138385920
138,385,920 is an even composite number composed of five prime numbers multiplied together.
138385920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 138385920:
29 × 3 × 5 × 37 × 487
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 37 × 487)See below for interesting mathematical facts about the number 138385920 from the Numbermatics database.
Names of 138385920
- Cardinal: 138385920 can be written as One hundred thirty-eight million, three hundred eighty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3838592 × 108
Factors of 138385920
Divisors of 138385920
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 487 512 555 592 640 740 768 888 960 974 1110 1184 1280 1461 1480 1536 1776 1920 1948 2220 2368 2435 2560 2922 2960 3552 3840 3896 4440 4736 4870 5844 5920 7104 7305 7680 7792 8880 9472 9740 11688 11840 14208 14610 15584 17760 18019 18944 19480 23376 23680 28416 29220 31168 35520 36038 38960 46752 47360 54057 56832 58440 62336 71040 72076 77920 90095 93504 94720 108114 116880 124672 142080 144152 155840 180190 187008 216228 233760 249344 270285 284160 288304 311680 360380 374016 432456 467520 540570 576608 623360 720760 748032 864912 935040 1081140 1153216 1246720 1441520 1729824 1870080 2162280 2306432 2883040 3459648 3740160 4324560 4612864 5766080 6919296 8649120 9225728 11532160 13838592 17298240 23064320 27677184 34596480 46128640 69192960 138385920
- Sum of all divisors σ(n): 455292288
- Sum of proper divisors (its aliquot sum) s(n): 316906368
- 138385920 is an abundant number, because the sum of its proper divisors (316906368) is greater than itself. Its abundance is 178520448
Bases of 138385920
- Binary: 10000011111110011010000000002
- Hexadecimal: 0x83F9A00
- Base-36: 2AE39C
Squares and roots of 138385920
- 138385920 squared (1383859202) is 19150662854246400
- 138385920 cubed (1383859203) is 2650182097694713970688000
-
The
square root of 138385920 is 11763.7545027087 -
The
cube root of 138385920 is 517.2461916733
Scales and comparisons
How big is 138385920?- 138,385,920 seconds is equal to 4 years, 20 weeks, 5 days, 16 hours, 32 minutes.
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To count from 1 to 138,385,920 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 138385920 cubic inches would be around 43.1 feet tall.
Recreational maths with 138385920
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