420146688
420,146,688 is an even composite number composed of five prime numbers multiplied together.
420146688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 420146688:
29 × 3 × 13 × 53 × 397
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 53 × 397)See below for interesting mathematical facts about the number 420146688 from the Numbermatics database.
Names of 420146688
- Cardinal: 420146688 can be written as Four hundred twenty million, one hundred forty-six thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 4.20146688 × 108
Factors of 420146688
Divisors of 420146688
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 128 156 159 192 208 212 256 312 318 384 397 416 424 512 624 636 689 768 794 832 848 1191 1248 1272 1378 1536 1588 1664 1696 2067 2382 2496 2544 2756 3176 3328 3392 4134 4764 4992 5088 5161 5512 6352 6656 6784 8268 9528 9984 10176 10322 11024 12704 13568 15483 16536 19056 19968 20352 20644 21041 22048 25408 27136 30966 33072 38112 40704 41288 42082 44096 50816 61932 63123 66144 76224 81408 82576 84164 88192 101632 123864 126246 132288 152448 165152 168328 176384 203264 247728 252492 264576 273533 304896 330304 336656 352768 495456 504984 529152 547066 609792 660608 673312 820599 990912 1009968 1058304 1094132 1321216 1346624 1641198 1981824 2019936 2188264 2642432 2693248 3282396 3963648 4039872 4376528 5386496 6564792 7927296 8079744 8753056 10772992 13129584 16159488 17506112 26259168 32318976 35012224 52518336 70024448 105036672 140048896 210073344 420146688
- Sum of all divisors σ(n): 1231233696
- Sum of proper divisors (its aliquot sum) s(n): 811087008
- 420146688 is an abundant number, because the sum of its proper divisors (811087008) is greater than itself. Its abundance is 390940320
Bases of 420146688
- Binary: 110010000101011101110000000002
- Hexadecimal: 0x190AEE00
- Base-36: 6Y579C
Squares and roots of 420146688
- 420146688 squared (4201466882) is 176523239437369344
- 420146688 cubed (4201466883) is 74165654404641713314332672
-
The
square root of 420146688 is 20497.4800402391 -
The
cube root of 420146688 is 748.9744133127
Scales and comparisons
How big is 420146688?- 420,146,688 seconds is equal to 13 years, 18 weeks, 4 days, 19 hours, 24 minutes, 48 seconds.
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To count from 1 to 420,146,688 would take you about twenty 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 420146688 cubic inches would be around 62.4 feet tall.
Recreational maths with 420146688
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