1138312375200
1,138,312,375,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 1138312375200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4320 divisors.
1138312375200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 1138312375200:
25 × 34 × 52 × 72 × 11 × 13 × 23 × 109
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 13 × 23 × 109)See below for interesting mathematical facts about the number 1138312375200 from the Numbermatics database.
Names of 1138312375200
- Cardinal: 1138312375200 can be written as One trillion, one hundred thirty-eight billion, three hundred twelve million, three hundred seventy-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.1383123752 × 1012
Factors of 1138312375200
Divisors of 1138312375200
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 23 24 25 26 27 28 30 32 33 35 36 39 40 42 44 45 46 48 49 50 52 54 55 56 60 63 65 66 69 70 72 75 77 78 80 81 84 88 90 91 92 96 98 99 100 104 105 108 109 110 112 115 117 120 126 130 132 135 138 140 143 144 147 150 154 156 160 161 162 165 168 175 176 180 182 184 189 195 196 198 200 207 208 210 216 218 220 224 225 230 231 234 240 245 252 253 260 264 270 273 275 276 280 286 288 294 297 299 300 308 312 315 322 324 325 327 330 336 345 350 351 352 360 364 368 378 385 390 392 396 400 405 414 416 420 429 432 436 440 441 450 455 460 462 468 480 483 490 495 504 506 520 525 528 539 540 545 546 550 552 560 567 572 575 585 588 594 598 600 616 621 624 630 637 644 648 650 654 660 672 675 690 693 700 702 715 720 728 735 736 756 759 763 770 780 784 792 800 805 810 819 825 828 840 858 864 872 880 882 891 897 900 910 920 924 936 945 966 975 980 981 990 1001 1008 1012 1035 1040 1050 1053 1056 1078 1080 1090 1092 1100 1104 1120 1127 1134 1144 1150 1155 1170 1176 1188 1196 1199 1200 1225 1232 1242 1248 1260 1265 1274 1287 1288 1296 1300 1308 1320 1323 1350 1365 1380 1386 1400 1404 1417 1430 1440 1449 1456 1470 1485 1495 1512 1518 1526 1540 1560 1568 1575 1584 1610 1617 1620 1635 1638 1650 1656 1680 1716 1725 1744 1755 1760 1764 1771 1782 1794 1800 1820 1840 1848 1863 1872 1890 1911 1925 1932 1950 1960 1962 1980 2002 2016 2024 2025 2070 2079 2080 2093 2100 2106 2145 2156 2160 2180 2184 2200 2205 2208 2254 2268 2275 2277 2288 2289 2300 2310 2340 2352 2376 2392 2398 2400 2415 2450 2457 2464 2475 2484 2507 2520 2530 2548 2574 2576 2592 2600 2616 2640 2646 2691 2695 2700 2725 2730 2760 2772 2800 2808 2834 2835 2860 2898 2912 2925 2940 2943 2970 2990 3003 3024 3036 3052 3080 3105 3120 3150 3168 3185 3220 3234 3240 3270 3276 3289 3300 3312 3360 3381 3432 3450 3465 3488 3510 3528 3542 3564 3575 3588 3597 3600 3640 3675 3680 3696 3726 3744 3780 3795 3815 3822 3850 3861 3864 3900 3920 3924 3960 3969 4004 4025 4048 4050 4095 4140 4158 4186 4200 4212 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634510800 638783600 642751200 645301800 646768395 648611040 652702050 659891232 663352200 677566890 687386700 689886288 694940400 696215520 702661960 703965600 707026320 718631550 722738016 725964525 729687420 739163880 745945200 749876400 752852100 761412960 766540320 774362160 781807950 785584800 790494705 796022640 803325600 810763800 813080268 821293200 824864040 833928480 843194352 860402400 862357860 870269400 875624904 878327450 883782900 884469600 893494800 899851680 903422520 912109275 916515600 923954850 929234592 948593646 949384800 951766200 958175400 967952700 972916560 985551840 989836848 995028300 1003802800 1010037600 1016350335 1031080050 1034829432 1042410600 1044323280 1053992940 1055948400 1077947325 1081018400 1084107024 1094531130 1099818720 1124814600 1129278150 1137175200 1149810480 1160359200 1161543240 1167499872 1178377200 1204563360 1216145700 1231939800 1237296060 1250892720 1264791528 1269021600 1277567200 1290603600 1293536790 1305404100 1317491175 1326704400 1355133780 1374773400 1379772576 1389880800 1405323920 1414052640 1422890469 1437263100 1451929050 1459374840 1478327760 1491890400 1499752800 1505704200 1546620075 1548724320 1563615900 1580989410 1592045280 1621527600 1626160536 1642586400 1649728080 1686388704 1693917225 1724715720 1740538800 1751249808 1756654900 1767565800 1786989600 1806845040 1824218550 1833031200 1847909700 1897187292 1903532400 1916350800 1935905400 1945833120 1979673696 1990056600 2007605600 2032700670 2062160100 2069658864 2084821200 2088646560 2107985880 2111896800 2155894650 2168214048 2189062260 2249629200 2258556300 2299620960 2323086480 2356754400 2371484115 2432291400 2463879600 2474592120 2501785440 2529583056 2581207200 2587073580 2610808200 2634982350 2653408800 2710267560 2736327825 2749546800 2810647840 2845780938 2874526200 2903858100 2918749680 2956655520 3011408400 3093240150 3127231800 3161978820 3233841975 3243055200 3252321072 3299456160 3387834450 3449431440 3481077600 3502499616 3513309800 3535131600 3613690080 3648437100 3695819400 3794374584 3807064800 3832701600 3871810800 3952473525 3980113200 4065401340 4124320200 4139317728 4169642400 4215971760 4311789300 4378124520 4499258400 4517112600 4646172960 4742968230 4864582800 4927759200 4949184240 5059166112 5081751675 5174147160 5221616400 5269964700 5420535120 5472655650 5499093600 5691561876 5749052400 5807716200 5837499360 6022816800 6186480300 6254463600 6323957640 6467683950 6504642144 6775668900 6898862880 7026619600 7070263200 7114452345 7296874200 7391638800 7588749168 7743621600 7904947050 7960226400 8130802680 8248640400 8431943520 8623578600 8756249040 9034225200 9485936460 9729165600 9898368480 10163503350 10348294320 10443232800 10539929400 10841070240 10945311300 11383123752 11498104800 11615432400 11857420575 12372960600 12508927200 12647915280 12935367900 13551337800 14053239200 14228904690 14593748400 14783277600 15177498336 15809894100 16261605360 16497280800 17247157200 17512498080 18068450400 18971872920 20327006700 20696588640 21079858800 21890622600 22766247504 23230864800 23714841150 24745921200 25295830560 25870735800 27102675600 28457809380 29187496800 31619788200 32523210720 34494314400 35572261725 37943745840 40654013400 42159717600 43781245200 45532495008 47429682300 49491842400 51741471600 54205351200 56915618760 63239576400 71144523450 75887491680 81308026800 87562490400 94859364600 103482943200 113831237520 126479152800 142289046900 162616053600 189718729200 227662475040 284578093800 379437458400 569156187600 1138312375200
- Sum of all divisors σ(n): 5974143880320
- Sum of proper divisors (its aliquot sum) s(n): 4835831505120
- 1138312375200 is an abundant number, because the sum of its proper divisors (4835831505120) is greater than itself. Its abundance is 3697519129920
Bases of 1138312375200
- Binary: 100001001000010001011010001101011101000002
- Hexadecimal: 0x10908B46BA0
- Base-36: EIXLSQ00
Squares and roots of 1138312375200
- 1138312375200 squared (11383123752002) is 1295755063533465575040000
- 1138312375200 cubed (11383123752003) is 1474974024048206103411216235008000000
-
The
square root of 1138312375200 is 1066917.2297793301 -
The
cube root of 1138312375200 is 10441.2818481541
Scales and comparisons
How big is 1138312375200?- 1,138,312,375,200 seconds is equal to 36,194 years, 42 weeks, 1 day, 18 hours.
-
To count from 1 to 1,138,312,375,200 would take you about ninety thousand, four hundred eighty-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 1138312375200 cubic inches would be around 870.1 feet tall.
Recreational maths with 1138312375200
- 1138312375200 backwards is 0025732138311
- 1138312375200 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1138312375200's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 1138312375200 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 1138312375200 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/1138312375200/
Chicago style:
Numbermatics. 2024. "Number 1138312375200 - Facts about the integer". https://numbermatics.com/n/1138312375200/
The information we have on file for 1138312375200 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!
Keywords: Divisors of 1138312375200, math, Factors of 1138312375200, curriculum, school, college, exams, university, Prime factorization of 1138312375200, STEM, science, technology, engineering, physics, economics, calculator, one trillion, one hundred thirty-eight billion, three hundred twelve million, three hundred seventy-five thousand, two hundred.