137241764503303936

Names of 137241764503303936

• Cardinal: 137241764503303936 can be written as One hundred thirty-seven quadrillion, two hundred forty-one trillion, seven hundred sixty-four billion, five hundred three million, three hundred three thousand, nine hundred thirty-six.

Scientific notation

• Scientific notation: 1.37241764503303936 × 10¹⁷

Factors of 137241764503303936

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 201093

Divisors of 137241764503303936

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 263 329 376 448 526 658 752 896 1052 1316 1504 1792 1841 2104 2632 3008 3682 4208 5264 6016 7364 8416 10528 12032 12361 14728 16832 21056 24722 29456 33664 38083 42112 49444 58912 67328 76166 84224 86527 98888 117824 152332 162691 173054 197776 235648 266581 304664 325382 346108 395552 471296 533162 609328 650764 692216 791104 1066324 1138837 1218656 1301528 1384432 1582208 1789901 2132648 2277674 2437312 2603056 2768864 3164416 3579802 4265296 4555348 4874624 5206112 5537728 7159604 7646477 8530592 9110696 9749248 10015829 10412224 11075456 12529307 14319208 15292954 17061184 18221392 20031658 20824448 22150912 25058614 28638416 30585908 34122368 36442784 40063316 41648896 42787733 50117228 53525339 57276832 61171816 68244736 70110803 72885568 80126632 85575466 100234456 107050678 114553664 122343632 140221606 145771136 160253264 171150932 200468912 214101356 229107328 244687264 280443212 291542272 299514131 320506528 342301864 400937824 428202712 458214656 470743963 489374528 560886424 599028262 641013056 684603728 801875648 856405424 941487926 978749056 1121772848 1198056524 1282026112 1369207456 1603751296 1712810848 1882975852 1957498112 2011023451 2243545696 2396113048 2564052224 2738414912 3207502592 3295207741 3425621696 3765951704 4022046902 4487091392 4792226096 5476829824 6195761353 6590415482 6851243392 7531903408 8044093804 8974182784 9584452192 10953659648 12391522706 13180830964 13702486784 14077164157 15063806816 16088187608 17948365568 19168904384 24783045412 26361661928 28154328314 30127613632 32176375216 38337808768 43370329471 49566090824 52723323856 56308656628 60255227264 64352750432 76675617536 86740658942 99132181648 105446647712 112617313256 120510454528 128705500864 173481317884 198264363296 210893295424 225234626512 257411001728 291200783591 346962635768 396528726592 421786590848 450469253024 514822003456 582401567182 693925271536 793057453184 843573181696 900938506048 1164803134364 1387850543072 1586114906368 1629485235839 1801877012096 2038405485137 2329606268728 2775701086144 3258970471678 3603754024192 4076810970274 4659212537456 5551402172288 6517940943356 8153621940548 9318425074912 11102804344576 11406396650873 13035881886712 16307243881096 18636850149824 22812793301746 26071763773424 32614487762192 37273700299648 45625586603492 52143527546848 65228975524384 74547400599296 76585806084433 91251173206984 104287055093696 130457951048768 153171612168866 182502346413968 208574110187392 260915902097536 306343224337732 365004692827936 417148220374784 521831804195072 536100642591031 612686448675464 730009385655872 1072201285182062 1225372897350928 1460018771311744 2144402570364124 2450745794701856 2920037542623488 4288805140728248 4901491589403712 8577610281456496 9802983178807424 17155220562912992 19605966357614848 34310441125825984 68620882251651968 137241764503303936
• Sum of all divisors σ(n): 320970268767633408
• Sum of proper divisors (its aliquot sum) s(n): 183728504264329472
• 137241764503303936 is an abundant number, because the sum of its proper divisors (183728504264329472) is greater than itself. Its abundance is 46486739761025536

Bases of 137241764503303936

• Binary: 111100111100101001010100001011101100100010011011100000000₂
• Hexadecimal: 0x1E794A85D913700
• Base-36: 11JC5883WXZ4

Squares and roots of 137241764503303936

• 137241764503303936 squared (137241764503303936²) is 18835301923980336262881059993092096
• 137241764503303936 cubed (137241764503303936³) is 2584990070999536844118640423353355263872728727289856
• The square root of 137241764503303936 is 370461556.0396300231
• The cube root of 137241764503303936 is 515816.7384274059

Scales and comparisons

• 137,241,764,503,303,936 seconds is equal to 4,363,863,594 years, 28 weeks, 5 days, 20 hours, 52 minutes, 16 seconds.
• To count from 1 to 137,241,764,503,303,936 would take you about thirteen billion, ninety-one million, five hundred ninety thousand, seven hundred eighty-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 137241764503303936 cubic inches would be around 42984.7 feet tall.

Recreational maths with 137241764503303936

• 137241764503303936 backwards is 639303305467142731
• The number of decimal digits it has is: 18
• The sum of 137241764503303936's digits is 67
• More coming soon!