138319742334816
138,319,742,334,816 is an even composite number composed of five prime numbers multiplied together.
What does the number 138319742334816 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
138319742334816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138319742334816:
25 × 34 × 73 × 1073 × 127
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 107 × 107 × 107 × 127)See below for interesting mathematical facts about the number 138319742334816 from the Numbermatics database.
Names of 138319742334816
- Cardinal: 138319742334816 can be written as One hundred thirty-eight trillion, three hundred nineteen billion, seven hundred forty-two million, three hundred thirty-four thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38319742334816 × 1014
Factors of 138319742334816
Divisors of 138319742334816
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 81 84 96 98 107 108 112 126 127 144 147 162 168 189 196 214 216 224 252 254 288 294 321 324 336 343 378 381 392 428 432 441 504 508 567 588 642 648 672 686 749 756 762 784 856 864 882 889 963 1008 1016 1029 1134 1143 1176 1284 1296 1323 1372 1498 1512 1524 1568 1712 1764 1778 1926 2016 2032 2058 2247 2268 2286 2352 2568 2592 2646 2667 2744 2889 2996 3024 3048 3087 3424 3429 3528 3556 3852 3969 4064 4116 4494 4536 4572 4704 5136 5243 5292 5334 5488 5778 5992 6048 6096 6174 6223 6741 6858 7056 7112 7704 7938 8001 8232 8667 8988 9072 9144 9261 10272 10287 10486 10584 10668 10976 11449 11556 11984 12192 12348 12446 13482 13589 13716 14112 14224 15408 15729 15876 16002 16464 17334 17976 18144 18288 18522 18669 20223 20574 20972 21168 21336 22898 23112 23968 24003 24696 24892 26964 27178 27432 27783 28448 30816 31458 31752 32004 32928 34347 34668 35952 36576 36701 37044 37338 40446 40767 41148 41944 42336 42672 43561 45796 46224 47187 48006 49392 49784 53928 54356 54864 55566 56007 60669 62916 63504 64008 68694 69336 71904 72009 73402 74088 74676 80143 80892 81534 82296 83888 85344 87122 91592 92448 94374 95123 96012 98784 99568 103041 107856 108712 109728 110103 111132 112014 121338 122301 125832 127008 128016 130683 137388 138672 141561 144018 146804 148176 149352 160286 161784 163068 164592 167776 168021 174244 183184 188748 190246 192024 199136 206082 215712 217424 220206 222264 224028 240429 242676 244602 251664 256032 261366 274776 277344 283122 285369 288036 293608 296352 298704 309123 320572 323568 326136 329184 330309 336042 348488 366368 366903 377496 380492 384048 392049 412164 424683 434848 440412 444528 448056 480858 485352 489204 503328 504063 522732 549552 561001 566244 570738 576072 587216 597408 618246 641144 647136 652272 660618 665861 672084 696976 721287 733806 754992 760984 768096 784098 824328 849366 856107 880824 889056 896112 927369 961716 970704 978408 990927 1008126 1045464 1099104 1100709 1122002 1132488 1141476 1152144 1174432 1176147 1225043 1236492 1282288 1304544 1321236 1331722 1344168 1393952 1442574 1454023 1467612 1509984 1521968 1568196 1648656 1683003 1698732 1712214 1761648 1792224 1854738 1923432 1941408 1956816 1981854 1997583 2016252 2090928 2163861 2201418 2244004 2264976 2282952 2304288 2352294 2450086 2472984 2564576 2568321 2642472 2663444 2688336 2885148 2908046 2935224 2972781 3043936 3136392 3297312 3366006 3397464 3424428 3523296 3528441 3675129 3709476 3846864 3913632 3927007 3963708 3995166 4032504 4181856 4327722 4362069 4402836 4488008 4529952 4565904 4661027 4704588 4900172 4945968 5049009 5136642 5284944 5326888 5376672 5770296 5816092 5870448 5945562 5992749 6272784 6491583 6732012 6794928 6848856 7056882 7350258 7418952 7693728 7704963 7854014 7927416 7990332 8065008 8575301 8655444 8724138 8805672 8976016 9131808 9322054 9409176 9800344 9891936 10098018 10178161 10273284 10569888 10653776 11025387 11540592 11632184 11740896 11781021 11891124 11985498 12545568 12983166 13086207 13464024 13589856 13697712 13983081 14113764 14700516 14837904 15147027 15409926 15708028 15854832 15980664 16130016 17150602 17310888 17448276 17611344 17952032 17978247 18644108 18818352 19600688 20196036 20356322 20546568 21307552 22050774 23081184 23264368 23562042 23782248 23970996 25725903 25966332 26172414 26928048 27395424 27966162 28227528 29401032 29675808 30294054 30534483 30819852 31416056 31709664 31961328 33076161 34301204 34621776 34896552 35222688 35343063 35956494 37288216 37636704 39201376 39258621 40392072 40712644 41093136 41949243 44101548 45441081 46528736 47124084 47564496 47941992 51451806 51932664 52344828 53856096 53934741 55932324 56455056 58802064 60027107 60588108 61068966 61639704 62832112 63922656 66152322 68602408 69243552 69793104 70686126 71247127 71912988 74576432 77177709 78517242 80784144 81425288 82186272 83898486 88203096 90882162 91603449 94248168 95128992 95883984 99228483 102903612 103865328 104689656 106029189 107869482 111864648 112910112 117604128 117775863 120054214 121176216 122137932 123279408 125664224 125847729 132304644 137204816 139586208 141372252 142494254 143825976 149152864 154355418 155580461 157034484 161568288 162850576 167796972 176406192 180081321 181764324 183206898 188496336 191767968 198456966 205807224 207730656 209379312 212058378 213741381 215738964 223729296 231533127 235551726 240108428 242352432 244275864 246558816 251695458 264609288 274409632 274810347 282744504 284988508 287651952 308710836 311160922 314068968 318087567 325701152 335593944 352812384 360162642 363528648 366413796 376992672 377543187 396913932 411614448 418758624 420189749 424116756 427482762 431477928 447458592 463066254 466741383 471103452 480216856 484704864 488551728 498729889 503390916 529218576 540243963 549620694 565489008 569977016 575303904 617421672 622321844 628137936 636175134 641224143 671187888 694599381 720325284 727057296 732827592 755086374 793827864 823228896 824431041 840379498 848233512 854965524 862955856 926132508 933482766 942206904 960433712 977103456 997459778 1006781832 1058437152 1080487926 1089063227 1099241388 1130978016 1139954032 1234843344 1244643688 1256275872 1260569247 1272350268 1282448286 1342375776 1389198762 1400224149 1440650568 1454114592 1465655184 1496189667 1510172748 1587655728 1620731889 1648862082 1680758996 1696467024 1709931048 1725911712 1852265016 1866965532 1884413808 1920867424 1923672429 1994919556 2013563664 2160975852 2178126454 2198482776 2279908064 2469686688 2489287376 2521138494 2544700536 2564896572 2778397524 2800448298 2881301136 2931310368 2992379334 3020345496 3175311456 3241463778 3267189681 3297724164 3361517992 3392934048 3419862096 3704530032 3733931064 3768827616 3781707741 3847344858 3989839112 4027127328 4200672447 4321951704 4356252908 4396965552 4488569001 4862195667 4978574752 5042276988 5089401072 5129793144 5556795048 5600896596 5762602272 5771017287 5984758668 6040690992 6482927556 6534379362 6595448328 6723035984 6839724192 7409060064 7467862128 7563415482 7623442589 7694689716 7979678224 8401344894 8643903408 8712505816 8793931104 8977138002 9724391334 9801569043 10084553976 10178802144 10259586288 11113590096 11201793192 11345123223 11542034574 11969517336 12081381984 12602017341 12965855112 13068758724 13190896656 13446071968 13465707003 14935724256 15126830964 15246885178 15389379432 15959356448 16802689788 17287806816 17425011632 17954276004 19448782668 19603138086 20169107952 20519172576 22227180192 22403586384 22690246446 22870327767 23084069148 23939034672 25204034682 25931710224 26137517448 26381793312 26931414006 29404707129 30253661928 30493770356 30778758864 33605379576 34035369669 34850023264 35908552008 38897565336 39206276172 40338215904 40397121009 44807172768 45380492892 45740655534 46168138296 47878069344 50408069364 51863420448 52275034896 53364098123 53862828012 58809414258 60507323856 60987540712 61557517728 67210759152 68070739338 68610983301 71817104016 77795130672 78412552344 80794242018 88214121387 90760985784 91481311068 92336276592 100816138728 104550069792 106728196246 107725656024 117618828516 121014647712 121975081424 134421518304 136141478676 137221966602 143634208032 155590261344 156825104688 160092294369 161588484036 176428242774 181521971568 182962622136 184672553184 201632277456 205832949903 213456392492 215451312048 235237657032 243950162848 272282957352 274443933204 313650209376 320184588738 323176968072 352856485548 363043943136 365925244272 403264554912 411665899806 426912784984 430902624096 470475314064 480276883107 544565914704 548887866408 617498849709 640369177476 646353936144 705712971096 731850488544 823331799612 853825569968 940950628128 960553766214 1089131829408 1097775732816 1234997699418 1280738354952 1292707872288 1411425942192 1440830649321 1646663599224 1707651139936 1921107532428 2195551465632 2469995398836 2561476709904 2822851884384 2881661298642 3293327198448 3842215064856 4322491947963 4939990797672 5122953419808 5763322597284 6586654396896 7684430129712 8644983895926 9879981595344 11526645194568 15368860259424 17289967791852 19759963190688 23053290389136 34579935583704 46106580778272 69159871167408 138319742334816
- Sum of all divisors σ(n): 482642012160000
- Sum of proper divisors (its aliquot sum) s(n): 344322269825184
- 138319742334816 is an abundant number, because the sum of its proper divisors (344322269825184) is greater than itself. Its abundance is 206002527490368
Bases of 138319742334816
- Binary: 111110111001101000100110001101101110111011000002
- Hexadecimal: 0x7DCD131B7760
- Base-36: 1D137N9Y00
Squares and roots of 138319742334816
- 138319742334816 squared (1383197423348162) is 19132351119569889587045753856
- 138319742334816 cubed (1383197423348163) is 2646381877118135551098567367533736275050496
-
The
square root of 138319742334816 is 11760941.3881209357 -
The
cube root of 138319742334816 is 51716.3727592225
Scales and comparisons
How big is 138319742334816?- 138,319,742,334,816 seconds is equal to 4,398,139 years, 49 weeks, 4 days, 16 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,319,742,334,816 would take you about ten million, nine hundred ninety-five thousand, three hundred forty-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 138319742334816 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138319742334816
- 138319742334816 backwards is 618433247913831
- 138319742334816 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138319742334816's digits is 63
- More coming soon!
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The information we have on file for 138319742334816 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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