12939585968400
12,939,585,968,400 is an even composite number composed of seven prime numbers multiplied together.
12939585968400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 12939585968400:
24 × 3 × 52 × 7 × 13 × 292 × 140897
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 29 × 29 × 140897)See below for interesting mathematical facts about the number 12939585968400 from the Numbermatics database.
Names of 12939585968400
- Cardinal: 12939585968400 can be written as Twelve trillion, nine hundred thirty-nine billion, five hundred eighty-five million, nine hundred sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.29395859684 × 1013
Factors of 12939585968400
Divisors of 12939585968400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 29 30 35 39 40 42 48 50 52 56 58 60 65 70 75 78 80 84 87 91 100 104 105 112 116 120 130 140 145 150 156 168 174 175 182 195 200 203 208 210 232 240 260 273 280 290 300 312 325 336 348 350 364 377 390 400 406 420 435 455 464 520 525 546 560 580 600 609 624 650 696 700 725 728 754 780 812 840 841 870 910 975 1015 1040 1050 1092 1131 1160 1200 1218 1300 1365 1392 1400 1450 1456 1508 1560 1624 1680 1682 1740 1820 1885 1950 2030 2100 2175 2184 2262 2275 2320 2436 2523 2600 2639 2730 2800 2900 3016 3045 3120 3248 3364 3480 3640 3770 3900 4060 4200 4205 4350 4368 4524 4550 4872 5046 5075 5200 5278 5460 5655 5800 5887 6032 6090 6728 6825 6960 7280 7540 7800 7917 8120 8400 8410 8700 9048 9100 9425 9744 10092 10150 10556 10920 10933 11310 11600 11774 12180 12615 13195 13456 13650 15080 15225 15600 15834 16240 16820 17400 17661 18096 18200 18850 20184 20300 21025 21112 21840 21866 22620 23548 24360 25230 26390 27300 28275 29435 30160 30450 31668 32799 33640 34800 35322 36400 37700 39585 40368 40600 42050 42224 43732 45240 47096 48720 50460 52780 54600 54665 56550 58870 60900 63075 63336 65598 65975 67280 70644 75400 76531 79170 81200 84100 87464 88305 90480 94192 100920 105560 109200 109330 113100 117740 121800 126150 126672 131196 131950 140897 141288 147175 150800 153062 158340 163995 168200 174928 176610 197925 201840 211120 218660 226200 229593 235480 243600 252300 262392 263900 273325 281794 282576 294350 306124 316680 327990 336400 353220 382655 395850 422691 437320 441525 452400 459186 470960 504600 524784 527800 546650 563588 588700 612248 633360 655980 704485 706440 765310 791700 819975 845382 874640 883050 918372 986279 1009200 1055600 1093300 1127176 1147965 1177400 1224496 1311960 1408970 1412880 1530620 1583400 1639950 1690764 1766100 1831661 1836744 1913275 1972558 2113455 2186600 2254352 2295930 2354800 2623920 2817940 2958837 3061240 3166800 3279900 3381528 3522425 3532200 3663322 3673488 3826550 3945116 4086013 4226910 4373200 4591860 4931395 5494983 5635880 5739825 5917674 6122480 6559800 6763056 7044850 7064400 7326644 7653100 7890232 8172026 8453820 9158305 9183720 9862790 10567275 10989966 11271760 11479650 11835348 12258039 12821627 13119600 14089700 14653288 14794185 15306200 15780464 16344052 16907640 18316610 18367440 19725580 20430065 21134550 21979932 22959300 23670696 24516078 24656975 25643254 27474915 28179400 28602091 29306576 29588370 30612400 32688104 33815280 36633220 38464881 39451160 40860130 42269100 43959864 45791525 45918600 47341392 49032156 49313950 51286508 53118169 54949830 56358800 57204182 59176740 61290195 64108135 65376208 73266440 73970925 76929762 78902320 81720260 84538200 85806273 87919728 91583050 91837200 98064312 98627900 102150325 102573016 106236338 109899660 114408364 118353480 118494377 122580390 128216270 137374575 143010455 146532880 147941850 153859524 159354507 163440520 169076400 171612546 183166100 192324405 196128624 197255800 204300650 205146032 212472676 219799320 228816728 236706960 236988754 245160780 256432540 265590845 274749150 286020910 295883700 306450975 307719048 318709014 320540675 326881040 343225092 355483131 366332200 371827183 384648810 394511600 408601300 424945352 429031365 439598640 457633456 473977508 490321560 512865080 531181690 549498300 572041820 591767400 592471885 612901950 615438096 637418028 641081350 686450184 710966262 715052275 732664400 743654366 769297620 796772535 817202600 829460639 849890704 858062730 947955016 961622025 980643120 1025730160 1062363380 1098996600 1115481549 1144083640 1183534800 1184943770 1225803900 1274836056 1282162700 1327954225 1372900368 1421932524 1430104550 1487308732 1538595240 1540426901 1593545070 1634405200 1658921278 1716125460 1777415655 1859135915 1895910032 1923244050 2124726760 2145156825 2197993200 2230963098 2288167280 2369887540 2451607800 2488381917 2549672112 2564325400 2655908450 2843865048 2860209100 2962359425 2974617464 3077190480 3080853802 3187090140 3317842556 3432250920 3554831310 3718271830 3846488100 3983862675 4147303195 4249453520 4290313650 4461926196 4621280703 4739775080 4903215600 4976763834 5128650800 5311816900 5577407745 5687730096 5720418200 5924718850 5949234928 6161707604 6374180280 6635685112 6864501840 7109662620 7436543660 7692976200 7702134505 7967725350 8294606390 8580627300 8887078275 8923852392 9242561406 9295679575 9479550160 9953527668 10623633800 10782988307 11154815490 11440836400 11849437700 12323415208 12441909585 12748360560 13271370224 14219325240 14873087320 15385952400 15404269010 15935450700 16589212780 17161254600 17774156550 17847704784 18485122812 18591359150 19907055336 20736515975 21247267600 21565976614 22309630980 23106403515 23698875400 24646830416 24883819170 27887038725 28438650480 29746174640 30808538020 31870901400 32348964921 33178425560 34322509200 35548313100 36970245624 37182718300 38510672525 39814110672 41473031950 43131953228 44619261960 46212807030 47397750800 49767638340 53914941535 55774077450 61617076040 62209547925 63741802800 64697929842 66356851120 71096626200 73940491248 74365436600 77021345050 82946063900 86263906456 89238523920 92425614060 99535276680 107829883070 111548154900 115532017575 123234152080 124419095850 129395859684 142193252400 148730873200 154042690100 161744824605 165892127800 172527812912 184851228120 199070553360 215659766140 223096309800 231064035150 248838191700 258791719368 269574707675 308085380200 323489649210 331784255600 369702456240 431319532280 446192619600 462128070300 497676383400 517583438736 539149415350 616170760400 646979298420 808724123025 862639064560 924256140600 995352766800 1078298830700 1293958596840 1617448246050 1848512281200 2156597661400 2587917193680 3234896492100 4313195322800 6469792984200 12939585968400
- Sum of all divisors σ(n): 52835325239424
- Sum of proper divisors (its aliquot sum) s(n): 39895739271024
- 12939585968400 is an abundant number, because the sum of its proper divisors (39895739271024) is greater than itself. Its abundance is 26956153302624
Bases of 12939585968400
- Binary: 101111000100101110110110110011011001000100002
- Hexadecimal: 0xBC4BB6CD910
- Base-36: 4L4D3E8EO
Squares and roots of 12939585968400
- 12939585968400 squared (129395859684002) is 167432885033614165798560000
- 12939585968400 cubed (129395859684003) is 2166512209829684222106518156925504000000
-
The
square root of 12939585968400 is 3597163.6004496653 -
The
cube root of 12939585968400 is 23476.8663053863
Scales and comparisons
How big is 12939585968400?- 12,939,585,968,400 seconds is equal to 411,438 years, 42 weeks, 11 hours, 40 minutes.
-
To count from 1 to 12,939,585,968,400 would take you about one million, twenty-eight thousand, five hundred ninety-seven 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 12939585968400 cubic inches would be around 1956.4 feet tall.
Recreational maths with 12939585968400
- 12939585968400 backwards is 00486958593921
- The number of decimal digits it has is: 14
- The sum of 12939585968400's digits is 69
- More coming soon!
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