135736445 136866405 145980705 165444799 166231083 168123657 168842895 169805945 172749949 177501505 185787681 188706765 190897845 198384035 211863145 213867667 217330581 219854013 223308345 228475739 245719191 246770385 249579915 277051805 280206095 282857237 284201529 303127269 309646135 317637003 326373735 348549045 362217635 366423355 389554815 400910259 407209335 409531985 441495457 461503913 473669215 496334397 505212115 509417835 515798491 518249847 529395005 532504515 595152105 635589435 641603001 668183765 674505719 685427217 720334693 805079951 827223995 831155415 840618285 848571711 863749745 928938405 952700723 1052796859 1064783161 1069338335 1086652905 1099270065 1142378695 1228595955 1231539959 1313551499 1324486371 1376427013 1384511739 1392408749 1414286185 1421007645 1515636345 1547395473 1588185015 1717721191 1737277789 1799943017 1919806037 2004551295 2023517157 2161004079 2207477285 2245749337 2271824801 2307519565 2415239853 2481671985 2539098307 2578992455 2591249235 2858102169 2936749133 2970184607 3158390577 3194349483 3208015005 3282249031 3372528595 3427136085 3601673465 3694619877 3884087563 3940654497 4025399755 4129281039 4142739343 4177226247 4242858555 4341039041 4763503615 5153163573 5211833367 5263984295 5323915805 5355248419 5399829051 5759418111 6157699795 6567757495 6622431855 6737248011 6815474403 6882135065 6922558695 6962043745 7082747909 7617294921 7736977365 8588605955 8686388945 8768574347 8810247399 8910553821 8999715085 9599030185 9846747093 10117585785 10805020395 11228746685 11359124005 11652262689 12076199265 12428218029 12695491535 13023117123 13686359167 14290510845 14683745665 14850923035 15791952885 15971747415 16065745257 16411245155 18101313737 18473099385 19420437815 19703272485 20646405195 20713696715 20886131235 21248243727 21705195205 22330375483 23399259221 24957478481 25765817865 26059166835 26305723041 26776242095 26999145255 28797090555 29533722413 32636702629 33008277991 33686240055 34077372015 35413739545 38086474605 38177738729 41059077501 42669237403 43164671219 43842871735 44051236995 44552769105 49233735465 50493138319 53855611459 54303941211 55798233527 56433507533 58261313445 62141090145 65115585615 66991126449 68431795835 69618229447 70197777663 70426568831 73797663697 74872435443 78712047517 80328726285 88601167239 90506568685 91039223123 92075722817 97910107887 99024833973 101749719961 106241218635 111651877415 114533216187 116996296105 120406714453 124787392405 128007712209 129494013657 131528615205 134572210271 147668612065 151479414957 161566834377 163183513145 165041389955 167394700581 169300522599 190888693645 205295387505 208854688341 211279706493 213346187015 215823356095 219565185179 221392991091 236136142551 252465691595 269278057295 271519706055 273117669369 276227168451 278991167635 282167537665 305249159883 334955632245 348091147235 350988888315 352132844155 361220143359 368988318485 374362177215 393560237585 403716630813 424277134177 443005836195 455196115615 460378614085 489550539435 495124169865 508748599805 561140725847 572666080935 602033572265 640038561045 647470068285 658695555537 672861051355 725377035851 757397074785 807834171885 836973502905 846502612995 915545394803 959369628061 1023256617721 1044273441705 1056398532465 1097825925895 1106964955455 1180680712755 1183509900599 1272831402531 1322746359493 1338104807789 1365588346845 1381135842255 1526245799415 1565287287889 1683422177541 1729745239337 1749438733523 1806100716795 2018583154065 2121385670885 2176131107553 2287727574607 2746636184409 2805703629235 2854347407327 2878108884183 3069769853163 3293477777685 3550529701797 3626885179255 3732608148043 3968239078479 4014314423367 4171738518401 4577726974015 4695861863667 4796848140305 5116283088605 5189235718011 5248316200569 5917549502995 6364157012655 6613731797465 6690524038945 6863182723821 7826436439445 8417110887705 8563042221981 8648726196685 8747193667615 10880655537765 11197824444129 11438637873035 12515215555203 13733180922045 14271737036635 14390544420915 15348849265815 17395362501257 17752648508985 18663040740215 19841195392395 20071572116835 20858692592005 22486688111381 23479309318335 25946178590055 26241581002845 29740458469891 34315913619105 42815211109905 48523905924559 52186087503771 54232600739213 55989122220645 62576077776015 67460064334143 70919554812817 86976812506285 89221375409673 112433440556905 145571717773677 148702292349455 162697802217639 212758664438451 242619529622795 260930437518855 271163003696065 337300321670715 354597774064085 446106877048365 727858588868385 813489011088195 921954212566621 1063793322192255 2765862637699863 4609771062833105 13829313188499315
- Sum of all divisors σ(n): 28643004535541760
- Sum of proper divisors (its aliquot sum) s(n): 14813691347042445
- 13829313188499315 is an abundant number, because the sum of its proper divisors (14813691347042445) is greater than itself. Its abundance is 984378158543130
Bases of 13829313188499315
- Binary: 1100010010000110101111111001000001011010001111011100112
- Hexadecimal: 0x3121AFE4168F73
- Base-36: 3S62YRU5APF
Squares and roots of 13829313188499315
- 13829313188499315 squared (138293131884993152) is 191249903265601090373181755469225
- 13829313188499315 cubed (138293131884993153) is 2644854809530195371294085900871229668871416080875
-
The
square root of 13829313188499315 is 117598100.2758944017 -
The
cube root of 13829313188499315 is 240030.7436802377
Scales and comparisons
How big is 13829313188499315?- 13,829,313,188,499,315 seconds is equal to 439,729,382 years, 27 weeks, 6 hours, 15 minutes, 15 seconds.
-
To count from 1 to 13,829,313,188,499,315 would take you about one billion, three hundred nineteen million, one hundred eighty-eight thousand, one hundred forty-seven 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 13829313188499315 cubic inches would be around 20002.6 feet tall.
Recreational maths with 13829313188499315
- 13829313188499315 backwards is 51399488131392831
- The number of decimal digits it has is: 17
- The sum of 13829313188499315's digits is 78
- 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 13829313188499315 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 13829313188499315 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/13829313188499315/
Chicago style:
Numbermatics. 2024. "Number 13829313188499315 - Facts about the integer". https://numbermatics.com/n/13829313188499315/
The information we have on file for 13829313188499315 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 13829313188499315, math, Factors of 13829313188499315, curriculum, school, college, exams, university, Prime factorization of 13829313188499315, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred twenty-nine trillion, three hundred thirteen billion, one hundred eighty-eight million, four hundred ninety-nine thousand, three hundred fifteen.