138408321024

Names of 138408321024

• Cardinal: 138408321024 can be written as One hundred thirty-eight billion, four hundred eight million, three hundred twenty-one thousand and twenty-four.

Scientific notation

• Scientific notation: 1.38408321024 × 10¹¹

Factors of 138408321024

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 3051

Divisors of 138408321024

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 128 138 144 162 184 192 207 216 243 256 276 288 324 368 384 414 432 486 512 552 576 621 648 736 768 828 864 972 1024 1104 1152 1242 1296 1472 1536 1656 1728 1863 1944 2048 2208 2304 2484 2592 2944 3023 3072 3312 3456 3726 3888 4096 4416 4608 4968 5184 5589 5888 6046 6144 6624 6912 7452 7776 8192 8832 9069 9216 9936 10368 11178 11776 12092 12288 13248 13824 14904 15552 17664 18138 18432 19872 20736 22356 23552 24184 24576 26496 27207 27648 29808 31104 35328 36276 36864 39744 41472 44712 47104 48368 52992 54414 55296 59616 62208 69529 70656 72552 73728 79488 81621 82944 89424 94208 96736 105984 108828 110592 119232 124416 139058 141312 145104 158976 163242 165888 178848 188416 193472 208587 211968 217656 221184 238464 244863 248832 278116 282624 290208 317952 326484 331776 357696 386944 417174 423936 435312 476928 489726 497664 556232 565248 580416 625761 635904 652968 663552 715392 734589 773888 834348 847872 870624 953856 979452 995328 1112464 1160832 1251522 1271808 1305936 1430784 1469178 1547776 1668696 1695744 1741248 1877283 1907712 1958904 1990656 2224928 2321664 2503044 2543616 2611872 2861568 2938356 3095552 3337392 3482496 3754566 3815424 3917808 4449856 4643328 5006088 5087232 5223744 5631849 5723136 5876712 6191104 6674784 6964992 7509132 7630848 7835616 8899712 9286656 10012176 10447488 11263698 11446272 11753424 12382208 13349568 13929984 15018264 15261696 15671232 16895547 17799424 18573312 20024352 20894976 22527396 22892544 23506848 24764416 26699136 27859968 30036528 31342464 33791094 35598848 37146624 40048704 41789952 45054792 45785088 47013696 53398272 55719936 60073056 62684928 67582188 71197696 74293248 80097408 83579904 90109584 94027392 106796544 111439872 120146112 125369856 135164376 142395392 160194816 167159808 180219168 188054784 213593088 222879744 240292224 250739712 270328752 284790784 320389632 334319616 360438336 376109568 427186176 480584448 501479424 540657504 569581568 640779264 668639232 720876672 752219136 854372352 961168896 1002958848 1081315008 1281558528 1441753344 1504438272 1708744704 1922337792 2005917696 2162630016 2563117056 2883506688 3008876544 3844675584 4325260032 5126234112 5767013376 6017753088 7689351168 8650520064 11534026752 15378702336 17301040128 23068053504 34602080256 46136107008 69204160512 138408321024
• Sum of all divisors σ(n): 432800589312
• Sum of proper divisors (its aliquot sum) s(n): 294392268288
• 138408321024 is an abundant number, because the sum of its proper divisors (294392268288) is greater than itself. Its abundance is 155983947264

Bases of 138408321024

• Binary: 10000000111001110001110110000000000000₂
• Hexadecimal: 0x2039C76000
• Base-36: 1RL0QO00

Squares and roots of 138408321024

• 138408321024 squared (138408321024²) is 19156863328682640408576
• 138408321024 cubed (138408321024³) is 2651469289409200120686141530701824
• The square root of 138408321024 is 372032.6881122141
• The cube root of 138408321024 is 5172.7409966467

Scales and comparisons

• 138,408,321,024 seconds is equal to 4,400 years, 49 weeks, 5 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 138,408,321,024 would take you about eight thousand, eight hundred one 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 138408321024 cubic inches would be around 431.1 feet tall.

Recreational maths with 138408321024

• 138408321024 backwards is 420123804831
• 138408321024 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138408321024's digits is 36
• More coming soon!