138448593098046
138,448,593,098,046 is an even composite number composed of seven prime numbers multiplied together.
138448593098046 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138448593098046:
2 × 33 × 7 × 11 × 292 × 281 × 140897
(2 × 3 × 3 × 3 × 7 × 11 × 29 × 29 × 281 × 140897)See below for interesting mathematical facts about the number 138448593098046 from the Numbermatics database.
Names of 138448593098046
- Cardinal: 138448593098046 can be written as One hundred thirty-eight trillion, four hundred forty-eight billion, five hundred ninety-three million, ninety-eight thousand and forty-six.
Scientific notation
- Scientific notation: 1.38448593098046 × 1014
Factors of 138448593098046
Divisors of 138448593098046
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 6 7 9 11 14 18 21 22 27 29 33 42 54 58 63 66 77 87 99 126 154 174 189 198 203 231 261 281 297 319 378 406 462 522 562 594 609 638 693 783 841 843 957 1218 1386 1566 1682 1686 1827 1914 1967 2079 2233 2523 2529 2871 3091 3654 3934 4158 4466 5046 5058 5481 5742 5887 5901 6182 6699 7569 7587 8149 8613 9251 9273 10962 11774 11802 13398 15138 15174 16298 17226 17661 17703 18502 18546 20097 21637 22707 24447 27753 27819 35322 35406 40194 43274 45414 48894 52983 53109 55506 55638 57043 60291 64757 64911 73341 83259 83457 89639 105966 106218 114086 120582 129514 129822 140897 146682 158949 166518 166914 171129 179278 194271 194733 220023 236321 249777 268917 281794 317898 342258 388542 389466 422691 440046 472642 499554 513387 537834 582813 584199 627473 708963 806751 845382 986279 1026774 1165626 1168398 1254946 1268073 1417926 1540161 1549867 1613502 1654247 1748439 1882419 1972558 2126889 2420253 2536146 2599531 2958837 3080322 3099734 3308494 3496878 3764838 3804219 4086013 4253778 4649601 4840506 4962741 5199062 5647257 5917674 6380667 7608438 7798593 8172026 8876511 9299202 9925482 10849069 11294514 12258039 12761334 13948803 14888223 15597186 16941771 17753022 18196717 21698138 23395779 24516078 26629533 27897606 28602091 29776446 32547207 33883542 36393434 36774117 39592057 41846409 44664669 44946143 46791558 53259066 54590151 57204182 65094414 70187337 73548234 79184114 83692818 85806273 89329338 89892286 97641621 109180302 110322351 118494377 118776171 134838429 140374674 163770453 171612546 195283242 220644702 236988754 237552342 257418819 269676858 277144399 292924863 314623001 327540906 355483131 356328513 404515287 435512627 491311359 514837638 554288798 585849726 629246002 710966262 712657026 772256457 809030574 829460639 831433197 871025254 943869003 982622718 1066449393 1068985539 1148169653 1213545861 1303438147 1306537881 1544512914 1658921278 1662866394 1887738006 2132898786 2137971078 2296339306 2427091722 2488381917 2494299591 2606876294 2613075762 2831607009 3048588389 3199348179 3444508959 3910314441 3919613643 4976763834 4988599182 5663214018 6097176778 6398696358 6889017918 7465145751 7482898773 7820628882 7839227286 8037187571 8494821027 9124067029 9145765167 10333526877 11730943323 11758840929 12629866183 14930291502 14965797546 16074375142 16989642054 18248134058 18291530334 20667053754 22395437253 23461886646 23517681858 24111562713 25259732366 27372201087 27437295501 31000580631 33296919937 35192829969 37889598549 44790874506 48223125426 54744402174 54874591002 62001161262 66593839874 70385659938 72334688139 75779197098 82116603261 82311886503 88409063281 99890759811 113668795647 144669376278 164233206522 164623773006 176818126562 199781519622 217004064417 227337591294 233078439559 246349809783 265227189843 299672279433 341006386941 366266119307 434008128834 466156879118 492699619566 530454379686 599344558866 682012773882 699235318677 732532238614 795681569529 899016838299 1098798357921 1398470637354 1591363139058 1798033676598 2097705956031 2197596715842 2387044708587 2563862835149 3296395073763 4195411912062 4774089417174 5127725670298 6293117868093 6592790147526 7691588505447 9889185221289 12586235736186 15383177010894 19778370442578 23074765516341 46149531032682 69224296549023 138448593098046
- Sum of all divisors σ(n): 398680111365120
- Sum of proper divisors (its aliquot sum) s(n): 260231518267074
- 138448593098046 is an abundant number, because the sum of its proper divisors (260231518267074) is greater than itself. Its abundance is 121782925169028
Bases of 138448593098046
- Binary: 111110111101011000100110011011000010101001111102
- Hexadecimal: 0x7DEB1336153E
- Base-36: 1D2QELOZ7I
Squares and roots of 138448593098046
- 138448593098046 squared (1384485930980462) is 19168012930828310508169018116
- 138448593098046 cubed (1384485930980463) is 2653784422758332910239108096435650338201336
-
The
square root of 138448593098046 is 11766418.0232578003 -
The
cube root of 138448593098046 is 51732.4264473109
Scales and comparisons
How big is 138448593098046?- 138,448,593,098,046 seconds is equal to 4,402,237 years, 3 days, 23 hours, 14 minutes, 6 seconds.
-
To count from 1 to 138,448,593,098,046 would take you about eleven million, five thousand, five hundred ninety-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 138448593098046 cubic inches would be around 4311 feet tall.
Recreational maths with 138448593098046
- 138448593098046 backwards is 640890395844831
- The number of decimal digits it has is: 15
- The sum of 138448593098046's digits is 72
- More coming soon!
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