138362880
138,362,880 is an even composite number composed of four prime numbers multiplied together.
138362880 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 138362880:
214 × 3 × 5 × 563
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 563)See below for interesting mathematical facts about the number 138362880 from the Numbermatics database.
Names of 138362880
- Cardinal: 138362880 can be written as One hundred thirty-eight million, three hundred sixty-two thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3836288 × 108
Factors of 138362880
Divisors of 138362880
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 563 640 768 960 1024 1126 1280 1536 1689 1920 2048 2252 2560 2815 3072 3378 3840 4096 4504 5120 5630 6144 6756 7680 8192 8445 9008 10240 11260 12288 13512 15360 16384 16890 18016 20480 22520 24576 27024 30720 33780 36032 40960 45040 49152 54048 61440 67560 72064 81920 90080 108096 122880 135120 144128 180160 216192 245760 270240 288256 360320 432384 540480 576512 720640 864768 1080960 1153024 1441280 1729536 2161920 2306048 2882560 3459072 4323840 4612096 5765120 6918144 8647680 9224192 11530240 13836288 17295360 23060480 27672576 34590720 46120960 69181440 138362880
- Sum of all divisors σ(n): 443534112
- Sum of proper divisors (its aliquot sum) s(n): 305171232
- 138362880 is an abundant number, because the sum of its proper divisors (305171232) is greater than itself. Its abundance is 166808352
Bases of 138362880
- Binary: 10000011111101000000000000002
- Hexadecimal: 0x83F4000
- Base-36: 2ADLHC
Squares and roots of 138362880
- 138362880 squared (1383628802) is 19144286561894400
- 138362880 cubed (1383628803) is 2648858624249007439872000
-
The
square root of 138362880 is 11762.7751827535 -
The
cube root of 138362880 is 517.2174844809
Scales and comparisons
How big is 138362880?- 138,362,880 seconds is equal to 4 years, 20 weeks, 5 days, 10 hours, 8 minutes.
-
To count from 1 to 138,362,880 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 138362880 cubic inches would be around 43.1 feet tall.
Recreational maths with 138362880
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