13637820123325728
13,637,820,123,325,728 is an even composite number composed of five prime numbers multiplied together.
What does the number 13637820123325728 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1890 divisors.
13637820123325728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 13637820123325728:
25 × 36 × 114 × 712 × 892
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 11 × 71 × 71 × 89 × 89)See below for interesting mathematical facts about the number 13637820123325728 from the Numbermatics database.
Names of 13637820123325728
- Cardinal: 13637820123325728 can be written as Thirteen quadrillion, six hundred thirty-seven trillion, eight hundred twenty billion, one hundred twenty-three million, three hundred twenty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3637820123325728 × 1016
Factors of 13637820123325728
Divisors of 13637820123325728
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 71 72 81 88 89 96 99 108 121 132 142 144 162 176 178 198 213 216 242 243 264 267 284 288 297 324 352 356 363 396 426 432 484 486 528 534 568 594 639 648 712 726 729 781 792 801 852 864 891 968 972 979 1056 1068 1089 1136 1188 1278 1296 1331 1424 1452 1458 1562 1584 1602 1704 1782 1917 1936 1944 1958 2136 2178 2272 2343 2376 2403 2556 2592 2662 2673 2848 2904 2916 2937 3124 3168 3204 3267 3408 3564 3834 3872 3888 3916 3993 4272 4356 4686 4752 4806 5041 5112 5324 5346 5751 5808 5832 5874 6248 6319 6408 6534 6816 7029 7128 7209 7668 7776 7832 7921 7986 8019 8544 8591 8712 8811 9372 9504 9612 9801 10082 10224 10648 10692 10769 11502 11616 11664 11748 11979 12496 12638 12816 13068 14058 14256 14418 14641 15123 15336 15664 15842 15972 16038 17182 17253 17424 17622 18744 18957 19224 19602 20164 20448 21087 21296 21384 21538 21627 23004 23328 23496 23763 23958 24992 25276 25632 25773 26136 26433 28116 28512 28836 29282 29403 30246 30672 31328 31684 31944 32076 32307 34364 34506 34848 35244 35937 37488 37914 38448 39204 40328 42174 42592 42768 43076 43254 43923 45369 46008 46992 47526 47916 50552 51546 51759 52272 52866 55451 56232 56871 57672 58564 58806 60492 61344 63261 63368 63888 64152 64614 64881 68728 69012 69509 70488 71289 71874 74976 75828 76896 77319 78408 79299 80656 84348 85536 86152 86508 87131 87846 88209 90738 92016 93984 94501 95052 95832 96921 101104 103092 103518 104544 105732 107811 110902 112464 113742 115344 117128 117612 118459 120984 126522 126736 127776 128304 129228 129762 131769 136107 137456 138024 139018 140976 142578 143748 151656 154638 156816 158598 161312 166353 168696 170613 172304 173016 174262 175692 176418 181476 184032 189002 189783 190104 191664 193842 202208 206184 207036 208527 211464 213867 215622 221804 224928 227484 230688 231957 234256 235224 236918 237897 241968 253044 253472 256608 258456 259524 261393 263538 272214 274912 276048 278036 281952 283503 285156 287496 290763 303312 309276 313632 317196 323433 332706 337392 341226 344608 346032 348524 351384 352836 355377 362952 378004 379566 380208 383328 387684 395307 408321 412368 414072 417054 422928 427734 431244 443608 448649 454968 463914 468512 470448 473836 475794 483936 499059 506088 511839 516912 519048 522786 527076 544428 552096 556072 562391 567006 569349 570312 574992 581526 606624 609961 618552 625581 634392 641601 646866 665412 674784 682452 692064 695871 697048 702768 705672 710754 713691 725904 756008 759132 760416 764599 775368 784179 790614 816642 824736 828144 834108 845856 850509 855468 862488 872289 887216 897298 909936 927828 940896 947672 951588 958441 970299 998118 1012176 1023678 1033824 1038096 1039511 1045572 1054152 1066131 1088856 1112144 1124782 1134012 1138698 1140624 1149984 1163052 1185921 1219922 1224963 1237104 1251162 1268784 1283202 1293732 1303049 1330824 1345947 1364904 1391742 1394096 1405536 1411344 1421508 1427382 1451808 1497177 1512016 1518264 1529198 1535517 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14055275872 14229170208 14331643656 14390865324 14494503243 14698651176 14987669598 15198763536 15371476758 15634520352 15812185356 15941940696 16034892192 16123099113 16350185016 16467933262 16535982573 16699875984 17249656752 17391208032 17588835396 17836565472 17934683283 17965018104 18039253716 18787360482 19108858208 19187820432 19326004324 19405863846 19565109036 19598201568 19706010027 19983559464 20210645367 20495302344 21082913808 21255920928 21497465484 21800246688 22047976764 22358511648 22481504397 23451780528 23718278034 23912911044 23953357472 24052338288 24249712608 24525277524 24701899893 25049813976 25874485128 26086812048 26274680036 26383253094 26644745952 26947527156 27327069792 28181040723 28663287312 28781730648 28989006486 29108795769 29397302352 29975339196 30397527072 30742953516 31624370712 31883881392 32246198226 32700370032 32935866524 33071965146 33399751968 34499313504 35177670792 35577417051 35869366566 35930036208 36078507432 37574720964 38375640864 38652008648 38811727692 39130218072 39412020054 39574879641 39967118928 40421290734 40990604688 42165827616 42994930968 43483509729 44095953528 44963008794 46903561056 47436556068 47825822088 48104676576 48369297339 49050555048 49403799786 49607947719 50099627952 51748970256 52173624096 52549360072 52766506188 53146511891 53804049849 53895054312 56362081446 57326574624 57563461296 57978012972 58217591538 58794604704 59118030081 59950678392 60631936101 61485907032 63248741424 63767762784 64492396452 65400740064 65871733048 66143930292 67444513191 70355341584 71154834102 71738733132 71860072416 72157014864 74105699679 75149441928 77304017296 77623455384 78260436144 78824040108 79149759282 79934237856 80842581468 81981209376 84543122169 85989861936 86967019458 88191907056 89926017588 94873112136 95651644176 96738594678 98101110096 98807599572 99215895438 100199255904 103497940512 105098720144 105533012376 106293023782 106732251153 107608099698 107790108624 112724162892 115126922592 115956025944 116435183076 118236060162 119901356784 121263872202 122971814064 126497482848 128984792904 130450529187 131743466096 132287860584 134889026382 140710683168 142309668204 143477466264 144314029728 145107892017 148211399358 150298883856 154608034592 155246910768 156520872288 157648080216 158299518564 159439535673 161685162936 169086244338 171979723872 173934038916 176383814112 177354090243 179852035176 181895808303 189746224272 191303288352 193477189356 196202220192 197615199144 198431790876 210197440288 211066024752 212586047564 213464502306 215216199396 215580217248 222317099037 225448325784 231912051888 232870366152 236472120324 239802713568 242527744404 245943628128 257969585808 260901058374 263486932192 264575721168 269778052764 284619336408 286954932528 290215784034 296422798716 300597767712 310493821536 315296160432 316599037128 318879071346 320196753459 323370325872 338172488676 347868077832 354708180486 359704070352 363791616606 379492448544 386954378712 391351587561 395230398288 396863581752 422132049504 425172095128 426929004612 430432398792 435323676051 444634198074 450896651568 463824103776 465740732304 472944240648 478318607019 485055488808 515939171616 521802116748 529151442336 532062270729 539556105528 545687424909 569238672816 573909865056 580431568068 584611630801 592845597432 630592320864 633198074256 637758142692 640393506918 646740651744 666951297111 676344977352 695736155664 709416360972 719408140704 727583233212 773908757424 782703175122 790460796576 793727163504 850344190256 853858009224 860864797584 870647352102 889268396148 901793303136 931481464608 945888481296 956637214038 970110977616 1043604233496 1064124541458 1079112211056 1091374849818 1138477345632 1160863136136 1169223261602 1174054762683 1185691194864 1266396148512 1275516285384 1280787013836 1333902594222 1352689954704 1391472311328 1418832721944 1434955821057 1455166466424 1547817514848 1565406350244 1587454327008 1596186812187 1700688380512 1707716018448 1721729595168 1741294704204 1753834892403 1778536792296 1891776962592 1913274428076 1940221955232 2000853891333 2087208466992 2128249082916 2158224422112 2182749699636 2321726272272 2338446523204 2348109525366 2371382389728 2551032570768 2561574027672 2667805188444 2705379909408 2837665443888 2869911642114 2910332932848 3130812700488 3192373624374 3415432036896 3482589408408 3507669784806 3522164288049 3557073584592 3826548856152 4001707782666 4174416933984 4256498165832 4304867463171 4365499399272 4643452544544 4676893046408 4696219050732 4788560436561 5102065141536 5123148055344 5261504677209 5335610376888 5675330887776 5739823284228 5820665865696 6002561673999 6261625400976 6384747248748 6965178816816 7015339569612 7044328576098 7114147169184 7653097712304 8003415565332 8512996331664 8609734926342 8730998798544 9353786092816 9392438101464 9577120873122 10246296110688 10523009354418 10671220753776 11479646568456 12005123347998 12523250801952 12769494497496 12914602389513 13930357633632 14030679139224 14088657152196 15306195424608 15784514031627 16006831130664 17025992663328 17219469852684 17461997597088 18707572185632 18784876202928 19154241746244 21046018708836 21342441507552 22959293136912 24010246695996 25538988994992 25829204779026 28061358278448 28177314304392 31569028063254 32013662261328 34438939705368 37569752405856 38308483492488 38743807168539 42092037417672 45918586273824 47353542094881 48020493391992 51077977989984 51658409558052 56122716556896 56354628608784 63138056126508 64027324522656 68877879410736 76616966984976 77487614337078 84184074835344 94707084189762 96040986783984 103316819116104 112709257217568 126276112253016 137755758821472 142060626284643 153233933969952 154975228674156 168368149670688 189414168379524 192081973567968 206633638232208 252552224506032 284121252569286 309950457348312 378828336759048 413267276464416 426181878853929 505104449012064 568242505138572 619900914696624 757656673518096 852363757707858 1136485010277144 1239801829393248 1515313347036192 1704727515415716 2272970020554288 3409455030831432 4545940041108576 6818910061662864 13637820123325728
- Sum of all divisors σ(n): 45423852507929385
- Sum of proper divisors (its aliquot sum) s(n): 31786032384603657
- 13637820123325728 is an abundant number, because the sum of its proper divisors (31786032384603657) is greater than itself. Its abundance is 18148212261277929
Bases of 13637820123325728
- Binary: 1100000111001110000110011011111111011000100101001000002
- Hexadecimal: 0x3073866FF62520
- Base-36: 3QA7C2NCI00
Squares and roots of 13637820123325728
- 13637820123325728 squared (136378201233257282) is 185990137716188174875155186729984
- 13637820123325728 cubed (136378201233257283) is 2536500042885954549745052960159732911331216228352
-
The
square root of 13637820123325728 is 116781077.7623058589 -
The
cube root of 13637820123325728 is 238917.6967434625
Scales and comparisons
How big is 13637820123325728?- 13,637,820,123,325,728 seconds is equal to 433,640,495 years, 19 weeks, 3 days, 6 hours, 28 minutes, 48 seconds.
-
To count from 1 to 13,637,820,123,325,728 would take you about one billion, three hundred million, nine hundred twenty-one thousand, four hundred eighty-six 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 13637820123325728 cubic inches would be around 19909.8 feet tall.
Recreational maths with 13637820123325728
- 13637820123325728 backwards is 82752332102873631
- The number of decimal digits it has is: 17
- The sum of 13637820123325728's digits is 63
- More coming soon!
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"Number 13637820123325728 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 13637820123325728 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/13637820123325728/
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Numbermatics. 2024. "Number 13637820123325728 - Facts about the integer". https://numbermatics.com/n/13637820123325728/
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