138946174723786496

Names of 138946174723786496

• Cardinal: 138946174723786496 can be written as One hundred thirty-eight quadrillion, nine hundred forty-six trillion, one hundred seventy-four billion, seven hundred twenty-three million, seven hundred eighty-six thousand, four hundred ninety-six.

Scientific notation

• Scientific notation: 1.38946174723786496 × 10¹⁷

Factors of 138946174723786496

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2269

Divisors of 138946174723786496

• Number of divisors d(n): 216
• Complete list of divisors:
  1 2 4 8 11 16 22 32 44 64 88 128 176 229 256 352 458 704 916 1408 1832 2027 2519 2816 3664 4054 5038 7328 8108 10076 14656 16216 20152 22297 29312 32432 40304 44594 52441 58624 64864 80608 89188 104882 129728 161216 178376 209764 259456 322432 356752 419528 464183 518912 576851 644864 713504 839056 928366 1153702 1427008 1678112 1856732 2307404 2854016 3356224 3713464 4108729 4614808 5106013 5708032 6712448 7426928 8217458 9229616 10212026 12008989 13424896 14853856 16434916 18459232 20424052 24017978 29707712 32869832 36918464 40848104 45196019 48035956 59415424 65739664 73836928 81696208 90392038 96071912 106297907 118830848 131479328 132098879 147673856 163392416 180784076 192143824 212595814 262958656 264197758 326784832 361568152 384287648 425191628 525917312 528395516 653569664 723136304 768575296 850383256 940898941 1051834624 1056791032 1169276977 1307139328 1446272608 1537150592 1700766512 1881797882 2113582064 2338553954 2892545216 3074301184 3401533024 3763595764 4227164128 4677107908 5785090432 6803066048 7527191528 8454328256 9354215816 10349888351 11570180864 13606132096 15054383056 16908656512 18708431632 20699776702 24342220703 27212264192 30108766112 33817313024 37416863264 41399553404 48684441406 60217532224 74833726528 82799106808 97368882812 120435064448 149667453056 165598213616 194737765624 215465857489 240870128896 267764427733 299334906112 331196427232 389475531248 430931714978 535528855466 662392854464 778951062496 861863429956 1071057710932 1324785708928 1557902124992 1723726859912 2142115421864 2370124432379 2649571417856 3115804249984 3447453719824 4284230843728 4740248864758 6231608499968 6894907439648 8568461687456 9480497729516 13789814879296 17136923374912 18960995459032 27579629758592 34273846749824 37921990918064 49341681364981 55159259517184 68547693499648 75843981836128 98683362729962 151687963672256 197366725459924 303375927344512 394733450919848 542758495014791 606751854689024 789466901839696 1085516990029582 1578933803679392 2171033980059164 3157867607358784 4342067960118328 6315735214717568 8684135920236656 12631470429435136 17368271840473312 34736543680946624 69473087361893248 138946174723786496
• Sum of all divisors σ(n): 304040216692233840
• Sum of proper divisors (its aliquot sum) s(n): 165094041968447344
• 138946174723786496 is an abundant number, because the sum of its proper divisors (165094041968447344) is greater than itself. Its abundance is 26147867244660848

Bases of 138946174723786496

• Binary: 111101101101000101100111101001011010011111000011100000000₂
• Hexadecimal: 0x1EDA2CF4B4F8700
• Base-36: 1204B3GYMEWW

Squares and roots of 138946174723786496

• 138946174723786496 squared (138946174723786496²) is 19306039470373005347999499791958016
• 138946174723786496 cubed (138946174723786496³) is 2682500333474766105885042403824180856004805379751936
• The square root of 138946174723786496 is 372754845.3391135947
• The cube root of 138946174723786496 is 517943.2747021895

Scales and comparisons

• 138,946,174,723,786,496 seconds is equal to 4,418,058,567 years, 24 weeks, 6 days, 8 hours, 14 minutes, 56 seconds.
• To count from 1 to 138,946,174,723,786,496 would take you about thirteen billion, two hundred fifty-four million, one hundred seventy-five thousand, seven hundred two 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 138946174723786496 cubic inches would be around 43161.9 feet tall.

Recreational maths with 138946174723786496

• 138946174723786496 backwards is 694687327471649831
• The number of decimal digits it has is: 18
• The sum of 138946174723786496's digits is 95
• More coming soon!