138681729600

Names of 138681729600

• Cardinal: 138681729600 can be written as One hundred thirty-eight billion, six hundred eighty-one million, seven hundred twenty-nine thousand, six hundred.

Scientific notation

• Scientific notation: 1.386817296 × 10¹¹

Factors of 138681729600

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 89495

Divisors of 138681729600

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 25 30 32 34 38 40 48 50 51 57 60 64 68 75 76 80 85 95 96 100 102 114 120 136 150 152 160 170 190 192 200 204 228 240 255 272 285 300 304 320 323 340 380 400 408 425 456 475 480 510 544 570 600 608 646 680 760 800 816 850 912 950 960 969 1020 1088 1140 1200 1216 1275 1292 1360 1425 1520 1600 1615 1632 1700 1824 1900 1938 2040 2280 2400 2550 2584 2720 2850 3040 3230 3264 3400 3648 3800 3876 4080 4560 4800 4845 5100 5168 5440 5700 6080 6460 6800 7600 7752 8075 8160 9120 9690 10200 10336 11400 12920 13600 15200 15504 16150 16320 18240 19380 20400 20672 22800 24225 25840 27200 30400 31008 32300 38760 40800 45600 48450 51680 62016 64600 77520 81600 89449 91200 96900 103360 129200 155040 178898 193800 258400 268347 310080 357796 387600 447245 516800 536694 715592 775200 894490 1073388 1341735 1431184 1520633 1550400 1699531 1788980 2146776 2236225 2683470 2862368 3041266 3399062 3577960 4293552 4472450 4561899 5098593 5366940 5724736 6082532 6708675 6798124 7155920 7603165 8497655 8587104 8944900 9123798 10197186 10733880 12165064 13417350 13596248 14311840 15206330 16995310 17174208 17889800 18247596 20394372 21467760 22809495 24330128 25492965 26834700 27192496 28623680 28892027 30412660 33990620 35779600 36495192 38015825 40788744 42488275 42935520 45618990 48660256 50985930 53669400 54384992 57784054 60825320 67981240 71559200 72990384 76031650 81577488 84976550 85871040 86676081 91237980 97320512 101971860 107338800 108769984 114047475 115568108 121650640 127464825 135962480 143118400 144460135 145980768 152063300 163154976 169953100 173352162 182475960 203943720 214677600 228094950 231136216 243301280 254929650 271924960 288920270 291961536 304126600 326309952 339906200 346704324 364951920 407887440 429355200 433380405 456189900 462272432 486602560 509859300 543849920 577840540 608253200 679812400 693408648 722300675 729903840 815774880 866760810 912379800 924544864 1019718600 1155681080 1216506400 1359624800 1386817296 1444601350 1459807680 1631549760 1733521620 1824759600 1849089728 2039437200 2166902025 2311362160 2433012800 2719249600 2773634592 2889202700 3467043240 3649519200 4078874400 4333804050 4622724320 5547269184 5778405400 6934086480 7299038400 8157748800 8667608100 9245448640 11556810800 13868172960 17335216200 23113621600 27736345920 34670432400 46227243200 69340864800 138681729600
• Sum of all divisors σ(n): 507117096000
• Sum of proper divisors (its aliquot sum) s(n): 368435366400
• 138681729600 is an abundant number, because the sum of its proper divisors (368435366400) is greater than itself. Its abundance is 229753636800

Bases of 138681729600

• Binary: 10000001001010000100110100001001000000₂
• Hexadecimal: 0x204A134240
• Base-36: 1RPJIREO

Squares and roots of 138681729600

• 138681729600 squared (138681729600²) is 19232622124847516160000
• 138681729600 cubed (138681729600³) is 2667213301017080677332750336000000
• The square root of 138681729600 is 372399.9591836713
• The cube root of 138681729600 is 5176.1447937601

Scales and comparisons

• 138,681,729,600 seconds is equal to 4,409 years, 33 weeks, 5 days, 14 hours, 40 minutes.
• To count from 1 to 138,681,729,600 would take you about eight thousand, eight hundred nineteen 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 138681729600 cubic inches would be around 431.3 feet tall.

Recreational maths with 138681729600

• 138681729600 backwards is 006927186831
• 138681729600 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138681729600's digits is 51
• More coming soon!