400442812224

Names of 400442812224

• Cardinal: 400442812224 can be written as Four hundred billion, four hundred forty-two million, eight hundred twelve thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 4.00442812224 × 10¹¹

Factors of 400442812224

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2731

Divisors of 400442812224

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 169 182 192 208 224 273 312 336 338 364 416 448 507 546 624 672 676 728 832 1014 1092 1093 1183 1248 1344 1352 1456 1613 2028 2184 2186 2366 2496 2704 2912 3226 3279 3549 4056 4368 4372 4732 4839 5408 5824 6452 6558 7098 7651 8112 8736 8744 9464 9678 10816 11291 12904 13116 14196 14209 15302 16224 17472 17488 18928 19356 20969 22582 22953 25808 26232 28392 28418 30604 32448 33873 34976 37856 38712 41938 42627 45164 45906 51616 52464 56784 56836 61208 62907 67746 69952 75712 77424 83876 85254 90328 91812 99463 103232 104928 113568 113672 122416 125814 135492 146783 154848 167752 170508 180656 183624 184717 198926 209856 227136 227344 244832 251628 270984 272597 293566 298389 309696 335504 341016 361312 367248 369434 397852 440349 454688 489664 503256 541968 545194 554151 587132 596778 671008 682032 722624 734496 738868 795704 817791 880698 909376 1006512 1083936 1090388 1108302 1174264 1193556 1293019 1342016 1364064 1468992 1477736 1591408 1635582 1761396 1763009 1908179 2013024 2167872 2180776 2216604 2348528 2387112 2586038 2728128 2955472 3182816 3271164 3522792 3526018 3816358 3879057 4026048 4361552 4433208 4697056 4774224 5172076 5289027 5724537 5910944 6365632 6542328 7045584 7052036 7632716 7758114 8723104 8866416 9394112 9548448 10344152 10578054 11449074 11821888 12341063 13084656 14091168 14104072 15265432 15516228 17446208 17732832 19096896 20688304 21156108 22898148 22919117 24682126 26169312 28182336 28208144 30530864 31032456 35465664 37023189 41376608 42312216 45796296 45838234 49364252 52338624 56416288 61061728 62064912 68757351 74046378 82753216 84624432 91592592 91676468 98728504 112832576 122123456 124129824 137514702 148092756 160433819 169248864 183185184 183352936 197457008 248259648 275029404 296185512 297948521 320867638 338497728 366370368 366705872 394914016 481301457 550058808 592371024 595897042 641735276 733411744 789828032 893845563 962602914 1100117616 1184742048 1191794084 1283470552 1466823488 1787691126 1925205828 2085639647 2200235232 2369484096 2383588168 2566941104 3575382252 3850411656 4171279294 4400470464 4767176336 5133882208 6256918941 7150764504 7700823312 8342558588 9534352672 10267764416 12513837882 14301529008 15401646624 16685117176 19068705344 25027675764 28603058016 30803293248 33370234352 50055351528 57206116032 66740468704 100110703056 133480937408 200221406112 400442812224
• Sum of all divisors σ(n): 1313184177792
• Sum of proper divisors (its aliquot sum) s(n): 912741365568
• 400442812224 is an abundant number, because the sum of its proper divisors (912741365568) is greater than itself. Its abundance is 512298553344

Bases of 400442812224

• Binary: 101110100111100010000000110011101000000₂
• Hexadecimal: 0x5D3C406740
• Base-36: 53YLB7EO

Squares and roots of 400442812224

• 400442812224 squared (400442812224²) is 160354445861865723826176
• 400442812224 cubed (400442812224³) is 64212785253546669888427238783975424
• The square root of 400442812224 is 632805.5090025687
• The cube root of 400442812224 is 7370.7808849011

Scales and comparisons

• 400,442,812,224 seconds is equal to 12,732 years, 43 weeks, 5 days, 18 hours, 30 minutes, 24 seconds.
• To count from 1 to 400,442,812,224 would take you about twenty-five thousand, four hundred sixty-five 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 400442812224 cubic inches would be around 614.2 feet tall.

Recreational maths with 400442812224

• 400442812224 backwards is 422218244004
• The number of decimal digits it has is: 12
• The sum of 400442812224's digits is 33
• More coming soon!