138274442345200
138,274,442,345,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 138274442345200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 540 divisors.
138274442345200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 138274442345200:
24 × 52 × 72 × 292 × 47 × 178481
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 29 × 29 × 47 × 178481)See below for interesting mathematical facts about the number 138274442345200 from the Numbermatics database.
Names of 138274442345200
- Cardinal: 138274442345200 can be written as One hundred thirty-eight trillion, two hundred seventy-four billion, four hundred forty-two million, three hundred forty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.382744423452 × 1014
Factors of 138274442345200
Divisors of 138274442345200
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 35 40 47 49 50 56 58 70 80 94 98 100 112 116 140 145 175 188 196 200 203 232 235 245 280 290 329 350 376 392 400 406 464 470 490 560 580 658 700 725 752 784 812 841 940 980 1015 1160 1175 1225 1316 1363 1400 1421 1450 1624 1645 1682 1880 1960 2030 2303 2320 2350 2450 2632 2726 2800 2842 2900 3248 3290 3364 3760 3920 4060 4205 4606 4700 4900 5075 5264 5452 5684 5800 5887 6580 6728 6815 7105 8120 8225 8410 9212 9400 9541 9800 10150 10904 11368 11515 11600 11774 13160 13456 13630 14210 16240 16450 16820 18424 18800 19082 19600 20300 21025 21808 22736 23030 23548 26320 27260 28420 29435 32900 33640 34075 35525 36848 38164 39527 40600 41209 42050 46060 47096 47705 54520 56840 57575 58870 65800 66787 67280 68150 71050 76328 79054 81200 82418 84100 92120 94192 95410 109040 113680 115150 117740 131600 133574 136300 142100 147175 152656 158108 164836 168200 178481 184240 190820 197635 206045 230300 235480 238525 267148 272600 276689 284200 294350 316216 329672 333935 336400 356962 381640 395270 412090 460600 470960 477050 534296 545200 553378 568400 588700 632432 659344 667870 713924 763280 790540 824180 892405 921200 954100 988175 1030225 1068592 1106756 1177400 1249367 1335740 1383445 1427848 1581080 1648360 1669675 1784810 1908200 1936823 1976350 2060450 2213512 2354800 2498734 2671480 2766890 2855696 3162160 3296720 3339350 3569620 3816400 3873646 3952700 4120900 4427024 4462025 4997468 5175949 5342960 5533780 6246835 6678700 6917225 7139240 7747292 7905400 8241800 8388607 8745569 8924050 9684115 9994936 10351898 11067560 12493670 13357400 13834450 14278480 15494584 15810800 16483600 16777214 17491138 17848100 19368230 19989872 20703796 22135120 24987340 25879745 26714800 27668900 30989168 31234175 33554428 34982276 35696200 36231643 38736460 41407592 41943035 43727845 48420575 49974680 51759490 55337800 58720249 62468350 67108856 69964552 71392400 72463286 77472920 82815184 83886070 87455690 96841150 99949360 103518980 110675600 117440498 124936700 129398725 134217712 139929104 144926572 150102521 154945840 167772140 174911380 181158215 193682300 207037960 209715175 218639225 234880996 243269603 249873400 253621501 258797450 289853144 293601245 300205042 335544280 349822760 362316430 387364600 411041743 414075920 419430350 437278450 469761992 486539206 499746800 507243002 517594900 579706288 587202490 600410084 671088560 699645520 724632860 750512605 774729200 822083486 838860700 874556900 905791075 939523984 973078412 1014486004 1035189800 1050717647 1174404980 1200820168 1216348015 1268107505 1449265720 1468006225 1501025210 1644166972 1677721400 1702887221 1749113800 1811582150 1946156824 2028972008 2055208715 2070379600 2101435294 2348809960 2401640336 2432696030 2536215010 2898531440 2936012450 3002050420 3288333944 3355442800 3405774442 3498227600 3623164300 3752563025 3892313648 4057944016 4110417430 4202870588 4697619920 4865392060 5072430020 5253588235 5872024900 6004100840 6081740075 6340537525 6576667888 6811548884 7054818487 7246328600 7355023529 7505126050 8220834860 8405741176 8514436105 9730784120 10144860040 10276043575 10507176470 11744049800 11920210547 12008201680 12163480150 12681075050 13623097768 14109636974 14492657200 14710047058 15010252100 16441669720 16811482352 17028872210 19461568240 20289720080 20552087150 21014352940 23488099600 23840421094 24326960300 25362150100 26267941175 27246195536 28219273948 29420094116 30020504200 32883339440 34057744420 35274092435 36775117645 41104174300 42028705880 42572180525 47680842188 48653920600 49383729409 50724300200 52535882350 56438547896 58840188232 59601052735 60041008400 68115488840 70548184870 73550235290 82208348600 84057411760 85144361050 95361684376 97307841200 98767458818 101448600400 105071764700 112877095792 117680376464 119202105470 136230977680 141096369740 147100470580 164416697200 170288722100 176370462175 183875588225 190723368752 197534917636 210143529400 238404210940 246918647045 282192739480 294200941160 298005263675 340577444200 345686105863 352740924350 367751176450 395069835272 420287058800 476808421880 493837294090 564385478960 588401882320 596010527350 681154888400 691372211726 705481848700 735502352900 790139670544 953616843760 987674588180 1192021054700 1234593235225 1382744423452 1410963697400 1471004705800 1728430529315 1975349176360 2384042109400 2469186470450 2765488846904 2821927394800 2942009411600 3456861058630 3950698352720 4768084218800 4938372940900 5530977693808 6913722117260 8642152646575 9876745881800 13827444234520 17284305293150 19753491763600 27654888469040 34568610586300 69137221172600 138274442345200
- Sum of all divisors σ(n): 408744629553312
- Sum of proper divisors (its aliquot sum) s(n): 270470187208112
- 138274442345200 is an abundant number, because the sum of its proper divisors (270470187208112) is greater than itself. Its abundance is 132195744862912
Bases of 138274442345200
- Binary: 111110111000010100001110000010001111010111100002
- Hexadecimal: 0x7DC287047AF0
- Base-36: 1D0IEGTYB4
Squares and roots of 138274442345200
- 138274442345200 squared (1382744423452002) is 19119821405876038875963040000
- 138274442345200 cubed (1382744423452003) is 2643782642637327146052505188606121408000000
-
The
square root of 138274442345200 is 11759015.3646128041 -
The
cube root of 138274442345200 is 51710.7264046055
Scales and comparisons
How big is 138274442345200?- 138,274,442,345,200 seconds is equal to 4,396,699 years, 28 weeks, 6 days, 6 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,274,442,345,200 would take you about ten million, nine hundred ninety-one thousand, seven hundred forty-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 138274442345200 cubic inches would be around 4309.2 feet tall.
Recreational maths with 138274442345200
- 138274442345200 backwards is 002543244472831
- 138274442345200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138274442345200's digits is 49
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138274442345200 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 138274442345200 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138274442345200/
Chicago style:
Numbermatics. 2024. "Number 138274442345200 - Facts about the integer". https://numbermatics.com/n/138274442345200/
The information we have on file for 138274442345200 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 138274442345200, math, Factors of 138274442345200, curriculum, school, college, exams, university, Prime factorization of 138274442345200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred seventy-four billion, four hundred forty-two million, three hundred forty-five thousand, two hundred.