138984967419936

Names of 138984967419936

• Cardinal: 138984967419936 can be written as One hundred thirty-eight trillion, nine hundred eighty-four billion, nine hundred sixty-seven million, four hundred nineteen thousand, nine hundred thirty-six.

Scientific notation

• Scientific notation: 1.38984967419936 × 10¹⁴

Factors of 138984967419936

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 15248

Divisors of 138984967419936

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 101 132 138 176 184 202 253 264 276 303 352 368 404 506 528 552 606 736 759 808 1012 1056 1104 1111 1212 1518 1616 2024 2208 2222 2323 2424 3036 3232 3333 4048 4444 4646 4848 6072 6666 6917 6969 8096 8191 8888 9292 9696 12144 13332 13834 13938 16382 17776 18584 20751 24288 24573 25553 26664 27668 27876 32764 35552 37168 41502 49146 51106 53328 55336 55752 65528 74336 76087 76659 83004 90101 98292 102212 106656 110672 111504 131056 152174 153318 159091 166008 180202 188393 196584 204424 221344 223008 228261 262112 270303 304348 306636 318182 332016 360404 376786 393168 408848 456522 477273 540606 565179 608696 613272 636364 664032 698617 720808 753572 786336 817696 827291 913044 954546 1081212 1130358 1217392 1226544 1272728 1397234 1441616 1507144 1654582 1750001 1826088 1909092 2072323 2095851 2162424 2260716 2434784 2453088 2481873 2545456 2794468 2883232 3014288 3309164 3500002 3652176 3818184 4144646 4191702 4324848 4521432 4963746 5090912 5250003 5588936 6028576 6216969 6618328 7000004 7304352 7636368 7684787 8289292 8383404 8649696 9042864 9100201 9927492 10500006 11177872 12433938 13236656 14000008 15272736 15369574 16068191 16578584 16766808 18085728 18200402 19027693 19854984 21000012 22355744 23054361 24867876 26473312 27300603 28000016 30739148 32136382 33157168 33533616 36400804 38055386 39709968 42000024 46108722 48204573 49735752 54601206 56000032 56657147 57083079 61478296 64272764 66314336 67067232 72801608 76110772 79419936 84000048 92217444 96409146 99471504 109202412 113314294 114166158 122956592 128545528 145603216 152221544 168000096 169971441 176750101 184434888 192818292 198943008 209304623 218404824 226628588 228332316 245913184 257091056 291206432 304443088 339942882 353500202 368869776 385636584 418609246 436809648 453257176 456664632 514182112 530250303 608886176 623228617 627913869 679885764 707000404 737739552 771273168 837218492 873619296 906514352 913329264 1060500606 1246457234 1255827738 1303114381 1359771528 1414000808 1542546336 1674436984 1813028704 1826658528 1869685851 2121001212 2492914468 2511655476 2606228762 2719543056 2828001616 3348873968 3739371702 3909343143 4242002424 4985828936 5023310952 5212457524 5439086112 5656003232 5722371847 6697747936 7478743404 7818686286 8484004848 9971657872 10046621904 10424915048 11444743694 14334258191 14957486808 15637372572 16968009696 17167115541 19943315744 20093243808 20849830096 22889487388 28668516382 29914973616 31274745144 34334231082 41699660192 43002774573 45778974776 57337032764 59829947232 62549490288 62946090317 68668462164 86005549146 91557949552 114674065528 125098980576 125892180634 131614552481 137336924328 172011098292 183115899104 188838270951 229348131056 251784361268 263229104962 274673848656 344022196584 377676541902 394843657443 458696262112 503568722536 526458209924 549347697312 688044393168 755353083804 789687314886 1007137445072 1052916419848 1376088786336 1447760077291 1510706167608 1579374629772 2014274890144 2105832839696 2895520154582 3021412335216 3158749259544 4211665679392 4343280231873 5791040309164 6042824670432 6317498519088 8686560463746 11582080618328 12634997038176 17373120927492 23164161236656 34746241854984 46328322473312 69492483709968 138984967419936
• Sum of all divisors σ(n): 419530656448512
• Sum of proper divisors (its aliquot sum) s(n): 280545689028576
• 138984967419936 is an abundant number, because the sum of its proper divisors (280545689028576) is greater than itself. Its abundance is 141560721608640

Bases of 138984967419936

• Binary: 11111100110011111110101100111001011100000100000₂
• Hexadecimal: 0x7E67F59CB820
• Base-36: 1D9KT946QO

Squares and roots of 138984967419936

• 138984967419936 squared (138984967419936²) is 19316821168720671380570244096
• 138984967419936 cubed (138984967419936³) is 2684747760791372558354283673735650856697856
• The square root of 138984967419936 is 11789188.5819141939
• The cube root of 138984967419936 is 51799.1472134339

Scales and comparisons

• 138,984,967,419,936 seconds is equal to 4,419,292 years, 2 weeks, 6 days, 2 hours, 25 minutes, 36 seconds.
• To count from 1 to 138,984,967,419,936 would take you about eleven million, forty-eight thousand, two hundred thirty 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 138984967419936 cubic inches would be around 4316.6 feet tall.

Recreational maths with 138984967419936

• 138984967419936 backwards is 639914769489831
• The number of decimal digits it has is: 15
• The sum of 138984967419936's digits is 87
• More coming soon!