138810938112
138,810,938,112 is an even composite number composed of seven prime numbers multiplied together.
138810938112 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138810938112:
28 × 33 × 72 × 11 × 19 × 37 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 19 × 37 × 53)See below for interesting mathematical facts about the number 138810938112 from the Numbermatics database.
Names of 138810938112
- Cardinal: 138810938112 can be written as One hundred thirty-eight billion, eight hundred ten million, nine hundred thirty-eight thousand, one hundred twelve.
Scientific notation
- Scientific notation: 1.38810938112 × 1011
Factors of 138810938112
Divisors of 138810938112
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 27 28 32 33 36 37 38 42 44 48 49 53 54 56 57 63 64 66 72 74 76 77 84 88 96 98 99 106 108 111 112 114 126 128 132 133 144 147 148 152 154 159 168 171 176 189 192 196 198 209 212 216 222 224 228 231 252 256 259 264 266 288 294 296 297 304 308 318 333 336 342 352 371 378 384 392 396 399 407 418 424 432 441 444 448 456 462 477 504 513 518 528 532 539 576 583 588 592 594 608 616 627 636 666 672 684 693 703 704 742 756 768 777 784 792 798 814 836 848 864 882 888 896 912 924 931 954 999 1007 1008 1026 1036 1056 1064 1078 1113 1152 1166 1176 1184 1188 1197 1216 1221 1232 1254 1272 1323 1332 1344 1368 1386 1406 1408 1431 1463 1484 1512 1554 1568 1584 1596 1617 1628 1672 1696 1728 1749 1764 1776 1792 1813 1824 1848 1862 1881 1908 1961 1998 2014 2016 2052 2072 2079 2109 2112 2128 2156 2226 2304 2331 2332 2352 2368 2376 2394 2432 2442 2464 2508 2544 2597 2646 2664 2688 2736 2772 2793 2812 2816 2849 2862 2926 2968 3021 3024 3108 3136 3168 3192 3234 3256 3339 3344 3392 3456 3498 3528 3552 3591 3626 3648 3663 3696 3724 3762 3816 3922 3996 4028 4032 4081 4104 4144 4158 4218 4224 4256 4312 4389 4452 4662 4664 4704 4736 4752 4788 4851 4864 4884 4921 4928 5016 5088 5194 5247 5292 5328 5376 5439 5472 5544 5586 5624 5643 5698 5724 5852 5883 5936 6042 6048 6216 6272 6327 6336 6384 6468 6512 6678 6688 6784 6912 6993 6996 7049 7056 7104 7182 7252 7296 7326 7392 7448 7524 7632 7733 7791 7844 7992 8056 8064 8162 8208 8288 8316 8379 8436 8448 8512 8547 8624 8778 8904 9063 9324 9328 9408 9472 9504 9576 9702 9768 9842 9856 10017 10032 10176 10241 10388 10494 10584 10656 10878 10944 10989 11077 11088 11172 11248 11286 11396 11448 11704 11766 11872 12084 12096 12243 12432 12544 12654 12672 12768 12936 13024 13167 13356 13376 13568 13727 13986 13992 14098 14112 14208 14364 14504 14553 14592 14652 14763 14784 14896 15048 15264 15466 15582 15688 15741 15984 16112 16128 16317 16324 16416 16576 16632 16758 16872 17024 17094 17248 17556 17649 17808 18126 18648 18656 18816 18981 19008 19152 19404 19536 19684 19712 19943 20034 20064 20352 20482 20776 20988 21147 21168 21312 21571 21756 21888 21978 22154 22176 22344 22496 22572 22792 22896 23199 23373 23408 23532 23744 24168 24192 24486 24864 25137 25308 25344 25536 25641 25872 26048 26334 26712 26752 27189 27454 27972 27984 28196 28224 28416 28567 28728 29008 29106 29304 29526 29568 29792 30096 30528 30723 30932 31164 31376 31482 31968 32224 32634 32648 32832 33152 33231 33264 33516 33744 34048 34188 34447 34496 35112 35298 35616 36252 36729 37259 37296 37312 37632 37962 38016 38304 38808 39072 39368 39501 39886 40068 40128 40704 40964 41181 41552 41976 42294 42336 42624 43142 43512 43776 43956 44289 44308 44352 44688 44992 45144 45584 45792 46398 46746 46816 47064 47488 48336 48384 48951 48972 49343 49728 50274 50616 51072 51282 51744 52096 52668 52947 53424 53504 54131 54378 54908 55944 55968 56392 56448 57134 57456 58016 58212 58608 59052 59136 59584 59829 60192 61056 61446 61864 62328 62752 62964 63441 63936 64448 64713 65268 65296 65664 66304 66462 66528 67032 67488 68376 68894 68992 69597 70119 70224 70596 71232 72504 73458 74518 74592 74624 75924 76032 76608 76923 77539 77616 78144 78736 79002 79772 80136 80256 81928 82362 83104 83952 84588 84672 85248 85701 86284 87024 87912 88578 88616 88704 89376 89984 90288 91168 91584 92169 92796 93492 93632 94128 94976 96089 96672 97902 97944 98686 99456 99693 100548 101232 102144 102564 103341 103488 104192 105336 105894 106848 108262 108756 109816 110187 111777 111888 111936 112784 112896 114268 114912 116032 116424 117216 118104 119168 119658 120384 122112 122892 123543 123728 124656 125504 125928 126882 127872 128896 129426 130536 130592 131328 132867 132924 133056 134064 134976 136752 137788 137984 139194 140238 140448 141192 142464 145008 146916 148029 149036 149184 149248 150997 151848 153216 153846 155078 155232 156288 157472 158004 159544 160272 160512 162393 163856 164724 166208 167904 169176 169344 171402 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228307464 233688448 234477936 236073024 238097664 240991212 257534208 260922816 262899504 267974784 270586624 275418528 291008256 300456576 304409952 309845844 312637248 314764032 321321616 327384288 332083584 341058816 347897088 350532672 354109536 361486818 367224704 374153472 394349256 405879936 413127792 416849664 436512384 450684864 456614928 467376896 468955872 472146048 481982424 521845632 525799008 535949568 542230227 550837056 600913152 608819904 619691688 625274496 642643232 654768576 664167168 701065344 708219072 722973636 734449408 788698512 811759872 826255584 873024768 901369728 913229856 937911744 944292096 963964848 1043691264 1051598016 1084460454 1101674112 1217639808 1239383376 1250548992 1285286464 1309537152 1402130688 1416438144 1445947272 1577397024 1652511168 1802739456 1826459712 1875823488 1927929696 2103196032 2168920908 2203348224 2435279616 2478766752 2570572928 2619074304 2832876288 2891894544 3154794048 3305022336 3652919424 3751646976 3855859392 4206392064 4337841816 4957533504 5141145856 5783789088 6309588096 6610044672 7305838848 7711718784 8675683632 9915067008 11567578176 12619176192 15423437568 17351367264 19830134016 23135156352 34702734528 46270312704 69405469056 138810938112
- Sum of all divisors σ(n): 573778598400
- Sum of proper divisors (its aliquot sum) s(n): 434967660288
- 138810938112 is an abundant number, because the sum of its proper divisors (434967660288) is greater than itself. Its abundance is 296156722176
Bases of 138810938112
- Binary: 100000010100011100011011010011000000002
- Hexadecimal: 0x2051C6D300
- Base-36: 1RROG5C0
Squares and roots of 138810938112
- 138810938112 squared (1388109381122) is 19268476539533494124544
- 138810938112 cubed (1388109381123) is 2674675304441707774273192804220928
-
The
square root of 138810938112 is 372573.3996301937 -
The
cube root of 138810938112 is 5177.7518171953
Scales and comparisons
How big is 138810938112?- 138,810,938,112 seconds is equal to 4,413 years, 39 weeks, 3 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 138,810,938,112 would take you about eight thousand, eight hundred twenty-seven 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 138810938112 cubic inches would be around 431.5 feet tall.
Recreational maths with 138810938112
- 138810938112 backwards is 211839018831
- The number of decimal digits it has is: 12
- The sum of 138810938112's digits is 45
- More coming soon!
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"Number 138810938112 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 138810938112 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138810938112/
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The information we have on file for 138810938112 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 138810938112, math, Factors of 138810938112, curriculum, school, college, exams, university, Prime factorization of 138810938112, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, eight hundred ten million, nine hundred thirty-eight thousand, one hundred twelve.