13181137203840
13,181,137,203,840 is an even composite number composed of seven prime numbers multiplied together.
13181137203840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13181137203840:
27 × 3 × 5 × 192 × 127 × 137 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 19 × 19 × 127 × 137 × 1093)See below for interesting mathematical facts about the number 13181137203840 from the Numbermatics database.
Names of 13181137203840
- Cardinal: 13181137203840 can be written as Thirteen trillion, one hundred eighty-one billion, one hundred thirty-seven million, two hundred three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.318113720384 × 1013
Factors of 13181137203840
Divisors of 13181137203840
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 127 128 137 152 160 190 192 228 240 254 274 285 304 320 361 380 381 384 411 456 480 508 548 570 608 635 640 685 722 760 762 822 912 960 1016 1083 1093 1096 1140 1216 1270 1370 1444 1520 1524 1644 1805 1824 1905 1920 2032 2055 2166 2186 2192 2280 2413 2432 2540 2603 2740 2888 3040 3048 3279 3288 3610 3648 3810 4064 4110 4332 4372 4384 4560 4826 5080 5206 5415 5465 5480 5776 6080 6096 6558 6576 7220 7239 7296 7620 7809 8128 8220 8664 8744 8768 9120 9652 10160 10412 10830 10930 10960 11552 12065 12160 12192 13015 13116 13152 14440 14478 15240 15618 16256 16395 16440 17328 17399 17488 17536 18240 19304 20320 20767 20824 21660 21860 21920 23104 24130 24384 26030 26232 26304 28880 28956 30480 31236 32790 32880 34656 34798 34976 36195 36480 38608 39045 40640 41534 41648 43320 43720 43840 45847 46208 48260 48768 49457 52060 52197 52464 52608 57760 57912 60960 62301 62472 65580 65760 69312 69596 69952 72390 77216 78090 81280 83068 83296 86640 86995 87440 87680 91694 96520 98914 103835 104120 104394 104928 115520 115824 121920 124602 124944 131160 131520 137541 138624 138811 139192 139904 144780 148371 149741 154432 156180 166136 166592 173280 173990 174880 183388 193040 197828 207670 208240 208788 209856 229235 231040 231648 243840 247285 249204 249888 260985 262320 263040 275082 277622 278384 289560 296742 299482 308864 311505 312360 330581 332272 333184 346560 347980 349760 366776 386080 394573 395656 415340 416433 416480 417576 419712 449223 458470 463296 494570 498408 499776 521970 524640 550164 555244 556768 579120 593484 598964 623010 624720 661162 664544 687705 693120 694055 695960 699520 733552 741855 748705 772160 789146 791312 830680 832866 832960 835152 898446 916940 926592 989140 991743 996816 999552 1043940 1049280 1100328 1110488 1113536 1158240 1183719 1186968 1197928 1246020 1249440 1322324 1329088 1375410 1388110 1391920 1467104 1483710 1497410 1544320 1578292 1582624 1652905 1661360 1665732 1665920 1670304 1796892 1833880 1972865 1978280 1983486 1993632 2082165 2087880 2098560 2200656 2220976 2227072 2246115 2316480 2367438 2373936 2395856 2492040 2498880 2637409 2644648 2658176 2750820 2776220 2783840 2845079 2934208 2967420 2994820 3156584 3165248 3305810 3322720 3331464 3340608 3593784 3667760 3945730 3956560 3966972 3987264 4164330 4175760 4401312 4441952 4492230 4632960 4734876 4747872 4791712 4958715 4984080 4997760 5274818 5289296 5501640 5552440 5567680 5690158 5868416 5918595 5934840 5989640 6281039 6313168 6330496 6611620 6645440 6662928 6681216 7187568 7335520 7891460 7912227 7913120 7933944 7974528 8328660 8351520 8535237 8802624 8883904 8984460 9469752 9495744 9583424 9917430 9968160 10549636 10578592 11003280 11104880 11135360 11380316 11837190 11869680 11979280 12562078 12626336 13187045 13223240 13290880 13325856 14225395 14375136 14671040 15782920 15824454 15826240 15867888 16657320 16703040 17070474 17605248 17767808 17968920 18843117 18939504 18991488 19017107 19166848 19834860 19936320 21099272 21157184 22006560 22209760 22760632 23674380 23739360 23958560 25124156 25252672 26374090 26446480 26651712 28450790 28750272 29342080 31405195 31565840 31648908 31652480 31735776 33314640 33406080 34140948 35937840 37686234 37879008 38034214 39561135 39669720 39872640 42198544 42314368 42676185 44013120 44419520 45521264 47348760 47478720 47917120 50110771 50248312 50505344 52748180 52892960 53303424 54056501 56901580 57051321 57500544 62810390 63131680 63297816 63471552 66629280 68281896 71875680 75372468 75758016 76068428 79122270 79339440 84397088 85352370 88026240 88839040 91042528 94215585 94697520 94957440 95085535 95834240 100221542 100496624 105496360 105785920 108113002 113803160 114102642 125620780 126263360 126595632 126943104 133258560 136563792 143751360 150332313 150744936 151516032 152136856 158244540 158678880 162169503 168794176 170704740 182085056 188431170 189395040 190171070 200443084 200993248 210992720 211571840 216226004 227606320 228205284 250553855 251241560 252526720 253191264 266517120 270282505 273127584 285256605 287502720 300664626 301489872 304273712 316489080 317357760 324339006 337588352 341409480 361325033 364170112 376862340 378790080 380342140 400886168 401986496 421985440 432452008 455212640 456410568 501107710 502483120 506382528 540565010 546255168 570513210 601329252 602979744 608547424 632978160 634715520 648678012 682818960 722650066 751661565 753724680 757580160 760684280 801772336 803972992 810847515 843970880 864904016 910425280 912821136 1002215420 1004966240 1012765056 1081130020 1083975099 1092510336 1141026420 1202658504 1205959488 1217094848 1265956320 1297356024 1365637920 1445300132 1503323130 1507449360 1521368560 1603544672 1621695030 1687941760 1729808032 1806625165 1820850560 1825642272 2004430840 2009932480 2162260040 2167950198 2282052840 2405317008 2411918976 2434189696 2531912640 2594712048 2731275840 2890600264 3006646260 3014898720 3042737120 3207089344 3243390060 3459616064 3613250330 3651284544 4008861680 4019864960 4324520080 4335900396 4564105680 4810634016 5063825280 5189424096 5419875495 5462551680 5781200528 6013292520 6029797440 6085474240 6414178688 6486780120 6865175627 6919232128 7226500660 7302569088 8017723360 8649040160 8671800792 9128211360 9621268032 10378848192 10839750990 11562401056 12026585040 12059594880 12170948480 12973560240 13730351254 14453001320 16035446720 17298080320 17343601584 18256422720 19242536064 20595526881 20757696384 21679501980 23124802112 24053170080 25947120480 27460702508 28906002640 32070893440 34325878135 34596160640 34687203168 36512845440 41191053762 43359003960 46249604224 48106340160 51894240960 54921405016 57812005280 68651756270 69374406336 82382107524 86718007920 96212680320 102977634405 103788481920 109842810032 115624010560 137303512540 138748812672 164764215048 173436015840 205955268810 219685620064 231248021120 274607025080 329528430096 346872031680 411910537620 439371240128 549214050160 659056860192 693744063360 823821075240 878742480256 1098428100320 1318113720384 1647642150480 2196856200640 2636227440768 3295284300960 4393712401280 6590568601920 13181137203840
- Sum of all divisors σ(n): 45059127275520
- Sum of proper divisors (its aliquot sum) s(n): 31877990071680
- 13181137203840 is an abundant number, because the sum of its proper divisors (31877990071680) is greater than itself. Its abundance is 18696852867840
Bases of 13181137203840
- Binary: 101111111100111110010000000000110010100000002
- Hexadecimal: 0xBFCF9003280
- Base-36: 4O7BWRIIO
Squares and roots of 13181137203840
- 13181137203840 squared (131811372038402) is 173742377986454973710745600
- 13181137203840 cubed (131811372038403) is 2290122122360893481571717966945583104000
-
The
square root of 13181137203840 is 3630583.5899810929 -
The
cube root of 13181137203840 is 23622.0523094225
Scales and comparisons
How big is 13181137203840?- 13,181,137,203,840 seconds is equal to 419,119 years, 20 weeks, 2 days, 9 hours, 4 minutes.
-
To count from 1 to 13,181,137,203,840 would take you about one million, forty-seven thousand, seven hundred ninety-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 13181137203840 cubic inches would be around 1968.5 feet tall.
Recreational maths with 13181137203840
- 13181137203840 backwards is 04830273118131
- The number of decimal digits it has is: 14
- The sum of 13181137203840's digits is 42
- More coming soon!
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The information we have on file for 13181137203840 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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