13731445997568
13,731,445,997,568 is an even composite number composed of six prime numbers multiplied together.
What does the number 13731445997568 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13731445997568 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13731445997568:
217 × 33 × 13 × 17 × 97 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 17 × 97 × 181)See below for interesting mathematical facts about the number 13731445997568 from the Numbermatics database.
Names of 13731445997568
- Cardinal: 13731445997568 can be written as Thirteen trillion, seven hundred thirty-one billion, four hundred forty-five million, nine hundred ninety-seven thousand, five hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3731445997568 × 1013
Factors of 13731445997568
Divisors of 13731445997568
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 64 68 72 78 96 97 102 104 108 117 128 136 144 153 156 181 192 194 204 208 216 221 234 256 272 288 291 306 312 351 362 384 388 408 416 432 442 459 468 512 543 544 576 582 612 624 663 702 724 768 776 816 832 864 873 884 918 936 1024 1086 1088 1152 1164 1224 1248 1261 1326 1404 1448 1536 1552 1629 1632 1649 1664 1728 1746 1768 1836 1872 1989 2048 2172 2176 2304 2328 2353 2448 2496 2522 2619 2652 2808 2896 3072 3077 3104 3258 3264 3298 3328 3456 3492 3536 3672 3744 3783 3978 4096 4344 4352 4608 4656 4706 4887 4896 4947 4992 5044 5238 5304 5616 5792 5967 6144 6154 6208 6516 6528 6596 6656 6912 6984 7059 7072 7344 7488 7566 7956 8192 8688 8704 9216 9231 9312 9412 9774 9792 9894 9984 10088 10476 10608 11232 11349 11584 11934 12288 12308 12416 13032 13056 13192 13312 13824 13968 14118 14144 14688 14841 14976 15132 15912 16384 17376 17408 17557 18432 18462 18624 18824 19548 19584 19788 19968 20176 20952 21177 21216 21437 22464 22698 23168 23868 24576 24616 24832 26064 26112 26384 26624 27648 27693 27936 28236 28288 29376 29682 29952 30264 31824 32768 34047 34752 34816 35114 36864 36924 37248 37648 39096 39168 39576 39936 40001 40352 41904 42354 42432 42874 44523 44928 45396 46336 47736 49152 49232 49664 52128 52224 52671 52768 53248 55296 55386 55872 56472 56576 58752 59364 59904 60528 63531 63648 64311 65536 68094 69504 69632 70228 73728 73848 74496 75296 78192 78336 79152 79872 80002 80704 83079 83808 84708 84864 85748 89046 89856 90792 92672 95472 98304 98464 99328 104256 104448 105342 105536 106496 110592 110772 111744 112944 113152 117504 118728 119808 120003 121056 127062 127296 128622 131072 136188 139008 139264 140456 147456 147696 148992 150592 156384 156672 158013 158304 159744 160004 161408 166158 167616 169416 169728 171496 178092 179712 181584 185344 190944 192933 196608 196928 198656 208512 208896 210684 211072 212992 221184 221544 223488 225888 226304 228241 235008 237456 239616 240006 242112 254124 254592 257244 272376 278016 278528 280912 294912 295392 297984 298469 301184 312768 313344 316026 316608 319488 320008 322816 332316 335232 338832 339456 342992 356184 359424 360009 363168 370688 381888 385866 393216 393856 397312 417024 417792 421368 422144 425984 442368 443088 446976 451776 452608 456482 470016 474039 474912 479232 480012 484224 508248 509184 514488 544752 556032 557056 561824 578799 589824 590784 595968 596938 602368 625536 626688 632052 633216 638976 640016 645632 664632 670464 677664 678912 684723 685984 712368 718848 720018 726336 741376 763776 771732 787712 794624 834048 835584 842736 844288 851968 884736 886176 893952 895407 903552 905216 912964 940032 948078 949824 958464 960024 968448 1016496 1018368 1028976 1080027 1089504 1112064 1114112 1123648 1157598 1179648 1181568 1191936 1193876 1204736 1251072 1253376 1264104 1266432 1277952 1280032 1291264 1329264 1340928 1355328 1357824 1369446 1371968 1424736 1437696 1440036 1452672 1482752 1527552 1543464 1575424 1589248 1668096 1671168 1685472 1688576 1703936 1769472 1772352 1787904 1790814 1807104 1810432 1825928 1880064 1896156 1899648 1916928 1920048 1936896 2032992 2036736 2054169 2057952 2160054 2179008 2224128 2228224 2247296 2315196 2363136 2383872 2387752 2409472 2502144 2506752 2528208 2532864 2555904 2560064 2582528 2658528 2681856 2686221 2710656 2715648 2738892 2743936 2849472 2875392 2880072 2905344 2965504 3055104 3086928 3150848 3178496 3336192 3342336 3370944 3377152 3538944 3544704 3575808 3581628 3614208 3620864 3651856 3760128 3792312 3799296 3833856 3840096 3873792 3880097 4065984 4073472 4108338 4115904 4320108 4358016 4448256 4494592 4630392 4726272 4767744 4775504 4818944 5004288 5013504 5056416 5065728 5111808 5120128 5165056 5317056 5363712 5372442 5421312 5431296 5477784 5487872 5698944 5750784 5760144 5810688 5931008 6110208 6162507 6173856 6301696 6356992 6672384 6684672 6741888 6754304 7089408 7151616 7163256 7228416 7241728 7303712 7520256 7584624 7598592 7667712 7680192 7747584 7760194 8058663 8131968 8146944 8216676 8231808 8640216 8716032 8896512 8989184 9260784 9452544 9535488 9551008 9637888 10008576 10027008 10112832 10131456 10240256 10330112 10634112 10727424 10744884 10842624 10862592 10955568 10975744 11397888 11501568 11520288 11621376 11640291 11862016 12220416 12325014 12347712 12603392 12713984 13344768 13483776 13508608 14178816 14303232 14326512 14456832 14483456 14607424 15040512 15169248 15197184 15335424 15360384 15495168 15520388 16117326 16263936 16293888 16433352 16463616 17280432 17432064 17793024 17978368 18521568 18905088 19070976 19102016 19275776 20017152 20054016 20225664 20262912 20480512 20660224 21268224 21454848 21489768 21685248 21725184 21911136 21951488 22795776 23003136 23040576 23242752 23280582 23724032 24440832 24650028 24695424 25206784 26689536 26967552 27017216 28357632 28606464 28653024 28913664 28966912 29214848 30081024 30338496 30394368 30720768 30990336 31040776 32234652 32527872 32587776 32866704 32927232 34560864 34864128 34920873 35586048 35956736 37043136 37810176 38141952 38204032 38551552 40034304 40451328 40525824 40961024 41320448 42536448 42909696 42979536 43370496 43450368 43822272 43902976 45591552 46006272 46081152 46485504 46561164 48881664 49300056 49390848 50413568 53379072 53935104 54034432 56715264 57212928 57306048 57827328 58429696 60162048 60676992 60788736 61441536 61980672 62081552 64469304 65055744 65175552 65733408 65854464 69121728 69728256 69841746 71172096 71913472 74086272 75620352 76408064 77103104 80068608 80902656 81051648 81922048 82640896 85072896 85819392 85959072 86740992 86900736 87644544 87805952 91183104 92162304 92971008 93122328 97763328 98600112 98781696 100827136 104762619 106758144 107870208 108068864 113430528 114425856 114612096 115654656 116859392 121353984 121577472 122883072 123961344 124163104 128938608 130111488 130351104 131466816 131708928 138243456 139456512 139683492 143826944 148172544 151240704 152816128 154206208 160137216 161805312 162103296 163844096 165281792 170145792 171638784 171918144 173481984 175289088 175611904 182366208 184324608 185942016 186244656 195526656 197200224 197563392 201654272 209525238 213516288 215740416 216137728 226861056 229224192 231309312 233718784 242707968 243154944 245766144 247922688 248326208 257877216 260222976 260702208 262933632 263417856 276486912 278913024 279366984 287653888 296345088 302481408 305632256 308412416 320274432 323610624 324206592 327688192 340291584 343277568 343836288 346963968 350578176 351223808 364732416 368649216 371884032 372489312 391053312 394400448 395126784 403308544 419050476 431480832 453722112 458448384 462618624 467437568 485415936 486309888 491532288 495845376 496652416 515754432 520445952 525867264 526835712 552973824 557826048 558733968 575307776 592690176 604962816 611264512 640548864 647221248 648413184 655376384 680583168 687672576 693927936 701156352 702447616 729464832 737298432 743768064 744978624 782106624 788800896 790253568 838100952 862961664 907444224 916896768 925237248 934875136 970831872 972619776 983064576 993304832 1031508864 1040891904 1051734528 1053671424 1105947648 1115652096 1117467936 1150615552 1185380352 1209925632 1222529024 1294442496 1310752768 1361166336 1375345152 1387855872 1402312704 1404895232 1458929664 1474596864 1487536128 1489957248 1577601792 1580507136 1676201904 1725923328 1814888448 1833793536 1869750272 1941663744 1945239552 1966129152 1986609664 2063017728 2081783808 2103469056 2107342848 2211895296 2231304192 2234935872 2301231104 2370760704 2445058048 2588884992 2621505536 2722332672 2750690304 2775711744 2804625408 2809790464 2917859328 2949193728 2979914496 3155203584 3161014272 3352403808 3451846656 3629776896 3667587072 3739500544 3883327488 3932258304 3973219328 4126035456 4163567616 4206938112 4214685696 4423790592 4462608384 4469871744 4741521408 4890116096 5177769984 5243011072 5444665344 5501380608 5609250816 5835718656 5898387456 5959828992 6310407168 6322028544 6704807616 6903693312 7335174144 7479001088 7766654976 7864516608 7946438656 8252070912 8327135232 8413876224 8429371392 8847581184 8939743488 9483042816 9780232192 10355539968 10889330688 11002761216 11218501632 11796774912 11919657984 12620814336 12644057088 13409615232 14670348288 14958002176 15533309952 15729033216 15892877312 16504141824 16827752448 17695162368 17879486976 18966085632 19560464384 20711079936 22005522432 22437003264 23593549824 23839315968 25241628672 25288114176 26819230464 29340696576 29916004352 31066619904 31785754624 33008283648 33655504896 35390324736 35758973952 37932171264 39120928768 44011044864 44874006528 47187099648 47678631936 50483257344 53638460928 58681393152 62133239808 63571509248 66016567296 67311009792 70780649472 71517947904 75864342528 88022089728 89748013056 95357263872 100966514688 107276921856 117362786304 127143018496 132033134592 134622019584 141561298944 143035895808 176044179456 190714527744 201933029376 214553843712 254286036992 264066269184 269244039168 286071791616 352088358912 381429055488 403866058752 429107687424 508572073984 528132538368 572143583232 762858110976 807732117504 858215374848 1056265076736 1144287166464 1525716221952 1716430749696 2288574332928 3432861499392 4577148665856 6865722998784 13731445997568
- Sum of all divisors σ(n): 47129872083840
- Sum of proper divisors (its aliquot sum) s(n): 33398426086272
- 13731445997568 is an abundant number, because the sum of its proper divisors (33398426086272) is greater than itself. Its abundance is 19666980088704
Bases of 13731445997568
- Binary: 110001111101000110011111011000000000000000002
- Hexadecimal: 0xC7D19F60000
- Base-36: 4V850ETC0
Squares and roots of 13731445997568
- 13731445997568 squared (137314459975682) is 188552609184126246661914624
- 13731445997568 cubed (137314459975683) is 2589099970712373667684965884184527634432
-
The
square root of 13731445997568 is 3705596.5778222539 -
The
cube root of 13731445997568 is 23946.3186753287
Scales and comparisons
How big is 13731445997568?- 13,731,445,997,568 seconds is equal to 436,617 years, 26 weeks, 3 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 13,731,445,997,568 would take you about one million, ninety-one thousand, five hundred forty-three 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 13731445997568 cubic inches would be around 1995.5 feet tall.
Recreational maths with 13731445997568
- 13731445997568 backwards is 86579954413731
- 13731445997568 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13731445997568's digits is 72
- More coming soon!
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The information we have on file for 13731445997568 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 13731445997568, math, Factors of 13731445997568, curriculum, school, college, exams, university, Prime factorization of 13731445997568, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, seven hundred thirty-one billion, four hundred forty-five million, nine hundred ninety-seven thousand, five hundred sixty-eight.