138096149991800
138,096,149,991,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138096149991800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
138096149991800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138096149991800:
23 × 52 × 7 × 112 × 132 × 97 × 2232
(2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 13 × 13 × 97 × 223 × 223)See below for interesting mathematical facts about the number 138096149991800 from the Numbermatics database.
Names of 138096149991800
- Cardinal: 138096149991800 can be written as One hundred thirty-eight trillion, ninety-six billion, one hundred forty-nine million, nine hundred ninety-one thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380961499918 × 1014
Factors of 138096149991800
Divisors of 138096149991800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 20 22 25 26 28 35 40 44 50 52 55 56 65 70 77 88 91 97 100 104 110 121 130 140 143 154 169 175 182 194 200 220 223 242 260 275 280 286 308 325 338 350 364 385 388 440 446 455 484 485 520 550 572 605 616 650 676 679 700 715 728 770 776 845 847 892 910 968 970 1001 1067 1100 1115 1144 1183 1210 1261 1300 1352 1358 1400 1430 1540 1561 1573 1690 1694 1784 1820 1859 1925 1940 2002 2134 2200 2230 2275 2366 2420 2425 2453 2522 2600 2716 2860 2899 3025 3080 3122 3146 3380 3388 3395 3575 3640 3718 3850 3880 4004 4225 4235 4268 4460 4550 4732 4840 4850 4906 5005 5044 5335 5432 5575 5720 5798 5915 6050 6244 6292 6305 6760 6776 6790 7150 7436 7469 7700 7805 7865 8008 8450 8470 8536 8827 8920 9100 9295 9464 9700 9812 10010 10088 10670 11011 11150 11596 11737 11830 12100 12265 12488 12584 12610 13013 13580 13871 14300 14495 14872 14938 15400 15610 15730 16393 16900 16940 16975 17171 17654 18200 18590 19400 19624 20020 20293 20449 21175 21340 21631 22022 22300 23192 23474 23660 24200 24530 25025 25220 26026 26675 26983 27160 27742 28600 28990 29575 29876 31220 31460 31525 31889 32786 33800 33880 33950 34342 35308 37180 37345 37687 39025 39325 40040 40586 40898 42350 42680 43262 44044 44135 44600 46475 46948 47320 49060 49729 50050 50440 52052 53350 53966 55055 55484 57980 58685 59150 59752 61325 62440 62920 63050 63778 65065 65572 67900 68684 69355 70616 72475 74360 74690 75374 78050 78650 81172 81796 81965 82159 84700 85855 86524 88088 88270 92950 93896 97097 98120 99458 100100 101465 102245 104104 106700 107932 108155 110110 110968 114751 115960 117370 118300 122650 126100 127556 130130 131144 134915 135800 137368 138710 143143 144950 149380 150748 151417 152581 156100 157300 159445 162344 163592 163930 164318 169400 171710 173048 176540 180323 185900 186725 188435 188881 194194 198916 200200 202930 204490 213400 215864 216310 220220 220675 223223 229502 234740 236600 237941 245300 248645 252200 255112 260260 263809 269830 275275 277420 281203 286286 289900 293425 298760 301496 302834 305162 312200 314600 318890 325325 327860 328636 343420 346775 348103 350779 353080 360646 371800 373450 376870 377762 388388 397832 405860 408980 409825 410795 414557 429275 432620 440440 441350 446446 459004 469480 475882 485485 490600 497290 507325 511225 520520 527618 539660 540775 547019 550550 554840 562406 572572 573755 579800 586850 605668 610324 637780 646477 650650 655720 657272 674575 686840 693550 696206 701558 715715 721292 746900 753740 755524 757085 762905 776776 797225 811720 817960 819650 821590 829114 858550 865240 882700 892892 901615 918008 942175 944405 951764 970970 994580 1014650 1022450 1055236 1068067 1079320 1081550 1094038 1101100 1116115 1124812 1145144 1147510 1173700 1189705 1211336 1220648 1243225 1262261 1275560 1292954 1301300 1319045 1349150 1387100 1392412 1403116 1406015 1431430 1442584 1493800 1507480 1511048 1514170 1525810 1594450 1639300 1643180 1658228 1665587 1717100 1740515 1753895 1765400 1785784 1803230 1884350 1888810 1903528 1941940 1968421 1983553 1989160 2029300 2044900 2053975 2072785 2110472 2136134 2163100 2188076 2202200 2232230 2249624 2295020 2347400 2379410 2427425 2455453 2486450 2524522 2585908 2602600 2617351 2638090 2698300 2735095 2774200 2784824 2806232 2812030 2862860 2868775 2901899 3028340 3051620 3093233 3188900 3232385 3278600 3286360 3316456 3331174 3434200 3481030 3507790 3578575 3606460 3655639 3768700 3777620 3785425 3814525 3829133 3883880 3936842 3967106 4058600 4089800 4107950 4145570 4272268 4326200 4376152 4464460 4508075 4525339 4560127 4590040 4722025 4758820 4823713 4854850 4910906 4972900 5049044 5171816 5234702 5276180 5340335 5396600 5470190 5580575 5624060 5725720 5737550 5803798 5948525 6017209 6056680 6103240 6186466 6311305 6377800 6464770 6595225 6662348 6962060 7015580 7030075 7111247 7157150 7212920 7311278 7537400 7555240 7570850 7629050 7658266 7873684 7934212 8215900 8291140 8327935 8404201 8544536 8702575 8769475 8928920 9016150 9050678 9120254 9444050 9517640 9647426 9709700 9821812 9842105 9917765 9945800 10098088 10363925 10469404 10552360 10680670 10940380 11161150 11248120 11475100 11607596 11897050 12034418 12277265 12372932 12622610 12929540 13086755 13190450 13324696 13675475 13884871 13924120 14031160 14060150 14222494 14314300 14509495 14622556 15141700 15258100 15316532 15466165 15747368 15868424 16161925 16431800 16582280 16655870 16808402 17405150 17538950 18032300 18101356 18240508 18278195 18321457 18888100 19145665 19294852 19419400 19643624 19684210 19835530 20727850 20938808 21361340 21652631 21880760 22322300 22626695 22800635 22950200 23215192 23794100 24068836 24118565 24554530 24745864 25245220 25589473 25859080 26173510 26380900 26701675 27350950 27769742 28120300 28444988 28628600 29018990 29245112 30086045 30283400 30516200 30633064 30932330 31556525 31920889 32323850 33311740 33616804 33765991 34025563 34810300 35077900 35556235 36064600 36202712 36481016 36556390 36642914 37776200 38291330 38589704 39368420 39671060 40212029 41455700 41639675 42021005 42120463 42722680 43305262 44644600 45253390 45601270 47588200 48137672 48237130 49109060 49210525 49588825 49778729 50490440 51178946 52347020 52761800 53060843 53403350 54701900 55539484 56240600 56889976 58037980 58829407 60172090 61386325 61864660 62708269 63113050 63841778 64647700 65433775 66623480 67233608 67531982 68051126 69424355 69620600 70155800 71112470 72547475 73112780 73285828 76582660 77330825 78223717 78736840 79342120 80424058 82911400 83279350 84042010 84240926 86610524 90506780 91202540 91390975 91607285 92446211 95728325 96474260 98218120 98421050 99177650 99557458 102357892 104694040 106121686 106806700 108263155 109403800 111078968 113133475 114003175 116075960 117658814 120344180 120592825 122772650 123729320 125416538 126226100 127683556 127947365 129295400 130867550 135063964 136102252 138848710 142224940 145094950 146225560 146571656 150430225 153165320 154661650 156447434 159604445 160848116 166558700 168084020 168481852 168829955 170127815 173221048 177781175 181013560 182405080 182781950 183214570 184892422 191456650 192948520 196842100 198355300 199114916 201060145 204715784 210105025 210602315 212243372 213613400 216526310 226266950 228006350 235317628 238178941 240688360 241185650 245545300 248893645 250833076 252452200 255367112 255894730 261735100 265304215 270127928 272204504 277697420 281484203 284449880 290189900 294147035 300860450 309323300 312894868 313541345 319208890 321696232 333117400 336168040 336963704 337659910 340255630 347121775 355562350 365563900 366429140 369784844 371425901 382913300 391118585 393684200 396710600 398229832 402120290 420210050 421204630 424486744 433052620 438957883 442332319 452533900 456012700 458036425 462231055 470635256 476357882 482371300 491090600 497787290 501666152 511789460 523470200 530608430 541315775 547566019 555394840 562968406 580379800 583669273 588294070 601720900 618646600 625789736 627082690 638417780 639736825 647123477 675319820 680511260 689790959 694243550 711124700 731127800 732858280 739569688 742851802 765826600 782237170 798022225 804240580 815207497 840420100 842409260 844149775 850639075 866105240 877915766 884664638 905067800 912025400 916072850 924462110 952715764 964742600 995574580 1005300725 1016908321 1023578920 1053011575 1061216860 1082631550 1095132038 1125936812 1167338546 1176588140 1190894705 1203441800 1244468225 1254165380 1276835560 1279473650 1294246954 1326521075 1350639640 1361022520 1379581918 1388487100 1407421015 1422249400 1470735175 1485703604 1564474340 1567706725 1596044450 1608481160 1630414994 1680840200 1684818520 1688299550 1701278150 1755831532 1769329276 1832145700 1848924220 1857129505 1905431528 1955592925 1991149160 2010601450 2033816642 2106023150 2122433720 2165263100 2190264076 2194789415 2211661595 2251873624 2311155275 2334677092 2353176280 2381789410 2488936450 2508330760 2558947300 2588493908 2653042150 2737830095 2759163836 2776974200 2814842030 2918346365 2941470350 2971407208 3096326233 3128948680 3135413450 3192088900 3235617385 3260829988 3376599100 3402556300 3448954795 3511663064 3538658552 3664291400 3697848440 3714259010 3911185850 4021202900 4067633284 4076037485 4085684911 4212046300 4330526200 4380528152 4389578830 4423323190 4622310550 4669354184 4763578820 4828536713 4977872900 5084541605 5117894600 5176987816 5306084300 5475660190 5518327672 5629684060 5706452479 5836692730 5882940700 5954473525 6192652466 6270826900 6384177800 6471234770 6521659976 6753198200 6805112600 6897909590 7037105075 7118358247 7428518020 7587700549 7822371700 8042405800 8135266568 8152074970 8171369822 8424092600 8779157660 8846646380 8967282467 9244621100 9285647525 9527157640 9657073426 9955745800 10169083210 10612168600 10951320380 10973947075 11058307975 11259368120 11412904958 11673385460 11765881400 11908947050 12385304932 12541653800 12942469540 13689150475 13795819180 14074210150 14236716494 14591731825 14857036040 15175401098 15481631165 15644743400 16178086925 16304149940 16342739644 17244773975 17558315320 17693292760 17934564934 18489242200 18571295050 19314146852 20338166420 20380187425 20428424555 21902640760 21947894150 22116615950 22825809916 23346770920 23817894100 24142683565 24770609864 25422708025 25884939080 27378300950 27591638360 28148420300 28473432988 28532262395 29183463650 30350802196 30963262330 32356173850 32608299880 32685479288 34489547950 35591791235 35869129868 37142590100 37938502745 38628293704 40676332840 40760374850 40856849110 43895788300 44233231900 44836412335 45651619832 47635788200 48285367130 50845416050 53113903843 54756601900 56296840600 56946865976 57064524790 58366927300 60701604392 61926524660 62770977269 64712347700 68979095900 71183582470 71738259736 74285180200 75877005490 77408155825 81520749700 81713698220 87791576600 88466463800 89672824670 96570734260 98640107137 101690832100 102142122775 106227807686 109513203800 114129049580 116733854600 120713417825 123853049320 125541954538 129424695400 137958191800 142367164940 142661311975 151754010980 154816311650 163041499400 163427396440 177958956175 179345649340 189692513725 193141468520 197280214274 203381664200 204284245550 212455615372 224182061675 228258099160 241426835650 251083909076 265569519215 284734329880 285322623950 303508021960 309632623300 313854886345 355917912350 358691298680 379385027450 394560428548 408568491100 424911230744 448364123350 482853671300 493200535685 502167818152 531139038430 570645247900 619265246600 627709772690 690480749959 711835824700 758770054900 789120857096 817136982200 896728246700 965707342600 986401071370 1062278076860 1141290495800 1255419545380 1327847596075 1380961499918 1423671649400 1517540109800 1569274431725 1793456493400 1972802142740 2124556153720 2466002678425 2510839090760 2655695192150 2761922999836 3138548863450 3452403749795 3945604285480 4932005356850 5311390384300 5523845999672 6277097726900 6904807499590 9864010713700 10622780768600 12554195453800 13809614999180 17262018748975 19728021427400 27619229998360 34524037497950 69048074995900 138096149991800
- Sum of all divisors σ(n): 443234259785520
- Sum of proper divisors (its aliquot sum) s(n): 305138109793720
- 138096149991800 is an abundant number, because the sum of its proper divisors (305138109793720) is greater than itself. Its abundance is 167041959801920
Bases of 138096149991800
- Binary: 111110110011001000000111111011100010001011110002
- Hexadecimal: 0x7D9903F71178
- Base-36: 1CY8HU61YW
Squares and roots of 138096149991800
- 138096149991800 squared (1380961499918002) is 19070546642557723140067240000
- 138096149991800 cubed (1380961499918003) is 2633569069576269235940223255377448632000000
-
The
square root of 138096149991800 is 11751431.8273051305 -
The
cube root of 138096149991800 is 51688.4914145001
Scales and comparisons
How big is 138096149991800?- 138,096,149,991,800 seconds is equal to 4,391,030 years, 21 weeks, 2 days, 8 hours, 23 minutes, 20 seconds.
-
To count from 1 to 138,096,149,991,800 would take you about ten million, nine hundred seventy-seven thousand, five hundred seventy-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 138096149991800 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138096149991800
- 138096149991800 backwards is 008199941690831
- The number of decimal digits it has is: 15
- The sum of 138096149991800's digits is 68
- More coming soon!
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The information we have on file for 138096149991800 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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