138348864
138,348,864 is an even composite number composed of four prime numbers multiplied together.
138348864 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 138348864:
26 × 33 × 23 × 592
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 23 × 59 × 59)See below for interesting mathematical facts about the number 138348864 from the Numbermatics database.
Names of 138348864
- Cardinal: 138348864 can be written as One hundred thirty-eight million, three hundred forty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.38348864 × 108
Factors of 138348864
Divisors of 138348864
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 59 64 69 72 92 96 108 118 138 144 177 184 192 207 216 236 276 288 354 368 414 432 472 531 552 576 621 708 736 828 864 944 1062 1104 1242 1357 1416 1472 1593 1656 1728 1888 2124 2208 2484 2714 2832 3186 3312 3481 3776 4071 4248 4416 4968 5428 5664 6372 6624 6962 8142 8496 9936 10443 10856 11328 12213 12744 13248 13924 16284 16992 19872 20886 21712 24426 25488 27848 31329 32568 33984 36639 39744 41772 43424 48852 50976 55696 62658 65136 73278 80063 83544 86848 93987 97704 101952 111392 125316 130272 146556 160126 167088 187974 195408 222784 240189 250632 260544 293112 320252 334176 375948 390816 480378 501264 586224 640504 668352 720567 751896 781632 960756 1002528 1172448 1281008 1441134 1503792 1921512 2005056 2161701 2344896 2562016 2882268 3007584 3843024 4323402 5124032 5764536 6015168 7686048 8646804 11529072 15372096 17293608 23058144 34587216 46116288 69174432 138348864
- Sum of all divisors σ(n): 431718720
- Sum of proper divisors (its aliquot sum) s(n): 293369856
- 138348864 is an abundant number, because the sum of its proper divisors (293369856) is greater than itself. Its abundance is 155020992
Bases of 138348864
- Binary: 10000011111100001001010000002
- Hexadecimal: 0x83F0940
- Base-36: 2ADAO0
Squares and roots of 138348864
- 138348864 squared (1383488642) is 19140408170090496
- 138348864 cubed (1383488643) is 2648053726828338898796544
-
The
square root of 138348864 is 11762.1793898921 -
The
cube root of 138348864 is 517.2000193797
Scales and comparisons
How big is 138348864?- 138,348,864 seconds is equal to 4 years, 20 weeks, 5 days, 6 hours, 14 minutes, 24 seconds.
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To count from 1 to 138,348,864 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 138348864 cubic inches would be around 43.1 feet tall.
Recreational maths with 138348864
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