420147216
420,147,216 is an even composite number composed of five prime numbers multiplied together.
420147216 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 420147216:
24 × 33 × 31 × 137 × 229
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 137 × 229)See below for interesting mathematical facts about the number 420147216 from the Numbermatics database.
Names of 420147216
- Cardinal: 420147216 can be written as Four hundred twenty million, one hundred forty-seven thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.20147216 × 108
Factors of 420147216
Divisors of 420147216
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 137 144 186 216 229 248 274 279 372 411 432 458 496 548 558 687 744 822 837 916 1096 1116 1233 1374 1488 1644 1674 1832 2061 2192 2232 2466 2748 3288 3348 3664 3699 4122 4247 4464 4932 5496 6183 6576 6696 7099 7398 8244 8494 9864 10992 12366 12741 13392 14198 14796 16488 16988 19728 21297 24732 25482 28396 29592 31373 32976 33976 38223 42594 49464 50964 56792 59184 62746 63891 67952 76446 85188 94119 98928 101928 113584 114669 125492 127782 152892 170376 188238 191673 203856 229338 250984 255564 282357 305784 340752 376476 383346 458676 501968 511128 564714 611568 752952 766692 847071 917352 972563 1022256 1129428 1505904 1533384 1694142 1834704 1945126 2258856 2917689 3066768 3388284 3890252 4517712 5835378 6776568 7780504 8753067 11670756 13553136 15561008 17506134 23341512 26259201 35012268 46683024 52518402 70024536 105036804 140049072 210073608 420147216
- Sum of all divisors σ(n): 1259443200
- Sum of proper divisors (its aliquot sum) s(n): 839295984
- 420147216 is an abundant number, because the sum of its proper divisors (839295984) is greater than itself. Its abundance is 419148768
Bases of 420147216
- Binary: 110010000101011110000000100002
- Hexadecimal: 0x190AF010
- Base-36: 6Y57O0
Squares and roots of 420147216
- 420147216 squared (4201472162) is 176523683112550656
- 420147216 cubed (4201472163) is 74165934017804372777373696
-
The
square root of 420147216 is 20497.4929198671 -
The
cube root of 420147216 is 748.9747270591
Scales and comparisons
How big is 420147216?- 420,147,216 seconds is equal to 13 years, 18 weeks, 4 days, 19 hours, 33 minutes, 36 seconds.
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To count from 1 to 420,147,216 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 420147216 cubic inches would be around 62.4 feet tall.
Recreational maths with 420147216
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