138399625776384
138,399,625,776,384 is an even composite number composed of six prime numbers multiplied together.
138399625776384 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138399625776384:
28 × 35 × 7 × 19 × 43 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 19 × 43 × 73 × 73 × 73)See below for interesting mathematical facts about the number 138399625776384 from the Numbermatics database.
Names of 138399625776384
- Cardinal: 138399625776384 can be written as One hundred thirty-eight trillion, three hundred ninety-nine billion, six hundred twenty-five million, seven hundred seventy-six thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.38399625776384 × 1014
Factors of 138399625776384
Divisors of 138399625776384
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 43 48 54 56 57 63 64 72 73 76 81 84 86 96 108 112 114 126 128 129 133 144 146 152 162 168 171 172 189 192 216 219 224 228 243 252 256 258 266 288 292 301 304 324 336 342 344 378 384 387 399 432 438 448 456 486 504 511 513 516 532 567 576 584 602 608 648 657 672 684 688 756 768 774 798 817 864 876 896 903 912 972 1008 1022 1026 1032 1064 1134 1152 1161 1168 1197 1204 1216 1296 1314 1344 1368 1376 1387 1512 1533 1539 1548 1596 1634 1701 1728 1752 1792 1806 1824 1944 1971 2016 2044 2052 2064 2128 2268 2304 2322 2336 2394 2408 2432 2451 2592 2628 2688 2709 2736 2752 2774 3024 3066 3078 3096 3139 3192 3268 3402 3456 3483 3504 3591 3612 3648 3888 3942 4032 4088 4104 4128 4161 4256 4536 4599 4617 4644 4672 4788 4816 4864 4902 5184 5256 5329 5376 5418 5472 5504 5548 5719 5913 6048 6132 6156 6192 6278 6384 6536 6804 6912 6966 7008 7182 7224 7296 7353 7776 7884 8064 8127 8176 8208 8256 8322 8512 9072 9198 9234 9288 9344 9417 9576 9632 9709 9804 10368 10449 10512 10658 10773 10836 10944 11008 11096 11438 11826 12096 12264 12312 12384 12483 12556 12768 13072 13608 13797 13932 14016 14364 14448 14592 14706 15552 15768 15987 16128 16254 16352 16416 16512 16644 17024 17157 17739 18144 18396 18468 18576 18688 18834 19152 19264 19418 19608 20736 20898 21024 21316 21546 21672 21888 21973 22059 22192 22876 23652 24192 24381 24528 24624 24768 24966 25112 25536 26144 27216 27594 27864 28032 28251 28728 28896 29127 29412 31104 31536 31974 32319 32508 32704 32832 33024 33288 34048 34314 35478 36288 36792 36936 37152 37303 37449 37668 38304 38528 38836 39216 41391 41796 42048 42632 43092 43344 43776 43946 44118 44384 45752 47304 47961 48384 48762 49056 49248 49536 49932 50224 51072 51471 52288 54432 55188 55728 56064 56502 57456 57792 58254 58824 59641 62208 63072 63948 64638 65016 65408 65664 65919 66177 66576 68628 70956 72576 73143 73584 73872 74304 74606 74898 75336 76608 77056 77672 78432 82782 83592 84096 84753 85264 86184 86688 87381 87892 88236 88768 91504 94608 95922 97524 98112 98496 99072 99864 100448 101251 102144 102942 104576 108864 110376 111456 111909 112347 113004 114912 115584 116508 117648 119282 124173 126144 127896 129276 130032 130816 131328 131838 132354 133152 137256 141912 143883 145152 146286 147168 147744 148608 149212 149796 150672 153216 154413 155344 156864 165564 167184 168192 169506 170528 172368 173376 174762 175784 176472 177536 178923 183008 189216 191844 195048 196224 196992 197757 198531 199728 200896 202502 205884 209152 217728 220752 222912 223818 224694 226008 229147 229824 231168 233016 235296 238564 248346 252288 254259 255792 258552 260064 262143 263676 264708 266304 274512 283824 287766 292572 294336 295488 297216 298424 299592 301344 303753 306432 308826 310688 313728 331128 334368 335727 337041 339012 341056 344736 346752 349524 351568 352944 355072 357846 366016 378432 383688 389017 390096 392448 393984 395514 397062 399456 401792 405004 411768 417487 431649 435456 441504 445824 447636 449388 452016 458294 459648 463239 466032 470592 477128 496692 504576 508518 511584 517104 520128 524286 527352 529416 532608 536769 549024 567648 575532 585144 588672 590976 593271 596848 599184 602688 607506 617652 621376 627456 662256 668736 671454 674082 678024 682112 687441 689472 693504 699048 703136 705888 708757 715692 732032 756864 762777 767376 778034 780192 786429 791028 794124 798912 803584 810008 823536 834974 863298 883008 891648 895272 898776 904032 911259 916588 919296 926478 932064 941184 954256 993384 1007181 1017036 1023168 1034208 1040256 1048572 1054704 1058832 1065216 1073538 1098048 1135296 1151064 1167051 1170288 1177344 1181952 1186542 1193696 1198368 1205376 1215012 1235304 1242752 1252461 1294947 1324512 1337472 1342908 1348164 1356048 1364224 1374882 1378944 1389717 1398096 1406272 1411776 1417514 1431384 1464064 1513728 1525554 1534752 1556068 1560384 1572858 1582056 1588248 1597824 1604029 1610307 1620016 1647072 1669948 1726596 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67054082256 67446211392 67710188736 68650608024 70217973504 71193223136 75876987816 76633236864 77231934027 78995220192 80092376028 81363683584 84699893376 86716557504 89405443008 89928281856 90280251648 91534144032 99783436032 100581123384 101169317088 102975912036 105326960256 106789834704 113815481724 114949855296 115622076672 118492830288 119207257344 120138564042 122045525376 130074836256 134108164512 134892422784 135420377472 137301216048 142386446272 151753975632 153266473728 154463868054 157990440384 160184752056 169399786752 173433115008 178810886016 180207846063 183068288064 201162246768 202338634176 205951824072 210653920512 213579669408 227630963448 229899710592 236985660576 240277128084 244091050752 260149672512 268216329024 269784845568 270840754944 274602432096 284772892544 303507951264 308927736108 315980880768 320369504112 346866230016 357621772032 360415692126 366136576128 402324493536 404677268352 411903648144 427159338816 455261926896 459799421184 473971321152 480554256168 520299345024 536432658048 540623538189 549204864192 569545785088 607015902528 617855472216 631961761536 640739008224 720831384252 732273152256 804648987072 809354536704 823807296288 854318677632 910523853792 947942642304 961108512336 1040598690048 1072865316096 1081247076378 1098409728384 1214031805056 1235710944432 1281478016448 1441662768504 1609297974144 1647614592576 1708637355264 1821047707584 1895885284608 1922217024672 2162494152756 2196819456768 2428063610112 2471421888864 2562956032896 2883325537008 3218595948288 3295229185152 3642095415168 3844434049344 4324988305512 4942843777728 5125912065792 5766651074016 6590458370304 7284190830336 7688868098688 8649976611024 9885687555456 11533302148032 15377736197376 17299953222048 19771375110912 23066604296064 34599906444096 46133208592128 69199812888192 138399625776384
- Sum of all divisors σ(n): 516480431667200
- Sum of proper divisors (its aliquot sum) s(n): 378080805890816
- 138399625776384 is an abundant number, because the sum of its proper divisors (378080805890816) is greater than itself. Its abundance is 239681180114432
Bases of 138399625776384
- Binary: 111110111011111101011001000100000001101000000002
- Hexadecimal: 0x7DDFAC880D00
- Base-36: 1D23WRTC00
Squares and roots of 138399625776384
- 138399625776384 squared (1383996257763842) is 19154456415043134514772115456
- 138399625776384 cubed (1383996257763843) is 2650969599792027665005866686683938086191104
-
The
square root of 138399625776384 is 11764337.0308906061 -
The
cube root of 138399625776384 is 51726.3267173907
Scales and comparisons
How big is 138399625776384?- 138,399,625,776,384 seconds is equal to 4,400,680 years, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,399,625,776,384 would take you about eleven million, one thousand, seven hundred 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 138399625776384 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138399625776384
- 138399625776384 backwards is 483677526993831
- 138399625776384 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138399625776384's digits is 81
- More coming soon!
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"Number 138399625776384 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138399625776384 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138399625776384/
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The information we have on file for 138399625776384 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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