138142612713006907200
138,142,612,713,006,907,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138142612713006907200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2016 divisors.
138142612713006907200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138142612713006907200:
26 × 32 × 52 × 13 × 47 × 61 × 257 × 1001523179
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 47 × 61 × 257 × 1001523179)See below for interesting mathematical facts about the number 138142612713006907200 from the Numbermatics database.
Names of 138142612713006907200
- Cardinal: 138142612713006907200 can be written as One hundred thirty-eight quintillion, one hundred forty-two quadrillion, six hundred twelve trillion, seven hundred thirteen billion, six million, nine hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.381426127130069072 × 1020
Factors of 138142612713006907200
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 1001523567
Divisors of 138142612713006907200
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 47 48 50 52 60 61 64 65 72 75 78 80 90 94 96 100 104 117 120 122 130 141 144 150 156 160 180 183 188 192 195 200 208 225 234 235 240 244 257 260 282 288 300 305 312 320 325 360 366 376 390 400 416 423 450 468 470 480 488 514 520 549 564 576 585 600 610 611 624 650 705 720 732 752 771 780 793 800 832 846 900 915 936 940 960 975 976 1028 1040 1098 1128 1170 1175 1200 1220 1222 1248 1285 1300 1410 1440 1464 1504 1525 1542 1560 1586 1600 1692 1800 1830 1833 1872 1880 1950 1952 2056 2080 2115 2196 2256 2313 2340 2350 2379 2400 2440 2444 2496 2570 2600 2745 2820 2867 2880 2925 2928 3008 3050 3055 3084 3120 3172 3341 3384 3525 3600 3660 3666 3744 3760 3855 3900 3904 3965 4112 4160 4230 4392 4512 4575 4626 4680 4700 4758 4800 4880 4888 5140 5200 5490 5499 5640 5734 5850 5856 6100 6110 6168 6240 6344 6425 6682 6768 7050 7137 7200 7320 7332 7488 7520 7710 7800 7930 8224 8460 8601 8784 9024 9150 9165 9252 9360 9400 9516 9760 9776 10023 10280 10400 10575 10980 10998 11280 11468 11565 11700 11712 11895 12079 12200 12220 12336 12480 12688 12850 13364 13536 13725 14100 14274 14335 14400 14640 14664 15040 15275 15420 15600 15677 15860 16448 16705 16920 17202 17568 18300 18330 18504 18720 18800 19032 19275 19520 19552 19825 20046 20560 20800 21150 21960 21996 22560 22936 23130 23400 23790 24158 24400 24440 24672 25376 25700 25803 26728 27072 27450 27495 28200 28548 28670 29280 29328 30069 30550 30840 31200 31354 31720 33410 33840 34404 35136 35685 36237 36600 36660 37008 37271 37440 37600 38064 38550 39104 39650 40092 41120 42300 43005 43920 43992 45120 45825 45872 46260 46800 47031 47580 48316 48800 48880 49344 50115 50752 51400 51606 53456 54900 54990 56400 57096 57340 57825 58560 58656 59475 60138 60395 61100 61680 62400 62708 63440 66820 67680 68808 71370 71675 72474 73200 73320 74016 74542 75200 76128 77100 78385 79300 80184 82240 83525 84600 86010 87840 87984 91650 91744 92520 93600 94062 95160 96632 97600 97760 100230 102800 103212 106912 108711 109800 109980 111813 112800 114192 114680 115650 117312 118950 120276 120790 122200 123360 125416 126880 129015 133640 135360 137475 137616 141093 142740 143350 144948 146400 146640 148032 149084 150345 152256 154200 156770 157027 158600 160368 167050 169200 172020 175680 175968 178425 181185 183300 183488 185040 186355 187200 188124 190320 193264 195520 200460 203801 205600 206424 213824 215025 217422 219600 219960 223626 225600 228384 229360 231300 235155 237900 240552 241580 244400 246720 250575 250832 253760 258030 267280 274950 275232 282186 285480 286700 289896 292800 293280 298168 300690 301975 308400 313540 314054 317200 320736 334100 335439 338400 344040 351936 356850 362370 366600 370080 372710 376248 380640 386528 391925 400920 407602 411200 412848 430050 434844 439200 439920 447252 456768 458720 462600 470310 471081 475800 481104 483160 488800 501150 501664 516060 534560 543555 549900 550464 559065 564372 570960 573400 579792 586560 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12246685524202740 12560703101746400 12581294418306640 13063131225816256 13282943530096818 13437997345623240 13782561380126400 14130790989464700 14153956220594970 14516878174969200 14696022629043288 14758826144552020 14931108161803600 15072843722095680 15097553301967968 15308356905253425 15726618022883300 16061226916987200 16328914032270320 16797496682029050 17420253809963040 17710591373462424 17917329794164320 18370028286304110 18448532680690025 18841054652619600 18871941627459960 19186473987917626 19355837566625600 19594696838724384 20411142540337900 20673842070189600 21500795752997184 21775317262453800 22138239216828030 22396662242705400 22609265583143520 22646329952951952 23589927034324950 23614121831283232 24091840375480800 24493371048405480 25121406203492800 25162588836613280 26565887060193636 26875994691246480 28261581978929400 28307912441189940 28779710981876439 29033756349938400 29392045258086576 29517652289104040 29862216323607200 30195106603935936 30616713810506850 31453236045766600 32657828064540640 33207358825242045 33594993364058100 34840507619926080 35384890551487425 35421182746924848 35834659588328640 36740056572608220 36897065361380050 37682109305239200 37743883254919920 38372947975835252 39189393677448768 40822285080675800 41347684140379200 43550634524907600 44276478433656060 44793324485410800 45218531166287040 45292659905903904 45925070715760275 47179854068649900 47228243662566464 47966184969794065 48183680750961600 48986742096810960 50325177673226560 53131774120387272 53751989382492960 55345598042070075 56523163957858800 56615824882379880 57559421963752878 58067512699876800 58784090516173152 59035304578208080 59724432647214400 61233427621013700 62906472091533200 65315656129081280 66414717650484090 67189986728116200 70769781102974850 70842365493849696 73480113145216440 73794130722760100 75364218610478400 75487766509839840 76745895951670504 81644570161351600 86339132945629317 87101269049815200 88552956867312120 89586648970821600 90585319811807808 91850141431520550 94359708137299800 95932369939588130 97973484193621920 106263548240774544 107503978764985920 110691196084140150 113046327915717600 113231649764759760 115118843927505756 117568181032346304 118070609156416160 122466855242027400 125812944183066400 132829435300968180 134379973456232400 141539562205949700 141684730987699392 143898554909382195 146960226290432880 147588261445520200 150975533019679680 153491791903341008 163289140322703200 166036794126210225 172678265891258634 174202538099630400 177105913734624240 179173297941643200 183700282863041100 188719416274599600 191864739879176260 195946968387243840 212527096481549088 221382392168280300 226092655831435200 226463299529519520 230237687855011512 236141218312832320 239830924848970325 244933710484054800 251625888366132800 265658870601936360 268759946912464800 283079124411899400 287797109818764390 293920452580865760 295176522891040400 306983583806682016 326578280645406400 332073588252420450 345356531782517268 354211827469248480 367400565726082200 377438832549199200 383729479758352520 425054192963098176 431695664728146585 442764784336560600 452926599059039040 460475375710023024 479661849697940650 489867420968109600 531317741203872720 537519893824929600 566158248823798800 575594219637528780 587840905161731520 590353045782080800 613967167613364032 664147176504840900 690713063565034536 708423654938496960 719492774546910975 734801131452164400 754877665098398400 767458959516705040 863391329456293170 885529568673121200 920950751420046048 959323699395881300 979734841936219200 1062635482407745440 1132316497647597600 1151188439275057560 1180706091564161600 1328294353009681800 1381426127130069072 1438985549093821950 1469602262904328800 1534917919033410080 1726782658912586340 1771059137346242400 1841901502840092096 1918647398791762600 2125270964815490880 2158478323640732925 2264632995295195200 2302376878550115120 2656588706019363600 2762852254260138144 2877971098187643900 2939204525808657600 3069835838066820160 3453565317825172680 3542118274692484800 3837294797583525200 4316956647281465850 4604753757100230240 5313177412038727200 5525704508520276288 5755942196375287800 6907130635650345360 7674589595167050400 8633913294562931700 9209507514200460480 10626354824077454400 11511884392750575600 13814261271300690720 15349179190334100800 17267826589125863400 23023768785501151200 27628522542601381440 34535653178251726800 46047537571002302400 69071306356503453600 138142612713006907200
- Sum of all divisors σ(n): 550998530999466600960
- Sum of proper divisors (its aliquot sum) s(n): 412855918286459693760
- 138142612713006907200 is an abundant number, because the sum of its proper divisors (412855918286459693760) is greater than itself. Its abundance is 274713305573452786560
Bases of 138142612713006907200
- Binary: 11101111101000111010010011001011001111111110010001100111111010000002
- Hexadecimal: 0x77D1D2659FF233F40
- Base-36: T5JJH9VLKQQ80
Squares and roots of 138142612713006907200
- 138142612713006907200 squared (1381426127130069072002) is 19083381447175817577678062514909411840000
- 138142612713006907200 cubed (1381426127130069072003) is 2636228172511790247984650316600506206005139704209461248000000
-
The
square root of 138142612713006907200 is 11753408557.2231729173 -
The
cube root of 138142612713006907200 is 5169428.7662686779
Scales and comparisons
How big is 138142612713006907200?- 138,142,612,713,006,907,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,142,612,713,006,907,200 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 138142612713006907200 cubic inches would be around 430785.7 feet tall.
Recreational maths with 138142612713006907200
- 138142612713006907200 backwards is 002709600317216241831
- The number of decimal digits it has is: 21
- The sum of 138142612713006907200's digits is 63
- More coming soon!
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Cite this page
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"Number 138142612713006907200 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138142612713006907200 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138142612713006907200/
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Numbermatics. 2024. "Number 138142612713006907200 - Facts about the integer". https://numbermatics.com/n/138142612713006907200/
The information we have on file for 138142612713006907200 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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