801401328
801,401,328 is an even composite number composed of six prime numbers multiplied together.
What does the number 801401328 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
801401328 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 801401328:
24 × 32 × 7 × 13 × 23 × 2659
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 23 × 2659)See below for interesting mathematical facts about the number 801401328 from the Numbermatics database.
Names of 801401328
- Cardinal: 801401328 can be written as Eight hundred one million, four hundred one thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 8.01401328 × 108
Factors of 801401328
Divisors of 801401328
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 28 36 39 42 46 48 52 56 63 69 72 78 84 91 92 104 112 117 126 138 144 156 161 168 182 184 207 208 234 252 273 276 299 312 322 336 364 368 414 468 483 504 546 552 598 624 644 728 819 828 897 936 966 1008 1092 1104 1196 1288 1449 1456 1638 1656 1794 1872 1932 2093 2184 2392 2576 2659 2691 2898 3276 3312 3588 3864 4186 4368 4784 5318 5382 5796 6279 6552 7176 7728 7977 8372 10636 10764 11592 12558 13104 14352 15954 16744 18613 18837 21272 21528 23184 23931 25116 31908 33488 34567 37226 37674 42544 43056 47862 50232 55839 61157 63816 69134 74452 75348 95724 100464 103701 111678 122314 127632 138268 148904 150696 167517 183471 191448 207402 223356 241969 244628 276536 297808 301392 311103 335034 366942 382896 414804 428099 446712 483938 489256 550413 553072 622206 670068 725907 733884 795041 829608 856198 893424 967876 978512 1100826 1244412 1284297 1340136 1451814 1467768 1590082 1659216 1712396 1935752 2177721 2201652 2385123 2488824 2568594 2680272 2903628 2935536 3180164 3424792 3852891 3871504 4355442 4403304 4770246 4977648 5137188 5565287 5807256 6360328 6849584 7155369 7705782 8710884 8806608 9540492 10274376 11130574 11614512 12720656 14310738 15411564 16695861 17421768 19080984 20548752 22261148 28621476 30823128 33391722 34843536 38161968 44522296 50087583 57242952 61646256 66783444 89044592 100175166 114485904 133566888 200350332 267133776 400700664 801401328
- Sum of all divisors σ(n): 2881482240
- Sum of proper divisors (its aliquot sum) s(n): 2080080912
- 801401328 is an abundant number, because the sum of its proper divisors (2080080912) is greater than itself. Its abundance is 1278679584
Bases of 801401328
- Binary: 1011111100010001101001111100002
- Hexadecimal: 0x2FC469F0
- Base-36: D94T80
Squares and roots of 801401328
- 801401328 squared (8014013282) is 642244088520163584
- 801401328 cubed (8014013283) is 514695265440208650994839552
-
The
square root of 801401328 is 28309.0326221157 -
The
cube root of 801401328 is 928.8594829111
Scales and comparisons
How big is 801401328?- 801,401,328 seconds is equal to 25 years, 25 weeks, 11 hours, 28 minutes, 48 seconds.
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To count from 1 to 801,401,328 would take you about thirty-eight 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 801401328 cubic inches would be around 77.4 feet tall.
Recreational maths with 801401328
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