825227130
825,227,130 is an even composite number composed of seven prime numbers multiplied together.
825227130 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 825227130:
2 × 3 × 5 × 73 × 13 × 31 × 199
(2 × 3 × 5 × 7 × 7 × 7 × 13 × 31 × 199)See below for interesting mathematical facts about the number 825227130 from the Numbermatics database.
Names of 825227130
- Cardinal: 825227130 can be written as Eight hundred twenty-five million, two hundred twenty-seven thousand, one hundred thirty.
Scientific notation
- Scientific notation: 8.2522713 × 108
Factors of 825227130
Divisors of 825227130
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 49 62 65 70 78 91 93 98 105 130 147 155 182 186 195 199 210 217 245 273 294 310 343 390 398 403 434 455 465 490 546 597 637 651 686 735 806 910 930 995 1029 1085 1194 1209 1274 1302 1365 1393 1470 1519 1715 1911 1990 2015 2058 2170 2418 2587 2730 2786 2821 2985 3038 3185 3255 3430 3822 4030 4179 4459 4557 5145 5174 5642 5970 6045 6169 6370 6510 6965 7595 7761 8358 8463 8918 9114 9555 9751 10290 10633 12090 12338 12935 13377 13930 14105 15190 15522 16926 18109 18507 19110 19502 19747 20895 21266 22295 22785 25870 26754 28210 29253 30845 31899 36218 37014 38805 39494 41790 42315 43183 44590 45570 48755 53165 54327 58506 59241 61690 63798 66885 68257 77610 80197 84630 86366 90545 92535 97510 98735 106330 108654 118482 126763 129549 133770 136514 138229 146265 159495 160394 181090 185070 197470 204771 215915 240591 253526 259098 271635 276458 292530 296205 302281 318990 341285 380289 400985 409542 414687 431830 481182 543270 561379 592410 604562 633815 647745 682570 691145 760578 801970 829374 887341 906843 1023855 1122758 1202955 1267630 1295490 1382290 1511405 1684137 1774682 1813686 1901445 2047710 2073435 2115967 2405910 2662023 2806895 3022810 3368274 3802890 3929653 4146870 4231934 4436705 4534215 5324046 5613790 6347901 7859306 8420685 8873410 9068430 10579835 11788959 12695802 13310115 16841370 19648265 21159670 23577918 26620230 27507571 31739505 39296530 55015142 58944795 63479010 82522713 117889590 137537855 165045426 275075710 412613565 825227130
- Sum of all divisors σ(n): 2580480000
- Sum of proper divisors (its aliquot sum) s(n): 1755252870
- 825227130 is an abundant number, because the sum of its proper divisors (1755252870) is greater than itself. Its abundance is 930025740
Bases of 825227130
- Binary: 1100010010111111110111011110102
- Hexadecimal: 0x312FF77A
- Base-36: DNBHBU
Squares and roots of 825227130
- 825227130 squared (8252271302) is 680999816088036900
- 825227130 cubed (8252271303) is 561979523760858518321097000
-
The
square root of 825227130 is 28726.7667863963 -
The
cube root of 825227130 is 937.9747895505
Scales and comparisons
How big is 825227130?- 825,227,130 seconds is equal to 26 years, 12 weeks, 3 days, 5 hours, 45 minutes, 30 seconds.
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To count from 1 to 825,227,130 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 825227130 cubic inches would be around 78.2 feet tall.
Recreational maths with 825227130
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The information we have on file for 825227130 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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