442106133156864

Names of 442106133156864

• Cardinal: 442106133156864 can be written as Four hundred forty-two trillion, one hundred six billion, one hundred thirty-three million, one hundred fifty-six thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 4.42106133156864 × 10¹⁴

Factors of 442106133156864

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 484561487

Divisors of 442106133156864

• Number of divisors d(n): 220
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 256 264 288 297 324 352 384 396 432 512 528 576 594 648 704 768 792 864 891 1024 1056 1152 1188 1296 1408 1536 1584 1728 1782 2112 2304 2376 2592 2816 3072 3168 3456 3564 4224 4608 4752 5184 5632 6336 6912 7128 8448 9216 9504 10368 11264 12672 13824 14256 16896 19008 20736 25344 27648 28512 33792 38016 41472 50688 57024 76032 82944 101376 114048 152064 228096 304128 456192 912384 484561471 969122942 1453684413 1938245884 2907368826 3876491768 4361053239 5330176181 5814737652 7752983536 8722106478 10660352362 11629475304 13083159717 15505967072 15990528543 17444212956 21320704724 23258950608 26166319434 31011934144 31981057086 34888425912 39249479151 42641409448 46517901216 47971585629 52332638868 62023868288 63962114172 69776851824 78498958302 85282818896 93035802432 95943171258 104665277736 124047736576 127924228344 139553703648 143914756887 156997916604 170565637792 186071604864 191886342516 209330555472 248095473152 255848456688 279107407296 287829513774 313995833208 341131275584 372143209728 383772685032 418661110944 431744270661 496190946304 511696913376 558214814592 575659027548 627991666416 682262551168 744286419456 767545370064 837322221888 863488541322 1023393826752 1116429629184 1151318055096 1255983332832 1364525102336 1488572838912 1535090740128 1674644443776 1726977082644 2046787653504 2232859258368 2302636110192 2511966665664 2729050204672 3070181480256 3349288887552 3453954165288 4093575307008 4465718516736 4605272220384 5023933331328 5458100409344 6140362960512 6698577775104 6907908330576 8187150614016 9210544440768 10047866662656 12280725921024 13397155550208 13815816661152 16374301228032 18421088881536 20095733325312 24561451842048 27631633322304 36842177763072 40191466650624 49122903684096 55263266644608 73684355526144 110526533289216 147368711052288 221053066578432 442106133156864
• Sum of all divisors σ(n): 1440234927783168
• Sum of proper divisors (its aliquot sum) s(n): 998128794626304
• 442106133156864 is an abundant number, because the sum of its proper divisors (998128794626304) is greater than itself. Its abundance is 556022661469440

Bases of 442106133156864

• Binary: 1100100100001011111011011000001010001010000000000₂
• Hexadecimal: 0x19217DB051400
• Base-36: 4CPOR4U800

Squares and roots of 442106133156864

• 442106133156864 squared (442106133156864²) is 195457832974914761918430314496
• 442106133156864 cubed (442106133156864³) is 86413106731759748908149916985373056821100544
• The square root of 442106133156864 is 21026320.0098558379
• The cube root of 442106133156864 is 76180.2125259553

Scales and comparisons

• 442,106,133,156,864 seconds is equal to 14,057,607 years, 26 weeks, 3 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 442,106,133,156,864 would take you about thirty-five million, one hundred forty-four thousand and eighteen 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 442106133156864 cubic inches would be around 6348.4 feet tall.

Recreational maths with 442106133156864

• 442106133156864 backwards is 468651331601244
• 442106133156864 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 442106133156864's digits is 54
• More coming soon!