138294148608
138,294,148,608 is an even composite number composed of six prime numbers multiplied together.
138294148608 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138294148608:
29 × 34 × 7 × 112 × 31 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 31 × 127)See below for interesting mathematical facts about the number 138294148608 from the Numbermatics database.
Names of 138294148608
- Cardinal: 138294148608 can be written as One hundred thirty-eight billion, two hundred ninety-four million, one hundred forty-eight thousand, six hundred eight.
Scientific notation
- Scientific notation: 1.38294148608 × 1011
Factors of 138294148608
Divisors of 138294148608
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 32 33 36 42 44 48 54 56 62 63 64 66 72 77 81 84 88 93 96 99 108 112 121 124 126 127 128 132 144 154 162 168 176 186 189 192 198 216 217 224 231 242 248 252 254 256 264 279 288 297 308 324 336 341 352 363 372 378 381 384 396 432 434 448 462 484 496 504 508 512 528 558 567 576 594 616 648 651 672 682 693 704 726 744 756 762 768 792 837 847 864 868 889 891 896 924 968 992 1008 1016 1023 1056 1089 1116 1134 1143 1152 1188 1232 1296 1302 1344 1364 1386 1397 1408 1452 1488 1512 1524 1536 1584 1674 1694 1728 1736 1778 1782 1792 1848 1936 1953 1984 2016 2032 2046 2079 2112 2178 2232 2268 2286 2304 2376 2387 2464 2511 2541 2592 2604 2667 2688 2728 2772 2794 2816 2904 2976 3024 3048 3069 3168 3267 3348 3388 3429 3456 3472 3556 3564 3584 3696 3751 3872 3906 3937 3968 4032 4064 4092 4158 4191 4224 4356 4464 4536 4572 4608 4752 4774 4928 5022 5082 5184 5208 5334 5376 5456 5544 5588 5632 5808 5859 5952 6048 6096 6138 6237 6336 6534 6696 6776 6858 6912 6944 7112 7128 7161 7392 7502 7623 7744 7812 7874 7936 8001 8064 8128 8184 8316 8382 8448 8712 8928 9072 9144 9207 9504 9548 9779 9801 9856 10044 10164 10287 10368 10416 10668 10752 10912 11088 11176 11253 11616 11718 11811 11904 12096 12192 12276 12474 12573 12672 13068 13392 13552 13716 13824 13888 14224 14256 14322 14784 15004 15246 15367 15488 15624 15748 15872 16002 16128 16256 16368 16632 16764 16896 17424 17577 17856 18144 18288 18414 19008 19096 19558 19602 19712 20088 20328 20574 20736 20832 21336 21483 21824 22176 22352 22506 22869 23232 23436 23622 23808 24003 24192 24384 24552 24948 25146 25344 26136 26257 26784 27104 27432 27559 27621 27776 28448 28512 28644 29337 29568 30008 30492 30734 30976 31248 31496 32004 32256 32512 32736 33264 33528 33759 34848 35154 35433 35712 36288 36576 36828 37719 38016 38192 39116 39204 39424 40176 40656 41148 41472 41664 42672 42966 43307 43648 44352 44704 45012 45738 46101 46464 46872 47244 47616 48006 48384 48768 49104 49896 50292 50688 52272 52514 53568 54208 54864 55118 55242 55552 56896 57024 57288 58674 59136 60016 60984 61468 61952 62496 62992 64008 64449 65024 65472 66528 67056 67518 68607 69696 70308 70866 71424 72009 72576 73152 73656 75438 76032 76384 78232 78408 78771 80352 81312 82296 82677 83328 85344 85932 86614 87296 88011 88704 89408 90024 91476 92202 92928 93744 94488 96012 96768 97536 98208 99792 100584 101277 104544 105028 106299 107136 107569 108416 109728 110236 110484 111104 113157 113792 114048 114576 117348 118272 120032 121968 122936 124992 125984 128016 128898 129921 130944 133056 134112 135036 137214 138303 139392 140616 141732 142848 144018 145152 146304 147312 150876 152064 152768 156464 156816 157542 160704 162624 164592 165354 166656 170688 171864 173228 174592 176022 177408 178816 180048 182952 184404 185856 187488 188976 192024 193347 195072 196416 199584 201168 202554 209088 210056 212598 214272 215138 216832 219456 220472 220968 226314 227584 228096 229152 234696 236313 240064 243936 245872 248031 249984 251968 256032 257796 259842 261888 264033 266112 268224 270072 274428 276606 278784 281232 283464 288036 290304 292608 294624 301752 303149 303831 305536 312928 313632 315084 318897 321408 322707 325248 329184 330708 333312 341376 343728 346456 352044 354816 357632 360096 365904 368808 374976 377952 384048 386694 389763 392832 399168 402336 405108 414909 418176 420112 425196 428544 430276 433664 438912 440944 441936 452628 455168 456192 458304 469392 472626 476377 480128 487872 491744 496062 499968 503936 512064 515592 519684 523776 528066 532224 536448 540144 548856 553212 557568 562464 566928 576072 585216 589248 603504 606298 607662 611072 625856 627264 630168 637794 642816 645414 650496 658368 661416 682752 687456 692912 704088 708939 715264 720192 731808 737616 744093 749952 755904 768096 773388 779526 785664 792099 798336 804672 810216 829818 836352 840224 850392 860552 877824 881888 883872 905256 909447 916608 938784 945252 952754 960256 968121 975744 983488 992124 999936 1007872 1024128 1031184 1039368 1056132 1064448 1072896 1080288 1097712 1106424 1124928 1133856 1152144 1169289 1178496 1207008 1212596 1215324 1222144 1244727 1251712 1254528 1260336 1275588 1285632 1290828 1300992 1316736 1322832 1365504 1374912 1385824 1408176 1417878 1429131 1440384 1463616 1475232 1488186 1499904 1511808 1536192 1546776 1559052 1571328 1584198 1596672 1609344 1620432 1659636 1672704 1680448 1700784 1721104 1755648 1763776 1767744 1810512 1818894 1833216 1877568 1890504 1905508 1920512 1936242 1951488 1966976 1984248 2015744 2048256 2062368 2078736 2112264 2126817 2145792 2160576 2195424 2212848 2232279 2249856 2267712 2304288 2338578 2356992 2414016 2425192 2430648 2489454 2503424 2509056 2520672 2551176 2581656 2633472 2645664 2728341 2749824 2771648 2816352 2835756 2858262 2880768 2904363 2927232 2950464 2976372 2999808 3023616 3072384 3093552 3118104 3168396 3193344 3218688 3240864 3319272 3334639 3360896 3401568 3442208 3507867 3527552 3535488 3621024 3637788 3666432 3755136 3781008 3811016 3872484 3902976 3933952 3968496 4096512 4124736 4157472 4224528 4253634 4287393 4321152 4390848 4425696 4464558 4499712 4535424 4608576 4677156 4713984 4828032 4850384 4861296 4978908 5006848 5018112 5041344 5102352 5163312 5266944 5291328 5456682 5499648 5543296 5632704 5671512 5716524 5761536 5808726 5854464 5900928 5952744 6047232 6144768 6187104 6236208 6336792 6437376 6481728 6638544 6669278 6721792 6803136 6884416 7015734 7055104 7070976 7242048 7275576 7510272 7562016 7622032 7744968 7867904 7936992 8185023 8249472 8314944 8449056 8507268 8574786 8642304 8713089 8781696 8851392 8929116 8999424 9070848 9217152 9354312 9656064 9700768 9722592 9957816 10003917 10082688 10204704 10326624 10582656 10913364 10999296 11086592 11265408 11343024 11433048 11617452 11708928 11801856 11905488 12289536 12374208 12472416 12673584 12862179 12963456 13277088 13338556 13443584 13606272 13768832 14031468 14110208 14141952 14484096 14551152 15020544 15124032 15244064 15489936 15873984 16370046 16498944 16629888 16898112 17014536 17149572 17284608 17426178 17563392 17702784 17858232 18141696 18434304 18708624 19312128 19401536 19445184 19915632 20007834 20165376 20409408 20653248 21165312 21826728 22173184 22530816 22686048 22866096 23234904 23603712 23810976 24555069 24748416 24944832 25347168 25724358 25926912 26554176 26677112 27212544 27537664 28062936 28968192 29102304 30011751 30248064 30488128 30979872 31747968 32740092 32997888 33259776 33796224 34029072 34299144 34852356 35126784 35405568 35716464 36868608 37417248 38586537 38803072 38890368 39831264 40015668 40330752 40818816 41306496 42330624 43653456 45061632 45372096 45732192 46469808 47621952 49110138 49496832 49889664 50694336 51448716 51853824 53108352 53354224 54425088 55075328 56125872 57936384 58204608 60023502 60496128 60976256 61959744 63495936 65480184 66519552 67592448 68058144 68598288 69704712 70811136 71432928 74834496 77173074 77606144 77780736 79662528 80031336 81637632 82612992 87306912 90035253 90744192 91464384 92939616 95243904 98220276 98993664 99779328 101388672 102897432 106216704 106708448 112251744 116409216 120047004 120992256 121952512 123919488 126991872 130960368 135184896 136116288 137196576 139409424 142865856 149668992 154346148 155212288 155561472 159325056 160062672 163275264 165225984 174613824 180070506 181488384 182928768 185879232 190487808 196440552 199558656 202777344 205794864 212433408 213416896 224503488 232818432 240094008 243905024 247838976 261920736 270105759 272232576 274393152 278818848 285731712 299337984 308692296 318650112 320125344 349227648 360141012 362976768 365857536 371758464 380975616 392881104 405554688 411589728 426833792 449006976 465636864 480188016 495677952 523841472 540211518 544465152 548786304 557637696 571463424 598675968 617384592 637300224 640250688 698455296 720282024 731715072 743516928 785762208 823179456 853667584 898013952 960376032 1047682944 1080423036 1088930304 1097572608 1115275392 1142926848 1234769184 1280501376 1396910592 1440564048 1487033856 1571524416 1646358912 1707335168 1796027904 1920752064 2095365888 2160846072 2195145216 2230550784 2469538368 2561002752 2881128096 3143048832 3292717824 3841504128 4190731776 4321692144 4461101568 4939076736 5122005504 5762256192 6286097664 6585435648 7683008256 8643384288 9878153472 11524512384 12572195328 15366016512 17286768576 19756306944 23049024768 34573537152 46098049536 69147074304 138294148608
- Sum of all divisors σ(n): 539464138752
- Sum of proper divisors (its aliquot sum) s(n): 401169990144
- 138294148608 is an abundant number, because the sum of its proper divisors (401169990144) is greater than itself. Its abundance is 262875841536
Bases of 138294148608
- Binary: 100000001100101111100100111110000000002
- Hexadecimal: 0x2032F93E00
- Base-36: 1RJ4RK00
Squares and roots of 138294148608
- 138294148608 squared (1382941486082) is 19125271539211588337664
- 138294148608 cubed (1382941486083) is 2644913144412080296724624899571712
-
The
square root of 138294148608 is 371879.2123902599 -
The
cube root of 138294148608 is 5171.3182816029
Scales and comparisons
How big is 138294148608?- 138,294,148,608 seconds is equal to 4,397 years, 16 weeks, 6 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 138,294,148,608 would take you about eight thousand, seven hundred ninety-four 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 138294148608 cubic inches would be around 430.9 feet tall.
Recreational maths with 138294148608
- 138294148608 backwards is 806841492831
- 138294148608 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138294148608's digits is 54
- 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 138294148608 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 138294148608 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/138294148608/
Chicago style:
Numbermatics. 2024. "Number 138294148608 - Facts about the integer". https://numbermatics.com/n/138294148608/
The information we have on file for 138294148608 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 138294148608, math, Factors of 138294148608, curriculum, school, college, exams, university, Prime factorization of 138294148608, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, two hundred ninety-four million, one hundred forty-eight thousand, six hundred eight.