138169979200512
138,169,979,200,512 is an even composite number composed of six prime numbers multiplied together.
What does the number 138169979200512 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1980 divisors.
138169979200512 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 138169979200512:
210 × 34 × 72 × 19 × 372 × 1307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 19 × 37 × 37 × 1307)See below for interesting mathematical facts about the number 138169979200512 from the Numbermatics database.
Names of 138169979200512
- Cardinal: 138169979200512 can be written as One hundred thirty-eight trillion, one hundred sixty-nine billion, nine hundred seventy-nine million, two hundred thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.38169979200512 × 1014
Factors of 138169979200512
Divisors of 138169979200512
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 37 38 42 48 49 54 56 57 63 64 72 74 76 81 84 96 98 108 111 112 114 126 128 133 144 147 148 152 162 168 171 189 192 196 216 222 224 228 252 256 259 266 288 294 296 304 324 333 336 342 378 384 392 399 432 441 444 448 456 504 512 513 518 532 567 576 588 592 608 648 666 672 684 703 756 768 777 784 798 864 882 888 896 912 931 999 1008 1024 1026 1036 1064 1134 1152 1176 1184 1197 1216 1296 1307 1323 1332 1344 1368 1369 1406 1512 1536 1539 1554 1568 1596 1728 1764 1776 1792 1813 1824 1862 1998 2016 2052 2072 2109 2128 2268 2304 2331 2352 2368 2394 2432 2592 2614 2646 2664 2688 2736 2738 2793 2812 2997 3024 3072 3078 3108 3136 3192 3456 3528 3552 3584 3591 3626 3648 3724 3921 3969 3996 4032 4104 4107 4144 4218 4256 4536 4608 4662 4704 4736 4788 4864 4921 5184 5228 5292 5328 5376 5439 5472 5476 5586 5624 5994 6048 6156 6216 6272 6327 6384 6912 6993 7056 7104 7168 7182 7252 7296 7448 7842 7938 7992 8064 8208 8214 8288 8379 8436 8512 9072 9149 9216 9324 9408 9472 9576 9583 9728 9842 10368 10456 10584 10656 10752 10773 10878 10944 10952 11172 11248 11763 11988 12096 12312 12321 12432 12544 12654 12768 13824 13986 14112 14208 14364 14504 14592 14763 14896 15684 15876 15984 16128 16317 16416 16428 16576 16758 16872 17024 18144 18298 18648 18816 18944 18981 19152 19166 19456 19684 20736 20912 20979 21168 21312 21504 21546 21756 21888 21904 22344 22496 23526 23976 24192 24624 24642 24833 24864 25088 25137 25308 25536 26011 27447 27648 27972 28224 28416 28728 28749 29008 29184 29526 29792 31368 31752 31968 32256 32634 32832 32856 33152 33516 33744 34048 34447 35289 36288 36596 36963 37296 37632 37888 37962 38304 38332 39368 41472 41824 41958 42336 42624 43092 43512 43776 43808 44289 44688 44992 47052 47952 48359 48384 48951 49248 49284 49666 49728 50176 50274 50616 51072 52022 54894 55944 56448 56832 56943 57456 57498 58016 58368 59052 59584 62736 63504 63936 64043 64512 65268 65664 65712 66304 67032 67081 67488 68096 68894 70578 72576 73192 73926 74499 74592 75264 75411 75924 76608 76664 78033 78736 82341 82944 83648 83916 84672 85248 86184 86247 87024 87552 87616 88578 89376 89984 94104 95904 96718 96768 97902 98496 98568 99332 99456 100548 101232 102144 103341 104044 105867 109788 110889 111888 112896 113664 113886 114912 114996 116032 118104 119168 125472 127008 127872 128086 130536 131328 131424 132608 132867 134064 134162 134976 136192 137788 141156 145077 145152 146384 146853 147852 148998 149184 150528 150822 151848 153216 153328 156066 157472 164682 167296 167832 169344 170496 172368 172494 173831 174048 175104 175232 177156 178752 179968 182077 188208 191808 192129 193436 193536 195804 196992 197136 198664 198912 201096 201243 202464 204288 206682 208088 211734 219576 221778 223497 223776 225792 227772 229824 229992 232064 234099 236208 238336 247023 250944 254016 255744 256172 258741 261072 262656 262848 265216 265734 268128 268324 269952 275576 282312 290154 290304 292768 293706 295704 297996 298368 301644 303696 306432 306656 310023 312132 314944 329364 334592 335664 338513 338688 340992 344736 344988 347662 348096 350464 354312 357504 359936 364154 376416 383616 384258 386872 391608 393984 394272 397328 397824 398601 402192 402486 404928 408576 413364 416176 423468 435231 439152 443556 446994 447552 451584 455544 459648 459984 464128 468198 472416 476672 494046 501888 508032 511488 512344 517482 521493 522144 525312 525696 531468 536256 536648 539904 546231 551152 564624 576387 580308 580608 585536 587412 591408 595992 596736 603288 603729 607392 612864 613312 620046 624264 629888 658728 669184 670491 671328 677026 677376 689472 689976 695324 696192 700928 702297 708624 715008 719872 728308 741069 752832 767232 768516 773744 776223 783216 787968 788544 794656 795648 797202 804384 804972 809856 826728 832352 846936 870462 878304 887112 893988 895104 911088 918821 919296 919968 928256 930069 936396 944832 953344 988092 1003776 1015539 1016064 1022976 1024688 1034964 1042986 1044288 1051392 1062936 1072512 1073296 1079808 1092462 1102304 1129248 1152774 1160616 1171072 1174824 1182816 1191984 1193472 1206576 1207458 1214784 1216817 1225728 1226624 1240092 1248528 1259776 1274539 1305693 1317456 1338368 1340982 1342656 1354052 1354752 1378944 1379952 1390648 1392384 1401856 1404594 1417248 1430016 1456616 1482138 1505664 1534464 1537032 1547488 1552446 1564479 1566432 1575936 1577088 1589312 1594404 1608768 1609944 1619712 1638693 1653456 1664704 1693872 1729161 1740924 1756608 1774224 1787976 1789283 1790208 1811187 1822176 1837642 1838592 1839936 1856512 1860138 1872792 1889664 1976184 2007552 2011473 2031078 2032128 2049376 2069928 2085972 2088576 2102784 2106891 2125872 2145024 2146592 2159616 2184924 2204608 2258496 2305548 2321232 2342144 2349648 2365632 2369591 2383968 2386944 2413152 2414916 2429568 2433634 2453248 2480184 2497056 2519552 2549078 2611386 2634912 2681964 2685312 2708104 2756463 2757888 2759904 2781296 2784768 2790207 2809188 2834496 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14418238464 14428778112 14587202196 14686434864 14818745088 14992402257 15102194688 15230376896 16232375376 16378612992 16490032128 16671088224 16821278208 16833574464 17134174008 17288535936 17406145024 17619227136 18551286144 18937771272 19052672256 19238370816 19275945759 19449602928 19581913152 19758326784 19989869676 21643167168 21838150656 22029652296 22228117632 22444765952 22845565344 23051381248 24567919488 24735048192 25231917312 25250361696 25403563008 25701261012 25932803904 26109217536 26428840704 26653159568 28077622272 28406656908 28857556224 29174404392 29372869728 29637490176 29984804514 30460753792 32464750752 32757225984 33342176448 33642556416 33667148928 34268348016 34577071872 34812290048 35238454272 37102572288 37875542544 38105344512 38476741632 38551891518 38899205856 39163826304 39979739352 43286334336 44059304592 44456235264 44889531904 44977206771 45691130688 46102762496 49135838976 49470096384 50463834624 50500723392 51402522024 51865607808 52218435072 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346290674688 352474436736 359817654168 365529045504 404005787136 411220176192 414924862464 426450553088 454506510528 466790470272 469965915648 479756872224 519436012032 533474823168 539726481252 548293568256 606008680704 616830264288 622387293696 639675829632 704948873472 719635308336 731058091008 808011574272 822440352384 852901106176 909013021056 933580940544 939931831296 959513744448 1038872024064 1079452962504 1096587136512 1212017361408 1233660528576 1244774587392 1279351659264 1409897746944 1439270616672 1644880704768 1705802212352 1818026042112 1867161881088 1919027488896 2158905925008 2193174273024 2424034722816 2467321057152 2558703318528 2819795493888 2878541233344 3289761409536 3636052084224 3734323762176 3838054977792 4317811850016 4934642114304 5117406637056 5757082466688 6579522819072 7272104168448 7676109955584 8635623700032 9869284228608 11514164933376 15352219911168 17271247400064 19738568457216 23028329866752 34542494800128 46056659733504 69084989600256 138169979200512
- Sum of all divisors σ(n): 519648772492080
- Sum of proper divisors (its aliquot sum) s(n): 381478793291568
- 138169979200512 is an abundant number, because the sum of its proper divisors (381478793291568) is greater than itself. Its abundance is 243308814091056
Bases of 138169979200512
- Binary: 111110110101010001101001000011101100100000000002
- Hexadecimal: 0x7DAA34876400
- Base-36: 1CZ6EU6800
Squares and roots of 138169979200512
- 138169979200512 squared (1381699792005122) is 19090943152269918698701062144
- 138169979200512 cubed (1381699792005123) is 2637795218267291662279179021828122348617728
-
The
square root of 138169979200512 is 11754572.6932335571 -
The
cube root of 138169979200512 is 51697.7010378013
Scales and comparisons
How big is 138169979200512?- 138,169,979,200,512 seconds is equal to 4,393,377 years, 49 weeks, 3 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 138,169,979,200,512 would take you about ten million, nine hundred eighty-three thousand, four hundred forty-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 138169979200512 cubic inches would be around 4308.1 feet tall.
Recreational maths with 138169979200512
- 138169979200512 backwards is 215002979961831
- 138169979200512 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138169979200512's digits is 63
- More coming soon!
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"Number 138169979200512 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138169979200512 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138169979200512/
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Numbermatics. 2024. "Number 138169979200512 - Facts about the integer". https://numbermatics.com/n/138169979200512/
The information we have on file for 138169979200512 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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