138720960
138,720,960 is an even composite number composed of five prime numbers multiplied together.
138720960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 138720960:
26 × 32 × 5 × 72 × 983
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 983)See below for interesting mathematical facts about the number 138720960 from the Numbermatics database.
Names of 138720960
- Cardinal: 138720960 can be written as One hundred thirty-eight million, seven hundred twenty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3872096 × 108
Factors of 138720960
Divisors of 138720960
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 140 144 147 160 168 180 192 196 210 224 240 245 252 280 288 294 315 320 336 360 392 420 441 448 480 490 504 560 576 588 630 672 720 735 784 840 882 960 980 983 1008 1120 1176 1260 1344 1440 1470 1568 1680 1764 1960 1966 2016 2205 2240 2352 2520 2880 2940 2949 3136 3360 3528 3920 3932 4032 4410 4704 4915 5040 5880 5898 6720 6881 7056 7840 7864 8820 8847 9408 9830 10080 11760 11796 13762 14112 14745 15680 15728 17640 17694 19660 20160 20643 23520 23592 27524 28224 29490 31456 34405 35280 35388 39320 41286 44235 47040 47184 48167 55048 58980 61929 62912 68810 70560 70776 78640 82572 88470 94368 96334 103215 110096 117960 123858 137620 141120 141552 144501 157280 165144 176940 188736 192668 206430 220192 235920 240835 247716 275240 283104 289002 309645 314560 330288 353880 385336 412860 433503 440384 471840 481670 495432 550480 566208 578004 619290 660576 707760 722505 770672 825720 867006 943680 963340 990864 1100960 1156008 1238580 1321152 1415520 1445010 1541344 1651440 1734012 1926680 1981728 2167515 2201920 2312016 2477160 2831040 2890020 3082688 3302880 3468024 3853360 3963456 4335030 4624032 4954320 5780040 6605760 6936048 7706720 8670060 9248064 9908640 11560080 13872096 15413440 17340120 19817280 23120160 27744192 34680240 46240320 69360480 138720960
- Sum of all divisors σ(n): 555607728
- Sum of proper divisors (its aliquot sum) s(n): 416886768
- 138720960 is an abundant number, because the sum of its proper divisors (416886768) is greater than itself. Its abundance is 278165808
Bases of 138720960
- Binary: 10000100010010110110110000002
- Hexadecimal: 0x844B6C0
- Base-36: 2AL9S0
Squares and roots of 138720960
- 138720960 squared (1387209602) is 19243504743321600
- 138720960 cubed (1387209603) is 2669477451758125940736000
-
The
square root of 138720960 is 11777.9862455345 -
The
cube root of 138720960 is 517.6632825089
Scales and comparisons
How big is 138720960?- 138,720,960 seconds is equal to 4 years, 21 weeks, 2 days, 13 hours, 36 minutes.
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To count from 1 to 138,720,960 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 138720960 cubic inches would be around 43.1 feet tall.
Recreational maths with 138720960
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The information we have on file for 138720960 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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