13765690973224960
13,765,690,973,224,960 is an even composite number composed of six prime numbers multiplied together.
13765690973224960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixteen divisors.
Prime factorization of 13765690973224960:
218 × 5 × 7 × 11 × 413 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 41 × 41 × 41 × 1979)See below for interesting mathematical facts about the number 13765690973224960 from the Numbermatics database.
Names of 13765690973224960
- Cardinal: 13765690973224960 can be written as Thirteen quadrillion, seven hundred sixty-five trillion, six hundred ninety billion, nine hundred seventy-three million, two hundred twenty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.376569097322496 × 1016
Factors of 13765690973224960
Divisors of 13765690973224960
- Number of divisors d(n): 1216
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 41 44 55 56 64 70 77 80 82 88 110 112 128 140 154 160 164 176 205 220 224 256 280 287 308 320 328 352 385 410 440 448 451 512 560 574 616 640 656 704 770 820 880 896 902 1024 1120 1148 1232 1280 1312 1408 1435 1540 1640 1681 1760 1792 1804 1979 2048 2240 2255 2296 2464 2560 2624 2816 2870 3080 3157 3280 3362 3520 3584 3608 3958 4096 4480 4510 4592 4928 5120 5248 5632 5740 6160 6314 6560 6724 7040 7168 7216 7916 8192 8405 8960 9020 9184 9856 9895 10240 10496 11264 11480 11767 12320 12628 13120 13448 13853 14080 14336 14432 15785 15832 16384 16810 17920 18040 18368 18491 19712 19790 20480 20992 21769 22528 22960 23534 24640 25256 26240 26896 27706 28160 28672 28864 31570 31664 32768 33620 35840 36080 36736 36982 39424 39580 40960 41984 43538 45056 45920 47068 49280 50512 52480 53792 55412 56320 57344 57728 58835 63140 63328 65536 67240 68921 69265 71680 72160 73472 73964 78848 79160 81139 81920 83968 87076 90112 91840 92455 94136 98560 101024 104960 107584 108845 110824 112640 114688 115456 117670 126280 126656 129437 131072 134480 137842 138530 143360 144320 146944 147928 152383 157696 158320 162278 163840 167936 174152 180224 183680 184910 188272 197120 202048 209920 215168 217690 221648 225280 229376 230912 235340 252560 253312 258874 262144 268960 275684 277060 286720 288640 293888 295856 304766 315392 316640 324556 327680 335872 344605 348304 360448 367360 369820 376544 394240 404096 405695 419840 430336 435380 443296 450560 458752 461824 470680 482447 505120 506624 517748 537920 551368 554120 567973 573440 577280 587776 591712 609532 630784 633280 647185 649112 655360 671744 689210 696608 720896 734720 739640 753088 758131 761915 788480 808192 811390 839680 860672 870760 886592 892529 901120 917504 923648 941360 964894 1010240 1013248 1035496 1075840 1102736 1108240 1135946 1146880 1154560 1175552 1183424 1219064 1261568 1266560 1294370 1298224 1310720 1343488 1378420 1393216 1441792 1469440 1479280 1506176 1516262 1523830 1576960 1616384 1622780 1679360 1721344 1741520 1773184 1785058 1802240 1835008 1847296 1882720 1929788 2020480 2026496 2070992 2151680 2205472 2216480 2271892 2293760 2309120 2351104 2366848 2412235 2438128 2523136 2533120 2588740 2596448 2686976 2756840 2786432 2839865 2883584 2938880 2958560 3012352 3032524 3047660 3153920 3232768 3245560 3326699 3358720 3442688 3483040 3546368 3570116 3604480 3694592 3765440 3790655 3859576 4040960 4052992 4141984 4303360 4410944 4432960 4462645 4543784 4587520 4618240 4702208 4733696 4824470 4876256 5046272 5066240 5177480 5192896 5306917 5373952 5513680 5572864 5679730 5877760 5917120 6024704 6065048 6095320 6247703 6307840 6465536 6491120 6653398 6717440 6885376 6966080 7092736 7140232 7208960 7389184 7530880 7581310 7719152 8081920 8105984 8283968 8606720 8821888 8865920 8925290 9087568 9175040 9236480 9404416 9467392 9648940 9752512 10092544 10132480 10354960 10385792 10613834 10747904 11027360 11145728 11359460 11755520 11834240 12049408 12130096 12190640 12495406 12615680 12931072 12982240 13306796 13434880 13770752 13932160 14185472 14280464 14417920 14778368 15061760 15162620 15438304 16163840 16211968 16567936 16633495 17213440 17643776 17731840 17850580 18175136 18472960 18808832 18934784 19297880 19505024 20185088 20264960 20709920 20771584 21227668 22054720 22291456 22718920 23286893 23511040 23668480 24098816 24260192 24381280 24990812 25231360 25862144 25964480 26534585 26613592 26869760 27541504 27864320 28370944 28560928 29556736 30123520 30325240 30876608 31238515 32327680 32423936 33135872 33266990 34426880 35287552 35463680 35701160 36350272 36593689 36945920 37617664 37869568 38595760 39010048 40529920 41419840 41543168 42455336 44109440 44582912 45437840 46573786 47022080 47336960 48197632 48520384 48762560 49981624 50462720 51724288 51928960 53069170 53227184 53739520 55083008 55728640 56741888 57121856 59113472 60247040 60650480 61753216 62477030 64655360 64847872 66271744 66533980 68853760 70575104 70927360 71402320 72700544 73187378 73891840 75235328 75739136 77191520 78020096 81059840 82839680 83086336 84910672 88218880 89165824 90875680 93147572 94044160 94673920 96395264 97040768 97525120 99963248 100925440 103448576 103857920 106138340 106454368 110166016 111457280 113483776 114243712 116434465 118226944 120494080 121300960 123506432 124954060 129310720 129695744 132543488 133067960 136394659 137707520 141150208 141854720 142804640 145401088 146374756 147783680 151478272 154383040 156040192 162119680 165679360 166172672 169821344 176437760 178331648 181751360 182968445 186295144 188088320 189347840 192790528 194081536 195050240 199926496 206897152 207715840 212276680 212908736 220332032 222914560 226967552 228487424 232868930 240988160 242601920 247012864 249908120 256155823 258621440 259391488 265086976 266135920 272789318 275415040 282300416 283709440 285609280 290802176 292749512 295567360 302956544 308766080 312080384 324239360 331358720 332345344 339642688 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1560401920 1599411968 1661726720 1698213440 1703269888 1783316480 1815740416 1827899392 1862951440 1909525226 1927905280 1940815360 1976102912 1999264960 2049246584 2068971520 2120695808 2129087360 2182314544 2203320320 2258403328 2269675520 2284874240 2326417408 2341996096 2423652352 2470128640 2496643072 2561558230 2593914880 2650869760 2658762752 2717141504 2727893180 2823004160 2853306368 2908021760 2927495120 2980722304 3000682498 3029565440 3084648448 3105304576 3120803840 3198823936 3323453440 3396426880 3406539776 3566632960 3631480832 3655798784 3725902880 3819050452 3855810560 3881630720 3952205824 3998529920 4098493168 4137943040 4241391616 4258174720 4364629088 4516806656 4539351040 4569748480 4652834816 4683992192 4773813065 4847304704 4940257280 4993286144 5123116460 5301739520 5317525504 5434283008 5455786360 5646008320 5706612736 5816043520 5854990240 5961444608 6001364996 6059130880 6210609152 6241607680 6397647872 6646906880 6792853760 6813079552 7133265920 7311597568 7451805760 7501706245 7638100904 7711621120 7763261440 7904411648 7997059840 8196986336 8482783232 8516349440 8729258176 9033613312 9078702080 9139496960 9305669632 9367984384 9547626130 9880514560 9986572288 10246232920 10502388743 10603479040 10635051008 10868566016 10911572720 11292016640 11632087040 11709980480 11922889216 12002729992 12118261760 12421218304 12483215360 12795295744 13293813760 13585707520 13626159104 14266531840 14623195136 14903611520 15003412490 15276201808 15423242240 15526522880 15808823296 15994119680 16393972672 16965566464 17032698880 17458516352 18067226624 18157404160 18278993920 18611339264 18735968768 19095252260 19761029120 19973144576 20492465840 21004777486 21206958080 21270102016 21737132032 21823145440 22584033280 23264174080 23419960960 23845778432 24005459984 24236523520 24842436608 24966430720 25590591488 26587627520 27171415040 27252318208 28533063680 29246390272 29807223040 30006824980 30552403616 31053045760 31617646592 31988239360 32787945344 33931132928 34065397760 34917032704 36557987840 37222678528 37471937536 38190504520 39522058240 39946289152 40984931680 42009554972 42413916160 43474264064 43646290880 45168066560 46528348160 46839921920 47691556864 48010919968 49684873216 49932861440 51181182976 52511943715 53175255040 54342830080 54504636416 58492780544 59614446080 60013649960 61104807232 62106091520 63235293184 63976478720 65575890688 68130795520 69834065408 73115975680 74445357056 74943875072 76381009040 79044116480 81969863360 84019109944 84827832320 86948528128 87292581760 90336133120 93056696320 93679843840 95383113728 96021839936 99369746432 99865722880 102362365952 105023887430 106350510080 108685660160 109009272832 116985561088 119228892160 120027299920 122209614464 124212183040 126470586368 127952957440 131151781376 136261591040 139668130816 146231951360 148890714112 149887750144 152762018080 158088232960 163939726720 168038219888 169655664640 173897056256 174585163520 186113392640 187359687680 190766227456 192043679872 198739492864 199731445760 204724731904 210047774860 217371320320 218018545664 233971122176 238457784320 240054599840 244419228928 248424366080 255905914880 262303562752 272523182080 279336261632 292463902720 299775500288 305524036160 316176465920 327879453440 336076439776 347794112512 349170327040 372226785280 374719375360 381532454912 384087359744 409449463808 420095549720 434742640640 436037091328 476915568640 480109199680 488838457856 496848732160 511811829760 524607125504 545046364160 558672523264 584927805440 599551000576 611048072320 632352931840 655758906880 672152879552 695588225024 698340654080 744453570560 749438750720 763064909824 768174719488 818898927616 840191099440 869485281280 872074182656 953831137280 960218399360 977676915712 993697464320 1023623659520 1049214251008 1090092728320 1117345046528 1169855610880 1199102001152 1222096144640 1311517813760 1344305759104 1391176450048 1396681308160 1498877501440 1526129819648 1536349438976 1637797855232 1680382198880 1738970562560 1907662274560 1920436798720 1955353831424 2047247319040 2098428502016 2180185456640 2234690093056 2398204002304 2444192289280 2623035627520 2688611518208 2793362616320 2997755002880 3052259639296 3072698877952 3360764397760 3477941125120 3815324549120 3840873597440 3910707662848 4094494638080 4196857004032 4360370913280 4469380186112 4796408004608 4888384578560 5246071255040 5377223036416 5586725232640 5995510005760 6104519278592 6145397755904 6721528795520 6955882250240 7630649098240 7681747194880 7821415325696 8188989276160 8393714008064 8938760372224 9592816009216 9776769157120 10492142510080 10754446072832 11173450465280 11991020011520 12290795511808 13443057591040 15261298196480 15363494389760 15642830651392 16787428016128 17877520744448 19553538314240 20984285020160 21508892145664 22346900930560 23982040023040 24581591023616 26886115182080 30522596392960 30726988779520 31285661302784 33574856032256 35755041488896 39107076628480 41968570040320 43017784291328 44693801861120 47964080046080 49163182047232 53772230364160 61453977559040 62571322605568 67149712064512 78214153256960 83937140080640 86035568582656 89387603722240 98326364094464 107544460728320 122907955118080 125142645211136 156428306513920 167874280161280 172071137165312 178775207444480 196652728188928 215088921456640 245815910236160 250285290422272 312856613027840 335748560322560 344142274330624 393305456377856 430177842913280 491631820472320 625713226055680 688284548661248 860355685826560 983263640944640 1251426452111360 1376569097322496 1720711371653120 1966527281889280 2753138194644992 3441422743306240 6882845486612480 13765690973224960
- Sum of all divisors σ(n): 42240791254717440
- Sum of proper divisors (its aliquot sum) s(n): 28475100281492480
- 13765690973224960 is an abundant number, because the sum of its proper divisors (28475100281492480) is greater than itself. Its abundance is 14709409308267520
Bases of 13765690973224960
- Binary: 1100001110011111010010101100001000110000000000000000002
- Hexadecimal: 0x30E7D2B08C0000
- Base-36: 3RJJ34PUL8G
Squares and roots of 13765690973224960
- 13765690973224960 squared (137656909732249602) is 189494247970327146411622767001600
- 13765690973224960 cubed (137656909732249603) is 2608519258763184597238729660851966054221479936000
-
The
square root of 13765690973224960 is 117327281.4533131505 -
The
cube root of 13765690973224960 is 239662.0879567943
Scales and comparisons
How big is 13765690973224960?- 13,765,690,973,224,960 seconds is equal to 437,706,392 years, 45 weeks, 1 day, 22 hours, 2 minutes, 40 seconds.
-
To count from 1 to 13,765,690,973,224,960 would take you about one billion, three hundred thirteen million, one hundred nineteen thousand, one hundred seventy-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 13765690973224960 cubic inches would be around 19971.8 feet tall.
Recreational maths with 13765690973224960
- 13765690973224960 backwards is 06942237909656731
- The number of decimal digits it has is: 17
- The sum of 13765690973224960's digits is 79
- More coming soon!
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"Number 13765690973224960 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 13765690973224960 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/13765690973224960/
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The information we have on file for 13765690973224960 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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