828900940
828,900,940 is an even composite number composed of six prime numbers multiplied together.
828900940 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 828900940:
22 × 5 × 7 × 312 × 61 × 101
(2 × 2 × 5 × 7 × 31 × 31 × 61 × 101)See below for interesting mathematical facts about the number 828900940 from the Numbermatics database.
Names of 828900940
- Cardinal: 828900940 can be written as Eight hundred twenty-eight million, nine hundred thousand, nine hundred forty.
Scientific notation
- Scientific notation: 8.2890094 × 108
Factors of 828900940
Divisors of 828900940
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 10 14 20 28 31 35 61 62 70 101 122 124 140 155 202 217 244 305 310 404 427 434 505 610 620 707 854 868 961 1010 1085 1220 1414 1708 1891 1922 2020 2135 2170 2828 3131 3535 3782 3844 4270 4340 4805 6161 6262 6727 7070 7564 8540 9455 9610 12322 12524 13237 13454 14140 15655 18910 19220 21917 24644 26474 26908 30805 31310 33635 37820 43127 43834 52948 58621 61610 62620 66185 67270 86254 87668 97061 109585 117242 123220 132370 134540 172508 190991 194122 215635 219170 234484 264740 293105 381982 388244 410347 431270 438340 485305 586210 679427 763964 820694 862540 954955 970610 1172420 1336937 1358854 1641388 1909910 1941220 2051735 2673874 2717708 3397135 3819820 4103470 5347748 5920721 6684685 6794270 8206940 11841442 13369370 13588540 23682884 26738740 29603605 41445047 59207210 82890094 118414420 165780188 207225235 414450470 828900940
- Sum of all divisors σ(n): 2109989952
- Sum of proper divisors (its aliquot sum) s(n): 1281089012
- 828900940 is an abundant number, because the sum of its proper divisors (1281089012) is greater than itself. Its abundance is 452188072
Bases of 828900940
- Binary: 1100010110100000000110010011002
- Hexadecimal: 0x3168064C
- Base-36: DPI824
Squares and roots of 828900940
- 828900940 squared (8289009402) is 687076768332883600
- 828900940 cubed (8289009403) is 569518579123289448950584000
-
The
square root of 828900940 is 28790.6397983789 -
The
cube root of 828900940 is 939.3646453491
Scales and comparisons
How big is 828900940?- 828,900,940 seconds is equal to 26 years, 18 weeks, 3 days, 18 hours, 15 minutes, 40 seconds.
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To count from 1 to 828,900,940 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 828900940 cubic inches would be around 78.3 feet tall.
Recreational maths with 828900940
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