12993915251612736

Names of 12993915251612736

• Cardinal: 12993915251612736 can be written as Twelve quadrillion, nine hundred ninety-three trillion, nine hundred fifteen billion, two hundred fifty-one million, six hundred twelve thousand, seven hundred thirty-six.

Scientific notation

• Scientific notation: 1.2993915251612736 × 10¹⁶

Factors of 12993915251612736

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 96943

Divisors of 12993915251612736

• Number of divisors d(n): 315
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 343 392 441 448 504 576 588 672 686 784 882 1008 1029 1176 1344 1372 1568 1764 2016 2058 2352 2401 2744 3087 3136 3528 4032 4116 4704 4802 5488 6174 7056 7203 8232 9408 9604 10976 12348 14112 14406 16464 19208 21609 21952 24696 28224 28812 32928 38416 43218 49392 57624 65856 76832 86436 96931 98784 115248 153664 172872 193862 197568 230496 290793 345744 387724 460992 581586 678517 691488 775448 872379 1163172 1357034 1382976 1550896 1744758 2035551 2326344 2714068 3101792 3489516 4071102 4652688 4749619 5428136 6106653 6203584 6979032 8142204 9305376 9499238 10856272 12213306 13958064 14248857 16284408 18610752 18998476 21712544 24426612 27916128 28497714 32568816 33247333 37996952 42746571 43425088 48853224 55832256 56995428 65137632 66494666 75993904 85493142 97706448 99741999 113990856 130275264 132989332 151987808 170986284 195412896 199483998 227981712 232731331 265978664 299225997 303975616 341972568 390825792 398967996 455963424 465462662 531957328 598451994 683945136 698193993 797935992 911926848 930925324 1063914656 1196903988 1367890272 1396387986 1595871984 1861850648 2094581979 2127829312 2393807976 2735780544 2792775972 3191743968 3723701296 4189163958 4787615952 5585551944 6383487936 7447402592 8378327916 9395618761 9575231904 11171103888 14894805184 16756655832 18791237522 19150463808 22342207776 28186856283 33513311664 37582475044 44684415552 56373712566 65769331327 67026623328 75164950088 84560568849 112747425132 131538662654 134053246656 150329900176 169121137698 197307993981 225494850264 263077325308 300659800352 338242275396 394615987962 450989700528 460385319289 526154650616 591923981943 601319600704 676484550792 789231975924 901979401056 920770638578 1052309301232 1183847963886 1352969101584 1381155957867 1578463951848 1803958802112 1841541277156 2104618602464 2367695927772 2705938203168 2762311915734 3156927903696 3222697235023 3683082554312 4143467873601 4209237204928 4735391855544 5411876406336 5524623831468 6313855807392 6445394470046 7366165108624 8286935747202 9470783711088 9668091705069 11049247662936 12627711614784 12890788940092 14732330217248 16573871494404 18941567422176 19336183410138 22098495325872 22558880645161 25781577880184 29004275115207 29464660434496 33147742988808 37883134844352 38672366820276 44196990651744 45117761290322 51563155760368 58008550230414 66295485977616 67676641935483 77344733640552 88393981303488 90235522580644 103126311520736 116017100460828 132590971955232 135353283870966 154689467281104 180471045161288 203029925806449 206252623041472 232034200921656 265181943910464 270706567741932 309378934562208 360942090322576 406059851612898 464068401843312 541413135483864 618757869124416 721884180645152 812119703225796 928136803686624 1082826270967728 1443768361290304 1624239406451592 1856273607373248 2165652541935456 3248478812903184 4331305083870912 6496957625806368 12993915251612736
• Sum of all divisors σ(n): 43450026832209543
• Sum of proper divisors (its aliquot sum) s(n): 30456111580596807
• 12993915251612736 is an abundant number, because the sum of its proper divisors (30456111580596807) is greater than itself. Its abundance is 17462196328984071

Bases of 12993915251612736

• Binary: 101110001010011110010110100110110100000101110001000000₂
• Hexadecimal: 0x2E29E5A6D05C40
• Base-36: 3JXYI9BUZ40

Squares and roots of 12993915251612736

• 12993915251612736 squared (12993915251612736²) is 168841833566094072311848917405696
• 12993915251612736 cubed (12993915251612736³) is 2193916476284728952445584693377785666925192544256
• 12993915251612736 is a perfect square number. Its square root is 113990856
• The cube root of 12993915251612736 is 235096.7777137681

Scales and comparisons

• 12,993,915,251,612,736 seconds is equal to 413,166,312 years, 9 weeks, 3 days, 9 hours, 45 minutes, 36 seconds.
• To count from 1 to 12,993,915,251,612,736 would take you about one billion, two hundred thirty-nine million, four hundred ninety-eight thousand, nine hundred thirty-six 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 12993915251612736 cubic inches would be around 19591.4 feet tall.

Recreational maths with 12993915251612736

• 12993915251612736 backwards is 63721615251939921
• 12993915251612736 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12993915251612736's digits is 72
• More coming soon!