138284716385312
138,284,716,385,312 is an even composite number composed of five prime numbers multiplied together.
138284716385312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138284716385312:
25 × 72 × 192 × 31 × 1993
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 19 × 19 × 31 × 199 × 199 × 199)See below for interesting mathematical facts about the number 138284716385312 from the Numbermatics database.
Names of 138284716385312
- Cardinal: 138284716385312 can be written as One hundred thirty-eight trillion, two hundred eighty-four billion, seven hundred sixteen million, three hundred eighty-five thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38284716385312 × 1014
Factors of 138284716385312
Divisors of 138284716385312
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 76 98 112 124 133 152 196 199 217 224 248 266 304 361 392 398 434 496 532 589 608 722 784 796 868 931 992 1064 1178 1393 1444 1519 1568 1592 1736 1862 2128 2356 2527 2786 2888 3038 3184 3472 3724 3781 4123 4256 4712 5054 5572 5776 6076 6169 6368 6944 7448 7562 8246 9424 9751 10108 11144 11191 11552 12152 12338 14896 15124 16492 17689 18848 19502 20216 22288 22382 24304 24676 26467 28861 29792 30248 32984 35378 39004 39601 40432 43183 44576 44764 48608 49352 52934 57722 60496 65968 70756 71839 78008 78337 79202 80864 86366 89528 98704 105868 115444 117211 120992 131936 141512 143678 156016 156674 158404 172732 179056 185269 197408 211736 230888 234422 277207 283024 287356 302281 312032 313348 316808 345464 358112 370538 423472 461776 468844 502873 548359 554414 566048 574712 604562 626696 633616 690928 741076 752419 820477 846944 923552 937688 1005746 1096718 1108828 1149424 1209124 1227631 1253392 1267232 1381856 1482152 1504838 1640954 1875376 1940449 2011492 2193436 2217656 2227009 2298848 2418248 2455262 2506784 2964304 3009676 3281908 3520111 3750752 3880898 4022984 4386872 4435312 4454018 4836496 4910524 5266933 5743339 5928608 6019352 6563816 7040222 7761796 7880599 8045968 8593417 8773744 8870624 8908036 9672992 9821048 10533866 11486678 12038704 13127632 14080444 14295961 15523592 15589063 15761198 16091936 17186834 17547488 17816072 19642096 21067732 22973356 23324989 24077408 26255264 28160888 28591922 31047184 31178126 31522396 34373668 35632144 36868531 39284192 42135464 45946712 46649978 55164193 56321776 57183844 60153919 62094368 62356252 63044792 68747336 71264288 73737062 84270928 91893424 93299956 100071727 109123441 110328386 112643552 114367688 120307838 124712504 126089584 137494672 147474124 149731381 163274923 168541856 183786848 186599912 200143454 218246882 220656772 228735376 240615676 244298569 249425008 252179168 274989344 294948248 299462762 326549846 373199824 386149351 400286908 436493764 441313544 443174791 457470752 481231352 488597138 498850016 589896496 598925524 653099692 700502089 746399648 772298702 800573816 872987528 882627088 886349582 962462704 977194276 1048119667 1142924461 1179792992 1197851048 1306199384 1401004178 1544597404 1601147632 1710089983 1745975056 1765254176 1772699164 1924925408 1954388552 2096239334 2285848922 2395702096 2612398768 2802008356 2844896239 3089194808 3102223537 3202295264 3420179966 3491950112 3545398328 3908777104 4192478668 4571697844 4641672811 4791404192 5224797536 5604016712 5689792478 6178389616 6204447074 6840359932 7090796656 7336837669 7817554208 8384957336 9143395688 9283345622 11208033424 11379584956 11970629881 12356779232 12408894148 13680719864 14181593312 14673675338 16769914672 18286791376 18566691244 19914273673 21715564759 22416066848 22759169912 23941259762 24817788296 27361439728 29347350676 32491709677 33539829344 36573582752 37133382488 39828547346 43431129518 45518339824 47882519524 49635576592 54722879456 58694701352 64983419354 74266764976 79657094692 86862259036 88191783409 91036679648 95765039048 99271153184 117389402704 129966838708 139399915711 148533529952 159314189384 173724518072 176383566818 191530078096 227441967739 234778805408 259933677416 278799831422 318628378768 347449036144 352767133636 383060156192 454883935478 519867354832 557599662844 617342483863 637256757536 694898072288 705534267272 909767870956 1039734709664 1115199325688 1234684967726 1411068534544 1819535741912 2230398651376 2469369935452 2822137069088 3639071483824 4321397387041 4460797302752 4938739870904 7278142967648 8642794774082 9877479741808 17285589548164 19754959483616 34571179096328 69142358192656 138284716385312
- Sum of all divisors σ(n): 346766770828800
- Sum of proper divisors (its aliquot sum) s(n): 208482054443488
- 138284716385312 is an abundant number, because the sum of its proper divisors (208482054443488) is greater than itself. Its abundance is 70197338058176
Bases of 138284716385312
- Binary: 111110111000100111010110110010111100100001000002
- Hexadecimal: 0x7DC4EB65E420
- Base-36: 1D0N4DQAE8
Squares and roots of 138284716385312
- 138284716385312 squared (1382847163853122) is 19122662785766177131249337344
- 138284716385312 cubed (1382847163853123) is 2644371999861636090309646582599178974691328
-
The
square root of 138284716385312 is 11759452.2145086333 -
The
cube root of 138284716385312 is 51712.0071062559
Scales and comparisons
How big is 138284716385312?- 138,284,716,385,312 seconds is equal to 4,397,026 years, 12 weeks, 2 days, 18 hours, 8 minutes, 32 seconds.
-
To count from 1 to 138,284,716,385,312 would take you about ten million, nine hundred ninety-two thousand, five hundred sixty-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 138284716385312 cubic inches would be around 4309.3 feet tall.
Recreational maths with 138284716385312
- 138284716385312 backwards is 213583617482831
- 138284716385312 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138284716385312's digits is 62
- More coming soon!
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The information we have on file for 138284716385312 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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