45138800
45,138,800 is an even composite number composed of four prime numbers multiplied together.
45138800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred fifty divisors.
Prime factorization of 45138800:
24 × 52 × 74 × 47
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 47)See below for interesting mathematical facts about the number 45138800 from the Numbermatics database.
Names of 45138800
- Cardinal: 45138800 can be written as Forty-five million, one hundred thirty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.51388 × 107
Factors of 45138800
Divisors of 45138800
- Number of divisors d(n): 150
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 35 40 47 49 50 56 70 80 94 98 100 112 140 175 188 196 200 235 245 280 329 343 350 376 392 400 470 490 560 658 686 700 752 784 940 980 1175 1225 1316 1372 1400 1645 1715 1880 1960 2303 2350 2401 2450 2632 2744 2800 3290 3430 3760 3920 4606 4700 4802 4900 5264 5488 6580 6860 8225 8575 9212 9400 9604 9800 11515 12005 13160 13720 16121 16450 17150 18424 18800 19208 19600 23030 24010 26320 27440 32242 32900 34300 36848 38416 46060 48020 57575 60025 64484 65800 68600 80605 92120 96040 112847 115150 120050 128968 131600 137200 161210 184240 192080 225694 230300 240100 257936 322420 403025 451388 460600 480200 564235 644840 806050 902776 921200 960400 1128470 1289680 1612100 1805552 2256940 2821175 3224200 4513880 5642350 6448400 9027760 11284700 22569400 45138800
- Sum of all divisors σ(n): 129204528
- Sum of proper divisors (its aliquot sum) s(n): 84065728
- 45138800 is an abundant number, because the sum of its proper divisors (84065728) is greater than itself. Its abundance is 38926928
Bases of 45138800
- Binary: 101011000011000011011100002
- Hexadecimal: 0x2B0C370
- Base-36: QVHBK
Squares and roots of 45138800
- 45138800 squared (451388002) is 2037511265440000
- 45138800 cubed (451388003) is 91970813508443072000000
-
The
square root of 45138800 is 6718.5415083931 -
The
cube root of 45138800 is 356.0546564235
Scales and comparisons
How big is 45138800?- 45,138,800 seconds is equal to 1 year, 22 weeks, 4 days, 10 hours, 33 minutes, 20 seconds.
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To count from 1 to 45,138,800 would take you about two 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 45138800 cubic inches would be around 29.7 feet tall.
Recreational maths with 45138800
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