138540960
138,540,960 is an even composite number composed of six prime numbers multiplied together.
138540960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138540960:
25 × 32 × 5 × 23 × 47 × 89
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 23 × 47 × 89)See below for interesting mathematical facts about the number 138540960 from the Numbermatics database.
Names of 138540960
- Cardinal: 138540960 can be written as One hundred thirty-eight million, five hundred forty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3854096 × 108
Factors of 138540960
Divisors of 138540960
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 47 48 60 69 72 80 89 90 92 94 96 115 120 138 141 144 160 178 180 184 188 207 230 235 240 267 276 282 288 345 356 360 368 376 414 423 445 460 470 480 534 552 564 690 705 712 720 736 752 801 828 846 890 920 940 1035 1068 1081 1104 1128 1335 1380 1410 1424 1440 1504 1602 1656 1692 1780 1840 1880 2047 2070 2115 2136 2162 2208 2256 2670 2760 2820 2848 3204 3243 3312 3384 3560 3680 3760 4005 4094 4140 4183 4230 4272 4324 4512 5340 5405 5520 5640 6141 6408 6486 6624 6768 7120 7520 8010 8188 8280 8366 8460 8544 8648 9729 10235 10680 10810 11040 11280 12282 12549 12816 12972 13536 14240 16020 16215 16376 16560 16732 16920 17296 18423 19458 20470 20915 21360 21620 22560 24564 25098 25632 25944 30705 32040 32430 32752 33120 33464 33840 34592 36846 37647 38916 40940 41830 42720 43240 48645 49128 50196 51888 61410 62745 64080 64860 65504 66928 67680 73692 75294 77832 81880 83660 86480 92115 96209 97290 98256 100392 103776 122820 125490 128160 129720 133856 147384 150588 155664 163760 167320 172960 184230 188235 192418 194580 196512 200784 245640 250980 259440 288627 294768 301176 311328 327520 334640 368460 376470 384836 389160 401568 481045 491280 501960 518880 577254 589536 602352 669280 736920 752940 769672 778320 865881 962090 982560 1003920 1154508 1204704 1443135 1473840 1505880 1539344 1556640 1731762 1924180 2007840 2309016 2886270 2947680 3011760 3078688 3463524 3848360 4329405 4618032 5772540 6023520 6927048 7696720 8658810 9236064 11545080 13854096 15393440 17317620 23090160 27708192 34635240 46180320 69270480 138540960
- Sum of all divisors σ(n): 509483520
- Sum of proper divisors (its aliquot sum) s(n): 370942560
- 138540960 is an abundant number, because the sum of its proper divisors (370942560) is greater than itself. Its abundance is 232401600
Bases of 138540960
- Binary: 10000100000111110111101000002
- Hexadecimal: 0x841F7A0
- Base-36: 2AHEW0
Squares and roots of 138540960
- 138540960 squared (1385409602) is 19193597597721600
- 138540960 cubed (1385409603) is 2659099437042044276736000
-
The
square root of 138540960 is 11770.3423909417 -
The
cube root of 138540960 is 517.4392843421
Scales and comparisons
How big is 138540960?- 138,540,960 seconds is equal to 4 years, 21 weeks, 11 hours, 36 minutes.
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To count from 1 to 138,540,960 would take you about six 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 138540960 cubic inches would be around 43.1 feet tall.
Recreational maths with 138540960
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