138960462985344
138,960,462,985,344 is an even composite number composed of eight prime numbers multiplied together.
138960462985344 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 138960462985344:
27 × 34 × 7 × 11 × 13 × 19 × 409 × 1723
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 13 × 19 × 409 × 1723)See below for interesting mathematical facts about the number 138960462985344 from the Numbermatics database.
Names of 138960462985344
- Cardinal: 138960462985344 can be written as One hundred thirty-eight trillion, nine hundred sixty billion, four hundred sixty-two million, nine hundred eighty-five thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38960462985344 × 1014
Factors of 138960462985344
Divisors of 138960462985344
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 19 21 22 24 26 27 28 32 33 36 38 39 42 44 48 52 54 56 57 63 64 66 72 76 77 78 81 84 88 91 96 99 104 108 112 114 117 126 128 132 133 143 144 152 154 156 162 168 171 176 182 189 192 198 208 209 216 224 228 231 234 247 252 264 266 273 286 288 297 304 308 312 324 336 342 351 352 364 378 384 396 399 409 416 418 429 432 448 456 462 468 494 504 513 528 532 546 567 572 576 594 608 616 624 627 648 672 684 693 702 704 728 741 756 792 798 818 819 832 836 858 864 891 896 912 924 936 988 1001 1008 1026 1053 1056 1064 1092 1134 1144 1152 1188 1197 1216 1227 1232 1248 1254 1287 1296 1344 1368 1386 1404 1408 1456 1463 1482 1512 1539 1584 1596 1636 1638 1664 1672 1716 1723 1728 1729 1782 1824 1848 1872 1881 1976 2002 2016 2052 2079 2106 2112 2128 2184 2223 2268 2288 2376 2394 2432 2454 2457 2464 2496 2508 2574 2592 2688 2717 2736 2772 2808 2863 2912 2926 2964 3003 3024 3078 3168 3192 3272 3276 3344 3432 3446 3456 3458 3564 3591 3648 3681 3696 3744 3762 3861 3952 4004 4032 4104 4158 4212 4224 4256 4368 4389 4446 4499 4536 4576 4752 4788 4908 4914 4928 4992 5016 5148 5169 5184 5187 5317 5434 5472 5544 5616 5643 5726 5824 5852 5928 6006 6048 6156 6237 6336 6384 6544 6552 6669 6688 6864 6892 6916 7128 7182 7296 7362 7371 7392 7488 7524 7722 7771 7904 8008 8064 8151 8208 8316 8424 8512 8589 8736 8778 8892 8998 9009 9072 9152 9504 9576 9816 9828 9856 10032 10296 10338 10368 10374 10634 10773 10868 10944 11043 11088 11232 11286 11452 11583 11648 11704 11856 12012 12061 12096 12312 12474 12672 12768 13088 13104 13167 13338 13376 13497 13728 13784 13832 14256 14364 14724 14742 14784 14976 15048 15444 15507 15542 15561 15808 15951 16016 16302 16416 16632 16848 16929 17024 17178 17472 17556 17784 17996 18018 18144 18304 18953 19008 19019 19152 19632 19656 20007 20064 20592 20676 20748 21268 21546 21736 21888 22086 22176 22399 22464 22572 22904 23166 23313 23408 23712 24024 24122 24192 24453 24624 24948 25536 25767 26176 26208 26334 26676 26752 26994 27027 27456 27568 27664 28512 28728 29448 29484 29568 30096 30888 31014 31084 31122 31493 31616 31902 32032 32604 32737 32832 33129 33264 33696 33858 34356 34944 35112 35568 35992 36036 36183 36288 37219 37906 38016 38038 38304 39264 39312 39501 40014 40128 40491 41184 41352 41496 42536 43092 43472 44172 44352 44798 44928 45144 45808 46332 46521 46626 46683 46816 47424 47853 48048 48244 48906 49248 49896 51072 51534 52352 52416 52668 53352 53988 54054 54397 54912 55136 55328 56859 57024 57057 57456 58487 58896 58968 60192 61776 62028 62168 62244 62986 63804 64064 65208 65474 65664 66258 66528 67197 67392 67716 68712 69939 70224 71136 71984 72072 72366 72576 73359 74438 75812 76076 76608 77301 78528 78624 79002 80028 80256 80982 81081 82368 82704 82992 85072 85481 86184 86944 88344 88704 89596 90288 91616 92664 93042 93252 93366 93632 94479 94848 95706 96096 96488 97812 98211 98496 99792 101023 103068 104832 105336 106704 107976 108108 108549 108794 110272 110656 111657 113718 114048 114114 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131966251648 135439047744 137857602168 138821641344 140648241888 148462033104 150390111456 152368928712 155089802439 155960115584 160833869196 161958581568 166220649504 167019787242 169670894976 169878316608 174135918528 175455130032 183810136224 187530989184 190879756848 197387021286 197949377472 200520148608 203158571616 206786403252 214445158928 221627532672 222693049656 225585167184 228553393068 233940173376 241250803794 242937872352 245080181632 254506342464 261203877792 263182695048 270878095488 275715204336 281296483776 296924066208 300780222912 304737857424 310179604878 321667738392 323917163136 332441299008 334039574484 339756633216 348271837056 350910260064 361876205691 367620272448 381759513696 394774042572 395898754944 406317143232 413572806504 428890317856 445386099312 451170334368 457106786136 467880346752 482501607588 485875744704 509012684928 522407755584 526365390096 551430408672 562592967552 593848132416 601560445824 609475714848 620359209756 643335476784 664882598016 668079148968 701820520128 723752411382 735240544896 763519027392 789548085144 812634286464 827145613008 857780635712 890772198624 902340668736 914213572272 965003215176 971751489408 1044815511168 1052730780192 1085628617073 1102860817344 1187696264832 1218951429696 1240718419512 1286670953568 1336158297936 1403641040256 1447504822764 1527038054784 1579096170288 1654291226016 1715561271424 1781544397248 1804681337472 1828427144544 1930006430352 2105461560384 2171257234146 2205721634688 2437902859392 2481436839024 2573341907136 2672316595872 2895009645528 3158192340576 3308582452032 3563088794496 3656854289088 3860012860704 4210923120768 4342514468292 4962873678048 5146683814272 5344633191744 5790019291056 6316384681152 6617164904064 7313708578176 7720025721408 8685028936584 9925747356096 10689266383488 11580038582112 12632769362304 15440051442816 17370057873168 19851494712192 23160077164224 34740115746336 46320154328448 69480231492672 138960462985344
- Sum of all divisors σ(n): 586240655616000
- Sum of proper divisors (its aliquot sum) s(n): 447280192630656
- 138960462985344 is an abundant number, because the sum of its proper divisors (447280192630656) is greater than itself. Its abundance is 308319729645312
Bases of 138960462985344
- Binary: 111111001100010010000010000100010111000100000002
- Hexadecimal: 0x7E624108B880
- Base-36: 1D99JZT400
Squares and roots of 138960462985344
- 138960462985344 squared (1389604629853442) is 19310010273101159908758798336
- 138960462985344 cubed (1389604629853443) is 2683327967801886116195589772471420619587584
-
The
square root of 138960462985344 is 11788149.2603946953 -
The
cube root of 138960462985344 is 51796.1027992477
Scales and comparisons
How big is 138960462985344?- 138,960,462,985,344 seconds is equal to 4,418,512 years, 46 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,960,462,985,344 would take you about eleven million, forty-six thousand, two hundred eighty-two 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 138960462985344 cubic inches would be around 4316.3 feet tall.
Recreational maths with 138960462985344
- 138960462985344 backwards is 443589264069831
- 138960462985344 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138960462985344's digits is 72
- More coming soon!
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"Number 138960462985344 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138960462985344 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138960462985344/
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The information we have on file for 138960462985344 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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