345510917824384

Names of 345510917824384

• Cardinal: 345510917824384 can be written as Three hundred forty-five trillion, five hundred ten billion, nine hundred seventeen million, eight hundred twenty-four thousand, three hundred eighty-four.

Scientific notation

• Scientific notation: 3.45510917824384 × 10¹⁴

Factors of 345510917824384

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 8071

Divisors of 345510917824384

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 4 8 13 16 26 32 52 64 104 128 169 208 263 338 416 526 676 832 1052 1352 1664 2104 2704 3419 4208 5408 6838 7793 8416 10816 13676 15586 16832 21632 27352 31172 33664 44447 54704 62344 88894 101309 109408 124688 177788 202618 218816 249376 355576 405236 437632 498752 711152 810472 997504 1317017 1422304 1620944 2049559 2634034 2844608 3241888 4099118 5268068 5689216 6483776 8198236 10536136 12967552 16396472 21072272 26644267 32792944 42144544 53288534 60730849 65585888 84289088 106577068 121461698 131171776 168578176 213154136 242923396 262343552 346375471 426308272 485846792 692750942 789501037 852616544 971693584 1385501884 1579002074 1705233088 1943387168 2771003768 3158004148 3410466176 3886774336 5542007536 6316008296 7773548672 10263513481 11084015072 12632016592 15972213287 20527026962 22168030144 25264033184 31944426574 41054053924 44336060288 50528066368 63888853148 82108107848 101056132736 127777706296 164216215696 207638772731 255555412592 328432431392 415277545462 511110825184 656864862784 830555090924 1022221650368 1313729725568 1661110181848 2044443300736 2699304045503 3322220363696 5398608091006 6644440727392 10797216182012 13288881454784 21594432364024 26577762909568 43188864728048 86377729456096 172755458912192 345510917824384
• Sum of all divisors σ(n): 748273356757080
• Sum of proper divisors (its aliquot sum) s(n): 402762438932696
• 345510917824384 is an abundant number, because the sum of its proper divisors (402762438932696) is greater than itself. Its abundance is 57251521108312

Bases of 345510917824384

• Binary: 1001110100011110110000111100001011101111110000000₂
• Hexadecimal: 0x13A3D8785DF80
• Base-36: 3EH1IVN81S

Squares and roots of 345510917824384

• 345510917824384 squared (345510917824384²) is 119377794335848233279864979456
• 345510917824384 cubed (345510917824384³) is 41246331288829472659119976632216932375855104
• The square root of 345510917824384 is 18587923.9783356119
• The cube root of 345510917824384 is 70170.3956188401

Scales and comparisons

• 345,510,917,824,384 seconds is equal to 10,986,178 years, 23 weeks, 3 days, 7 hours, 13 minutes, 4 seconds.
• To count from 1 to 345,510,917,824,384 would take you about twenty-seven million, four hundred sixty-five thousand, four hundred forty-six 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 345510917824384 cubic inches would be around 5847.5 feet tall.

Recreational maths with 345510917824384

• 345510917824384 backwards is 483428719015543
• 345510917824384 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 345510917824384's digits is 64
• More coming soon!