12638322135040
12,638,322,135,040 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12638322135040 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 832 divisors.
12638322135040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 12638322135040:
212 × 5 × 7 × 37 × 73 × 127 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 37 × 73 × 127 × 257)See below for interesting mathematical facts about the number 12638322135040 from the Numbermatics database.
Names of 12638322135040
- Cardinal: 12638322135040 can be written as Twelve trillion, six hundred thirty-eight billion, three hundred twenty-two million, one hundred thirty-five thousand and forty.
Scientific notation
- Scientific notation: 1.263832213504 × 1013
Factors of 12638322135040
Divisors of 12638322135040
- Number of divisors d(n): 832
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 73 74 80 112 127 128 140 146 148 160 185 224 254 256 257 259 280 292 296 320 365 370 448 508 511 512 514 518 560 584 592 635 640 730 740 889 896 1016 1022 1024 1028 1036 1120 1168 1184 1270 1280 1285 1295 1460 1480 1778 1792 1799 2032 2044 2048 2056 2072 2240 2336 2368 2540 2555 2560 2570 2590 2701 2920 2960 3556 3584 3598 4064 4088 4096 4112 4144 4445 4480 4672 4699 4736 5080 5110 5120 5140 5180 5402 5840 5920 7112 7168 7196 8128 8176 8224 8288 8890 8960 8995 9271 9344 9398 9472 9509 10160 10220 10240 10280 10360 10804 11680 11840 13505 14224 14336 14392 16256 16352 16448 16576 17780 17920 17990 18542 18688 18761 18796 18907 18944 19018 20320 20440 20480 20560 20720 21608 23360 23495 23680 27010 28448 28672 28784 32512 32639 32704 32893 32896 33152 35560 35840 35980 37084 37376 37522 37592 37814 37888 38036 40640 40880 41120 41440 43216 46355 46720 46990 47360 47545 54020 56896 57568 64897 65024 65278 65408 65786 65792 66304 66563 71120 71680 71960 74168 74752 75044 75184 75628 75776 76072 81280 81760 82240 82880 86432 92710 93440 93805 93980 94535 94720 95090 108040 113792 115136 129794 130048 130556 130816 131327 131572 131584 132608 133126 142240 143360 143920 148336 149504 150088 150368 151256 151552 152144 162560 163195 163520 164465 164480 165760 172864 185420 186880 187610 187960 189070 189440 190180 216080 227584 228473 230272 259588 260096 261112 261632 262654 263144 263168 265216 266252 284480 287840 296672 299008 300176 300736 302512 304288 324485 325120 326390 327040 328930 328960 331520 332815 343027 345728 370840 373760 375220 375920 378140 378880 380360 432160 455168 456946 460544 519176 520192 522224 523264 525308 526288 526336 530432 532504 568960 575680 593344 600352 601472 605024 608576 648970 650240 652780 654080 656635 657860 657920 663040 665630 686054 691456 694157 741680 747520 750440 751840 756280 757760 760720 864320 910336 913892 921088 1038352 1044448 1046528 1050616 1052576 1052672 1060864 1065008 1137920 1142365 1151360 1186688 1200704 1202944 1207643 1210048 1217152 1297940 1300480 1305560 1308160 1313270 1315720 1315840 1326080 1331260 1372108 1382912 1388314 1483360 1495040 1500880 1503680 1512560 1521440 1715135 1728640 1820672 1827784 1842176 2076704 2088896 2093056 2101232 2105152 2130016 2275840 2284730 2302720 2373376 2382647 2401189 2401408 2405888 2415286 2420096 2434304 2595880 2600960 2611120 2616320 2626540 2631440 2631680 2652160 2662520 2744216 2765824 2776628 2966720 3001760 3007360 3025120 3042880 3430270 3457280 3470785 3641344 3655568 3684352 4153408 4177792 4202464 4210304 4260032 4551680 4569460 4605440 4746752 4765294 4802378 4802816 4811776 4830572 4840192 4859099 4868608 5191760 5222240 5232640 5253080 5262880 5263360 5304320 5325040 5488432 5531648 5553256 5933440 6003520 6014720 6038215 6050240 6085760 6860540 6914560 6941570 7311136 7368704 8306816 8355584 8404928 8420608 8453501 8520064 9103360 9138920 9210880 9493504 9530588 9604756 9605632 9623552 9661144 9680384 9718198 9737216 10383520 10444480 10465280 10506160 10525760 10650080 10976864 11063296 11106512 11866880 11913235 12005945 12007040 12029440 12076430 12100480 12171520 13721080 13829120 13883140 14622272 16613632 16678529 16711168 16809856 16841216 16907002 17040128 18206720 18277840 18421760 18987008 19061176 19209512 19211264 19247104 19322288 19360768 19436396 19474432 20767040 20888960 21012320 21051520 21300160 21953728 22213024 23733760 23826470 24011890 24014080 24058880 24152860 24200960 24295495 24343040 27442160 27658240 27766280 29244544 33227264 33357058 33422336 33619712 33682432 33814004 34080256 36555680 36843520 37974016 38122352 38419024 38422528 38644576 38721536 38872792 38948864 41534080 41777920 42024640 42103040 42267505 42600320 43907456 44426048 47467520 47652940 48023780 48028160 48117760 48305720 48401920 48590990 48686080 54884320 55316480 55532560 58489088 66454528 66714116 66844672 67239424 67364864 67628008 68160512 73111360 76244704 76838048 76845056 77289152 77443072 77745584 83068160 83392645 83555840 84049280 84206080 84535010 85200640 87814912 88157939 88852096 94935040 95305880 96047560 96056320 96235520 96611440 96803840 97181980 97372160 109768640 111065120 116978176 132909056 133428232 133689344 134478848 134729728 135256016 136321024 146222720 152489408 153676096 154578304 155491168 166136320 166785290 167111680 168098560 168412160 169070020 170401280 175629824 176315878 177704192 189870080 190611760 192095120 192112640 193222880 193607680 194363960 194744320 219537280 222130240 233956352 265818112 266856464 268957696 270512032 272642048 292445440 304978816 307352192 309156608 310982336 332272640 333570580 334223360 336197120 336824320 338140040 340802560 351259648 352631756 355408384 381223520 384190240 384225280 386445760 387215360 388727920 439074560 440789695 444260480 467912704 533712928 537915392 541024064 584890880 609957632 614704384 617105573 618313216 621964672 664545280 667141160 668446720 672394240 673648640 676280080 681605120 702519296 705263512 710816768 762447040 768380480 772891520 777455840 878149120 881579390 888520960 935825408 1067425856 1082048128 1169781760 1219915264 1229408768 1234211146 1236626432 1243929344 1329090560 1334282320 1344788480 1352560160 1363210240 1405038592 1410527024 1421633536 1524894080 1536760960 1545783040 1554911680 1756298240 1763158780 1777041920 2134851712 2164096256 2339563520 2439830528 2458817536 2468422292 2473252864 2487858688 2668564640 2689576960 2705120320 2821054048 2843267072 3049788160 3073521920 3085527865 3091566080 3109823360 3512596480 3526317560 3554083840 4269703424 4328192512 4679127040 4879661056 4917635072 4936844584 4946505728 4975717376 5337129280 5410240640 5642108096 6099576320 6147043840 6171055730 6183132160 6219646720 7025192960 7052635120 7108167680 8539406848 8656385024 9759322112 9835270144 9873689168 9951434752 10674258560 10820481280 11284216192 12199152640 12294087680 12342111460 12366264320 12439293440 14105270240 14216335360 17078813696 17312770048 19747378336 19902869504 21348517120 21640962560 22568432384 24398305280 24588175360 24684222920 24732528640 24878586880 28210540480 34157627392 34625540096 39494756672 42697034240 43281925120 45136864768 48796610560 49176350720 49368445840 49757173760 56421080960 68315254784 78989513344 85394068480 86563850240 90273729536 98736891680 99514347520 112842161920 157979026688 170788136960 173127700480 180547459072 197473783360 225684323840 315958053376 341576273920 361094918144 394947566720 451368647680 631916106752 789895133440 902737295360 1263832213504 1579790266880 1805474590720 2527664427008 3159580533760 6319161067520 12638322135040
- Sum of all divisors σ(n): 36510951849984
- Sum of proper divisors (its aliquot sum) s(n): 23872629714944
- 12638322135040 is an abundant number, because the sum of its proper divisors (23872629714944) is greater than itself. Its abundance is 11234307579904
Bases of 12638322135040
- Binary: 101101111110100101101011001110010000000000002
- Hexadecimal: 0xB7E96B39000
- Base-36: 4H9YQOQV4
Squares and roots of 12638322135040
- 12638322135040 squared (126383221350402) is 159727186389042023995801600
- 12638322135040 cubed (126383221350403) is 2018683635308289620766902189308248064000
-
The
square root of 12638322135040 is 3555041.7908992293 -
The
cube root of 12638322135040 is 23293.2349317515
Scales and comparisons
How big is 12638322135040?- 12,638,322,135,040 seconds is equal to 401,859 years, 28 weeks, 4 days, 13 hours, 30 minutes, 40 seconds.
-
To count from 1 to 12,638,322,135,040 would take you about one million, four thousand, six hundred forty-eight 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 12638322135040 cubic inches would be around 1941.1 feet tall.
Recreational maths with 12638322135040
- 12638322135040 backwards is 04053122383621
- 12638322135040 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12638322135040's digits is 40
- More coming soon!
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The information we have on file for 12638322135040 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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