445980967804948224

Names of 445980967804948224

• Cardinal: 445980967804948224 can be written as Four hundred forty-five quadrillion, nine hundred eighty trillion, nine hundred sixty-seven billion, eight hundred four million, nine hundred forty-eight thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 4.45980967804948224 × 10¹⁷

Factors of 445980967804948224

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 131920

Divisors of 445980967804948224

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 277 352 363 384 484 528 554 704 726 768 831 968 1056 1108 1408 1452 1662 1936 2112 2216 2816 2904 3047 3324 3872 4224 4432 5808 6094 6648 7744 8448 8864 9141 11616 12188 13296 15488 17728 18282 23232 24376 26592 30976 33517 35456 36564 46464 48752 53184 67034 70912 73128 92928 97504 100551 106368 131627 134068 146256 195008 201102 212736 263254 268136 292512 390016 394881 402204 526508 536272 585024 780032 789762 804408 1053016 1072544 1170048 1447897 1579524 1608816 2106032 2145088 2340096 2895794 3159048 3217632 4212064 4290176 4343691 5791588 6318096 6435264 8424128 8580352 8687382 11583176 12636192 12870528 15926867 16848256 17374764 23166352 25272384 25741056 31853734 33696512 34749528 36460679 46332704 47780601 50544768 63707468 69499056 72921358 92665408 95561202 101089536 109382037 127414936 138998112 145842716 185330816 191122404 218764074 254829872 277996224 291685432 370661632 382244808 401067469 437528148 509659744 555992448 583370864 764489616 802134938 875056296 1019319488 1111984896 1166741728 1203202407 1528979232 1604269876 1750112592 2038638976 2333483456 2406404814 3057958464 3208539752 3500225184 4077277952 4411742159 4666966912 4812809628 6115916928 6417079504 7000450368 8823484318 9333933824 9625619256 12231833856 12834159008 13235226477 14000900736 17325667129 17646968636 19251238512 25668318016 26470452954 28001801472 34651334258 35293937272 38502477024 51336636032 51977001387 52940905908 69302668516 70587874544 77004954048 102673272064 103954002774 105881811816 138605337032 141175749088 154009908096 190582338419 207908005548 211763623632 277210674064 282351498176 308019816192 381164676838 415816011096 423527247264 554421348128 564702996352 571747015257 762329353676 831632022192 847054494528 1108842696256 1129405992704 1143494030514 1524658707352 1663264044384 1694108989056 2096405722609 2217685392512 2286988061028 3049317414704 3326528088768 3388217978112 4192811445218 4435370785024 4573976122056 4799209794733 6098634829408 6289217167827 6653056177536 8385622890436 9147952244112 9598419589466 12197269658816 12578434335654 13306112355072 14397629384199 16771245780872 18295904488224 19196839178932 24394539317632 25156868671308 28795258768398 33542491561744 36591808976448 38393678357864 48789078635264 50313737342616 52791307742063 57590517536796 67084983123488 73183617952896 76787356715728 100627474685232 105582615484126 115181035073592 134169966246976 146367235905792 153574713431456 158373923226189 201254949370464 211165230968252 230362070147184 268339932493952 307149426862912 316747846452378 402509898740928 422330461936504 460724140294368 536679864987904 580704385162693 614298853725824 633495692904756 805019797481856 844660923873008 921448280588736 1161408770325386 1228597707451648 1266991385809512 1610039594963712 1689321847746016 1742113155488079 1842896561177472 2322817540650772 2533982771619024 3378643695492032 3484226310976158 3685793122354944 4645635081301544 5067965543238048 6757287390984064 6968452621952316 9291270162603088 10135931086476096 13514574781968128 13936905243904632 18582540325206176 20271862172952192 27873810487809264 37165080650412352 40543724345904384 55747620975618528 74330161300824704 111495241951237056 148660322601649408 222990483902474112 445980967804948224
• Sum of all divisors σ(n): 1309394746145253992
• Sum of proper divisors (its aliquot sum) s(n): 863413778340305768
• 445980967804948224 is an abundant number, because the sum of its proper divisors (863413778340305768) is greater than itself. Its abundance is 417432810535357544

Bases of 445980967804948224

• Binary: 11000110000011100010101001111001010100110010100111100000000₂
• Hexadecimal: 0x6307153CA994F00
• Base-36: 3DZB2473PJPC

Squares and roots of 445980967804948224

• 445980967804948224 squared (445980967804948224²) is 198899023644238264296846859320754176
• 445980967804948224 cubed (445980967804948224³) is 88705179060316660927272936049372398791987112311783424
• The square root of 445980967804948224 is 667818064.8986280787
• The cube root of 445980967804948224 is 764021.2569381329

Scales and comparisons

• 445,980,967,804,948,224 seconds is equal to 14,180,815,266 years, 25 weeks, 2 days, 17 hours, 10 minutes, 24 seconds.
• To count from 1 to 445,980,967,804,948,224 would take you about forty-two billion, five hundred forty-two million, four hundred forty-five thousand, seven hundred ninety-nine 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 445980967804948224 cubic inches would be around 63668.4 feet tall.

Recreational maths with 445980967804948224

• 445980967804948224 backwards is 422849408769089544
• The number of decimal digits it has is: 18
• The sum of 445980967804948224's digits is 93
• More coming soon!