13968641428768125
13,968,641,428,768,125 is an odd composite number composed of five prime numbers multiplied together.
13968641428768125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred divisors.
Prime factorization of 13968641428768125:
34 × 54 × 112 × 31 × 4193
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 11 × 31 × 419 × 419 × 419)See below for interesting mathematical facts about the number 13968641428768125 from the Numbermatics database.
Names of 13968641428768125
- Cardinal: 13968641428768125 can be written as Thirteen quadrillion, nine hundred sixty-eight trillion, six hundred forty-one billion, four hundred twenty-eight million, seven hundred sixty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.3968641428768125 × 1016
Factors of 13968641428768125
Divisors of 13968641428768125
- Number of divisors d(n): 600
-
Complete list of divisors:
1 3 5 9 11 15 25 27 31 33 45 55 75 81 93 99 121 125 135 155 165 225 275 279 297 341 363 375 405 419 465 495 605 625 675 775 825 837 891 1023 1089 1125 1257 1375 1395 1485 1705 1815 1875 2025 2095 2325 2475 2511 3025 3069 3267 3375 3751 3771 3875 4125 4185 4455 4609 5115 5445 5625 6285 6875 6975 7425 8525 9075 9207 9801 10125 10475 11253 11313 11625 12375 12555 12989 13827 15125 15345 16335 16875 18755 18855 19375 20625 20925 22275 23045 25575 27225 27621 31425 33759 33939 34875 37125 38967 41481 42625 45375 46035 49005 50625 50699 52375 56265 56565 58125 61875 62775 64945 69135 75625 76725 81675 93775 94275 101277 104625 111375 115225 116901 124443 127875 136125 138105 142879 152097 157125 168795 169695 174375 175561 185625 194835 207405 213125 226875 230175 245025 253495 261875 281325 282825 303831 313875 324725 345675 350703 373329 383625 408375 428637 456291 468875 471375 506385 523125 526683 556875 576125 584505 622215 639375 680625 690525 714395 760485 785625 843975 848475 877805 974175 1037025 1052109 1150875 1225125 1267475 1285911 1368873 1406625 1414125 1519155 1569375 1571669 1580049 1623625 1728375 1753515 1866645 1918125 1931171 2041875 2143185 2281455 2344375 2356875 2531925 2633415 2880625 2922525 3111075 3452625 3571975 3802425 3857733 4106619 4219875 4242375 4389025 4715007 4740147 4870875 5185125 5260545 5442391 5754375 5793513 6125625 6337375 6429555 6844365 7033125 7070625 7595775 7858345 7900245 8118125 8641875 8767575 9333225 9655855 10715925 11407275 11573199 12659625 13167075 14145021 14220441 14612625 15555375 16327173 17263125 17380539 17859875 19012125 19288665 20533095 21099375 21211875 21242881 21945125 23575035 23700735 24354375 25925625 26302725 27211955 28967565 31686875 32147775 34221825 37978875 39291725 39501225 42435063 43837875 46666125 48279275 48981519 52141617 53579625 57036375 57865995 59866301 63298125 63728643 65835375 70725105 71102205 73063125 73560059 77776875 81635865 86902695 89299375 95060625 96443325 102665475 106214405 109725625 117875175 118503675 127305189 131513625 136059775 144837825 146944557 156424851 160738875 171109125 179598903 189894375 191185929 196458625 197506125 212175315 219189375 220680177 233330625 241396375 244907595 260708085 267898125 285181875 289329975 299331505 318643215 329176875 353625525 355511025 367800295 408179325 434513475 440833671 482216625 513327375 531072025 538796709 573557787 589375875 592518375 636525945 657568125 658529311 662040531 680298875 724189125 734722785 782124255 803694375 809160649 855545625 897994515 955929645 982293125 987530625 1060876575 1103400885 1206981875 1224537975 1303540425 1446649875 1496657525 1593216075 1616390127 1720673361 1768127625 1777555125 1839001475 1975587933 1986121593 2040896625 2172567375 2204168355 2280361829 2411083125 2427481947 2566636875 2655360125 2693983545 2867788935 2946879375 2962591875 3182629725 3292646555 3310202655 3401494375 3620945625 3673613925 3910621275 4045803245 4489972575 4779648225 4849170381 5304382875 5517004425 5926763799 5958364779 6122689875 6517702125 6841085487 7233249375 7282445841 7483287625 7966080375 8081950635 8603366805 8840638125 8887775625 8900767139 9195007375 9877939665 9930607965 10204483125 10862836875 11020841775 11401809145 12137409735 13276800625 13469917725 14338944675 15913148625 16463232775 16551013275 17780291397 18368069625 19553106375 20229016225 20523256461 21847337523 22449862875 23898241125 24245851905 25083980119 26521914375 26702301417 27585022125 29633818995 29791823895 30613449375 32588510625 34205427435 36412229205 37416438125 39830401875 40409753175 43016834025 44503835695 45975036875 49389698325 49653039825 53340874191 55104208875 57009045725 60687048675 61569769383 65542012569 67349588625 71694723375 75251940357 79565743125 80106904251 82316163875 82755066375 88901456985 91840348125 97765531875 101145081125 102616282305 109236687615 112249314375 119491205625 121229259525 125419900595 133511507085 137925110625 148169094975 148959119475 171027137175 182061146025 184709308149 202048765875 215084170125 222519178475 225755821071 240320712753 246948491625 248265199125 266704370955 275521044375 275923781309 285045228625 303435243375 307848846915 327710062845 336747943125 358473616875 376259701785 400534521255 411580819375 413775331875 444507284925 505725405625 513081411525 546183438075 606146297625 627099502975 667557535425 677267463213 720962138259 740845474875 744795597375 827771343927 855135685875 910305730125 923546540745 1010243829375 1075420850625 1112595892375 1128779105355 1201603563765 1234742458125 1241325995625 1333521854775 1379618906545 1425226143125 1517176216875 1539244234575 1638550314225 1881298508925 2002672606275 2031802389639 2222536424625 2483314031781 2565407057625 2730917190375 3030731488125 3135497514875 3337787677125 3386337316065 3604810691295 3704227374375 3723977986875 4138856719635 4275678429375 4551528650625 4617732703725 5562979461875 5643895526775 6008017818825 6667609273875 6898094532725 7449942095343 7696221172875 8192751571125 9406492544625 10013363031375 10159011948195 11112682123125 12416570158905 12827035288125 13654585951875 15677487574375 16688938385625 16931686580325 18024053456475 20694283598175 22349826286029 23088663518625 28219477633875 30040089094125 33338046369375 34490472663625 37249710476715 38481105864375 40963757855625 47032462723125 50066815156875 50795059740975 62082850794525 84658432901625 90120267282375 103471417990875 111749131430145 115443317593125 141097388169375 150200445470625 172452363318125 186248552383575 253975298704875 310414253972625 423292164508125 450601336411875 517357089954375 558745657150725 931242761917875 1269876493524375 1552071269863125 2793728285753625 4656213809589375 13968641428768125
- Sum of all divisors σ(n): 29656359220266240
- Sum of proper divisors (its aliquot sum) s(n): 15687717791498115
- 13968641428768125 is an abundant number, because the sum of its proper divisors (15687717791498115) is greater than itself. Its abundance is 1719076362729990
Bases of 13968641428768125
- Binary: 1100011010000001100111110001100101101101000101011111012
- Hexadecimal: 0x31A067C65B457D
- Base-36: 3TJGXA71YT9
Squares and roots of 13968641428768125
- 13968641428768125 squared (139686414287681252) is 195122943365497204578355016015625
- 13968641428768125 cubed (139686414287681253) is 2725602430398460808564023689074211816989501953125
-
The
square root of 13968641428768125 is 118189007.2247335743 -
The
cube root of 13968641428768125 is 240834.1428040495
Scales and comparisons
How big is 13968641428768125?- 13,968,641,428,768,125 seconds is equal to 444,159,589 years, 30 weeks, 4 days, 17 hours, 48 minutes, 45 seconds.
-
To count from 1 to 13,968,641,428,768,125 would take you about one billion, three hundred thirty-two million, four hundred seventy-eight thousand, seven hundred sixty-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 13968641428768125 cubic inches would be around 20069.5 feet tall.
Recreational maths with 13968641428768125
- 13968641428768125 backwards is 52186782414686931
- 13968641428768125 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13968641428768125's digits is 81
- More coming soon!
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