11509125423998013

Names of 11509125423998013

• Cardinal: 11509125423998013 can be written as Eleven quadrillion, five hundred nine trillion, one hundred twenty-five billion, four hundred twenty-three million, nine hundred ninety-eight thousand and thirteen.

Scientific notation

• Scientific notation: 1.1509125423998013 × 10¹⁶

Factors of 11509125423998013

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 10720

Divisors of 11509125423998013

• Number of divisors d(n): 320
• Complete list of divisors:
  1 3 7 9 21 23 27 49 63 69 147 161 189 207 307 343 441 483 621 921 1029 1127 1323 1449 2149 2401 2763 3087 3381 3851 4347 6447 6529 7061 7203 7889 8289 9261 10143 11553 15043 19341 19587 21183 21609 23667 26957 30429 34659 45129 45703 49427 55223 58023 58761 63549 64827 71001 80871 88573 103977 105301 135387 137109 148281 150167 165669 176283 188699 190647 213003 242613 265719 315903 319921 345989 406161 411327 444843 450501 497007 566097 620011 727839 737107 797157 947709 959763 1037967 1051169 1182257 1233981 1320893 1334529 1351503 1491021 1698291 1860033 2004403 2211321 2239447 2391471 2421923 2843127 2879289 3113901 3153507 3546771 3962679 4054509 4340077 5094873 5580099 6013209 6633963 6718341 7265769 7358183 8275799 8637867 9246251 9341703 9460521 10640313 11888037 13020231 14030821 15676129 16740297 16953461 18039627 19901889 20155023 21797307 22074549 24827397 25143179 27191911 27738753 28381563 30380539 31920939 35664111 39060693 42092463 46101269 47028387 50860383 51507281 54118881 57930593 60465069 65391921 66223647 74482191 75429537 81575733 83216259 91141617 98215747 117182079 126277389 138303807 141085161 152581149 154521843 173791779 176002253 190343377 198670941 212663773 223446573 226288611 244727199 249648777 273424851 294647241 322708883 360550967 378832167 405514151 414911421 423255483 457743447 463565529 521375337 528006759 571030131 578293117 637991319 678865833 687510229 734181597 820274553 883941723 968126649 1081652901 1216542453 1232015771 1244734263 1332403639 1390696587 1564126011 1584020277 1713090393 1734879351 1913973957 2062530687 2258962181 2651825169 2838599057 2904379947 3244958703 3649627359 3696047313 3997210917 4048051819 4752060831 4812571603 5139271179 5204638053 5741921871 6187592061 6776886543 7718955953 8515797171 8624110397 8713139841 9326825473 9734876109 10948882077 11088141939 11991632751 12144155457 14437714809 15613914159 15812735267 18562776183 20330659629 23156867859 25547391513 25872331191 27980476419 28336362733 33264425817 35974898253 36432466371 43313144427 47438205801 54032691671 60368772779 60991978887 65287778311 69470603577 76642174539 77616993573 83941429257 85009088199 109297399113 110689146869 129939433281 142314617403 162098075013 177535986919 181106318337 195863334933 198354539131 208411810731 232850980719 251824287771 255027264597 332067440607 378228841697 426943852209 486294225039 532607960757 543318955011 587590004799 595063617393 765081793791 996202321821 1134686525091 1242751908433 1388481773917 1458882675117 1597823882271 1629956865033 1762770014397 1785190852179 2647601891879 2988606965463 3404059575273 3728255725299 4165445321751 4793471646813 5355572556537 7942805675637 8699263359031 10212178725819 11184767175897 12496335965253 18533213243153 23828417026911 26097790077093 33554301527691 37489007895759 55599639729459 60894843513217 71485251080733 78293370231279 166798919188377 182684530539651 234880110693837 426263904592519 500396757565131 548053591618953 1278791713777557 1644160774856859 3836375141332671 11509125423998013
• Sum of all divisors σ(n): 20832170342860800
• Sum of proper divisors (its aliquot sum) s(n): 9323044918862787
• 11509125423998013 is a deficient number, because the sum of its proper divisors (9323044918862787) is less than itself. Its deficiency is 2186080505135226

Bases of 11509125423998013

• Binary: 101000111000110111110100010100100100101010010000111101₂
• Hexadecimal: 0x28E37D1492A43D
• Base-36: 35BN788MW59

Squares and roots of 11509125423998013

• 11509125423998013 squared (11509125423998013²) is 132459968025317442511565027948169
• 11509125423998013 cubed (11509125423998013³) is 1524498385662144855324045171429271912438122988197
• The square root of 11509125423998013 is 107280592.0192371655
• The cube root of 11509125423998013 is 225777.5595042515

Scales and comparisons

• 11,509,125,423,998,013 seconds is equal to 365,954,588 years, 21 weeks, 6 days, 3 hours, 53 minutes, 33 seconds.
• To count from 1 to 11,509,125,423,998,013 would take you about one billion, ninety-seven million, eight hundred sixty-three thousand, seven hundred sixty-five 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 11509125423998013 cubic inches would be around 18814.8 feet tall.

Recreational maths with 11509125423998013

• 11509125423998013 backwards is 31089932452190511
• 11509125423998013 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 11509125423998013's digits is 63
• More coming soon!