13545345216738816

Names of 13545345216738816

• Cardinal: 13545345216738816 can be written as Thirteen quadrillion, five hundred forty-five trillion, three hundred forty-five billion, two hundred sixteen million, seven hundred thirty-eight thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.3545345216738816 × 10¹⁶

Factors of 13545345216738816

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 88362552

Divisors of 13545345216738816

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 853 864 936 1152 1248 1404 1536 1664 1706 1728 1872 2304 2496 2559 2808 3328 3412 3456 3744 4608 4992 5118 5616 6656 6824 6912 7488 7677 9984 10236 11089 11232 13648 13824 14976 15354 19968 20472 22178 22464 23031 27296 29952 30708 33267 40944 44356 44928 46062 54592 59904 61416 66534 81888 88712 89856 92124 99801 109184 122832 133068 163776 177424 179712 184248 199602 218368 245664 266136 299403 327552 354848 368496 399204 436736 491328 532272 598806 655104 709696 736992 798408 982656 1064544 1197612 1310208 1419392 1473984 1596816 1965312 2129088 2395224 2838784 2947968 3193632 3930624 4258176 4790448 5677568 5895936 6387264 8516352 9580896 11791872 12774528 17032704 19161792 25549056 38323584 51098112 76647168 88361681 153294336 176723362 265085043 353446724 530170086 706893448 795255129 1060340172 1148701853 1413786896 1590510258 2120680344 2297403706 2385765387 2827573792 3181020516 3446105559 4241360688 4594807412 4771530774 5655147584 6362041032 6892211118 8482721376 9189614824 9543061548 10338316677 11310295168 12724082064 13784422236 16965442752 18379229648 19086123096 20676633354 22620590336 25448164128 27568844472 31014950031 33930885504 36758459296 38172246192 41353266708 45241180672 50896328256 55137688944 62029900062 67861771008 73516918592 75372513893 76344492384 82706533416 101792656512 110275377888 124059800124 135723542016 147033837184 150745027786 152688984768 165413066832 203585313024 220550755776 226117541679 248119600248 294067674368 301490055572 305377969536 330826133664 407170626048 441101511552 452235083358 496239200496 588135348736 602980111144 610755939072 661652267328 678352625037 882203023104 904470166716 979842680609 992478400992 1205960222288 1221511878144 1323304534656 1356705250074 1764406046208 1808940333432 1959685361218 1984956801984 2035057875111 2411920444576 2646609069312 2713410500148 2939528041827 3617880666864 3919370722436 3969913603968 4070115750222 4823840889152 5293218138624 5426821000296 5879056083654 7235761333728 7838741444872 7939827207936 8140231500444 8818584125481 9647681778304 10853642000592 11758112167308 14471522667456 15677482889744 15879654415872 16280463000888 17637168250962 19295363556608 21707284001184 23516224334616 26455752376443 28943045334912 31354965779488 32560926001776 35274336501924 38590727113216 43414568002368 47032448669232 52911504752886 57886090669824 62709931558976 65121852003552 70548673003848 86829136004736 94064897338464 105823009505772 115772181339648 125419863117952 130243704007104 141097346007696 173658272009472 188129794676928 211646019011544 250839726235904 260487408014208 282194692015392 347316544018944 376259589353856 423292038023088 501679452471808 520974816028416 564389384030784 752519178707712 846584076046176 1041949632056832 1128778768061568 1505038357415424 1693168152092352 2257557536123136 3386336304184704 4515115072246272 6772672608369408 13545345216738816
• Sum of all divisors σ(n): 43230026888072640
• Sum of proper divisors (its aliquot sum) s(n): 29684681671333824
• 13545345216738816 is an abundant number, because the sum of its proper divisors (29684681671333824) is greater than itself. Its abundance is 16139336454595008

Bases of 13545345216738816

• Binary: 110000000111110110101101110010000000001111011000000000₂
• Hexadecimal: 0x301F6B7200F600
• Base-36: 3PDF9ORLHC0

Squares and roots of 13545345216738816

• 13545345216738816 squared (13545345216738816²) is 183476377040629122198754361081856
• 13545345216738816 cubed (13545345216738816³) is 2485250866131853200984826231585649656037948522496
• The square root of 13545345216738816 is 116384471.5446988487
• The cube root of 13545345216738816 is 238376.4563223099

Scales and comparisons

• 13,545,345,216,738,816 seconds is equal to 430,700,079 years, 20 weeks, 1 day, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 13,545,345,216,738,816 would take you about one billion, two hundred ninety-two million, one hundred thousand, two hundred thirty-eight 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 13545345216738816 cubic inches would be around 19864.7 feet tall.

Recreational maths with 13545345216738816

• 13545345216738816 backwards is 61883761254354531
• 13545345216738816 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13545345216738816's digits is 72
• More coming soon!