138427980480
138,427,980,480 is an even composite number composed of six prime numbers multiplied together.
138427980480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138427980480:
26 × 33 × 5 × 43 × 409 × 911
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 43 × 409 × 911)See below for interesting mathematical facts about the number 138427980480 from the Numbermatics database.
Names of 138427980480
- Cardinal: 138427980480 can be written as One hundred thirty-eight billion, four hundred twenty-seven million, nine hundred eighty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3842798048 × 1011
Factors of 138427980480
Divisors of 138427980480
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 43 45 48 54 60 64 72 80 86 90 96 108 120 129 135 144 160 172 180 192 215 216 240 258 270 288 320 344 360 387 409 430 432 480 516 540 576 645 688 720 774 818 860 864 911 960 1032 1080 1161 1227 1290 1376 1440 1548 1636 1720 1728 1822 1935 2045 2064 2160 2322 2454 2580 2733 2752 2880 3096 3272 3440 3644 3681 3870 4090 4128 4320 4555 4644 4908 5160 5466 5805 6135 6192 6544 6880 7288 7362 7740 8180 8199 8256 8640 9110 9288 9816 10320 10932 11043 11610 12270 12384 13088 13665 13760 14576 14724 15480 16360 16398 17587 18220 18405 18576 19632 20640 21864 22086 23220 24540 24597 24768 26176 27330 29152 29448 30960 32720 32796 35174 36440 36810 37152 39173 39264 40995 41280 43728 44172 46440 49080 49194 52761 54660 55215 58304 58896 61920 65440 65592 70348 72880 73620 74304 78346 78528 81990 87456 87935 88344 92880 98160 98388 105522 109320 110430 117519 117792 122985 123840 130880 131184 140696 145760 147240 156692 158283 163980 174912 175870 176688 185760 195865 196320 196776 211044 218640 220860 235038 235584 245970 262368 263805 281392 291520 294480 313384 316566 327960 351740 352557 353376 371520 372599 391730 392640 393552 422088 437280 441720 470076 474849 491940 524736 527610 562784 587595 588960 626768 633132 655920 703480 705114 706752 745198 783460 787104 791415 844176 874560 883440 940152 949698 983880 1055220 1057671 1117797 1125568 1175190 1177920 1253536 1266264 1311840 1406960 1410228 1490396 1566920 1574208 1582830 1688352 1762785 1766880 1862995 1880304 1899396 1967760 2110440 2115342 2235594 2350380 2374245 2507072 2532528 2623680 2813920 2820456 2980792 3133840 3165660 3353391 3376704 3525570 3533760 3725990 3760608 3798792 3935520 4220880 4230684 4471188 4700760 4748490 5065056 5288355 5588985 5627840 5640912 5961584 6267680 6331320 6706782 7051140 7451980 7521216 7597584 7871040 8441760 8461368 8942376 9401520 9496980 10060173 10130112 10576710 11177970 11281824 11923168 12535360 12662640 13413564 14102280 14903960 15195168 16021757 16766955 16883520 16922736 17884752 18803040 18993960 20120346 21153420 22355940 22563648 23846336 25325280 26827128 28204560 29807920 30390336 32043514 33533910 33845472 35769504 37606080 37987920 40240692 42306840 44711880 48065271 50300865 50650560 53654256 56409120 59615840 64087028 67067820 67690944 71539008 75975840 80108785 80481384 84613680 89423760 96130542 100601730 107308512 112818240 119231680 128174056 134135640 144195813 151951680 160217570 160962768 169227360 178847520 192261084 201203460 214617024 240326355 256348112 268271280 288391626 320435140 321925536 338454720 357695040 384522168 402406920 432587439 480652710 512696224 536542560 576783252 640870280 643851072 720979065 769044336 804813840 865174878 961305420 1025392448 1073085120 1153566504 1281740560 1441958130 1538088672 1609627680 1730349756 1922610840 2162937195 2307133008 2563481120 2883916260 3076177344 3219255360 3460699512 3845221680 4325874390 4614266016 5126962240 5767832520 6921399024 7690443360 8651748780 9228532032 11535665040 13842798048 15380886720 17303497560 23071330080 27685596096 34606995120 46142660160 69213990240 138427980480
- Sum of all divisors σ(n): 501471590400
- Sum of proper divisors (its aliquot sum) s(n): 363043609920
- 138427980480 is an abundant number, because the sum of its proper divisors (363043609920) is greater than itself. Its abundance is 224615629440
Bases of 138427980480
- Binary: 100000001110101111001101011010110000002
- Hexadecimal: 0x203AF35AC0
- Base-36: 1RLCG1C0
Squares and roots of 138427980480
- 138427980480 squared (1384279804802) is 19162305779771261030400
- 138427980480 cubed (1384279804803) is 2652599290433967300781195886592000
-
The
square root of 138427980480 is 372059.1088523435 -
The
cube root of 138427980480 is 5172.9858963243
Scales and comparisons
How big is 138427980480?- 138,427,980,480 seconds is equal to 4,401 years, 30 weeks, 1 day, 16 hours, 48 minutes.
-
To count from 1 to 138,427,980,480 would take you about eight thousand, eight hundred 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 138427980480 cubic inches would be around 431.1 feet tall.
Recreational maths with 138427980480
- 138427980480 backwards is 084089724831
- 138427980480 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138427980480's digits is 54
- More coming soon!
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