138120120
138,120,120 is an even composite number composed of six prime numbers multiplied together.
138120120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138120120:
23 × 33 × 5 × 19 × 53 × 127
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 19 × 53 × 127)See below for interesting mathematical facts about the number 138120120 from the Numbermatics database.
Names of 138120120
- Cardinal: 138120120 can be written as One hundred thirty-eight million, one hundred twenty thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3812012 × 108
Factors of 138120120
Divisors of 138120120
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 53 54 57 60 72 76 90 95 106 108 114 120 127 135 152 159 171 180 190 212 216 228 254 265 270 285 318 342 360 380 381 424 456 477 508 513 530 540 570 635 636 684 760 762 795 855 954 1007 1016 1026 1060 1080 1140 1143 1270 1272 1368 1431 1524 1590 1710 1905 1908 2014 2052 2120 2280 2286 2385 2413 2540 2565 2862 3021 3048 3180 3420 3429 3810 3816 4028 4104 4572 4770 4826 5035 5080 5130 5715 5724 6042 6360 6731 6840 6858 7155 7239 7620 8056 9063 9144 9540 9652 10070 10260 11430 11448 12065 12084 13462 13716 14310 14478 15105 15240 17145 18126 19080 19304 20140 20193 20520 21717 22860 24130 24168 26924 27189 27432 28620 28956 30210 33655 34290 36195 36252 40280 40386 43434 45315 45720 48260 53848 54378 57240 57912 60420 60579 65151 67310 68580 72390 72504 80772 86868 90630 96520 100965 108585 108756 120840 121158 127889 130302 134620 135945 137160 144780 161544 173736 181260 181737 201930 217170 217512 242316 255778 260604 269240 271890 289560 302895 325755 362520 363474 383667 403860 434340 484632 511556 521208 543780 605790 639445 651510 726948 767334 807720 868680 908685 1023112 1087560 1151001 1211580 1278890 1303020 1453896 1534668 1817370 1918335 2302002 2423160 2557780 2606040 3069336 3453003 3634740 3836670 4604004 5115560 5755005 6906006 7269480 7673340 9208008 11510010 13812012 15346680 17265015 23020020 27624024 34530030 46040040 69060060 138120120
- Sum of all divisors σ(n): 497664000
- Sum of proper divisors (its aliquot sum) s(n): 359543880
- 138120120 is an abundant number, because the sum of its proper divisors (359543880) is greater than itself. Its abundance is 221423760
Bases of 138120120
- Binary: 10000011101110001011101110002
- Hexadecimal: 0x83B8BB8
- Base-36: 2A8E60
Squares and roots of 138120120
- 138120120 squared (1381201202) is 19077167548814400
- 138120120 cubed (1381201203) is 2634940671102350785728000
-
The
square root of 138120120 is 11752.4516591219 -
The
cube root of 138120120 is 516.9148184757
Scales and comparisons
How big is 138120120?- 138,120,120 seconds is equal to 4 years, 20 weeks, 2 days, 14 hours, 42 minutes.
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To count from 1 to 138,120,120 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 138120120 cubic inches would be around 43.1 feet tall.
Recreational maths with 138120120
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