830425200
830,425,200 is an even composite number composed of six prime numbers multiplied together.
830425200 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 830425200:
24 × 3 × 52 × 11 × 53 × 1187
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 53 × 1187)See below for interesting mathematical facts about the number 830425200 from the Numbermatics database.
Names of 830425200
- Cardinal: 830425200 can be written as Eight hundred thirty million, four hundred twenty-five thousand, two hundred.
Scientific notation
- Scientific notation: 8.304252 × 108
Factors of 830425200
Divisors of 830425200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 53 55 60 66 75 80 88 100 106 110 120 132 150 159 165 176 200 212 220 240 264 265 275 300 318 330 400 424 440 528 530 550 583 600 636 660 795 825 848 880 1060 1100 1166 1187 1200 1272 1320 1325 1590 1650 1749 2120 2200 2332 2374 2544 2640 2650 2915 3180 3300 3498 3561 3975 4240 4400 4664 4748 5300 5830 5935 6360 6600 6996 7122 7950 8745 9328 9496 10600 11660 11870 12720 13057 13200 13992 14244 14575 15900 17490 17805 18992 21200 23320 23740 26114 27984 28488 29150 29675 31800 34980 35610 39171 43725 46640 47480 52228 56976 58300 59350 62911 63600 65285 69960 71220 78342 87450 89025 94960 104456 116600 118700 125822 130570 139920 142440 156684 174900 178050 188733 195855 208912 233200 237400 251644 261140 284880 313368 314555 326425 349800 356100 377466 391710 474800 503288 522280 626736 629110 652850 692021 699600 712200 754932 783420 943665 979275 1006576 1044560 1258220 1305700 1384042 1424400 1509864 1566840 1572775 1887330 1958550 2076063 2516440 2611400 2768084 3019728 3133680 3145550 3460105 3774660 3917100 4152126 4718325 5032880 5222800 5536168 6291100 6920210 7549320 7834200 8304252 9436650 10380315 11072336 12582200 13840420 15098640 15668400 16608504 17300525 18873300 20760630 25164400 27680840 33217008 34601050 37746600 41521260 51901575 55361680 69202100 75493200 83042520 103803150 138404200 166085040 207606300 276808400 415212600 830425200
- Sum of all divisors σ(n): 2959203456
- Sum of proper divisors (its aliquot sum) s(n): 2128778256
- 830425200 is an abundant number, because the sum of its proper divisors (2128778256) is greater than itself. Its abundance is 1298353056
Bases of 830425200
- Binary: 1100010111111101001000011100002
- Hexadecimal: 0x317F4870
- Base-36: DQEW6O
Squares and roots of 830425200
- 830425200 squared (8304252002) is 689606012795040000
- 830425200 cubed (8304252003) is 572666211096523651008000000
-
The
square root of 830425200 is 28817.0990906441 -
The
cube root of 830425200 is 939.9400897385
Scales and comparisons
How big is 830425200?- 830,425,200 seconds is equal to 26 years, 21 weeks, 9 hours, 40 minutes.
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To count from 1 to 830,425,200 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 830425200 cubic inches would be around 78.3 feet tall.
Recreational maths with 830425200
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