138966422506256016
138,966,422,506,256,016 is an even composite number composed of five prime numbers multiplied together.
138966422506256016 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred seventy-five divisors.
Prime factorization of 138966422506256016:
24 × 32 × 76 × 412 × 474
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 41 × 41 × 47 × 47 × 47 × 47)See below for interesting mathematical facts about the number 138966422506256016 from the Numbermatics database.
Names of 138966422506256016
- Cardinal: 138966422506256016 can be written as One hundred thirty-eight quadrillion, nine hundred sixty-six trillion, four hundred twenty-two billion, five hundred six million, two hundred fifty-six thousand and sixteen.
Scientific notation
- Scientific notation: 1.38966422506256016 × 1017
Factors of 138966422506256016
Divisors of 138966422506256016
- Number of divisors d(n): 1575
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 47 48 49 56 63 72 82 84 94 98 112 123 126 141 144 147 164 168 188 196 246 252 282 287 294 328 329 336 343 369 376 392 423 441 492 504 564 574 588 656 658 686 738 752 784 846 861 882 984 987 1008 1029 1128 1148 1176 1316 1372 1476 1681 1692 1722 1764 1927 1968 1974 2009 2058 2209 2256 2296 2303 2352 2401 2583 2632 2744 2952 2961 3087 3362 3384 3444 3528 3854 3948 4018 4116 4418 4592 4606 4802 5043 5166 5264 5488 5781 5904 5922 6027 6174 6627 6724 6768 6888 6909 7056 7203 7708 7896 8036 8232 8836 9212 9604 10086 10332 11562 11767 11844 12054 12348 13254 13448 13489 13776 13818 14063 14406 15129 15416 15463 15792 16072 16121 16464 16807 17343 17672 18081 18424 19208 19881 20172 20664 20727 21609 23124 23534 23688 24108 24696 26508 26896 26978 27636 28126 28812 30258 30832 30926 32144 32242 33614 34686 35301 35344 36162 36848 38416 39762 40344 40467 41328 41454 42189 43218 46248 46389 47068 47376 48216 48363 49392 50421 53016 53956 55272 56252 57624 60516 61852 64484 67228 69372 70602 72324 79007 79524 80688 80934 82369 82908 84378 86436 90569 92496 92778 94136 94423 96432 96726 98441 100842 103823 105903 106032 107912 108241 110544 112504 112847 115248 117649 121032 121401 123704 126567 128968 134456 138744 139167 141204 144648 145089 151263 158014 159048 161868 164738 165816 168756 172872 181138 185556 188272 188846 193452 196882 201684 207646 211806 215824 216482 225008 225694 235298 237021 242064 242802 247107 247408 253134 257936 268912 271707 277488 278334 282408 283269 289296 290178 295323 302526 311469 316028 318096 323736 324723 329476 331632 337512 338541 345744 352947 362276 371112 377692 386904 393764 403368 415292 423612 432964 451388 470596 474042 485604 494214 506268 543414 553049 556668 564816 566538 576583 580356 590646 605052 622938 632056 633983 647472 649446 658952 660961 675024 677082 689087 705894 711063 724552 726761 741321 742224 755384 757687 773808 787528 789929 806736 815121 830584 847224 849807 865928 885969 902776 934407 941192 948084 971208 974169 988428 1012536 1015623 1058841 1086828 1106098 1113336 1133076 1153166 1160712 1181292 1210104 1245876 1264112 1267966 1298892 1317904 1321922 1354164 1378174 1411788 1422126 1449104 1453522 1482642 1510768 1515374 1575056 1579858 1630242 1659147 1661168 1694448 1699614 1729749 1731856 1771938 1805552 1868814 1882384 1896168 1901949 1942416 1948338 1976856 1982883 2025072 2031246 2067261 2117682 2173656 2180283 2212196 2226672 2266152 2273061 2306332 2321424 2362584 2369787 2420208 2491752 2535932 2597784 2643844 2708328 2756348 2823576 2844252 2907044 2965284 3030748 3159716 3260484 3318294 3399228 3459498 3543876 3713329 3737628 3792336 3803898 3871343 3896676 3953712 3965766 4036081 4062492 4134522 4235364 4256743 4347312 4360566 4424392 4437881 4532304 4546122 4612664 4626727 4725168 4739574 4823609 4879681 4977441 4983504 5071864 5087327 5189247 5195568 5287688 5303809 5416656 5512696 5529503 5647152 5688504 5705847 5814088 5930568 5948649 6061496 6201783 6319432 6520968 6540849 6636588 6798456 6819183 6918996 7087752 7109361 7426658 7475256 7607796 7742686 7793352 7931532 8072162 8124984 8269044 8470728 8513486 8721132 8848784 8875762 9092244 9225328 9253454 9479148 9647218 9759362 9954882 10143728 10174654 10378494 10575376 10607618 11025392 11059006 11139987 11377008 11411694 11614029 11628176 11861136 11897298 12108243 12122992 12403566 12638864 12770229 13041936 13081698 13273176 13313643 13596912 13638366 13837992 13880181 14175504 14218722 14470827 14639043 14853316 14950512 15215592 15261981 15485372 15586704 15863064 15911427 16144324 16249968 16538088 16588509 16941456 17026972 17442264 17751524 18184488 18506908 18958296 19294436 19518724 19909764 20349308 20756988 21215236 22118012 22279974 22823388 23228058 23794596 24216486 24807132 25540458 25993303 26163396 26546352 26627286 27099401 27276732 27675984 27760362 28252567 28437444 28941654 29278086 29706632 29797201 30431184 30523962 30970744 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803868888578 823475446836 838076075326 843560213832 858516955212 873738887042 879456393144 918707301232 957801228944 960721354642 984153582804 998558728048 1001603114414 1033545713886 1077526382562 1097967262448 1123378569054 1144689273616 1148179179938 1181195101584 1205803332867 1231458722928 1235213170254 1257114112989 1283861221776 1287775432818 1310608330563 1312204777072 1338493614192 1378060951848 1411672194576 1436701843416 1441082031963 1471743351792 1476230374206 1497838092072 1502404671621 1534370728464 1607737777156 1646950893672 1676152150652 1687120427664 1717033910424 1722268769907 1747477774084 1758912786288 1921442709284 1968307165608 2003206228828 2067091427772 2155052765124 2246757138108 2296358359876 2411606665734 2470426340508 2514228225978 2575550865636 2621216661126 2756121903696 2813541110023 2873403686832 2882164063926 2933266263641 2952460748412 2995676184144 3004809343242 3215475554312 3293901787344 3352304301304 3362524741247 3434067820848 3444537539814 3494955548168 3617409998601 3771342338967 3842885418568 3931824991689 3936614331216 4006412457656 4134182855544 4310105530248 4323246095889 4493514276216 4507214014863 4592716719752 4823213331468 4940852681016 5028456451956 5151101731272 5166806309721 5242433322252 5627082220046 5764328127852 5866532527282 5904921496824 6009618686484 6430951108624 6704608602608 6725049482494 6889075079628 6989911096336 7234819997202 7542684677934 7685770837136 7863649983378 8012824915312 8268365711088 8440623330069 8620211060496 8646492191778 8799798790923 8987028552432 9014428029726 9185433439504 9646426662936 9881705362032 10056912903912 10087574223741 10302203462544 10333612619442 10484866644504 11254164440092 11528656255704 11733065054564 11809842993648 12019237372968 13450098964988 13778150159256 14469639994404 15085369355868 15727299966756 16881246660138 17292984383556 17599597581846 18028856059452 19292853325872 19694787770161 20113825807824 20175148447482 20532863845487 20667225238884 20969733289008 22508328880184 23057312511408 23466130109128 23537673188729 24038474745936 25321869990207 26399396372769 26900197929976 27556300318512 28939279988808 30170738711736 30262722671223 31454599933512 33762493320276 34585968767112 35199195163692 36057712118904 39389575540322 40350296894964 41065727690974 41334450477768 45016657760368 46932260218256 47075346377458 50643739980414 52798792745538 53800395859952 57878559977616 59084363310483 60341477423472 60525445342446 61598591536461 62909199867024 67524986640552 69171937534224 70398390327384 70613019566187 72115424237808 78779151080644 80700593789928 82131455381948 82668900955536 94150692754916 101287479960828 105597585491076 118168726620966 121050890684892 123197183072922 135049973281104 137863514391127 140796780654768 141226039132374 157558302161288 161401187579856 164262910763896 177253089931449 184795774609383 188301385509832 202574959921656 211195170982152 211839058698561 236337453241932 242101781369784 246394366145844 275727028782254 282452078264748 315116604322576 328525821527792 354506179862898 369591549218766 376602771019664 405149919843312 413590543173381 422390341964304 423678117397122 472674906483864 484203562739568 492788732291688 551454057564508 564904156529496 709012359725796 739183098437532 827181086346762 847356234794244 945349812967728 965044600737889 985577464583376 1102908115129016 1129808313058992 1240771629520143 1418024719451592 1478366196875064 1654362172693524 1694712469588488 1930089201475778 2205816230258032 2481543259040286 2836049438903184 2895133802213667 2956732393750128 3308724345387048 3389424939176976 3860178402951556 4963086518080572 5790267604427334 6617448690774096 7720356805903112 8685401406641001 9926173036161144 11580535208854668 15440713611806224 17370802813282002 19852346072322288 23161070417709336 34741605626564004 46322140835418672 69483211253128008 138966422506256016
- Sum of all divisors σ(n): 475177952708943913
- Sum of proper divisors (its aliquot sum) s(n): 336211530202687897
- 138966422506256016 is an abundant number, because the sum of its proper divisors (336211530202687897) is greater than itself. Its abundance is 197245107696431881
Bases of 138966422506256016
- Binary: 1111011011011010100111001100110010011000100110110100100002
- Hexadecimal: 0x1EDB53999313690
- Base-36: 120BHH69ITG0
Squares and roots of 138966422506256016
- 138966422506256016 squared (1389664225062560162) is 19311666584187258575284657736192256
- 138966422506256016 cubed (1389664225062560163) is 2683673217838112489427096641378704611876302532612096
-
138966422506256016 is a
perfect square number . Itssquare root is 372782004 -
The
cube root of 138966422506256016 is 517968.4323898281
Scales and comparisons
How big is 138966422506256016?- 138,966,422,506,256,016 seconds is equal to 4,418,702,384 years, 17 weeks, 1 day, 11 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,966,422,506,256,016 would take you about thirteen billion, two hundred fifty-six million, one hundred seven thousand, one hundred fifty-two 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 138966422506256016 cubic inches would be around 43164 feet tall.
Recreational maths with 138966422506256016
- 138966422506256016 backwards is 610652605224669831
- 138966422506256016 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138966422506256016's digits is 72
- More coming soon!
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"Number 138966422506256016 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
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Numbermatics. (2024). Number 138966422506256016 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/138966422506256016/
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The information we have on file for 138966422506256016 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 138966422506256016, math, Factors of 138966422506256016, curriculum, school, college, exams, university, Prime factorization of 138966422506256016, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred sixty-six trillion, four hundred twenty-two billion, five hundred six million, two hundred fifty-six thousand and sixteen.