138513740400
138,513,740,400 is an even composite number composed of seven prime numbers multiplied together.
138513740400 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 138513740400:
24 × 32 × 52 × 7 × 53 × 137 × 757
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 53 × 137 × 757)See below for interesting mathematical facts about the number 138513740400 from the Numbermatics database.
Names of 138513740400
- Cardinal: 138513740400 can be written as One hundred thirty-eight billion, five hundred thirteen million, seven hundred forty thousand, four hundred.
Scientific notation
- Scientific notation: 1.385137404 × 1011
Factors of 138513740400
Divisors of 138513740400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 35 36 40 42 45 48 50 53 56 60 63 70 72 75 80 84 90 100 105 106 112 120 126 137 140 144 150 159 168 175 180 200 210 212 225 240 252 265 274 280 300 315 318 336 350 360 371 400 411 420 424 450 477 504 525 530 548 560 600 630 636 685 700 720 742 757 795 822 840 848 900 954 959 1008 1050 1060 1096 1113 1200 1233 1260 1272 1325 1370 1400 1484 1514 1575 1590 1644 1680 1800 1855 1908 1918 2055 2100 2120 2192 2226 2271 2385 2466 2520 2544 2650 2740 2800 2877 2968 3028 3150 3180 3288 3339 3425 3600 3710 3785 3816 3836 3975 4110 4200 4240 4452 4542 4770 4795 4932 5040 5299 5300 5480 5565 5754 5936 6056 6165 6300 6360 6576 6678 6813 6850 7261 7420 7570 7632 7672 7950 8220 8400 8631 8904 9084 9275 9540 9590 9864 10275 10598 10600 10960 11130 11355 11508 11925 12112 12330 12600 12720 13356 13626 13700 14385 14522 14840 15140 15344 15897 15900 16440 16695 17262 17808 18168 18550 18925 19080 19180 19728 20550 21196 21200 21783 22260 22710 23016 23850 23975 24660 25200 26495 26712 27252 27400 27825 28770 29044 29680 30280 30825 31794 31800 32880 33390 34065 34524 36305 36336 37100 37850 38160 38360 40121 41100 42392 43155 43566 44520 45420 46032 47691 47700 47950 49320 50827 52990 53424 54504 54800 55650 56775 57540 58088 60560 61650 63588 63600 65349 66780 68130 69048 71925 72610 74200 75700 76720 79485 80242 82200 83475 84784 86310 87132 89040 90840 95382 95400 95900 98640 101654 103709 105980 108915 109008 111300 113550 115080 116176 120363 123300 127176 130698 132475 133560 136260 138096 143850 145220 148400 151400 152481 158970 160484 164400 166950 170325 172620 174264 181525 181680 190764 190800 191800 200605 203308 207418 211960 215775 217830 222600 227100 230160 238455 240726 246600 254135 254352 261396 264950 267120 272520 280847 287700 290440 302800 304962 311127 317940 320968 326745 333900 340650 345240 348528 361089 363050 381528 383600 397425 401210 406616 414836 423920 431550 435660 445200 454200 457443 476910 481452 493200 508270 518545 522792 529900 544575 545040 561694 575400 580880 601815 609924 622254 635880 641936 653490 667800 681300 690480 722178 725963 726100 762405 763056 794850 802420 813232 829672 842541 863100 871320 908400 914886 933381 953820 962904 1003025 1016540 1037090 1045584 1059800 1089150 1123388 1150800 1192275 1203630 1219848 1244508 1270675 1271760 1306980 1335600 1362600 1404235 1444356 1451926 1452200 1524810 1555635 1589700 1604840 1633725 1659344 1685082 1726200 1742640 1805445 1829772 1866762 1907640 1925808 2006050 2033080 2074180 2119600 2177889 2178300 2246776 2287215 2384550 2407260 2439696 2489016 2527623 2541350 2592725 2613960 2725200 2808470 2888712 2903852 2904400 3009075 3049620 3111270 3179400 3209680 3267450 3370164 3452400 3610890 3629815 3659544 3733524 3812025 3815280 4012100 4066160 4148360 4212705 4355778 4356600 4493552 4574430 4666905 4769100 4814520 4978032 5055246 5082700 5185450 5227920 5496577 5616940 5777424 5807704 6018150 6099240 6222540 6358800 6533667 6534900 6740328 7021175 7221780 7259630 7319088 7467048 7624050 7778175 8024200 8296720 8425410 8711556 8713200 9027225 9148860 9333810 9538200 9629040 10110492 10165400 10370900 10889445 10993154 11233880 11436075 11615408 12036300 12198480 12445080 12638115 13067334 13069800 13480656 14042350 14443560 14519260 14934096 15248100 15556350 16048400 16489731 16850820 17423112 18054450 18149075 18297720 18667620 19076400 20220984 20330800 20741800 21063525 21778890 21986308 22467760 22872150 23334525 24072600 24890160 25276230 26134668 26139600 27482885 28084700 28887120 29038520 30496200 31112700 32668335 32979462 33701640 34846224 36108900 36298150 36595440 37335240 38476039 40441968 41483600 42127050 43557780 43972616 45744300 46669050 48145200 49469193 50552460 52269336 54447225 54965770 56169400 58077040 60992400 62225400 63190575 65336670 65958924 67403280 72217800 72596300 74670480 76952078 82448655 84254100 87115560 87945232 91488600 93338100 98938386 101104920 104538672 108894450 109931540 112338800 115428117 124450800 126381150 130673340 131917848 137414425 144435600 145192600 153904156 163341675 164897310 168508200 174231120 182977200 186676200 192380195 197876772 202209840 217788900 219863080 230856234 247345965 252762300 261346680 263835696 274828850 290385200 307808312 326683350 329794620 337016400 346284351 373352400 384760390 395753544 412243275 435577800 439726160 461712468 494691930 505524600 522693360 549657700 577140585 615616624 653366700 659589240 692568702 769520780 791507088 824486550 871155600 923424936 961900975 989383860 1011049200 1099315400 1154281170 1236729825 1306733400 1319178480 1385137404 1539041560 1648973100 1731421755 1846849872 1923801950 1978767720 2198630800 2308562340 2473459650 2613466800 2770274808 2885702925 3078083120 3297946200 3462843510 3847603900 3957535440 4617124680 4946919300 5540549616 5771405850 6595892400 6925687020 7695207800 8657108775 9234249360 9893838600 11542811700 13851374040 15390415600 17314217550 19787677200 23085623400 27702748080 34628435100 46171246800 69256870200 138513740400
- Sum of all divisors σ(n): 564545277504
- Sum of proper divisors (its aliquot sum) s(n): 426031537104
- 138513740400 is an abundant number, because the sum of its proper divisors (426031537104) is greater than itself. Its abundance is 287517796704
Bases of 138513740400
- Binary: 100000010000000000111111110010011100002
- Hexadecimal: 0x20400FF270
- Base-36: 1RMRI640
Squares and roots of 138513740400
- 138513740400 squared (1385137404002) is 19186056279598592160000
- 138513740400 cubed (1385137404003) is 2657532418812109210655715264000000
-
The
square root of 138513740400 is 372174.3414046701 -
The
cube root of 138513740400 is 5174.0539445419
Scales and comparisons
How big is 138513740400?- 138,513,740,400 seconds is equal to 4,404 years, 16 weeks, 7 hours.
-
To count from 1 to 138,513,740,400 would take you about eight thousand, eight hundred 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 138513740400 cubic inches would be around 431.2 feet tall.
Recreational maths with 138513740400
- 138513740400 backwards is 004047315831
- 138513740400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138513740400's digits is 36
- More coming soon!
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The information we have on file for 138513740400 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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