138448505395200
138,448,505,395,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138448505395200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
138448505395200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138448505395200:
211 × 3 × 52 × 7 × 11 × 13 × 312 × 937
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 13 × 31 × 31 × 937)See below for interesting mathematical facts about the number 138448505395200 from the Numbermatics database.
Names of 138448505395200
- Cardinal: 138448505395200 can be written as One hundred thirty-eight trillion, four hundred forty-eight billion, five hundred five million, three hundred ninety-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.384485053952 × 1014
Factors of 138448505395200
Divisors of 138448505395200
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 31 32 33 35 39 40 42 44 48 50 52 55 56 60 62 64 65 66 70 75 77 78 80 84 88 91 93 96 100 104 105 110 112 120 124 128 130 132 140 143 150 154 155 156 160 165 168 175 176 182 186 192 195 200 208 210 217 220 224 231 240 248 256 260 264 273 275 280 286 300 308 310 312 320 325 330 336 341 350 352 364 372 384 385 390 400 403 416 420 429 434 440 448 455 462 465 480 496 512 520 525 528 546 550 560 572 600 616 620 624 640 650 651 660 672 682 700 704 715 728 744 768 770 775 780 800 806 825 832 840 858 868 880 896 910 924 930 937 960 961 975 992 1001 1023 1024 1040 1050 1056 1085 1092 1100 1120 1144 1155 1200 1209 1232 1240 1248 1280 1300 1302 1320 1344 1364 1365 1400 1408 1430 1456 1488 1536 1540 1550 1560 1600 1612 1650 1664 1680 1705 1716 1736 1760 1792 1820 1848 1860 1874 1920 1922 1925 1950 1984 2002 2015 2046 2048 2080 2100 2112 2145 2170 2184 2200 2240 2275 2288 2310 2325 2387 2400 2418 2464 2480 2496 2560 2600 2604 2640 2688 2728 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270407237100 279130051200 288434386240 297738721280 299672089600 304282429440 309036842400 314655694080 319005772800 322723788800 329639298560 332808907200 343544678400 346121263488 354996167680 359606507520 360542982800 372173401600 380353036800 393319617600 395567158272 406007347200 412049123200 419540925440 425995401216 432651579360 443745209600 446608081920 449508134400 461495017984 484085683200 494458947840 503449110528 507137382400 524426156800 532494251520 540814474200 558260102400 576868772480 599344179200 618073684800 629311388160 638011545600 659278597120 665617814400 692242526976 709992335360 721085965600 744346803200 760706073600 786639235200 791134316544 824098246400 839081850880 865303158720 887490419200 893216163840 899016268800 922990035968 968171366400 988917895680 1048852313600 1064988503040 1081628948400 1116520204800 1153737544960 1236147369600 1258622776320 1318557194240 1331235628800 1384485053952 1442171931200 1488693606400 1521412147200 1573278470400 1648196492800 1730606317440 1774980838400 1798032537600 1845980071936 1977835791360 2097704627200 2129977006080 2163257896800 2233040409600 2307475089920 2472294739200 2517245552640 2662471257600 2768970107904 2884343862400 3146556940800 3296392985600 3461212634880 3549961676800 3955671582720 4195409254400 4326515793600 4466080819200 4614950179840 4944589478400 5324942515200 5537940215808 5768687724800 6293113881600 6592785971200 6922425269760 8653031587200 9229900359680 9889178956800 10649885030400 11537375449600 12586227763200 13844850539520 17306063174400 19778357913600 23074750899200 27689701079040 34612126348800 46149501798400 69224252697600 138448505395200
- Sum of all divisors σ(n): 635663019962880
- Sum of proper divisors (its aliquot sum) s(n): 497214514567680
- 138448505395200 is an abundant number, because the sum of its proper divisors (497214514567680) is greater than itself. Its abundance is 358766009172480
Bases of 138448505395200
- Binary: 111110111101011000011011111101111011000000000002
- Hexadecimal: 0x7DEB0DFBD800
- Base-36: 1D2QD5H79C
Squares and roots of 138448505395200
- 138448505395200 squared (1384485053952002) is 19167988646164723508183040000
- 138448505395200 cubed (1384485053952003) is 2653779379493669066410595884789137408000000
-
The
square root of 138448505395200 is 11766414.2964286277 -
The
cube root of 138448505395200 is 51732.4155236847
Scales and comparisons
How big is 138448505395200?- 138,448,505,395,200 seconds is equal to 4,402,234 years, 11 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 138,448,505,395,200 would take you about eleven million, five thousand, five hundred eighty-five 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 138448505395200 cubic inches would be around 4311 feet tall.
Recreational maths with 138448505395200
- 138448505395200 backwards is 002593505844831
- The number of decimal digits it has is: 15
- The sum of 138448505395200's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 138448505395200 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 138448505395200 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138448505395200/
Chicago style:
Numbermatics. 2024. "Number 138448505395200 - Facts about the integer". https://numbermatics.com/n/138448505395200/
The information we have on file for 138448505395200 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 138448505395200, math, Factors of 138448505395200, curriculum, school, college, exams, university, Prime factorization of 138448505395200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred forty-eight billion, five hundred five million, three hundred ninety-five thousand, two hundred.