42407701967140416

Names of 42407701967140416

• Cardinal: 42407701967140416 can be written as Forty-two quadrillion, four hundred seven trillion, seven hundred one billion, nine hundred sixty-seven million, one hundred forty thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 4.2407701967140416 × 10¹⁶

Factors of 42407701967140416

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2860162

Divisors of 42407701967140416

• Number of divisors d(n): 105
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 2860157 5720314 8580471 11440628 17160942 22881256 25741413 34321884 45762512 51482826 68643768 77224239 91525024 102965652 137287536 154448478 183050048 205931304 231672717 274575072 308896956 411862608 463345434 549150144 617793912 823725216 926690868 1235587824 1647450432 1853381736 2471175648 3706763472 4942351296 7413526944 14827053888 8180498064649 16360996129298 24541494193947 32721992258596 49082988387894 65443984517192 73624482581841 98165976775788 130887969034384 147248965163682 196331953551576 220873447745523 261775938068768 294497930327364 392663907103152 441746895491046 523551876137536 588995860654728 662620343236569 785327814206304 883493790982092 1177991721309456 1325240686473138 1570655628412608 1766987581964184 2355983442618912 2650481372946276 3533975163928368 4711966885237824 5300962745892552 7067950327856736 10601925491785104 14135900655713472 21203850983570208 42407701967140416
• Sum of all divisors σ(n): 125709757711509169
• Sum of proper divisors (its aliquot sum) s(n): 83302055744368753
• 42407701967140416 is an abundant number, because the sum of its proper divisors (83302055744368753) is greater than itself. Its abundance is 40894353777228337

Bases of 42407701967140416

• Binary: 10010110101010011001010010001011011111011111011001000000₂
• Hexadecimal: 0x96A9948B7DF640
• Base-36: BLK9XC0TG00

Squares and roots of 42407701967140416

• 42407701967140416 squared (42407701967140416²) is 1798413186133805108847816260653056
• 42407701967140416 cubed (42407701967140416³) is 76266570411337830025624351118715162603817011511296
• 42407701967140416 is a perfect square number. Its square root is 205931304
• The cube root of 42407701967140416 is 348723.7929415667

Scales and comparisons

• 42,407,701,967,140,416 seconds is equal to 1,348,433,746 years, 47 weeks, 5 days, 22 hours, 33 minutes, 36 seconds.
• To count from 1 to 42,407,701,967,140,416 would take you about four billion, forty-five million, three hundred one thousand, two hundred forty 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 42407701967140416 cubic inches would be around 29060.3 feet tall.

Recreational maths with 42407701967140416

• 42407701967140416 backwards is 61404176910770424
• The number of decimal digits it has is: 17
• The sum of 42407701967140416's digits is 63
• More coming soon!