427428113315697
427,428,113,315,697 is an odd composite number composed of six prime numbers multiplied together.
What does the number 427428113315697 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 324 divisors.
427428113315697 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 427428113315697:
32 × 13 × 172 × 612 × 1372 × 181
(3 × 3 × 13 × 17 × 17 × 61 × 61 × 137 × 137 × 181)See below for interesting mathematical facts about the number 427428113315697 from the Numbermatics database.
Names of 427428113315697
- Cardinal: 427428113315697 can be written as Four hundred twenty-seven trillion, four hundred twenty-eight billion, one hundred thirteen million, three hundred fifteen thousand, six hundred ninety-seven.
Scientific notation
- Scientific notation: 4.27428113315697 × 1014
Factors of 427428113315697
Divisors of 427428113315697
- Number of divisors d(n): 324
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Complete list of divisors:
1 3 9 13 17 39 51 61 117 137 153 181 183 221 289 411 543 549 663 793 867 1037 1233 1629 1781 1989 2329 2353 2379 2601 3077 3111 3721 3757 5343 6987 7059 7137 8357 9231 9333 11041 11163 11271 13481 16029 17629 18769 20961 21177 24797 25071 27693 30277 33123 33489 33813 39593 40001 40443 48373 52309 52887 56307 63257 74391 75213 90831 99369 108641 118779 120003 121329 142069 143533 145119 156927 158661 168921 187697 189771 223173 229177 243997 272493 319073 322361 325923 356337 360009 421549 426207 430599 435357 470781 509777 514709 563091 569313 673501 680017 687531 731991 822341 957219 967083 977769 1075369 1144909 1264647 1278621 1291797 1512617 1529331 1544127 1689273 1846897 2020503 2040051 2062593 2195973 2415173 2440061 2467023 2871657 2901249 3190849 3226107 3397189 3434727 3793941 4147949 4537851 4587993 4632381 5424241 5480137 5540691 6061509 6120153 6627101 7166333 7245519 7320183 7401069 8666209 8755513 9572547 9678321 10191567 10304181 11449517 12443847 13613553 13979797 14883817 16272723 16440411 16622073 19463453 19664021 19881303 21498999 21736557 21960549 25714489 25998627 26266539 28717641 30574701 31397249 34348551 37331541 41481037 41939391 44163457 44651451 48818169 49321233 57752213 58390359 58992063 59643909 64496997 69839449 70515133 77143467 77995881 78799617 92269637 93162329 94191747 103045653 112660717 124443111 125818173 132490371 133954353 147325553 148843721 173256639 175171077 176976189 194641789 207228529 209518347 211545399 231430401 253024889 276808911 279486987 282575241 330878701 334288357 337982151 373329333 397471113 437146313 441976659 446531163 519769917 583925367 621685587 628555041 634636197 750778769 759074667 830426733 838460961 907912837 981787621 992636103 1002865071 1013946453 1187270633 1199505281 1311438939 1325929977 1339593489 1568583829 1751776101 1865056761 1915232189 2252336307 2277224001 2530343257 2693970877 2723738511 2945362863 2977908309 3008595213 3522884993 3561811899 3598515843 3934316817 4301423113 4705751487 5682902069 5745696567 6757008921 7591029771 8081912631 8171215533 8836088589 10568654979 10685435697 10795547529 12640940269 12763239073 12904269339 14117254461 15434518229 17048706207 17237089701 20183600761 20391589777 22773089313 24245737893 26665925093 31705964937 37922820807 38289717219 38712808017 45797504909 46303554687 51146118621 59889044881 60550802283 61174769331 79997775279 113768462421 114869151657 137392514727 138910664061 164332223497 179667134643 181652406849 183524307993 214895984573 239993325837 262386809893 346657026209 412177544181 492996670491 539001403929 644687953719 778557583453 787160429679 1039971078627 1478990011473 1934063861157 2335672750359 2361481289037 2793647799449 3119913235881 3653231737741 7007018251077 8380943398347 10959695213223 25142830195041 32879085639669 47492012590633 142476037771899 427428113315697
- Sum of all divisors σ(n): 727344429301308
- Sum of proper divisors (its aliquot sum) s(n): 299916315985611
- 427428113315697 is a deficient number, because the sum of its proper divisors (299916315985611) is less than itself. Its deficiency is 127511797330086
Bases of 427428113315697
- Binary: 11000010010111110010111001101110001110111011100012
- Hexadecimal: 0x184BE5CDC7771
- Base-36: 47IDRISUI9
Squares and roots of 427428113315697
- 427428113315697 squared (4274281133156972) is 182694792052616315079186595809
- 427428113315697 cubed (4274281133156973) is 78088890279653386033944985043088549154113873
-
The
square root of 427428113315697 is 20674334.6523097811 -
The
cube root of 427428113315697 is 75327.6399912499
Scales and comparisons
How big is 427428113315697?- 427,428,113,315,697 seconds is equal to 13,590,891 years, 45 weeks, 5 days, 20 hours, 34 minutes, 57 seconds.
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To count from 1 to 427,428,113,315,697 would take you about thirty-three million, nine hundred seventy-seven thousand, two hundred twenty-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 427428113315697 cubic inches would be around 6277.3 feet tall.
Recreational maths with 427428113315697
- 427428113315697 backwards is 796513311824724
- The number of decimal digits it has is: 15
- The sum of 427428113315697's digits is 63
- More coming soon!
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