420115968
420,115,968 is an even composite number composed of five prime numbers multiplied together.
420115968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 420115968:
29 × 32 × 17 × 31 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 31 × 173)See below for interesting mathematical facts about the number 420115968 from the Numbermatics database.
Names of 420115968
- Cardinal: 420115968 can be written as Four hundred twenty million, one hundred fifteen thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.20115968 × 108
Factors of 420115968
Divisors of 420115968
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 64 68 72 93 96 102 124 128 136 144 153 173 186 192 204 248 256 272 279 288 306 346 372 384 408 496 512 519 527 544 558 576 612 692 744 768 816 992 1038 1054 1088 1116 1152 1224 1384 1488 1536 1557 1581 1632 1984 2076 2108 2176 2232 2304 2448 2768 2941 2976 3114 3162 3264 3968 4152 4216 4352 4464 4608 4743 4896 5363 5536 5882 5952 6228 6324 6528 7936 8304 8432 8704 8823 8928 9486 9792 10726 11072 11764 11904 12456 12648 13056 15872 16089 16608 16864 17646 17856 18972 19584 21452 22144 23528 23808 24912 25296 26112 26469 32178 33216 33728 35292 35712 37944 39168 42904 44288 47056 47616 48267 49824 50592 52938 64356 66432 67456 70584 71424 75888 78336 85808 88576 91171 94112 96534 99648 101184 105876 128712 132864 134912 141168 142848 151776 171616 182342 188224 193068 199296 202368 211752 257424 265728 269824 273513 282336 303552 343232 364684 376448 386136 398592 404736 423504 514848 547026 564672 607104 686464 729368 752896 772272 797184 809472 820539 847008 1029696 1094052 1129344 1214208 1372928 1458736 1505792 1544544 1641078 1694016 2059392 2188104 2258688 2428416 2745856 2917472 3089088 3282156 3388032 4118784 4376208 4517376 5834944 6178176 6564312 6776064 8237568 8752416 11669888 12356352 13128624 13552128 17504832 23339776 24712704 26257248 35009664 46679552 52514496 70019328 105028992 140038656 210057984 420115968
- Sum of all divisors σ(n): 1332878976
- Sum of proper divisors (its aliquot sum) s(n): 912763008
- 420115968 is an abundant number, because the sum of its proper divisors (912763008) is greater than itself. Its abundance is 492647040
Bases of 420115968
- Binary: 110010000101001110110000000002
- Hexadecimal: 0x190A7600
- Base-36: 6Y4JK0
Squares and roots of 420115968
- 420115968 squared (4201159682) is 176497426568577024
- 420115968 cubed (4201159683) is 74149387212366654820319232
-
The
square root of 420115968 is 20496.7306661331 -
The
cube root of 420115968 is 748.9561585339
Scales and comparisons
How big is 420115968?- 420,115,968 seconds is equal to 13 years, 18 weeks, 4 days, 10 hours, 52 minutes, 48 seconds.
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To count from 1 to 420,115,968 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 420115968 cubic inches would be around 62.4 feet tall.
Recreational maths with 420115968
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