138138653086200
138,138,653,086,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 138138653086200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
138138653086200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138138653086200:
23 × 36 × 52 × 132 × 71 × 2812
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 71 × 281 × 281)See below for interesting mathematical facts about the number 138138653086200 from the Numbermatics database.
Names of 138138653086200
- Cardinal: 138138653086200 can be written as One hundred thirty-eight trillion, one hundred thirty-eight billion, six hundred fifty-three million, eighty-six thousand, two hundred.
Scientific notation
- Scientific notation: 1.381386530862 × 1014
Factors of 138138653086200
Divisors of 138138653086200
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 27 30 36 39 40 45 50 52 54 60 65 71 72 75 78 81 90 100 104 108 117 120 130 135 142 150 156 162 169 180 195 200 213 216 225 234 243 260 270 281 284 300 312 324 325 338 351 355 360 390 405 426 450 468 486 507 520 540 562 568 585 600 639 648 650 675 676 702 710 729 780 810 843 845 852 900 923 936 972 975 1014 1053 1065 1080 1124 1170 1215 1278 1300 1350 1352 1404 1405 1420 1458 1521 1560 1620 1686 1690 1704 1755 1775 1800 1846 1917 1944 1950 2025 2028 2106 2130 2248 2340 2430 2529 2535 2556 2600 2700 2769 2808 2810 2840 2916 2925 3042 3159 3195 3240 3372 3380 3510 3550 3645 3653 3692 3834 3900 4050 4056 4212 4215 4225 4260 4563 4615 4680 4860 5058 5070 5112 5265 5325 5400 5538 5620 5751 5832 5850 6075 6084 6318 6390 6744 6760 7020 7025 7100 7290 7306 7384 7587 7605 7668 7800 8100 8307 8424 8430 8450 8520 8775 9126 9230 9477 9585 9720 10116 10140 10530 10650 10959 11076 11240 11502 11700 11999 12150 12168 12636 12645 12675 12780 13689 13845 14040 14050 14200 14580 14612 15174 15210 15336 15795 15975 16200 16614 16860 16900 17253 17550 18225 18252 18265 18460 18954 19170 19951 20232 20280 21060 21075 21300 21918 22152 22761 22815 23004 23075 23400 23998 24300 24921 25272 25290 25350 25560 26325 27378 27690 28100 28755 29160 29224 30348 30420 31590 31950 32877 33228 33720 33800 34506 35100 35997 36450 36504 36530 36920 37908 37935 38025 38340 39902 41067 41535 42120 42150 42600 43836 45522 45630 46008 46150 47385 47489 47925 47996 48600 49842 50580 50700 51759 52650 54756 54795 55380 56200 57510 59853 59995 60696 60840 63180 63225 63900 65754 66456 68283 68445 69012 69225 70200 71994 72900 73060 74763 75816 75870 76050 76680 78961 78975 79804 82134 83070 84300 86265 87672 91044 91260 91325 92300 94770 94978 95850 95992 98631 99684 99755 101160 101400 103518 105300 107991 109512 109590 110760 113805 114075 115020 119706 119990 123201 124605 126360 126450 127800 131508 136566 136890 138024 138450 142467 143775 143988 145800 146120 149526 151740 152100 157922 157950 159608 164268 164385 166140 168600 172530 179559 179985 182088 182520 182650 184600 189540 189675 189956 191700 197262 199368 199510 204849 205335 207036 207675 210600 215982 219180 224289 227610 228150 230040 236883 236925 237445 239412 239980 246402 249210 252900 258795 259363 263016 273132 273780 273975 276900 284934 287550 287976 295893 299052 299265 299975 303480 304200 315844 315900 323973 328536 328770 332280 341415 342225 345060 359118 359970 365300 373815 379080 379350 379912 383400 394524 394805 399020 409698 410670 414072 415350 427401 431325 431964 438360 448578 455220 456300 473766 473850 474890 478824 479960 492804 493155 498420 498775 505800 517590 518726 538677 539955 546264 547560 547950 553800 569025 569868 575100 591786 598104 598530 599950 616005 623025 631688 631800 647946 657540 672867 682830 684450 690120 710649 712335 718236 719940 730600 747630 758700 778089 789048 789610 798040 819396 821340 821925 830700 854802 862650 863928 887679 897156 897795 899925 910440 912600 947532 947700 949780 971919 985608 986310 996840 997550 1024245 1026493 1026675 1035180 1037452 1077354 1079910 1095900 1121445 1138050 1139736 1150200 1183572 1184415 1187225 1197060 1199900 1232010 1246050 1282203 1293975 1295892 1296815 1315080 1345734 1365660 1368900 1421298 1424670 1436472 1439880 1479465 1495260 1496325 1517400 1556178 1579220 1616031 1619865 1638792 1642680 1643850 1661400 1707075 1709604 1725300 1775358 1794312 1795590 1799850 1869075 1895064 1895400 1899560 1943838 1972620 1974025 1995100 2048490 2052986 2053350 2070360 2074904 2131947 2137005 2154708 2159820 2191800 2242890 2276100 2334267 2367144 2368830 2374450 2394120 2399800 2464020 2465775 2492100 2564406 2587950 2591784 2593630 2663037 2691468 2693385 2699775 2731320 2737800 2842596 2849340 2915757 2958930 2990520 2992650 3079479 3080025 3112356 3158440 3232062 3239730 3287700 3364335 3371719 3414150 3419208 3450600 3550716 3553245 3561675 3591180 3599700 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8193277170 8314593300 8527077351 8647177032 8745720360 9007476075 9082094220 9103641300 9453781350 9474530390 9728074161 9831932604 9838935405 9977511960 10091215800 10808971290 10898513064 10924369560 10932150450 11352617775 11369436468 11512513800 11806722486 12009968100 12289915755 12471889950 12605041800 12970765548 13118580540 13623141330 13655461950 14211795585 14411961720 14576200600 14966267940 15136823700 15742296648 16213456935 16347769596 16386554340 16398225675 16629186600 17054154702 17710083729 18014952150 18164188440 18207282600 18707834925 18907562700 18949060780 19456148322 19663865208 19677870810 20434711995 20483192925 21617942580 21864300900 22705235550 22738872936 23613444972 23686325975 24019936200 24579831510 24943779900 25581232053 25941531096 26237161080 27022428225 27246282660 27310923900 28423591170 29516806215 29932535880 30273647400 32426913870 32695539192 32773108680 32796451350 34057853325 34108309404 35420167458 36029904300 37415669850 37815125400 37898121560 38912296644 39355741620 40869423990 40966385850 42635386755 43235885160 43728601800 45410471100 47226889944 47372651950 48640370805 49159663020 49194677025 49887559800 51162464106 53130251187 54044856450 54492565320 54621847800 56847182340 59033612430 61449578775 64853827740 65592902700 68115706650 68216618808 70840334916 71058977925 72059808600 74831339700 76743696159 77824593288 78711483240 81067284675 81738847980 81932771700 85270773510 88550418645 90820942200 94745303900 97280741610 98319326040 98389354050 102173559975 102324928212 106260502374 108089712900 113694364680 118067224860 122899157550 127906160265 129707655480 131185805400 136231413300 141680669832 142117955850 147584031075 149662679400 153487392318 162134569350 163477695960 163865543400 170541547020 177100837290 189490607800 194561483220 196778708100 204347119950 204649856424 212521004748 213176933775 216179425800 230231088477 236134449720 243201854025 245798315100 255812320530 265651255935 272462826600 284235911700 295168062150 306974784636 324269138700 341083094040 354201674580 383718480795 389122966440 393557416200 408694239900 425042009496 426353867550 442752093225 460462176954 486403708050 491596630200 511624641060 531302511870 568471823400 590336124300 613949569272 639530801325 648538277400 690693265431 708403349160 767436961590 817388479800 852707735100 885504186450 920924353908 972807416100 1023249282120 1062605023740 1151155442385 1180672248600 1279061602650 1328256279675 1381386530862 1534873923180 1705415470200 1771008372900 1841848707816 1918592403975 1945614832200 2125210047480 2302310884770 2558123205300 2656512559350 2762773061724 3069747846360 3453466327155 3542016745800 3837184807950 4604621769540 5116246410600 5313025118700 5525546123448 5755777211925 6906932654310 7674369615900 9209243539080 10626050237400 11511554423850 13813865308620 15348739231800 17267331635775 23023108847700 27627730617240 34534663271550 46046217695400 69069326543100 138138653086200
- Sum of all divisors σ(n): 530661536057160
- Sum of proper divisors (its aliquot sum) s(n): 392522882970960
- 138138653086200 is an abundant number, because the sum of its proper divisors (392522882970960) is greater than itself. Its abundance is 254384229884760
Bases of 138138653086200
- Binary: 111110110100010111010010101100011010001111110002
- Hexadecimal: 0x7DA2E958D1F8
- Base-36: 1CYS0REVI0
Squares and roots of 138138653086200
- 138138653086200 squared (1381386530862002) is 19082287476469512784630440000
- 138138653086200 cubed (1381386530862003) is 2636001489803160872106800086432463928000000
-
The
square root of 138138653086200 is 11753240.1101228251 -
The
cube root of 138138653086200 is 51693.7937478865
Scales and comparisons
How big is 138138653086200?- 138,138,653,086,200 seconds is equal to 4,392,381 years, 45 weeks, 4 days, 7 hours, 30 minutes.
-
To count from 1 to 138,138,653,086,200 would take you about ten million, nine hundred eighty thousand, nine hundred fifty-four 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 138138653086200 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138138653086200
- 138138653086200 backwards is 002680356831831
- 138138653086200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138138653086200's digits is 54
- More coming soon!
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"Number 138138653086200 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 138138653086200 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138138653086200/
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The information we have on file for 138138653086200 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!
Keywords: Divisors of 138138653086200, math, Factors of 138138653086200, curriculum, school, college, exams, university, Prime factorization of 138138653086200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred thirty-eight billion, six hundred fifty-three million, eighty-six thousand, two hundred.