138390720
138,390,720 is an even composite number composed of five prime numbers multiplied together.
138390720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 138390720:
26 × 3 × 5 × 132 × 853
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 853)See below for interesting mathematical facts about the number 138390720 from the Numbermatics database.
Names of 138390720
- Cardinal: 138390720 can be written as One hundred thirty-eight million, three hundred ninety thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3839072 × 108
Factors of 138390720
Divisors of 138390720
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 169 192 195 208 240 260 312 320 338 390 416 480 507 520 624 676 780 832 845 853 960 1014 1040 1248 1352 1560 1690 1706 2028 2080 2496 2535 2559 2704 3120 3380 3412 4056 4160 4265 5070 5118 5408 6240 6760 6824 8112 8530 10140 10236 10816 11089 12480 12795 13520 13648 16224 17060 20280 20472 22178 25590 27040 27296 32448 33267 34120 40560 40944 44356 51180 54080 54592 55445 66534 68240 81120 81888 88712 102360 110890 133068 136480 144157 162240 163776 166335 177424 204720 221780 266136 272960 288314 332670 354848 409440 432471 443560 532272 576628 665340 709696 720785 818880 864942 887120 1064544 1153256 1330680 1441570 1729884 1774240 2129088 2162355 2306512 2661360 2883140 3459768 3548480 4324710 4613024 5322720 5766280 6919536 8649420 9226048 10645440 11532560 13839072 17298840 23065120 27678144 34597680 46130240 69195360 138390720
- Sum of all divisors σ(n): 476347536
- Sum of proper divisors (its aliquot sum) s(n): 337956816
- 138390720 is an abundant number, because the sum of its proper divisors (337956816) is greater than itself. Its abundance is 199566096
Bases of 138390720
- Binary: 10000011111110101100110000002
- Hexadecimal: 0x83FACC0
- Base-36: 2AE6YO
Squares and roots of 138390720
- 138390720 squared (1383907202) is 19151991382118400
- 138390720 cubed (1383907203) is 2650457876805160501248000
-
The
square root of 138390720 is 11763.9585174381 -
The
cube root of 138390720 is 517.2521719373
Scales and comparisons
How big is 138390720?- 138,390,720 seconds is equal to 4 years, 20 weeks, 5 days, 17 hours, 52 minutes.
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To count from 1 to 138,390,720 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 138390720 cubic inches would be around 43.1 feet tall.
Recreational maths with 138390720
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