138896096625
138,896,096,625 is an odd composite number composed of six prime numbers multiplied together.
138896096625 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138896096625:
37 × 53 × 112 × 13 × 17 × 19
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 17 × 19)See below for interesting mathematical facts about the number 138896096625 from the Numbermatics database.
Names of 138896096625
- Cardinal: 138896096625 can be written as One hundred thirty-eight billion, eight hundred ninety-six million, ninety-six thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38896096625 × 1011
Factors of 138896096625
Divisors of 138896096625
- Number of divisors d(n): 768
-
Complete list of divisors:
1 3 5 9 11 13 15 17 19 25 27 33 39 45 51 55 57 65 75 81 85 95 99 117 121 125 135 143 153 165 171 187 195 209 221 225 243 247 255 275 285 297 323 325 351 363 375 405 425 429 459 475 495 513 561 585 605 627 663 675 715 729 741 765 825 855 891 935 969 975 1045 1053 1089 1105 1125 1215 1235 1275 1287 1375 1377 1425 1485 1539 1573 1615 1625 1683 1755 1815 1881 1989 2025 2057 2125 2145 2187 2223 2295 2299 2375 2431 2475 2565 2673 2717 2805 2907 2925 3025 3135 3159 3267 3315 3375 3553 3575 3645 3705 3825 3861 4125 4131 4199 4275 4455 4617 4675 4719 4845 4875 5049 5225 5265 5445 5525 5643 5967 6075 6171 6175 6375 6435 6669 6885 6897 7125 7293 7425 7695 7865 8019 8075 8151 8415 8721 8775 9075 9405 9477 9801 9945 10125 10285 10659 10725 10935 11115 11475 11495 11583 12155 12375 12393 12597 12825 13365 13585 13851 14025 14157 14535 14625 15125 15147 15675 15795 16335 16575 16929 17765 17875 17901 18225 18513 18525 19125 19305 20007 20655 20691 20995 21375 21879 22275 23085 23375 23595 24057 24225 24453 25245 26125 26163 26325 26741 27225 27625 28215 28431 29403 29835 29887 30375 30855 30875 31977 32175 33345 34425 34485 34749 36465 37125 37179 37791 38475 39083 39325 40095 40375 40755 41553 42075 42471 43605 43875 45375 45441 46189 47025 47385 49005 49725 50787 51425 53295 53625 53703 54675 55539 55575 57375 57475 57915 60021 60775 61965 62073 62985 64125 65637 66825 67925 69255 70125 70785 72675 73359 75735 78375 78489 78975 80223 81675 82875 84645 88209 88825 89505 89661 91125 92565 92625 95931 96525 100035 103275 103455 104247 104975 109395 111375 113373 115425 117249 117975 120285 121125 122265 126225 127413 130815 131625 133705 136125 136323 138567 141075 142155 147015 149175 149435 152361 154275 159885 160875 161109 166617 166725 172125 172425 173745 180063 182325 185895 186219 188955 192375 195415 196625 196911 200475 203775 207765 210375 212355 218025 220077 227205 230945 235125 235467 236925 240669 245025 248625 253935 257125 264627 266475 268515 268983 273375 277695 277875 287375 287793 289575 300105 303875 309825 310365 312741 314925 328185 334125 339625 340119 346275 351747 353925 363375 366795 378675 382239 392445 394875 401115 408375 408969 415701 423225 441045 444125 447525 448305 457083 462825 479655 482625 483327 499851 500175 508079 516375 517275 521235 524875 540189 546975 558657 566865 577125 586245 589875 590733 601425 611325 631125 637065 654075 660231 668525 681615 692835 705375 706401 710775 722007 735075 745875 747175 761805 771375 799425 805545 806949 833085 833625 862125 863379 868725 900315 911625 929475 931095 944775 977075 984555 1002375 1018875 1020357 1038825 1055241 1061775 1090125 1100385 1136025 1146717 1154725 1177335 1184625 1203345 1225125 1247103 1269675 1323135 1332375 1342575 1344915 1388475 1438965 1447875 1499553 1500525 1524237 1549125 1551825 1563705 1574625 1640925 1675971 1700595 1731375 1758735 1769625 1772199 1833975 1893375 1911195 1962225 1980693 2005575 2044845 2078505 2116125 2166021 2205225 2237625 2241525 2285415 2314125 2398275 2416635 2420847 2499255 2500875 2540395 2586375 2590137 2606175 2700945 2734875 2793285 2834325 2931225 2953665 3007125 3056625 3061071 3165723 3185325 3270375 3301155 3342625 3408075 3440151 3464175 3532005 3553875 3610035 3675375 3735875 3741309 3809025 3997125 4027725 4034745 4165425 4316895 4343625 4498659 4501575 4572711 4647375 4655475 4723875 4885375 4922775 5027913 5101785 5194125 5276205 5308875 5316597 5501925 5680125 5733585 5773625 5886675 5942079 6016725 6235515 6348375 6498063 6615675 6712875 6724575 6942375 7194825 7262541 7497765 7502625 7621185 7759125 7770411 7818525 8204625 8379855 8502975 8793675 8860995 9169875 9183213 9497169 9555975 9811125 9903465 10027875 10224225 10392525 10830105 11026125 11207625 11223927 11427075 11991375 12083175 12104235 12496275 12701975 12950685 13030875 13504725 13718133 13966425 14171625 14656125 14768325 15305355 15828615 15926625 16505775 17040375 17200755 17320875 17660025 18050175 18706545 19045125 19494189 20138625 20173725 20827125 21584475 21787623 22493295 22507875 22863555 23277375 24613875 25139565 25508925 26381025 26582985 27509625 28491507 28667925 29433375 29710395 30083625 31177575 32490315 33078375 33622875 33671781 35974125 36312705 37488825 38105925 38852055 39092625 41154399 41899275 42514875 43968375 44304975 45916065 47485845 47779875 49517325 51121125 51962625 54150525 56119635 57135375 58482567 60415875 60521175 62481375 63509875 64753425 65362869 67523625 68590665 69832125 73841625 76526775 79143075 82528875 85474521 86003775 88300125 90250875 93532725 97470945 100868625 101015343 107922375 108938115 112466475 114317775 123463197 125697825 127544625 131905125 132914925 142457535 143339625 148551975 155887875 162451575 168358905 181563525 187444125 190529625 194260275 205771995 209496375 221524875 229580325 237429225 247586625 270752625 280598175 292412835 302605875 323767125 326814345 342953325 370389591 382633875 395715375 427372605 430018875 467663625 487354725 505076715 544690575 562332375 571588875 617315985 628489125 664574625 712287675 742759875 812257875 841794525 907817625 971301375 1028859975 1111168773 1147901625 1187146125 1402990875 1462064175 1634071725 1714766625 1851947955 2136863025 2436773625 2525383575 2723452875 3086579925 3561438375 4208972625 5144299875 5555843865 7310320875 8170358625 9259739775 10684315125 12626917875 15432899625 27779219325 46298698875 138896096625
- Sum of all divisors σ(n): 342989337600
- Sum of proper divisors (its aliquot sum) s(n): 204093240975
- 138896096625 is an abundant number, because the sum of its proper divisors (204093240975) is greater than itself. Its abundance is 65197144350
Bases of 138896096625
- Binary: 100000010101101101101000111101011100012
- Hexadecimal: 0x2056DA3D71
- Base-36: 1RT35E29
Squares and roots of 138896096625
- 138896096625 squared (1388960966252) is 19292125657661336390625
- 138896096625 cubed (1388960966253) is 2679600949448170650838878744140625
-
The
square root of 138896096625 is 372687.6663172529 -
The
cube root of 138896096625 is 5178.8104261545
Scales and comparisons
How big is 138896096625?- 138,896,096,625 seconds is equal to 4,416 years, 24 weeks, 1 day, 17 hours, 3 minutes, 45 seconds.
-
To count from 1 to 138,896,096,625 would take you about eight thousand, eight hundred thirty-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 138896096625 cubic inches would be around 431.6 feet tall.
Recreational maths with 138896096625
- 138896096625 backwards is 526690698831
- The number of decimal digits it has is: 12
- The sum of 138896096625's digits is 63
- More coming soon!
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