138325825440

Names of 138325825440

• Cardinal: 138325825440 can be written as One hundred thirty-eight billion, three hundred twenty-five million, eight hundred twenty-five thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3832582544 × 10¹¹

Factors of 138325825440

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 21

Divisors of 138325825440

• Number of divisors d(n): 660
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 66 72 80 81 88 90 96 99 108 110 120 121 132 135 144 160 162 165 176 180 198 216 220 240 242 243 264 270 288 297 324 330 352 360 363 396 405 432 440 480 484 486 495 528 540 594 605 648 660 720 726 729 792 810 864 880 891 968 972 990 1056 1080 1089 1188 1210 1215 1296 1320 1331 1440 1452 1458 1485 1584 1620 1760 1782 1815 1936 1944 1980 2160 2178 2187 2376 2420 2430 2592 2640 2662 2673 2904 2916 2970 3168 3240 3267 3564 3630 3645 3872 3888 3960 3993 4320 4356 4374 4455 4752 4840 4860 5280 5324 5346 5445 5808 5832 5940 6480 6534 6561 6655 7128 7260 7290 7776 7920 7986 8019 8712 8748 8910 9504 9680 9720 9801 10648 10692 10890 10935 11616 11664 11880 11979 12960 13068 13122 13310 13365 14256 14520 14580 14641 15840 15972 16038 16335 17424 17496 17820 19360 19440 19602 19683 19965 21296 21384 21780 21870 23328 23760 23958 24057 26136 26244 26620 26730 28512 29040 29160 29282 29403 31944 32076 32670 32805 34848 34992 35640 35937 38880 39204 39366 39930 40095 42592 42768 43560 43740 43923 47520 47916 48114 49005 52272 52488 53240 53460 58080 58320 58564 58806 59049 59895 63888 64152 65340 65610 69984 71280 71874 72171 73205 78408 78732 79860 80190 85536 87120 87480 87846 88209 95832 96228 98010 98415 104544 104976 106480 106920 107811 116640 117128 117612 118098 119790 120285 127776 128304 130680 131220 131769 142560 143748 144342 146410 147015 156816 157464 159720 160380 174240 174960 175692 176418 179685 191664 192456 196020 196830 209952 212960 213840 215622 216513 219615 234256 235224 236196 239580 240570 256608 261360 262440 263538 264627 287496 288684 292820 294030 295245 313632 314928 319440 320760 323433 349920 351384 352836 359370 360855 383328 384912 392040 393660 395307 427680 431244 433026 439230 441045 468512 470448 472392 479160 481140 522720 524880 527076 529254 539055 574992 577368 585640 588060 590490 629856 638880 641520 646866 649539 658845 702768 705672 718740 721710 769824 784080 787320 790614 793881 862488 866052 878460 882090 940896 944784 958320 962280 970299 1049760 1054152 1058508 1078110 1082565 1149984 1154736 1171280 1176120 1180980 1185921 1283040 1293732 1299078 1317690 1323135 1405536 1411344 1437480 1443420 1568160 1574640 1581228 1587762 1617165 1724976 1732104 1756920 1764180 1889568 1916640 1924560 1940598 1976535 2108304 2117016 2156220 2165130 2309472 2342560 2352240 2361960 2371842 2381643 2587464 2598156 2635380 2646270 2822688 2874960 2886840 2910897 3149280 3162456 3175524 3234330 3247695 3449952 3464208 3513840 3528360 3557763 3849120 3881196 3953070 3969405 4216608 4234032 4312440 4330260 4704480 4723920 4743684 4763286 4851495 5174928 5196312 5270760 5292540 5749920 5773680 5821794 5929605 6324912 6351048 6468660 6495390 6928416 7027680 7056720 7115526 7144929 7762392 7906140 7938810 8468064 8624880 8660520 8732691 9447840 9487368 9526572 9702990 10349856 10392624 10541520 10585080 10673289 11547360 11643588 11859210 11908215 12649824 12702096 12937320 12990780 14113440 14231052 14289858 14554485 15524784 15812280 15877620 17249760 17321040 17465382 17788815 18974736 19053144 19405980 20785248 21083040 21170160 21346578 23287176 23718420 23816430 25404192 25874640 25981560 26198073 28462104 28579716 29108970 31049568 31624560 31755240 32019867 34642080 34930764 35577630 35724645 37949472 38106288 38811960 42340320 42693156 43663455 46574352 47436840 47632860 51749280 51963120 52396146 53366445 56924208 57159432 58217940 63249120 63510480 64039734 69861528 71155260 71449290 76212576 77623920 78594219 85386312 87326910 93148704 94873680 95265720 96059601 103926240 104792292 106732890 113848416 114318864 116435880 127020960 128079468 130990365 139723056 142310520 142898580 155247840 157188438 160099335 170772624 174653820 189747360 190531440 192119202 209584584 213465780 228637728 232871760 256158936 261980730 279446112 284621040 285797160 288178803 314376876 320198670 341545248 349307640 381062880 384238404 392971095 419169168 426931560 465743520 480298005 512317872 523961460 569242080 571594320 576357606 628753752 640397340 698615280 768476808 785942190 838338336 853863120 864536409 960596010 1024635744 1047922920 1143188640 1152715212 1257507504 1280794680 1397230560 1440894015 1536953616 1571884380 1707726240 1729072818 1921192020 2095845840 2305430424 2515015008 2561589360 2881788030 3073907232 3143768760 3458145636 3842384040 4191691680 4322682045 4610860848 5123178720 5763576060 6287537520 6916291272 7684768080 8645364090 9221721696 11527152120 12575075040 13832582544 15369536160 17290728180 23054304240 27665165088 34581456360 46108608480 69162912720 138325825440
• Sum of all divisors σ(n): 539204966370
• Sum of proper divisors (its aliquot sum) s(n): 400879140930
• 138325825440 is an abundant number, because the sum of its proper divisors (400879140930) is greater than itself. Its abundance is 262553315490

Bases of 138325825440

• Binary: 10000000110100110111001001011110100000₂
• Hexadecimal: 0x2034DC97A0
• Base-36: 1RJNMI00

Squares and roots of 138325825440

• 138325825440 squared (138325825440²) is 19134033983657351193600
• 138325825440 cubed (138325825440³) is 2646731044786414573978689245184000
• The square root of 138325825440 is 371921.8001677235
• The cube root of 138325825440 is 5171.7130885573

Scales and comparisons

• 138,325,825,440 seconds is equal to 4,398 years, 17 weeks, 2 days, 8 hours, 24 minutes.
• To count from 1 to 138,325,825,440 would take you about eight thousand, seven hundred ninety-six 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 138325825440 cubic inches would be around 431 feet tall.

Recreational maths with 138325825440

• 138325825440 backwards is 044528523831
• 138325825440 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138325825440's digits is 45
• More coming soon!