138679840
138,679,840 is an even composite number composed of five prime numbers multiplied together.
138679840 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 138679840:
25 × 5 × 13 × 61 × 1093
(2 × 2 × 2 × 2 × 2 × 5 × 13 × 61 × 1093)See below for interesting mathematical facts about the number 138679840 from the Numbermatics database.
Names of 138679840
- Cardinal: 138679840 can be written as One hundred thirty-eight million, six hundred seventy-nine thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3867984 × 108
Factors of 138679840
Divisors of 138679840
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 40 52 61 65 80 104 122 130 160 208 244 260 305 416 488 520 610 793 976 1040 1093 1220 1586 1952 2080 2186 2440 3172 3965 4372 4880 5465 6344 7930 8744 9760 10930 12688 14209 15860 17488 21860 25376 28418 31720 34976 43720 56836 63440 66673 71045 87440 113672 126880 133346 142090 174880 227344 266692 284180 333365 454688 533384 568360 666730 866749 1066768 1136720 1333460 1733498 2133536 2273440 2666920 3466996 4333745 5333840 6933992 8667490 10667680 13867984 17334980 27735968 34669960 69339920 138679840
- Sum of all divisors σ(n): 358945776
- Sum of proper divisors (its aliquot sum) s(n): 220265936
- 138679840 is an abundant number, because the sum of its proper divisors (220265936) is greater than itself. Its abundance is 81586096
Bases of 138679840
- Binary: 10000100010000010110001000002
- Hexadecimal: 0x8441620
- Base-36: 2AKE1S
Squares and roots of 138679840
- 138679840 squared (1386798402) is 19232098022425600
- 138679840 cubed (1386798403) is 2667104276614298619904000
-
The
square root of 138679840 is 11776.2404866749 -
The
cube root of 138679840 is 517.6121284565
Scales and comparisons
How big is 138679840?- 138,679,840 seconds is equal to 4 years, 21 weeks, 2 days, 2 hours, 10 minutes, 40 seconds.
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To count from 1 to 138,679,840 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 138679840 cubic inches would be around 43.1 feet tall.
Recreational maths with 138679840
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