138513002896800
138,513,002,896,800 is an even composite number composed of six prime numbers multiplied together.
138513002896800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 138513002896800:
25 × 39 × 52 × 7 × 192 × 592
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 19 × 19 × 59 × 59)See below for interesting mathematical facts about the number 138513002896800 from the Numbermatics database.
Names of 138513002896800
- Cardinal: 138513002896800 can be written as One hundred thirty-eight trillion, five hundred thirteen billion, two million, eight hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.385130028968 × 1014
Factors of 138513002896800
Divisors of 138513002896800
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 50 54 56 57 59 60 63 70 72 75 76 80 81 84 90 95 96 100 105 108 112 114 118 120 126 133 135 140 144 150 152 160 162 168 171 175 177 180 189 190 200 210 216 224 225 228 236 240 243 252 266 270 280 285 288 295 300 304 315 324 336 342 350 354 360 361 378 380 399 400 405 413 420 432 450 456 472 475 480 486 504 513 525 531 532 540 560 567 570 590 600 608 630 648 665 672 675 684 700 708 720 722 729 756 760 798 800 810 826 840 855 864 885 900 912 944 945 950 972 1008 1026 1050 1062 1064 1080 1083 1120 1121 1134 1140 1180 1197 1200 1215 1239 1260 1296 1330 1350 1368 1400 1416 1425 1440 1444 1458 1475 1512 1520 1539 1575 1593 1596 1620 1652 1680 1701 1710 1770 1800 1805 1824 1888 1890 1900 1944 1995 2016 2025 2052 2065 2100 2124 2128 2160 2166 2187 2242 2268 2280 2360 2394 2400 2430 2478 2520 2527 2565 2592 2655 2660 2700 2736 2800 2832 2835 2850 2888 2916 2950 3024 3040 3078 3150 3186 3192 3240 3249 3304 3325 3360 3363 3402 3420 3481 3540 3591 3600 3610 3645 3717 3780 3800 3888 3990 4050 4104 4130 4200 4248 4256 4275 4320 4332 4374 4425 4484 4536 4560 4617 4720 4725 4779 4788 4860 4956 5040 5054 5103 5130 5310 5320 5400 5415 5472 5600 5605 5664 5670 5700 5776 5832 5900 5985 6048 6075 6156 6195 6300 6372 6384 6480 6498 6561 6608 6650 6726 6804 6840 6962 7080 7182 7200 7220 7290 7434 7560 7581 7600 7695 7776 7847 7965 7980 8100 8208 8260 8400 8496 8505 8550 8664 8748 8850 8968 9025 9072 9120 9234 9440 9450 9558 9576 9720 9747 9912 9975 10080 10089 10108 10206 10260 10325 10443 10620 10640 10773 10800 10830 10935 11151 11210 11340 11400 11552 11664 11800 11970 12150 12312 12390 12600 12635 12744 12768 12825 12960 12996 13122 13216 13275 13300 13452 13608 13680 13851 13924 14160 14175 14337 14364 14440 14580 14868 15120 15162 15200 15309 15390 15694 15930 15960 16200 16245 16416 16520 16800 16815 16992 17010 17100 17328 17405 17496 17700 17936 17955 18050 18144 18225 18468 18585 18900 19116 19152 19440 19494 19683 19824 19950 20178 20216 20412 20520 20650 20886 21240 21280 21299 21546 21600 21660 21870 22302 22420 22680 22743 22800 23085 23328 23541 23600 23895 23940 24300 24367 24624 24780 25200 25270 25488 25515 25650 25992 26244 26550 26600 26904 27075 27216 27360 27702 27848 28025 28320 28350 28674 28728 28880 29160 29241 29736 29925 30240 30267 30324 30618 30780 30975 31329 31388 31860 31920 32319 32400 32490 32805 33040 33453 33630 34020 34200 34656 34810 34992 35400 35872 35910 36100 36450 36936 37170 37800 37905 38232 38304 38475 38880 38988 39235 39366 39648 39825 39900 40356 40432 40824 41040 41300 41553 41772 42480 42525 42598 43011 43092 43320 43740 44604 44840 45360 45486 45600 45927 46170 47082 47200 47790 47880 48600 48734 48735 49248 49560 50400 50445 50540 50976 51030 51300 51984 52215 52488 53100 53200 53808 53865 54150 54432 54675 55404 55696 55755 56050 56700 57348 57456 57760 58320 58482 59472 59850 60534 60648 61236 61560 61950 62658 62776 63175 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190004119200 191846264400 192379170690 195639834600 197875718424 202504390200 205204448736 206120540025 208290229920 213754634100 219861909360 227817438975 230855004828 234767801520 243005268240 244291010400 247344648030 256505560920 260362787400 260853112800 263834291232 270005853600 274827386700 285006178800 288568756035 291606321888 293459751900 303756585300 307806673104 320631951150 329792864040 335382573600 342007414560 346282507242 347150383200 364507902360 366436515600 383692528800 384758341380 391279669200 395751436848 405008780400 412241080050 427509268200 439723818720 455634877950 461710009656 469535603040 480947926725 486010536480 494689296060 513011121840 520725574800 549654773400 570012357600 577137512070 586919503800 607513170600 615613346208 618361620075 641263902300 659585728080 692565014484 729015804720 732873031200 769516682760 782559338400 791502873696 810017560800 824482160100 855018536400 865706268105 911269755900 923420019312 961895853450 989378592120 1026022243680 1041451149600 1099309546800 1154275024140 1173839007600 1215026341200 1236723240150 1282527804600 1319171456160 1385130028968 1442843780175 1458031609440 1539033365520 1648964320200 1710037072800 1731412536210 1822539511800 1846840038624 1923791706900 1978757184240 2198619093600 2308550048280 2347678015200 2430052682400 2473446480300 2565055609200 2770260057936 2885687560350 3078066731040 3297928640400 3462825072420 3645079023600 3847583413800 3957514368480 4328531340525 4617100096560 4946892960600 5130111218400 5540520115872 5771375120700 6595857280800 6925650144840 7290158047200 7695166827600 8657062681050 9234200193120 9893785921200 11542750241400 13851300289680 15390333655200 17314125362100 19787571842400 23085500482800 27702600579360 34628250724200 46171000965600 69256501448400 138513002896800
- Sum of all divisors σ(n): 622326549864096
- Sum of proper divisors (its aliquot sum) s(n): 483813546967296
- 138513002896800 is an abundant number, because the sum of its proper divisors (483813546967296) is greater than itself. Its abundance is 345300544070496
Bases of 138513002896800
- Binary: 111110111111010000100100101010110011101101000002
- Hexadecimal: 0x7DFA12559DA0
- Base-36: 1D3JZTMI00
Squares and roots of 138513002896800
- 138513002896800 squared (1385130028968002) is 19185851971488925191450240000
- 138513002896800 cubed (1385130028968003) is 2657489969704421486052465587713055232000000
-
The
square root of 138513002896800 is 11769154.7231226423 -
The
cube root of 138513002896800 is 51740.4476160675
Scales and comparisons
How big is 138513002896800?- 138,513,002,896,800 seconds is equal to 4,404,285 years, 2 weeks, 1 day, 18 hours.
-
To count from 1 to 138,513,002,896,800 would take you about eleven million, ten thousand, seven hundred twelve 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 138513002896800 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138513002896800
- 138513002896800 backwards is 008698200315831
- 138513002896800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138513002896800's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138513002896800 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138513002896800 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138513002896800/
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Numbermatics. 2024. "Number 138513002896800 - Facts about the integer". https://numbermatics.com/n/138513002896800/
The information we have on file for 138513002896800 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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