982128420
982,128,420 is an even composite number composed of seven prime numbers multiplied together.
982128420 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 982128420:
22 × 32 × 5 × 7 × 13 × 17 × 3527
(2 × 2 × 3 × 3 × 5 × 7 × 13 × 17 × 3527)See below for interesting mathematical facts about the number 982128420 from the Numbermatics database.
Names of 982128420
- Cardinal: 982128420 can be written as Nine hundred eighty-two million, one hundred twenty-eight thousand, four hundred twenty.
Scientific notation
- Scientific notation: 9.8212842 × 108
Factors of 982128420
Divisors of 982128420
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 17 18 20 21 26 28 30 34 35 36 39 42 45 51 52 60 63 65 68 70 78 84 85 90 91 102 105 117 119 126 130 140 153 156 170 180 182 195 204 210 221 234 238 252 255 260 273 306 315 340 357 364 390 420 442 455 468 476 510 546 585 595 612 630 663 714 765 780 819 884 910 1020 1071 1092 1105 1170 1190 1260 1326 1365 1428 1530 1547 1638 1785 1820 1989 2142 2210 2340 2380 2652 2730 3060 3094 3276 3315 3527 3570 3978 4095 4284 4420 4641 5355 5460 6188 6630 7054 7140 7735 7956 8190 9282 9945 10581 10710 13260 13923 14108 15470 16380 17635 18564 19890 21162 21420 23205 24689 27846 30940 31743 35270 39780 42324 45851 46410 49378 52905 55692 59959 63486 69615 70540 74067 91702 92820 98756 105810 119918 123445 126972 137553 139230 148134 158715 179877 183404 211620 222201 229255 239836 246890 275106 278460 296268 299795 317430 320957 359754 370335 412659 419713 444402 458510 493780 539631 550212 599590 634860 641914 687765 719508 740670 779467 825318 839426 888804 899385 917020 962871 1079262 1111005 1199180 1259139 1283828 1375530 1481340 1558934 1604785 1650636 1678852 1798770 1925742 2063295 2098565 2158524 2222010 2338401 2518278 2698155 2751060 2888613 3117868 3209570 3597540 3777417 3851484 3897335 4126590 4197130 4444020 4676802 4814355 5036556 5396310 5456269 5777226 6295695 6419140 7015203 7554834 7794670 8253180 8394260 9353604 9628710 10792620 10912538 11554452 11692005 12591390 14030406 14443065 15109668 15589340 16368807 18887085 19257420 21825076 23384010 25182780 27281345 28060812 28886130 32737614 35076015 37774170 46768020 49106421 54562690 57772260 65475228 70152030 75548340 81844035 98212842 109125380 140304060 163688070 196425684 245532105 327376140 491064210 982128420
- Sum of all divisors σ(n): 3883396608
- Sum of proper divisors (its aliquot sum) s(n): 2901268188
- 982128420 is an abundant number, because the sum of its proper divisors (2901268188) is greater than itself. Its abundance is 1919139768
Bases of 982128420
- Binary: 1110101000101000010111001001002
- Hexadecimal: 0x3A8A1724
- Base-36: G8QF50
Squares and roots of 982128420
- 982128420 squared (9821284202) is 964576233371696400
- 982128420 cubed (9821284203) is 947337732050895458051688000
-
The
square root of 982128420 is 31338.9281884369 -
The
cube root of 982128420 is 994.0069619107
Scales and comparisons
How big is 982128420?- 982,128,420 seconds is equal to 31 years, 11 weeks, 6 days, 5 hours, 27 minutes.
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To count from 1 to 982,128,420 would take you about forty-six 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 982128420 cubic inches would be around 82.8 feet tall.
Recreational maths with 982128420
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