428288123744064

Names of 428288123744064

• Cardinal: 428288123744064 can be written as Four hundred twenty-eight trillion, two hundred eighty-eight billion, one hundred twenty-three million, seven hundred forty-four thousand and sixty-four.

Scientific notation

• Scientific notation: 4.28288123744064 × 10¹⁴

Factors of 428288123744064

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 445584

Divisors of 428288123744064

• Number of divisors d(n): 392
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 243 288 304 324 342 432 456 486 513 576 608 648 684 729 864 912 972 1026 1087 1216 1296 1368 1458 1539 1728 1824 1944 2052 2174 2592 2736 2916 3078 3261 3648 3888 4104 4348 4617 5184 5472 5832 6156 6522 7776 8208 8696 9234 9783 10944 11664 12312 13044 13851 15552 16416 17392 18468 19566 20653 23328 24624 26088 27702 29349 32832 34784 36936 39132 41306 46656 49248 52176 55404 58698 61959 69568 73872 78264 82612 88047 98496 104352 110808 117396 123918 147744 156528 165224 176094 185877 208704 221616 234792 247836 264141 295488 313056 330448 352188 371754 443232 444473 469584 495672 528282 557631 626112 660896 704376 743508 792423 886464 888946 939168 991344 1056564 1115262 1321792 1333419 1408752 1487016 1584846 1672893 1777892 1878336 1982688 2113128 2230524 2666838 2817504 2974032 3169692 3345786 3555784 3965376 4000257 4226256 4461048 5018679 5333676 5635008 5948064 6339384 6691572 7111568 8000514 8444987 8452512 8922096 10037358 10667352 11896128 12000771 12678768 13383144 14223136 15056037 16001028 16889974 16905024 17844192 20074716 21334704 24001542 25334961 25357536 26766288 28446272 30112074 32002056 33779948 35688384 36002313 40149432 42669408 48003084 50669922 50715072 53532576 60224148 64004112 67559896 72004626 76004883 80298864 85338816 96006168 101339844 107065152 108006939 120448296 128008224 135119792 144009252 152009766 160597728 192012336 202679688 216013878 228014649 240896592 256016448 270239584 288018504 304019532 321195456 324020817 384024672 405359376 432027756 456029298 481793184 483142151 540479168 576037008 608039064 648041634 684043947 768049344 810718752 864055512 912058596 963586368 966284302 1152074016 1216078128 1296083268 1368087894 1449426453 1621437504 1728111024 1824117192 1932568604 2052131841 2304148032 2432156256 2592166536 2736175788 2898852906 3456222048 3648234384 3865137208 4104263682 4348279359 4864312512 5184333072 5472351576 5797705812 6156395523 6912444096 7296468768 7730274416 8208527364 8696558718 9179700869 10368666144 10944703152 11595411624 12312791046 13044838077 14592937536 15460548832 16417054728 17393117436 18359401738 20737332288 21889406304 23190823248 24625582092 26089676154 27539102607 30921097664 32834109456 34786234872 36718803476 39134514231 43778812608 46381646496 49251164184 52179352308 55078205214 65668218912 69572469744 73437606952 78269028462 82617307821 92763292992 98502328368 104358704616 110156410428 117403542693 131336437824 139144939488 146875213904 156538056924 165234615642 197004656736 208717409232 220312820856 234807085386 247851923463 278289878976 293750427808 313076113848 330469231284 352210628079 394009313472 417434818464 440625641712 469614170772 495703846926 587500855616 626152227696 660938462568 704421256158 743555770389 834869636928 881251283424 939228341544 991407693852 1252304455392 1321876925136 1408842512316 1487111540778 1762502566848 1878456683088 1982815387704 2230667311167 2504608910784 2643753850272 2817685024632 2974223081556 3756913366176 3965630775408 4461334622334 5287507700544 5635370049264 5948446163112 6692001933501 7513826732352 7931261550816 8922669244668 11270740098528 11896892326224 13384003867002 15862523101632 17845338489336 22541480197056 23793784652448 26768007734004 35690676978672 47587569304896 53536015468008 71381353957344 107072030936016 142762707914688 214144061872032 428288123744064
• Sum of all divisors σ(n): 1342545877808640
• Sum of proper divisors (its aliquot sum) s(n): 914257754064576
• 428288123744064 is an abundant number, because the sum of its proper divisors (914257754064576) is greater than itself. Its abundance is 485969630320512

Bases of 428288123744064

• Binary: 1100001011000011010011001011110100010111101000000₂
• Hexadecimal: 0x18586997A2F40
• Base-36: 47TCUIT000

Squares and roots of 428288123744064

• 428288123744064 squared (428288123744064²) is 183430716940210677457375236096
• 428288123744064 cubed (428288123744064³) is 78561197595351327242178569885882135478534144
• The square root of 428288123744064 is 20695123.1874580539
• The cube root of 428288123744064 is 75378.1273548207

Scales and comparisons

• 428,288,123,744,064 seconds is equal to 13,618,237 years, 28 weeks, 5 days, 6 hours, 14 minutes, 24 seconds.
• To count from 1 to 428,288,123,744,064 would take you about thirty-four million, forty-five thousand, five hundred ninety-three 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 428288123744064 cubic inches would be around 6281.5 feet tall.

Recreational maths with 428288123744064

• 428288123744064 backwards is 460447321882824
• The number of decimal digits it has is: 15
• The sum of 428288123744064's digits is 63
• More coming soon!