138394083840
138,394,083,840 is an even composite number composed of six prime numbers multiplied together.
What does the number 138394083840 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
138394083840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138394083840:
29 × 3 × 5 × 23 × 421 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 23 × 421 × 1861)See below for interesting mathematical facts about the number 138394083840 from the Numbermatics database.
Names of 138394083840
- Cardinal: 138394083840 can be written as One hundred thirty-eight billion, three hundred ninety-four million, eighty-three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3839408384 × 1011
Factors of 138394083840
Divisors of 138394083840
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 421 460 480 512 552 640 690 736 768 842 920 960 1104 1263 1280 1380 1472 1536 1684 1840 1861 1920 2105 2208 2526 2560 2760 2944 3368 3680 3722 3840 4210 4416 5052 5520 5583 5888 6315 6736 7360 7444 7680 8420 8832 9305 9683 10104 11040 11166 11776 12630 13472 14720 14888 16840 17664 18610 19366 20208 22080 22332 25260 26944 27915 29049 29440 29776 33680 35328 37220 38732 40416 42803 44160 44664 48415 50520 53888 55830 58098 58880 59552 67360 74440 77464 80832 85606 88320 89328 96830 101040 107776 111660 116196 119104 128409 134720 145245 148880 154928 161664 171212 176640 178656 193660 202080 214015 215552 223320 232392 238208 256818 269440 290490 297760 309856 323328 342424 357312 387320 404160 428030 446640 464784 476416 513636 538880 580980 595520 619712 642045 646656 684848 714624 774640 783481 808320 856060 893280 929568 952832 1027272 1077760 1161960 1191040 1239424 1284090 1369696 1429248 1549280 1566962 1616640 1712120 1786560 1859136 2054544 2323920 2350443 2382080 2478848 2568180 2739392 2858496 3098560 3133924 3233280 3424240 3573120 3718272 3917405 4109088 4647840 4700886 4764160 4957696 5136360 5478784 6197120 6267848 6848480 7146240 7436544 7834810 8218176 9295680 9401772 10272720 10957568 11752215 12394240 12535696 13696960 14292480 14873088 15669620 16436352 18020063 18591360 18803544 20545440 21915136 23504430 24788480 25071392 27393920 31339240 32872704 36040126 37182720 37607088 41090880 47008860 50142784 54060189 54787840 62678480 65745408 72080252 74365440 75214176 82181760 90100315 94017720 100285568 108120378 109575680 125356960 144160504 150428352 164363520 180200630 188035440 200571136 216240756 250713920 270300945 288321008 300856704 328727040 360401260 376070880 401142272 432481512 501427840 540601890 576642016 601713408 720802520 752141760 864963024 1002855680 1081203780 1153284032 1203426816 1441605040 1504283520 1729926048 2005711360 2162407560 2306568064 2883210080 3008567040 3459852096 4324815120 4613136128 5766420160 6017134080 6919704192 8649630240 9226272256 11532840320 13839408384 17299260480 23065680640 27678816768 34598520960 46131361280 69197041920 138394083840
- Sum of all divisors σ(n): 463009865472
- Sum of proper divisors (its aliquot sum) s(n): 324615781632
- 138394083840 is an abundant number, because the sum of its proper divisors (324615781632) is greater than itself. Its abundance is 186221697792
Bases of 138394083840
- Binary: 100000001110001110111000100010000000002
- Hexadecimal: 0x2038EE2200
- Base-36: 1RKS9IIO
Squares and roots of 138394083840
- 138394083840 squared (1383940838402) is 19152922441912949145600
- 138394083840 cubed (1383940838403) is 2650651154207118214037822767104000
-
The
square root of 138394083840 is 372013.5533014893 -
The
cube root of 138394083840 is 5172.5636282387
Scales and comparisons
How big is 138394083840?- 138,394,083,840 seconds is equal to 4,400 years, 26 weeks, 1 day, 9 hours, 4 minutes.
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To count from 1 to 138,394,083,840 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 138394083840 cubic inches would be around 431 feet tall.
Recreational maths with 138394083840
- 138394083840 backwards is 048380493831
- The number of decimal digits it has is: 12
- The sum of 138394083840's digits is 51
- More coming soon!
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