40961889144960

Names of 40961889144960

• Cardinal: 40961889144960 can be written as Forty trillion, nine hundred sixty-one billion, eight hundred eighty-nine million, one hundred forty-four thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 4.096188914496 × 10¹³

Factors of 40961889144960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 10545915

Divisors of 40961889144960

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 128 136 140 160 168 170 192 204 210 224 238 240 255 272 280 289 320 336 340 357 384 408 420 448 476 480 510 544 560 578 595 640 672 680 714 816 840 867 896 952 960 1020 1088 1120 1156 1190 1344 1360 1428 1445 1632 1680 1734 1785 1904 1920 2023 2040 2176 2240 2312 2380 2688 2720 2856 2890 3264 3360 3468 3570 3808 4046 4080 4335 4480 4624 4760 5440 5712 5780 6069 6528 6720 6936 7140 7616 8092 8160 8670 9248 9520 10115 10880 11424 11560 12138 13440 13872 14280 15232 16184 16320 17340 18496 19040 20230 22848 23120 24276 27744 28560 30345 32368 32640 34680 36992 38080 40460 45696 46240 48552 55488 57120 60690 64736 69360 76160 80920 92480 97104 110976 114240 121380 129472 138720 161840 184960 194208 228480 242760 258944 277440 323680 388416 485520 554880 647360 776832 971040 1294720 1942080 3884160 10545881 21091762 31637643 42183524 52729405 63275286 73821167 84367048 105458810 126550572 147642334 158188215 168734096 179279977 210917620 221463501 253101144 295284668 316376430 337468192 358559954 369105835 421835240 442927002 506202288 537839931 590569336 632752860 674936384 717119908 738211670 843670480 885854004 896399885 1012404576 1075679862 1107317505 1181138672 1254959839 1265505720 1349872768 1434239816 1476423340 1687340960 1771708008 1792799770 2024809152 2151359724 2214635010 2362277344 2509919678 2531011440 2689199655 2868479632 2952846680 3047759609 3374681920 3543416016 3585599540 3764879517 4049618304 4302719448 4429270020 4724554688 5019839356 5062022880 5378399310 5736959264 5905693360 6095519218 6274799195 6749363840 7086832032 7171199080 7529759034 8605438896 8858540040 9143278827 9449109376 10039678712 10124045760 10756798620 11473918528 11811386720 12191038436 12549598390 14173664064 14342398160 15059518068 15238798045 17210877792 17717080080 18286557654 18824397585 20079357424 20248091520 21334317263 21513597240 22947837056 23622773440 24382076872 25099196780 28347328128 28684796320 30119036136 30477596090 34421755584 35434160160 36573115308 37648795170 40158714848 42668634526 43027194480 45716394135 47245546880 48764153744 50198393560 57369592640 60238072272 60955192180 64002951789 68843511168 70868320320 73146230616 75297590340 80317429696 85337269052 86054388960 91432788270 97528307488 100396787120 106671586315 114739185280 120476144544 121910384360 128005903578 141736640640 146292461232 150595180680 160634859392 170674538104 172108777920 182865576540 195056614976 200793574240 213343172630 240952289088 243820768720 256011807156 292584922464 301190361360 320014758945 341349076208 344217555840 365731153080 390113229952 401587148480 426686345260 481904578176 487641537440 512023614312 585169844928 602380722720 640029517890 682698152416 731462306160 803174296960 853372690520 975283074880 1024047228624 1170339689856 1204761445440 1280059035780 1365396304832 1462924612320 1706745381040 1950566149760 2048094457248 2409522890880 2560118071560 2730792609664 2925849224640 3413490762080 4096188914496 5120236143120 5851698449280 6826981524160 8192377828992 10240472286240 13653963048320 20480944572480 40961889144960
• Sum of all divisors σ(n): 158512199495040
• Sum of proper divisors (its aliquot sum) s(n): 117550310350080
• 40961889144960 is an abundant number, because the sum of its proper divisors (117550310350080) is greater than itself. Its abundance is 76588421205120

Bases of 40961889144960

• Binary: 1001010100000100101110110110100001000010000000₂
• Hexadecimal: 0x25412EDA1080
• Base-36: EIPMR6X6O

Squares and roots of 40961889144960

• 40961889144960 squared (40961889144960²) is 1677876362323991879893401600
• 40961889144960 cubed (40961889144960³) is 68728985552464094903580711080969895936000
• The square root of 40961889144960 is 6400147.5877482701
• The cube root of 40961889144960 is 34471.4849854145

Scales and comparisons

• 40,961,889,144,960 seconds is equal to 1,302,461 years, 19 weeks, 2 days, 4 hours, 16 minutes.
• To count from 1 to 40,961,889,144,960 would take you about three million, two hundred fifty-six thousand, one hundred fifty-three 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 40961889144960 cubic inches would be around 2872.6 feet tall.

Recreational maths with 40961889144960

• 40961889144960 backwards is 06944198816904
• The number of decimal digits it has is: 14
• The sum of 40961889144960's digits is 69
• More coming soon!