442018432128

Names of 442018432128

• Cardinal: 442018432128 can be written as Four hundred forty-two billion, eighteen million, four hundred thirty-two thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.42018432128 × 10¹¹

Factors of 442018432128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 258

Divisors of 442018432128

• Number of divisors d(n): 256
• 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 96 104 112 128 156 168 182 192 208 224 233 273 312 336 364 384 416 448 466 546 624 672 699 728 832 896 932 1092 1248 1344 1398 1456 1631 1664 1864 2184 2496 2688 2796 2912 3029 3262 3728 4368 4893 4992 5592 5824 6058 6524 7456 8736 9087 9786 11184 11648 12116 13048 14912 17472 18174 19572 21203 22368 24232 26096 29824 34944 36348 39144 42406 44736 48464 52192 54289 63609 72696 78288 84812 89472 96928 104384 108578 127218 145392 156576 162867 169624 193856 208768 217156 254436 290784 313152 325734 339248 380023 387712 434312 508872 581568 626304 651468 678496 705757 760046 868624 1017744 1140069 1163136 1302936 1356992 1411514 1520092 1737248 2035488 2117271 2280138 2605872 2713984 2823028 3040184 3474496 4070976 4234542 4560276 4940299 5211744 5646056 6080368 6948992 8141952 8469084 9120552 9880598 10423488 11292112 12160736 12649337 14820897 16938168 18241104 19761196 20846976 22584224 24321472 25298674 29641794 33876336 36482208 37948011 39522392 45168448 48642944 50597348 59283588 67752672 72964416 75896022 79044784 88545359 90336896 101194696 118567176 135505344 145928832 151792044 158089568 164441381 177090718 202389392 237134352 265636077 271010688 303584088 316179136 328882762 354181436 404778784 474268704 493324143 531272154 607168176 632358272 657765524 708362872 809557568 948537408 986648286 1062544308 1151089667 1214336352 1315531048 1416725744 1619115136 1897074816 1973296572 2125088616 2302179334 2428672704 2631062096 2833451488 3453269001 3946593144 4250177232 4604358668 4857345408 5262124192 5666902976 6906538002 7893186288 8500354464 9208717336 10524248384 11333805952 13813076004 15786372576 17000708928 18417434672 21048496768 27626152008 31572745152 34001417856 36834869344 55252304016 63145490304 73669738688 110504608032 147339477376 221009216064 442018432128
• Sum of all divisors σ(n): 1451288966400
• Sum of proper divisors (its aliquot sum) s(n): 1009270534272
• 442018432128 is an abundant number, because the sum of its proper divisors (1009270534272) is greater than itself. Its abundance is 567252102144

Bases of 442018432128

• Binary: 110011011101010010110100000010010000000₂
• Hexadecimal: 0x66EA5A0480
• Base-36: 5N26D11C

Squares and roots of 442018432128

• 442018432128 squared (442018432128²) is 195380294340895342608384
• 442018432128 cubed (442018432128³) is 86361691373269710491495289587761152
• The square root of 442018432128 is 664844.6676690731
• The cube root of 442018432128 is 7617.5174878249

Scales and comparisons

• 442,018,432,128 seconds is equal to 14,054 years, 42 weeks, 4 days, 1 hour, 48 minutes, 48 seconds.
• To count from 1 to 442,018,432,128 would take you about twenty-eight thousand, one hundred 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 442018432128 cubic inches would be around 634.8 feet tall.

Recreational maths with 442018432128

• 442018432128 backwards is 821234810244
• 442018432128 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 442018432128's digits is 39
• More coming soon!