13188940038144
13,188,940,038,144 is an even composite number composed of five prime numbers multiplied together.
What does the number 13188940038144 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
13188940038144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13188940038144:
217 × 35 × 13 × 53 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 53 × 601)See below for interesting mathematical facts about the number 13188940038144 from the Numbermatics database.
Names of 13188940038144
- Cardinal: 13188940038144 can be written as Thirteen trillion, one hundred eighty-eight billion, nine hundred forty million, thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.3188940038144 × 1013
Factors of 13188940038144
Divisors of 13188940038144
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 53 54 64 72 78 81 96 104 106 108 117 128 144 156 159 162 192 208 212 216 234 243 256 288 312 318 324 351 384 416 424 432 468 477 486 512 576 601 624 636 648 689 702 768 832 848 864 936 954 972 1024 1053 1152 1202 1248 1272 1296 1378 1404 1431 1536 1664 1696 1728 1803 1872 1908 1944 2048 2067 2106 2304 2404 2496 2544 2592 2756 2808 2862 3072 3159 3328 3392 3456 3606 3744 3816 3888 4096 4134 4212 4293 4608 4808 4992 5088 5184 5409 5512 5616 5724 6144 6201 6318 6656 6784 6912 7212 7488 7632 7776 7813 8192 8268 8424 8586 9216 9616 9984 10176 10368 10818 11024 11232 11448 12288 12402 12636 12879 13312 13568 13824 14424 14976 15264 15552 15626 16227 16384 16536 16848 17172 18432 18603 19232 19968 20352 20736 21636 22048 22464 22896 23439 24576 24804 25272 25758 26624 27136 27648 28848 29952 30528 31104 31252 31853 32454 32768 33072 33696 34344 36864 37206 38464 39936 40704 41472 43272 44096 44928 45792 46878 48681 49152 49608 50544 51516 53248 54272 55296 55809 57696 59904 61056 62208 62504 63706 64908 65536 66144 67392 68688 70317 73728 74412 76928 79872 81408 82944 86544 88192 89856 91584 93756 95559 97362 98304 99216 101088 103032 106496 108544 110592 111618 115392 119808 122112 124416 125008 127412 129816 131072 132288 134784 137376 140634 146043 147456 148824 153856 159744 162816 165888 167427 173088 176384 179712 183168 187512 191118 194724 196608 198432 202176 206064 210951 212992 217088 221184 223236 230784 239616 244224 248832 250016 254824 259632 264576 269568 274752 281268 286677 292086 294912 297648 307712 319488 325632 331776 334854 346176 352768 359424 366336 375024 382236 389448 393216 396864 404352 412128 414089 421902 425984 434176 442368 446472 461568 479232 488448 497664 500032 509648 519264 529152 539136 549504 562536 573354 584172 589824 595296 615424 632853 638976 651264 663552 669708 692352 705536 718848 732672 750048 764472 778896 793728 808704 824256 828178 843804 851968 860031 868352 884736 892944 923136 958464 976896 995328 1000064 1019296 1038528 1058304 1078272 1099008 1125072 1146708 1168344 1179648 1190592 1230848 1242267 1265706 1277952 1302528 1327104 1339416 1384704 1411072 1437696 1465344 1500096 1528944 1557792 1587456 1617408 1648512 1656356 1687608 1703936 1720062 1736704 1769472 1785888 1846272 1898559 1916928 1953792 1990656 2000128 2038592 2077056 2116608 2156544 2198016 2250144 2293416 2336688 2381184 2461696 2484534 2531412 2555904 2580093 2605056 2654208 2678832 2769408 2822144 2875392 2930688 3000192 3057888 3115584 3174912 3234816 3297024 3312712 3375216 3440124 3473408 3538944 3571776 3692544 3726801 3797118 3833856 3907584 3981312 4000256 4077184 4154112 4233216 4313088 4396032 4500288 4586832 4673376 4762368 4923392 4969068 5062824 5111808 5160186 5210112 5308416 5357664 5538816 5644288 5750784 5861376 6000384 6115776 6231168 6349824 6469632 6594048 6625424 6750432 6880248 6946816 7143552 7385088 7453602 7594236 7667712 7740279 7815168 7962624 8000512 8154368 8308224 8466432 8626176 8792064 9000576 9173664 9346752 9524736 9846784 9938136 10125648 10320372 10420224 10616832 10715328 11077632 11180403 11288576 11501568 11722752 12000768 12231552 12462336 12699648 12939264 13188096 13250848 13500864 13760496 14287104 14770176 14907204 15188472 15335424 15480558 15630336 15925248 16001024 16308736 16616448 16932864 17252352 17584128 18001152 18347328 18693504 19049472 19693568 19876272 20251296 20640744 20840448 21430656 22155264 22360806 22577152 23003136 23445504 24001536 24463104 24924672 25399296 25878528 26376192 26501696 27001728 27520992 28574208 29540352 29814408 30376944 30961116 31260672 31850496 32002048 32617472 33232896 33541209 33865728 34504704 35168256 36002304 36694656 37387008 38098944 39387136 39752544 40502592 41281488 42861312 44310528 44721612 45154304 46006272 46891008 48003072 48926208 49849344 50798592 51757056 52752384 53003392 54003456 55041984 57148416 59080704 59628816 60753888 61922232 62521344 64004096 65234944 66465792 67082418 67731456 69009408 70336512 72004608 73389312 74774016 76197888 78774272 79505088 81005184 82562976 85722624 88621056 89443224 90308608 93782016 96006144 97852416 99698688 100623627 101597184 103514112 105504768 106006784 108006912 110083968 114296832 118161408 119257632 121507776 123844464 128008192 130469888 132931584 134164836 135462912 138018816 140673024 144009216 146778624 149548032 152395776 159010176 162010368 165125952 171445248 177242112 178886448 187564032 192012288 195704832 199397376 201247254 203194368 207028224 211009536 212013568 216013824 220167936 228593664 236322816 238515264 243015552 247688928 256016384 260939776 265863168 268329672 270925824 281346048 288018432 293557248 299096064 304791552 318020352 324020736 330251904 342890496 354484224 357772896 384024576 391409664 398794752 402494508 406388736 414056448 422019072 424027136 432027648 440335872 457187328 477030528 486031104 495377856 512032768 521879552 531726336 536659344 562692096 576036864 587114496 598192128 609583104 636040704 648041472 660503808 685780992 708968448 715545792 768049152 782819328 797589504 804989016 812777472 844038144 848054272 864055296 880671744 914374656 954061056 972062208 990755712 1024065536 1043759104 1063452672 1073318688 1152073728 1174228992 1196384256 1219166208 1272081408 1296082944 1321007616 1371561984 1431091584 1536098304 1565638656 1595179008 1609978032 1688076288 1696108544 1728110592 1761343488 1828749312 1908122112 1944124416 1981511424 2087518208 2126905344 2146637376 2304147456 2348457984 2392768512 2438332416 2544162816 2592165888 2642015232 2743123968 2862183168 3072196608 3131277312 3190358016 3219956064 3392217088 3456221184 3522686976 3657498624 3816244224 3888248832 3963022848 4175036416 4293274752 4608294912 4696915968 4785537024 5088325632 5184331776 5284030464 5486247936 5724366336 6262554624 6380716032 6439912128 6784434176 6912442368 7045373952 7314997248 7632488448 7776497664 7926045696 8586549504 9216589824 9393831936 9571074048 10176651264 10368663552 10568060928 10972495872 11448732672 12525109248 12879824256 13568868352 13824884736 14090747904 15264976896 15552995328 15852091392 17173099008 18787663872 19142148096 20353302528 20737327104 21136121856 21944991744 22897465344 25759648512 27137736704 27649769472 28181495808 30529953792 31105990656 31704182784 34346198016 37575327744 40706605056 41474654208 42272243712 45794930688 51519297024 54275473408 56362991616 61059907584 62211981312 63408365568 68692396032 81413210112 82949308416 84544487424 91589861376 103038594048 112725983232 122119815168 124423962624 126816731136 137384792064 162826420224 169088974848 183179722752 206077188096 244239630336 248847925248 253633462272 274769584128 338177949696 366359445504 412154376192 488479260672 507266924544 549539168256 732718891008 824308752384 1014533849088 1099078336512 1465437782016 1648617504768 2198156673024 3297235009536 4396313346048 6594470019072 13188940038144
- Sum of all divisors σ(n): 43426810705824
- Sum of proper divisors (its aliquot sum) s(n): 30237870667680
- 13188940038144 is an abundant number, because the sum of its proper divisors (30237870667680) is greater than itself. Its abundance is 17048930629536
Bases of 13188940038144
- Binary: 101111111110110010100001011000000000000000002
- Hexadecimal: 0xBFECA160000
- Base-36: 4OAWYDC00
Squares and roots of 13188940038144
- 13188940038144 squared (131889400381442) is 173948139329757856174964736
- 13188940038144 cubed (131889400381443) is 2294191579366894406214523071157694889984
-
The
square root of 13188940038144 is 3631658.0287995179 -
The
cube root of 13188940038144 is 23626.7125699847
Scales and comparisons
How big is 13188940038144?- 13,188,940,038,144 seconds is equal to 419,367 years, 25 weeks, 5 days, 23 hours, 2 minutes, 24 seconds.
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To count from 1 to 13,188,940,038,144 would take you about one million, forty-eight thousand, four hundred eighteen 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 13188940038144 cubic inches would be around 1968.9 feet tall.
Recreational maths with 13188940038144
- 13188940038144 backwards is 44183004988131
- 13188940038144 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13188940038144's digits is 54
- More coming soon!
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The information we have on file for 13188940038144 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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