13521038268399728

Names of 13521038268399728

• Cardinal: 13521038268399728 can be written as Thirteen quadrillion, five hundred twenty-one trillion, thirty-eight billion, two hundred sixty-eight million, three hundred ninety-nine thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.3521038268399728 × 10¹⁶

Factors of 13521038268399728

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 266798

Divisors of 13521038268399728

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 8 11 16 22 31 44 62 88 107 124 176 214 248 263 331 341 428 496 526 662 682 856 1052 1177 1324 1364 1712 2104 2354 2648 2728 2893 3317 3641 4208 4708 5296 5456 5786 6634 7282 8153 9416 10261 11572 13268 14564 16306 18832 20522 23144 26536 28141 29128 32612 35417 36487 41044 46288 53072 56282 58256 65224 70834 72974 82088 87053 89683 112564 112871 130448 141668 145948 164176 174106 179366 225128 225742 266053 283336 291896 309551 348212 358732 389587 450256 451484 532106 566672 583792 619102 696424 717464 779174 872371 902968 957583 1064212 1097927 1238204 1392848 1434928 1558348 1744742 1805936 1915166 2128424 2195854 2476408 2698643 2926583 3116696 3489484 3830332 4256848 4391708 4952816 5397286 5853166 6233392 6978968 7660664 8247643 8783416 9314671 9596081 10794572 11706332 12077197 13957936 15321328 16495286 17566832 18629342 19192162 21589144 23412664 24154394 28467671 29685073 32990572 37258684 38384324 43178288 46825328 48308788 56935342 59370146 65981144 69971939 74517368 76768648 88063543 90724073 96617576 102461381 113870684 118740292 131962288 139943878 149034736 153537296 176127086 181448146 193235152 204922762 227741368 237480584 279887756 288754801 313144381 352254172 362896292 409845524 455482736 474961168 559775512 577509602 626288762 704508344 725792584 769691329 819691048 882497801 968698973 1119551024 1155019204 1252577524 1409016688 1451585168 1539382658 1639382096 1764995602 1937397946 2169130109 2310038408 2505155048 2729969833 3078765316 3176302811 3529991204 3874795892 4338260218 4620076816 5010310096 5459939666 6157530632 6352605622 7059982408 7486997473 7749591784 8676520436 9422799101 9707475811 10919879332 12315061264 12705211244 14119964816 14973994946 15499183568 17353040872 18845598202 19414951622 21839758664 23160711809 23860431199 25410422488 29947989892 30029668163 34706081744 37691196404 38829903244 43679517328 46321423618 47720862398 50820844976 59895979784 60059336326 75382392808 77659806488 82356972203 92642847236 95441724796 103650790111 119791959568 120118672652 150764785616 155319612976 164713944406 185285694472 190883449592 207301580222 232096921663 240237345304 254767829899 292106772131 329427888812 370571388944 381766899184 414603160444 464193843326 480474690608 509535659798 584213544262 658855777624 717982066079 829206320888 928387686652 1019071319596 1168427088524 1317711555248 1435964132158 1658412641776 1856775373304 2038142639192 2336854177048 2478196163563 2553066138293 2871928264316 3213174493441 3713550746608 4076285278384 4673708354096 4956392327126 5106132276586 5743856528632 6426348986882 7897802726869 9912784654252 10212264553172 11487713057264 12852697973764 15795605453738 19825569308504 20424529106344 25705395947528 27260157799193 31591210907476 39651138617008 40849058212688 51410791895056 54520315598386 63182421814952 76824081070453 109040631196772 126364843629904 153648162140906 218081262393544 307296324281812 436162524787088 614592648563624 845064891774983 1229185297127248 1690129783549966 3380259567099932 6760519134199864 13521038268399728
• Sum of all divisors σ(n): 29979782446546944
• Sum of proper divisors (its aliquot sum) s(n): 16458744178147216
• 13521038268399728 is an abundant number, because the sum of its proper divisors (16458744178147216) is greater than itself. Its abundance is 2937705909747488

Bases of 13521038268399728

• Binary: 110000000010010101000000001010111110111000000001110000₂
• Hexadecimal: 0x3009500AFB8070
• Base-36: 3P4T38A54KW

Squares and roots of 13521038268399728

• 13521038268399728 squared (13521038268399728²) is 182818475855529914993741990473984
• 13521038268399728 cubed (13521038268399728³) is 2471895608213131683765951695577847620787896676352
• The square root of 13521038268399728 is 116279999.4341233561
• The cube root of 13521038268399728 is 238233.7831148779

Scales and comparisons

• 13,521,038,268,399,728 seconds is equal to 429,927,193 years, 32 weeks, 20 hours, 22 minutes, 8 seconds.
• To count from 1 to 13,521,038,268,399,728 would take you about one billion, two hundred eighty-nine million, seven hundred eighty-one thousand, five hundred eighty 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 13521038268399728 cubic inches would be around 19852.8 feet tall.

Recreational maths with 13521038268399728

• 13521038268399728 backwards is 82799386283012531
• The number of decimal digits it has is: 17
• The sum of 13521038268399728's digits is 77
• More coming soon!