13824849101488128
13,824,849,101,488,128 is an even composite number composed of three prime numbers multiplied together.
What does the number 13824849101488128 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 1008 divisors.
13824849101488128 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13824849101488128:
215 × 320 × 112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11)See below for interesting mathematical facts about the number 13824849101488128 from the Numbermatics database.
Names of 13824849101488128
- Cardinal: 13824849101488128 can be written as Thirteen quadrillion, eight hundred twenty-four trillion, eight hundred forty-nine billion, one hundred one million, four hundred eighty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3824849101488128 × 1016
Factors of 13824849101488128
Divisors of 13824849101488128
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 121 128 132 144 162 176 192 198 216 242 243 256 264 288 297 324 352 363 384 396 432 484 486 512 528 576 594 648 704 726 729 768 792 864 891 968 972 1024 1056 1089 1152 1188 1296 1408 1452 1458 1536 1584 1728 1782 1936 1944 2048 2112 2178 2187 2304 2376 2592 2673 2816 2904 2916 3072 3168 3267 3456 3564 3872 3888 4096 4224 4356 4374 4608 4752 5184 5346 5632 5808 5832 6144 6336 6534 6561 6912 7128 7744 7776 8019 8192 8448 8712 8748 9216 9504 9801 10368 10692 11264 11616 11664 12288 12672 13068 13122 13824 14256 15488 15552 16038 16384 16896 17424 17496 18432 19008 19602 19683 20736 21384 22528 23232 23328 24057 24576 25344 26136 26244 27648 28512 29403 30976 31104 32076 32768 33792 34848 34992 36864 38016 39204 39366 41472 42768 45056 46464 46656 48114 49152 50688 52272 52488 55296 57024 58806 59049 61952 62208 64152 67584 69696 69984 72171 73728 76032 78408 78732 82944 85536 88209 90112 92928 93312 96228 98304 101376 104544 104976 110592 114048 117612 118098 123904 124416 128304 135168 139392 139968 144342 147456 152064 156816 157464 165888 171072 176418 177147 180224 185856 186624 192456 202752 209088 209952 216513 221184 228096 235224 236196 247808 248832 256608 264627 270336 278784 279936 288684 294912 304128 313632 314928 331776 342144 352836 354294 360448 371712 373248 384912 405504 418176 419904 433026 442368 456192 470448 472392 495616 497664 513216 529254 531441 540672 557568 559872 577368 608256 627264 629856 649539 663552 684288 705672 708588 743424 746496 769824 793881 811008 836352 839808 866052 884736 912384 940896 944784 991232 995328 1026432 1058508 1062882 1081344 1115136 1119744 1154736 1216512 1254528 1259712 1299078 1327104 1368576 1411344 1417176 1486848 1492992 1539648 1587762 1594323 1622016 1672704 1679616 1732104 1824768 1881792 1889568 1948617 1982464 1990656 2052864 2117016 2125764 2230272 2239488 2309472 2381643 2433024 2509056 2519424 2598156 2654208 2737152 2822688 2834352 2973696 2985984 3079296 3175524 3188646 3244032 3345408 3359232 3464208 3649536 3763584 3779136 3897234 3964928 3981312 4105728 4234032 4251528 4460544 4478976 4618944 4763286 4782969 4866048 5018112 5038848 5196312 5474304 5645376 5668704 5845851 5947392 5971968 6158592 6351048 6377292 6690816 6718464 6928416 7144929 7299072 7527168 7558272 7794468 7962624 8211456 8468064 8503056 8921088 8957952 9237888 9526572 9565938 9732096 10036224 10077696 10392624 10948608 11290752 11337408 11691702 11894784 11943936 12317184 12702096 12754584 13381632 13436928 13856832 14289858 14348907 14598144 15054336 15116544 15588936 16422912 16936128 17006112 17537553 17842176 17915904 18475776 19053144 19131876 20072448 20155392 20785248 21434787 21897216 22581504 22674816 23383404 23887872 24634368 25404192 25509168 26763264 26873856 27713664 28579716 28697814 29196288 30108672 30233088 31177872 32845824 33872256 34012224 35075106 35684352 35831808 36951552 38106288 38263752 40144896 40310784 41570496 42869574 43046721 43794432 45163008 45349632 46766808 49268736 50808384 51018336 52612659 53526528 53747712 55427328 57159432 57395628 60217344 60466176 62355744 64304361 65691648 67744512 68024448 70150212 71663616 73903104 76212576 76527504 80289792 80621568 83140992 85739148 86093442 87588864 90326016 90699264 93533616 98537472 101616768 102036672 105225318 107053056 107495424 110854656 114318864 114791256 120434688 120932352 124711488 128608722 129140163 131383296 135489024 136048896 140300424 147806208 152425152 153055008 157837977 160579584 161243136 166281984 171478296 172186884 180652032 181398528 187067232 192913083 197074944 203233536 204073344 210450636 214990848 221709312 228637728 229582512 240869376 241864704 249422976 257217444 258280326 262766592 270978048 272097792 280600848 295612416 304850304 306110016 315675954 321159168 322486272 332563968 342956592 344373768 361304064 362797056 374134464 385826166 387420489 394149888 406467072 408146688 420901272 443418624 457275456 459165024 473513931 481738752 483729408 498845952 514434888 516560652 541956096 544195584 561201696 578739249 591224832 609700608 612220032 631351908 644972544 665127936 685913184 688747536 722608128 725594112 748268928 771652332 774840978 788299776 812934144 816293376 841802544 886837248 914550912 918330048 947027862 963477504 967458816 997691904 1028869776 1033121304 1083912192 1088391168 1122403392 1157478498 1162261467 1182449664 1219401216 1224440064 1262703816 1330255872 1371826368 1377495072 1420541793 1445216256 1451188224 1496537856 1543304664 1549681956 1625868288 1632586752 1683605088 1736217747 1773674496 1829101824 1836660096 1894055724 1934917632 1995383808 2057739552 2066242608 2167824384 2176782336 2244806784 2314956996 2324522934 2364899328 2438802432 2448880128 2525407632 2660511744 2743652736 2754990144 2841083586 2890432512 2902376448 2993075712 3086609328 3099363912 3251736576 3265173504 3367210176 3472435494 3486784401 3547348992 3658203648 3673320192 3788111448 3990767616 4115479104 4132485216 4261625379 4335648768 4353564672 4489613568 4629913992 4649045868 4877604864 4897760256 5050815264 5208653241 5321023488 5487305472 5509980288 5682167172 5804752896 5986151424 6173218656 6198727824 6503473152 6530347008 6734420352 6944870988 6973568802 7094697984 7316407296 7346640384 7576222896 7981535232 8230958208 8264970432 8523250758 8671297536 8707129344 8979227136 9259827984 9298091736 9755209728 9795520512 10101630528 10417306482 10642046976 10974610944 11019960576 11364334344 11972302848 12346437312 12397455648 12784876137 13006946304 13060694016 13468840704 13889741976 13947137604 14632814592 14693280768 15152445792 15625959723 15963070464 16461916416 16529940864 17046501516 17414258688 17958454272 18519655968 18596183472 19510419456 19591041024 20203261056 20834612964 21284093952 21949221888 22039921152 22728668688 23944605696 24692874624 24794911296 25569752274 26013892608 26121388032 26937681408 27779483952 27894275208 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223154201664 234125033472 235092492288 242439132672 250015355568 263390662656 264479053824 272744024256 281267275014 287335268352 296314495488 297538935552 306837027288 323252176896 333353807424 351187550208 352638738432 363658699008 375023033352 395085993984 396718580736 409116036384 421900912521 431002902528 444471743232 446308403328 470184984576 484878265344 500030711136 526781325312 528958107648 545488048512 562534550028 574670536704 592628990976 595077871104 613674054576 646504353792 666707614848 702375100416 705277476864 727317398016 750046066704 790171987968 793437161472 818232072768 843801825042 862005805056 888943486464 892616806656 969756530688 1000061422272 1053562650624 1057916215296 1090976097024 1125069100056 1185257981952 1190155742208 1227348109152 1293008707584 1333415229696 1410554953728 1454634796032 1500092133408 1580343975936 1586874322944 1636464145536 1687603650084 1724011610112 1777886972928 1785233613312 1939513061376 2000122844544 2107125301248 2115832430592 2181952194048 2250138200112 2370515963904 2380311484416 2454696218304 2586017415168 2666830459392 2909269592064 3000184266816 3160687951872 3173748645888 3272928291072 3375207300168 3555773945856 3570467226624 3879026122752 4000245689088 4231664861184 4363904388096 4500276400224 4741031927808 4760622968832 4909392436608 5172034830336 5333660918784 5818539184128 6000368533632 6321375903744 6347497291776 6545856582144 6750414600336 7111547891712 7140934453248 7758052245504 8000491378176 8727808776192 9000552800448 9482063855616 9521245937664 9818784873216 10667321837568 11637078368256 12000737067264 12694994583552 13091713164288 13500829200672 14223095783424 14281868906496 15516104491008 16000982756352 17455617552384 18001105600896 18964127711232 19042491875328 19637569746432 21334643675136 23274156736512 24001474134528 26183426328576 27001658401344 28446191566848 28563737812992 32001965512704 34911235104768 36002211201792 38084983750656 39275139492864 42669287350272 46548313473024 48002948269056 52366852657152 54003316802688 56892383133696 57127475625984 64003931025408 69822470209536 72004422403584 78550278985728 85338574700544 96005896538112 104733705314304 108006633605376 114254951251968 128007862050816 139644940419072 144008844807168 157100557971456 170677149401088 192011793076224 209467410628608 216013267210752 256015724101632 288017689614336 314201115942912 384023586152448 418934821257216 432026534421504 512031448203264 576035379228672 628402231885824 768047172304896 864053068843008 1152070758457344 1256804463771648 1536094344609792 1728106137686016 2304141516914688 3456212275372032 4608283033829376 6912424550744064 13824849101488128
- Sum of all divisors σ(n): 45587029931689155
- Sum of proper divisors (its aliquot sum) s(n): 31762180830201027
- 13824849101488128 is an abundant number, because the sum of its proper divisors (31762180830201027) is greater than itself. Its abundance is 17937331728712899
Bases of 13824849101488128
- Binary: 1100010001110110100000100000111100010010000000000000002
- Hexadecimal: 0x311DA083C48000
- Base-36: 3S4I0000000
Squares and roots of 13824849101488128
- 13824849101488128 squared (138248491014881282) is 191126452678917100085184124944384
- 13824849101488128 cubed (138248491014881283) is 2642294367588740285859439219387219573939636273152
-
The
square root of 13824849101488128 is 117579118.4755529965 -
The
cube root of 13824849101488128 is 240004.9136811583
Scales and comparisons
How big is 13824849101488128?- 13,824,849,101,488,128 seconds is equal to 439,587,438 years, 18 weeks, 5 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 13,824,849,101,488,128 would take you about one billion, three hundred eighteen million, seven hundred sixty-two thousand, three hundred fifteen 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 13824849101488128 cubic inches would be around 20000.4 feet tall.
Recreational maths with 13824849101488128
- 13824849101488128 backwards is 82188410194842831
- 13824849101488128 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13824849101488128's digits is 72
- More coming soon!
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The information we have on file for 13824849101488128 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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