138516974077575720960
138,516,974,077,575,720,960 is an even composite number composed of five prime numbers multiplied together.
138516974077575720960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twelve divisors.
Prime factorization of 138516974077575720960:
212 × 32 × 5 × 857 × 876899277179
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 857 × 876899277179)See below for interesting mathematical facts about the number 138516974077575720960 from the Numbermatics database.
Names of 138516974077575720960
- Cardinal: 138516974077575720960 can be written as One hundred thirty-eight quintillion, five hundred sixteen quadrillion, nine hundred seventy-four trillion, seventy-seven billion, five hundred seventy-five million, seven hundred twenty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3851697407757572096 × 1020
Factors of 138516974077575720960
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 876899278046
Divisors of 138516974077575720960
- Number of divisors d(n): 312
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 857 960 1024 1152 1280 1440 1536 1714 1920 2048 2304 2560 2571 2880 3072 3428 3840 4096 4285 4608 5120 5142 5760 6144 6856 7680 7713 8570 9216 10240 10284 11520 12288 12855 13712 15360 15426 17140 18432 20480 20568 23040 25710 27424 30720 30852 34280 36864 38565 41136 46080 51420 54848 61440 61704 68560 77130 82272 92160 102840 109696 123408 137120 154260 164544 184320 205680 219392 246816 274240 308520 329088 411360 438784 493632 548480 617040 658176 822720 877568 987264 1096960 1234080 1316352 1645440 1755136 1974528 2193920 2468160 2632704 3290880 3510272 3949056 4387840 4936320 5265408 6581760 7898112 8775680 9872640 10530816 13163520 15796224 17551360 19745280 26327040 31592448 39490560 52654080 78981120 157962240 876899277179 1753798554358 2630697831537 3507597108716 4384496385895 5261395663074 7015194217432 7892093494611 8768992771790 10522791326148 13153489157685 14030388434864 15784186989222 17537985543580 21045582652296 26306978315370 28060776869728 31568373978444 35075971087160 39460467473055 42091165304592 52613956630740 56121553739456 63136747956888 70151942174320 78920934946110 84182330609184 105227913261480 112243107478912 126273495913776 140303884348640 157841869892220 168364661218368 210455826522960 224486214957824 252546991827552 280607768697280 315683739784440 336729322436736 420911653045920 448972429915648 505093983655104 561215537394560 631367479568880 673458644873472 751502680542403 841823306091840 897944859831296 1010187967310208 1122431074789120 1262734959137760 1346917289746944 1503005361084806 1683646612183680 1795889719662592 2020375934620416 2244862149578240 2254508041627209 2525469918275520 2693834579493888 3006010722169612 3367293224367360 3591779439325184 3757513402712015 4040751869240832 4489724299156480 4509016083254418 5050939836551040 5387669158987776 6012021444339224 6734586448734720 6763524124881627 7515026805424030 8081503738481664 8979448598312960 9018032166508836 10101879673102080 10775338317975552 11272540208136045 12024042888678448 13469172897469440 13527048249763254 15030053610848060 16163007476963328 17958897196625920 18036064333017672 20203759346204160 22545080416272090 24048085777356896 26938345794938880 27054096499526508 30060107221696120 32326014953926656 33817620624408135 36072128666035344 40407518692408320 45090160832544180 48096171554713792 53876691589877760 54108192999053016 60120214443392240 67635241248816270 72144257332070688 80815037384816640 90180321665088360 96192343109427584 108216385998106032 120240428886784480 135270482497632540 144288514664141376 161630074769633280 180360643330176720 192384686218855168 216432771996212064 240480857773568960 270540964995265080 288577029328282752 360721286660353440 384769372437710336 432865543992424128 480961715547137920 541081929990530160 577154058656565504 721442573320706880 769538744875420672 865731087984848256 961923431094275840 1082163859981060320 1154308117313131008 1442885146641413760 1539077489750841344 1731462175969696512 1923846862188551680 2164327719962120640 2308616234626262016 2885770293282827520 3078154979501682688 3462924351939393024 3847693724377103360 4328655439924241280 4617232469252524032 5771540586565655040 6925848703878786048 7695387448754206720 8657310879848482560 9234464938505048064 11543081173131310080 13851697407757572096 15390774897508413440 17314621759696965120 23086162346262620160 27703394815515144192 34629243519393930240 46172324692525240320 69258487038787860480 138516974077575720960
- Sum of all divisors σ(n): 480693808788119475120
- Sum of proper divisors (its aliquot sum) s(n): 342176834710543754160
- 138516974077575720960 is an abundant number, because the sum of its proper divisors (342176834710543754160) is greater than itself. Its abundance is 203659860632968033200
Bases of 138516974077575720960
- Binary: 11110000010010011110010011000000111011101111110010001110000000000002
- Hexadecimal: 0x7824F260777E47000
- Base-36: T8DXLAWA50JK0
Squares and roots of 138516974077575720960
- 138516974077575720960 squared (1385169740775757209602) is 19186952107607784252513142562463783321600
- 138516974077575720960 cubed (1385169740775757209603) is 2657718547717194296275637767279930976458090663462343540736000
-
The
square root of 138516974077575720960 is 11769323433.2979277233 -
The
cube root of 138516974077575720960 is 5174094.2079169583
Scales and comparisons
How big is 138516974077575720960?- 138,516,974,077,575,720,960 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,516,974,077,575,720,960 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138516974077575720960 cubic inches would be around 431174.5 feet tall.
Recreational maths with 138516974077575720960
- 138516974077575720960 backwards is 069027575770479615831
- The number of decimal digits it has is: 21
- The sum of 138516974077575720960's digits is 99
- More coming soon!
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The information we have on file for 138516974077575720960 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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