830042928
830,042,928 is an even composite number composed of six prime numbers multiplied together.
830042928 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 830042928:
24 × 32 × 11 × 13 × 173 × 233
(2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 173 × 233)See below for interesting mathematical facts about the number 830042928 from the Numbermatics database.
Names of 830042928
- Cardinal: 830042928 can be written as Eight hundred thirty million, forty-two thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 8.30042928 × 108
Factors of 830042928
Divisors of 830042928
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 173 176 198 208 233 234 264 286 312 346 396 429 466 468 519 528 572 624 692 699 792 858 932 936 1038 1144 1287 1384 1398 1557 1584 1716 1864 1872 1903 2076 2097 2249 2288 2563 2574 2768 2796 3029 3114 3432 3728 3806 4152 4194 4498 5126 5148 5592 5709 6058 6228 6747 6864 7612 7689 8304 8388 8996 9087 10252 10296 11184 11418 12116 12456 13494 15224 15378 16776 17127 17992 18174 20241 20504 20592 22836 23067 24232 24739 24912 26988 27261 30448 30756 33319 33552 34254 35984 36348 40309 40482 41008 45672 46134 48464 49478 53976 54522 61512 66638 68508 72696 74217 80618 80964 91344 92268 98956 99957 107952 109044 120927 123024 133276 137016 145392 148434 161236 161928 184536 197912 199914 218088 222651 241854 266552 274032 296868 299871 322472 323856 362781 369072 395824 399828 436176 443399 445302 483708 524017 533104 593736 599742 644944 725562 799656 886798 890604 967416 1048034 1187472 1199484 1330197 1451124 1572051 1599312 1773596 1781208 1934832 2096068 2398968 2660394 2902248 3144102 3547192 3562416 3990591 4192136 4716153 4797936 5320788 5764187 5804496 6288204 7094384 7981182 8384272 9432306 10641576 11528374 12576408 15962364 17292561 18864612 21283152 23056748 25152816 31924728 34585122 37729224 46113496 51877683 63849456 69170244 75458448 92226992 103755366 138340488 207510732 276680976 415021464 830042928
- Sum of all divisors σ(n): 2756636064
- Sum of proper divisors (its aliquot sum) s(n): 1926593136
- 830042928 is an abundant number, because the sum of its proper divisors (1926593136) is greater than itself. Its abundance is 1096550208
Bases of 830042928
- Binary: 1100010111100101110011001100002
- Hexadecimal: 0x31797330
- Base-36: DQ6P80
Squares and roots of 830042928
- 830042928 squared (8300429282) is 688971262322813184
- 830042928 cubed (8300429283) is 571875723886283936444362752
-
The
square root of 830042928 is 28810.4655984591 -
The
cube root of 830042928 is 939.7958391679
Scales and comparisons
How big is 830042928?- 830,042,928 seconds is equal to 26 years, 20 weeks, 2 days, 23 hours, 28 minutes, 48 seconds.
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To count from 1 to 830,042,928 would take you about thirty-nine 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 830042928 cubic inches would be around 78.3 feet tall.
Recreational maths with 830042928
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