138838305312
138,838,305,312 is an even composite number composed of seven prime numbers multiplied together.
138838305312 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138838305312:
25 × 34 × 7 × 17 × 47 × 61 × 157
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 17 × 47 × 61 × 157)See below for interesting mathematical facts about the number 138838305312 from the Numbermatics database.
Names of 138838305312
- Cardinal: 138838305312 can be written as One hundred thirty-eight billion, eight hundred thirty-eight million, three hundred five thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38838305312 × 1011
Factors of 138838305312
Divisors of 138838305312
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 47 48 51 54 56 61 63 68 72 81 84 94 96 102 108 112 119 122 126 136 141 144 153 157 162 168 183 188 189 204 216 224 238 244 252 272 282 288 306 314 324 329 336 357 366 376 378 408 423 427 432 459 471 476 488 504 544 549 564 567 612 628 648 658 672 714 732 752 756 799 816 846 854 864 918 942 952 976 987 1008 1037 1071 1098 1099 1128 1134 1224 1256 1269 1281 1296 1316 1377 1413 1428 1464 1504 1512 1598 1632 1647 1692 1708 1836 1884 1904 1952 1974 2016 2074 2142 2196 2198 2256 2268 2397 2448 2512 2538 2562 2592 2632 2669 2754 2826 2856 2867 2928 2961 3024 3111 3196 3213 3294 3297 3384 3416 3672 3768 3807 3808 3843 3948 4148 4239 4284 4392 4396 4512 4536 4794 4896 4941 5024 5076 5124 5264 5338 5508 5593 5652 5712 5734 5856 5922 6048 6222 6392 6426 6588 6594 6768 6832 7191 7259 7344 7379 7536 7614 7686 7896 8007 8296 8478 8568 8601 8784 8792 8883 9072 9333 9577 9588 9639 9882 9891 10152 10248 10528 10676 11016 11186 11304 11424 11468 11529 11844 12444 12717 12784 12852 13176 13188 13536 13664 14382 14518 14688 14758 15072 15228 15372 15792 16014 16592 16779 16956 17136 17202 17568 17584 17766 18144 18666 18683 19154 19176 19278 19764 19782 20069 20304 20496 21352 21573 21777 22032 22137 22372 22608 22936 23058 23688 24021 24888 25434 25568 25704 25803 26352 26376 26649 27999 28731 28764 29036 29516 29673 30456 30744 31584 32028 33184 33558 33912 34272 34404 34587 35168 35532 37332 37366 38308 38352 38556 39528 39564 40138 40608 40992 42704 43146 43554 44064 44274 44744 45216 45872 46116 47376 48042 48739 49776 50337 50868 51408 51606 51653 52704 52752 53298 55998 56049 57462 57528 58072 59032 59346 60207 60912 61488 64056 64719 65331 66411 67039 67116 67824 68808 69174 71064 72063 74664 74732 76616 76704 77112 77409 79056 79128 80276 83997 85408 86193 86292 87108 88548 89019 89488 91744 92232 94752 96084 97478 99552 100674 101736 102816 103212 103306 105504 106596 111996 112098 114924 115056 116144 118064 118692 120414 121824 122976 125443 128112 129438 130662 132822 134078 134232 135648 137616 138348 142128 144126 146217 149328 149464 151011 153232 154224 154818 154959 158112 158256 160552 162809 167994 168147 172386 172584 174216 177096 178038 178976 180621 184464 192168 194956 195993 199233 201117 201348 203472 206424 206612 213192 216189 223992 224196 229848 230112 232227 232288 236128 237384 240828 250886 256224 258579 258876 261324 265644 268156 268464 275232 276696 284256 288252 292434 298656 298928 302022 306464 308448 309636 309918 316512 321104 325618 335988 336294 341173 344772 345168 348432 354192 356076 361242 368928 376329 384336 389912 391986 398466 402234 402696 406944 412848 413224 426384 432378 438651 447984 448392 450119 453033 459696 464454 464877 474768 481656 488427 501772 504441 517158 517752 522648 531288 536312 536928 541863 553392 576504 584868 587979 597699 597856 603351 604044 619272 619836 642208 651236 671976 672588 682346 689544 690336 696864 708384 712152 722484 752658 768672 775737 779824 783972 796932 804468 805392 825696 826448 852768 864756 877302 878101 895968 896784 900238 906066 919392 928908 929754 949536 963312 976854 1003544 1008882 1023519 1034316 1035504 1045296 1062576 1072624 1083726 1106784 1128987 1139663 1153008 1169736 1175958 1195398 1206702 1208088 1238544 1239672 1302472 1315953 1343952 1345176 1350357 1364692 1379088 1394631 1424304 1444968 1465281 1505316 1513323 1551474 1559648 1567944 1593864 1608936 1610784 1625589 1652896 1729512 1754604 1756202 1793568 1800476 1810053 1812132 1857816 1859508 1926624 1953708 2007088 2017764 2047038 2068632 2071008 2090592 2125152 2145248 2167452 2257974 2279326 2306016 2339472 2351916 2390796 2413404 2416176 2477088 2479344 2604944 2631906 2634303 2687904 2690352 2700714 2729384 2758176 2789262 2848608 2889936 2930562 3010632 3026646 3070557 3102948 3135888 3150833 3187728 3217872 3251178 3386961 3418989 3459024 3509208 3512404 3600952 3620106 3624264 3715632 3719016 3907416 3947859 4014176 4035528 4051071 4094076 4137264 4183893 4334904 4395843 4515948 4558652 4678944 4703832 4781592 4826808 4832352 4958688 5209888 5263812 5268606 5380704 5401428 5430159 5458768 5578524 5779872 5861124 6021264 6053292 6141114 6205896 6271776 6301666 6375456 6435744 6502356 6773922 6837978 6918048 7018416 7024808 7201904 7240212 7248528 7431264 7438032 7652023 7814832 7895718 7902909 8071056 8102142 8188152 8274528 8367786 8669808 8791686 9031896 9117304 9211671 9407664 9452499 9563184 9653616 10160883 10256967 10527624 10537212 10802856 10860318 10917536 11157048 11722248 12042528 12106584 12153213 12282228 12411792 12603332 13004712 13187529 13547844 13675956 14036832 14049616 14403808 14480424 14497056 14876064 15304046 15629664 15791436 15805818 16142112 16204284 16376304 16735572 17339616 17583372 18063792 18234608 18423342 18815328 18904998 19126368 19307232 20321766 20513934 21055248 21074424 21605712 21720636 22314096 22956069 23444496 23708727 24213168 24306426 24564456 24823584 25206664 26009424 26375058 27095688 27351912 27635013 28099232 28357497 28960848 30608092 30770901 31582872 31611636 32408568 32752608 33471144 35166744 36127584 36459639 36469216 36846684 37809996 40643532 41027868 42110496 42148848 43211424 43441272 44628192 45912138 46888992 47417454 48426336 48612852 49128912 50413328 52018848 52750116 53564161 54191376 54703824 55270026 56714994 57921696 61216184 61541802 63165744 63223272 64817136 66942288 68868207 70333488 71126181 72919278 73693368 75619992 81287064 82055736 84297696 85072491 86882544 91824276 92312703 94834908 97225704 98257824 100826656 105500232 107128322 108382752 109407648 110540052 113429988 122432368 123083604 126331488 126446544 129634272 133884576 137736414 140666976 142252362 145838556 147386736 151239984 160692483 162574128 164111472 170144982 173765088 183648552 184625406 189669816 194451408 206604621 211000464 214256644 221080104 226859976 244864736 246167208 252893088 255217473 275472828 284504724 291677112 294773472 302479968 321384966 325148256 328222944 340289964 367297104 369250812 379339632 388902816 413209242 422000928 428513288 442160208 453719952 482077449 492334416 510434946 550945656 569009448 583354224 619813863 642769932 680579928 734594208 738501624 758679264 826418484 857026576 884320416 907439904 964154898 984668832 1020869892 1101891312 1138018896 1166708448 1239627726 1285539864 1361159856 1446232347 1477003248 1652836968 1714053152 1928309796 2041739784 2203782624 2276037792 2479255452 2571079728 2722319712 2892464694 2954006496 3305673936 3856619592 4083479568 4338697041 4958510904 5142159456 5784929388 6611347872 7713239184 8166959136 8677394082 9917021808 11569858776 15426478368 17354788164 19834043616 23139717552 34709576328 46279435104 69419152656 138838305312
- Sum of all divisors σ(n): 516152964096
- Sum of proper divisors (its aliquot sum) s(n): 377314658784
- 138838305312 is an abundant number, because the sum of its proper divisors (377314658784) is greater than itself. Its abundance is 238476353472
Bases of 138838305312
- Binary: 100000010100110110100001101010001000002
- Hexadecimal: 0x2053686A20
- Base-36: 1RS4QQ00
Squares and roots of 138838305312
- 138838305312 squared (1388383053122) is 19276075021908127417344
- 138838305312 cubed (1388383053123) is 2676257589108697683183404316131328
-
The
square root of 138838305312 is 372610.1250798213 -
The
cube root of 138838305312 is 5178.0920671789
Scales and comparisons
How big is 138838305312?- 138,838,305,312 seconds is equal to 4,414 years, 32 weeks, 4 days, 19 hours, 55 minutes, 12 seconds.
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To count from 1 to 138,838,305,312 would take you about eight thousand, eight hundred twenty-nine 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 138838305312 cubic inches would be around 431.5 feet tall.
Recreational maths with 138838305312
- 138838305312 backwards is 213503838831
- The number of decimal digits it has is: 12
- The sum of 138838305312's digits is 45
- More coming soon!
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The information we have on file for 138838305312 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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