138207728169000
138,207,728,169,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138207728169000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
138207728169000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138207728169000:
23 × 36 × 53 × 74 × 2812
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 281 × 281)See below for interesting mathematical facts about the number 138207728169000 from the Numbermatics database.
Names of 138207728169000
- Cardinal: 138207728169000 can be written as One hundred thirty-eight trillion, two hundred seven billion, seven hundred twenty-eight million, one hundred sixty-nine thousand.
Scientific notation
- Scientific notation: 1.38207728169 × 1014
Factors of 138207728169000
Divisors of 138207728169000
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 35 36 40 42 45 49 50 54 56 60 63 70 72 75 81 84 90 98 100 105 108 120 125 126 135 140 147 150 162 168 175 180 189 196 200 210 216 225 243 245 250 252 270 280 281 294 300 315 324 343 350 360 375 378 392 405 420 441 450 486 490 500 504 525 540 562 567 588 600 630 648 675 686 700 729 735 750 756 810 840 843 875 882 900 945 972 980 1000 1029 1050 1080 1124 1125 1134 1176 1215 1225 1260 1323 1350 1372 1400 1405 1458 1470 1500 1512 1575 1620 1686 1701 1715 1750 1764 1800 1890 1944 1960 1967 2025 2058 2100 2205 2248 2250 2268 2401 2430 2450 2520 2529 2625 2646 2700 2744 2810 2835 2916 2940 3000 3087 3150 3240 3372 3375 3402 3430 3500 3528 3645 3675 3780 3934 3969 4050 4116 4200 4215 4410 4500 4536 4725 4802 4860 4900 5058 5103 5145 5250 5292 5400 5620 5670 5832 5880 5901 6075 6125 6174 6300 6615 6744 6750 6804 6860 7000 7025 7203 7290 7350 7560 7587 7868 7875 7938 8100 8232 8430 8505 8575 8820 9000 9261 9450 9604 9720 9800 9835 10116 10125 10206 10290 10500 10584 11025 11240 11340 11802 11907 12005 12150 12250 12348 12600 12645 13230 13500 13608 13720 13769 14050 14175 14406 14580 14700 15174 15435 15736 15750 15876 16200 16860 17010 17150 17640 17703 18225 18375 18522 18900 19208 19670 19845 20232 20250 20412 20580 21000 21075 21609 22050 22680 22761 23604 23625 23814 24010 24300 24500 24696 25290 25515 25725 26460 27000 27538 27783 28100 28350 28812 29160 29400 29505 30348 30375 30870 31500 31752 33075 33720 34020 34300 35125 35406 35721 36015 36450 36750 37044 37800 37935 39340 39690 40500 40824 41160 41307 42150 42525 42875 43218 44100 45522 46305 47208 47250 47628 48020 48600 49000 49175 50580 51030 51450 52920 53109 55076 55125 55566 56200 56700 57624 59010 59535 60025 60696 60750 61740 63000 63225 64827 66150 68040 68283 68600 68845 70250 70812 70875 71442 72030 72900 73500 74088 75870 77175 78680 78961 79380 81000 82614 83349 84300 85050 85750 86436 88200 88515 91044 91125 92610 94500 95256 96040 96383 98350 99225 101160 102060 102900 105375 106218 108045 110152 110250 111132 113400 113805 118020 119070 120050 121500 123480 123921 126450 127575 128625 129654 132300 136566 137690 138915 140500 141624 141750 142884 144060 145800 147000 147525 151740 154350 157922 158760 159327 165228 165375 166698 168600 170100 171500 172872 177030 178605 180075 182088 182250 185220 189000 189675 192766 194481 196700 198450 204120 204849 205800 206535 210750 212436 212625 216090 220500 222264 227610 231525 236040 236883 238140 240100 243000 245875 247842 250047 252900 255150 257250 259308 264600 265545 273132 275380 277830 281000 283500 285768 288120 289149 295050 297675 300125 303480 308700 315844 316125 318654 324135 330456 330750 333396 340200 341415 343000 344225 354060 357210 360150 364500 370440 371763 379350 385532 385875 388962 393400 394805 396900 409698 413070 416745 421500 424872 425250 432180 441000 442575 455220 463050 473766 476280 477981 480200 481915 491750 495684 496125 500094 505800 510300 514500 518616 531090 540225 546264 550760 552727 555660 567000 569025 578298 583443 590100 595350 600250 617400 619605 631688 632250 637308 637875 648270 661500 666792 674681 682830 688450 694575 708120 710649 714420 720300 729000 737625 743526 758700 771064 771750 777924 789610 793800 796635 819396 826140 833490 843000 850500 864360 867447 885150 893025 900375 910440 926100 947532 948375 955962 963830 972405 983500 991368 992250 1000188 1020600 1024245 1029000 1032675 1062180 1080450 1105454 1111320 1115289 1138050 1156596 1157625 1166886 1180200 1184415 1190700 1200500 1239210 1250235 1264500 1274616 1275750 1296540 1323000 1327725 1349362 1365660 1376900 1389150 1421298 1428840 1433943 1440600 1445745 1475250 1487052 1488375 1517400 1543500 1555848 1579220 1593270 1620675 1638792 1652280 1658181 1666980 1701000 1707075 1721125 1734894 1750329 1770300 1786050 1800750 1852200 1858815 1895064 1896750 1911924 1927660 1944810 1967000 1974025 1984500 2000376 2024043 2048490 2065350 2083725 2124360 2131947 2160900 2210908 2212875 2230578 2276100 2313192 2315250 2333772 2368830 2381400 2389905 2401000 2409575 2478420 2500470 2529000 2551500 2593080 2602341 2655450 2698724 2701125 2731320 2753800 2763635 2778300 2842596 2845125 2867886 2891490 2917215 2950500 2974104 2976750 3087000 3098025 3158440 3186540 3241350 3316362 3333960 3345867 3373405 3414150 3442250 3469788 3472875 3500658 3540600 3553245 3572100 3601500 3717630 3793500 3823848 3855320 3869089 3889620 3948050 3969000 3983175 4048086 4096980 4130700 4167450 4263894 4321800 4337235 4421816 4425750 4461156 4465125 4552200 4630500 4667544 4737660 4779810 4819150 4862025 4956840 4974543 5000940 5103000 5121225 5163375 5204682 5310900 5397448 5402250 5527270 5556600 5576445 5685192 5690250 5735772 5782980 5834430 5901000 5922075 5953500 6072129 6196050 6251175 6373080 6395841 6482700 6632724 6638625 6691734 6746810 6828300 6884500 6939576 6945750 7001316 7106490 7144200 7169715 7203000 7228725 7435260 7587000 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76750092 77381780 78070230 78961000 79663500 80300808 80961720 81250869 82909050 83349000 83646675 84335125 85277880 86744700 87516450 88831125 89541774 91081935 92858136 92940750 93684276 95596200 95937615 96383000 96727225 97240500 99490860 100376010 101202150 102424500 104093640 104465403 106597350 108334492 108430875 109298322 110545400 111528900 115125138 116072670 116688600 117105345 118441500 119389032 119495250 121442580 123921000 124363575 125023500 127916820 130117050 133834680 134312661 134936200 135418115 138181750 139287204 139411125 140526414 142129800 143394300 144574500 145731096 145860750 149236290 151803225 153500184 154763560 156140460 159327000 159896025 162501738 163947483 165818100 167293350 168670250 173489400 174109005 175032900 177662250 179083548 179242875 182163870 185881500 187368552 189585361 191875230 193454450 194481000 195175575 198981720 200752020 202404300 204849000 207272625 208930806 213194700 216668984 216861750 218596644 218791125 223057800 223854435 230250276 232145340 234210690 236883000 238990500 242885160 243752607 248727150 250047000 250940025 253005375 255833640 260234100 266493375 268625322 270836230 273245805 276363500 278574408 278822250 281052828 286788600 287812845 289149000 290181675 291721500 298472580 303606450 312280920 313396209 319792050 325003476 325292625 327894966 331636200 334586700 337340500 348218010 350065800 351316035 355324500 358167096 358485750 364327740 371763000 373090725 379170722 383750460 386908900 390351150 401504040 402937983 404808600 406254345 414545250 417861612 418233375 426389400 433723500 437193288 437582250 447708870 455409675 460500552 464290680 468421380 477981000 479688075 483636125 487505214 491842449 497454300 501880050 506010750 520468200 522327015 532986750 537250644 541672460 546491610 552727000 557644500 562105656 568756083 575625690 580363350 583443000 585526725 596945160 607212900 621817875 626792418 639584100 650006952 650585250 655789932 669173400 671563305 674681000 677090575 696436020 702632070 710649000 716971500 728655480 731257821 746181450 758341444 759016125 767500920 773817800 780702300 799480125 805875966 812508690 819737415 829090500 835723224 836466750 867447000 870545025 875164500 895417740 910819350 936842760 940188627 947926805 959376150 967272250 975010428 975877875 983684898 994908600 1003760100 1012021500 1044654030 1065973500 1074501288 1083344920 1092983220 1115289000 1119272175 1137512166 1151251380 1160726700 1171053450 1214425800 1218763035 1243635750 1253584836 1254700125 1279168200 1301170500 1311579864 1343126610 1354181150 1366229025 1392872040 1405264140 1433943000 1439064225 1450908375 1462515642 1492362900 1516682888 1518032250 1561404600 1566981045 1598960250 1611751932 1625017380 1639474830 1658181000 1672933500 1706268249 1741090050 1750329000 1756580175 1790835480 1821638700 1865453625 1880377254 1895853610 1918752300 1934544500 1950020856 1951755750 1967369796 2007520200 2014689915 2024043000 2031271725 2089308060 2131947000 2185966440 2193773463 2238544350 2275024332 2277048375 2302502760 2321453400 2342106900 2398440375 2437526070 2459212245 2487271500 2507169672 2509400250 2602341000 2611635075 2686253220 2708362300 2732458050 2810528280 2820565881 2843780415 2878128450 2901816750 2925031284 2927633625 2984725800 3036064500 3133962090 3197920500 3223503864 3250034760 3278949660 3345867000 3357816525 3385452875 3412536498 3482180100 3513160350 3643277400 3656289105 3730907250 3760754508 3791707220 3837504600 3869089000 3903511500 3934739592 4029379830 4062543450 4098687075 4178616120 4352725125 4387546926 4477088700 4550048664 4554096750 4684213800 4700943135 4739634025 4796880750 4875052140 4918424490 4974543000 5018800500 5118804747 5223270150 5372506440 5416724600 5464916100 5596360875 5641131762 5687560830 5756256900 5803633500 5850062568 5855267250 6072129000 6093815175 6267924180 6395841000 6557899320 6581320389 6715633050 6770905750 6825072996 6831145125 6964360200 7026320700 7195321125 7312578210 7461814500 7521509016 7583414440 7807023000 7834905225 8058759660 8125086900 8197374150 8531341245 8705450250 8775093852 8782900875 8954177400 9108193500 9401886270 9479268050 9593761500 9750104280 9836848980 10037601000 10073449575 10156358625 10237609494 10446540300 10929832200 10968867315 11192721750 11282263524 11375121660 11512513800 11607267000 11710534500 12187630350 12296061225 12535848360 13058175375 13162640778 13431266100 13541811500 13650145992 13662290250 14052641400 14102829405 14218902075 14390642250 14625156420 14923629000 15356414241 15669810450 16117519320 16250173800 16394748300 16789082625 17062682490 17410900500 17550187704 17565801750 18216387000 18281445525 18803772540 18958536100 19187523000 19673697960 19743961167 20146899150 20312717250 20475218988 20493435375 20893080600 21937734630 22385443500 22564527048 22750243320 23421069000 23504715675 23698170125 24375260700 24592122450 25594023735 26116350750 26325281556 26862532200 27083623000 27324580500 28205658810 28437804150 28781284500 29250312840 30469075875 30712828482 31339620900 32789496600 32906601945 33578165250 34125364980 34821801000 35131603500 36562891050 37607545080 37917072200 39174526125 39487922334 40293798300 40625434500 40950437976 40986870750 42656706225 43875469260 44770887000 46069242723 47009431350 47396340250 48750521400 49184244900 50367247875 51188047470 52232701500 52650563112 54649161000 54844336575 56411317620 56875608300 57562569000 60938151750 61425656964 61480306125 62679241800 65813203890 67156330500 68250729960 70263207000 70514147025 71094510375 73125782100 76782071205 78349052250 78975844668 80587596600 81250869000 81973741500 85313412450 87750938520 91407227625 92138485446 94018862700 94792680500 98368489800 98719805835 100734495750 102376094940 104465403000 109688673150 112822635240 113751216600 117523578375 121876303500 122851313928 122960612250 127970118675 131626407780 134312661000 138207728169 141028294050 142189020750 146251564200 153564142410 156698104500 157951689336 163947483000 164533009725 170626824900 182814455250 184276970892 188037725400 189585361000 197439611670 201468991500 204752189880 213283531125 219377346300 230346213615 235047156750 243752607000 245921224500 255940237350 263252815560 274221682875 276415456338 282056588100 284378041500 307128284820 313396209000 329066019450 341253649800 352570735125 365628910500 368553941784 383910356025 394879223340 402937983000 426567062250 438754692600 460692427230 470094313500 491842449000 493599029175 511880474700 548443365750 552830912676 564113176200 568756083000 614256569640 639850593375 658132038900 691038640845 705141470250 731257821000 767820712050 789758446680 822665048625 853134124500 921384854460 940188627000 987198058350 1023760949400 1096886731500 1105661825352 1151731068075 1279701186750 1316264077800 1382077281690 1410282940500 1535641424100 1645330097250 1706268249000 1842769708920 1919551780125 1974396116700 2193773463000 2303462136150 2467995145875 2559402373500 2764154563380 2820565881000 3071282848200 3290660194500 3455193204225 3839103560250 3948792233400 4606924272300 4935990291750 5118804747000 5528309126760 5758655340375 6581320389000 6910386408450 7678207120500 9213848544600 9871980583500 11517310680750 13820772816900 15356414241000 17275966021125 19743961167000 23034621361500 27641545633800 34551932042250 46069242723000 69103864084500 138207728169000
- Sum of all divisors σ(n): 567688422129660
- Sum of proper divisors (its aliquot sum) s(n): 429480693960660
- 138207728169000 is an abundant number, because the sum of its proper divisors (429480693960660) is greater than itself. Its abundance is 291272965791660
Bases of 138207728169000
- Binary: 111110110110010111111101000101011110000001010002
- Hexadecimal: 0x7DB2FE8AF028
- Base-36: 1CZNR4XMI0
Squares and roots of 138207728169000
- 138207728169000 squared (1382077281690002) is 19101376125636196092561000000
- 138207728169000 cubed (1382077281690003) is 2639957799225753781747850651050809000000000
-
The
square root of 138207728169000 is 11756178.2977717721 -
The
cube root of 138207728169000 is 51702.4086624277
Scales and comparisons
How big is 138207728169000?- 138,207,728,169,000 seconds is equal to 4,394,578 years, 13 weeks, 10 hours, 30 minutes.
-
To count from 1 to 138,207,728,169,000 would take you about ten million, nine hundred eighty-six thousand, four hundred forty-five 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 138207728169000 cubic inches would be around 4308.5 feet tall.
Recreational maths with 138207728169000
- 138207728169000 backwards is 000961827702831
- 138207728169000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138207728169000's digits is 54
- More coming soon!
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"Number 138207728169000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138207728169000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138207728169000/
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The information we have on file for 138207728169000 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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