131688269578320
131,688,269,578,320 is an even composite number composed of seven prime numbers multiplied together.
131688269578320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 131688269578320:
24 × 3 × 5 × 72 × 13 × 431 × 1998569
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 431 × 1998569)See below for interesting mathematical facts about the number 131688269578320 from the Numbermatics database.
Names of 131688269578320
- Cardinal: 131688269578320 can be written as One hundred thirty-one trillion, six hundred eighty-eight billion, two hundred sixty-nine million, five hundred seventy-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3168826957832 × 1014
Factors of 131688269578320
Divisors of 131688269578320
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 49 52 56 60 65 70 78 80 84 91 98 104 105 112 120 130 140 147 156 168 182 195 196 208 210 240 245 260 273 280 294 312 336 364 390 392 420 431 455 490 520 546 560 588 624 637 728 735 780 784 840 862 910 980 1040 1092 1176 1274 1293 1365 1456 1470 1560 1680 1724 1820 1911 1960 2155 2184 2352 2548 2586 2730 2940 3017 3120 3185 3448 3640 3822 3920 4310 4368 5096 5172 5460 5603 5880 6034 6370 6465 6896 7280 7644 8620 9051 9555 10192 10344 10920 11206 11760 12068 12740 12930 15085 15288 16809 17240 18102 19110 20688 21119 21840 22412 24136 25480 25860 28015 30170 30576 33618 34480 36204 38220 39221 42238 44824 45255 48272 50960 51720 56030 60340 63357 67236 72408 76440 78442 84045 84476 89648 90510 103440 105595 112060 117663 120680 126714 134472 144816 152880 156884 168090 168952 181020 196105 211190 224120 235326 241360 253428 268944 274547 313768 316785 336180 337904 362040 392210 422380 448240 470652 506856 549094 588315 627536 633570 672360 724080 784420 823641 844760 941304 1013712 1098188 1176630 1267140 1344720 1372735 1568840 1647282 1689520 1882608 1998569 2196376 2353260 2534280 2745470 3137680 3294564 3997138 4118205 4392752 4706520 5068560 5490940 5995707 6589128 7994276 8236410 9413040 9992845 10981880 11991414 13178256 13989983 15988552 16472820 19985690 21963760 23982828 25981397 27979966 29978535 31977104 32945640 39971380 41969949 47965656 51962794 55959932 59957070 65891280 69949915 77944191 79942760 83939898 95931312 97929881 103925588 111919864 119914140 129906985 139899830 155888382 159885520 167879796 181869779 195859762 207851176 209849745 223839728 239828280 259813970 279799660 293789643 311776764 335759592 363739558 389720955 391719524 415702352 419699490 479656560 489649405 519627940 545609337 559599320 587579286 623553528 671519184 727479116 779441910 783439048 839398980 861383239 909348895 979298810 1039255880 1091218674 1119198640 1175158572 1247107056 1273088453 1454958232 1468948215 1558883820 1566878096 1678797960 1722766478 1818697790 1958597620 2078511760 2182437348 2350317144 2546176906 2584149717 2728046685 2909916464 2937896430 3117767640 3357595920 3445532956 3637395580 3819265359 3917195240 4306916195 4364874696 4700634288 5092353812 5168299434 5456093370 5875792860 6029682673 6235535280 6365442265 6891065912 7274791160 7638530718 7834390480 8613832390 8729749392 10184707624 10336598868 10912186740 11197982107 11751585720 12059365346 12730884530 12920748585 13782131824 14549582320 15277061436 17227664780 18089048019 19096326795 20369415248 20673197736 21824373480 22395964214 23503171440 24118730692 25461769060 25841497170 30148413365 30554122872 33593946321 34455329560 36178096038 38192653590 41346395472 42207778711 43648746960 44791928428 48237461384 50923538120 51682994340 55989910535 60296826730 61108245744 67187892642 68910659120 72356192076 76385307180 78385874749 84415557422 89583856856 90445240095 96474922768 101847076240 103365988680 111979821070 120593653460 126623336133 134375785284 144712384152 152770614360 156771749498 167969731605 168831114844 179167713712 180890480190 206731977360 211038893555 223959642140 235157624247 241187306920 253246672266 268751570568 289424768304 305541228720 313543498996 335939463210 337662229688 361780960380 391929373745 422077787110 447919284280 470315248494 482374613840 506493344532 537503141136 548701123243 627086997992 633116680665 671878926420 675324459376 723561920760 783858747490 844155574220 895838568560 940630496988 1012986689064 1097402246486 1175788121235 1254173995984 1266233361330 1343757852840 1447123841520 1567717494980 1646103369729 1688311148440 1881260993976 2025973378128 2194804492972 2351576242470 2532466722660 2687515705680 2743505616215 3135434989960 3292206739458 3376622296880 3762521987952 4389608985944 4703152484940 5064933445320 5487011232430 6270869979920 6584413478916 8230516848645 8779217971888 9406304969880 10129866890640 10974022464860 13168826957832 16461033697290 18812609939760 21948044929720 26337653915664 32922067394580 43896089859440 65844134789160 131688269578320
- Sum of all divisors σ(n): 512600396474880
- Sum of proper divisors (its aliquot sum) s(n): 380912126896560
- 131688269578320 is an abundant number, because the sum of its proper divisors (380912126896560) is greater than itself. Its abundance is 249223857318240
Bases of 131688269578320
- Binary: 111011111000101000100001000011110000000010100002
- Hexadecimal: 0x77C510878050
- Base-36: 1AOGR7M72O
Squares and roots of 131688269578320
- 131688269578320 squared (1316882695783202) is 17341800344532280790614022400
- 131688269578320 cubed (1316882695783203) is 2283711678744169647187820683811127034368000
-
The
square root of 131688269578320 is 11475550.9487919577 -
The
cube root of 131688269578320 is 50876.3207866681
Scales and comparisons
How big is 131688269578320?- 131,688,269,578,320 seconds is equal to 4,187,279 years, 32 weeks, 6 days, 18 hours, 52 minutes.
-
To count from 1 to 131,688,269,578,320 would take you about ten million, four hundred sixty-eight thousand, one hundred ninety-nine 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 131688269578320 cubic inches would be around 4239.7 feet tall.
Recreational maths with 131688269578320
- 131688269578320 backwards is 023875962886131
- The number of decimal digits it has is: 15
- The sum of 131688269578320's digits is 69
- More coming soon!
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