985428640
985,428,640 is an even composite number composed of five prime numbers multiplied together.
985428640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 985428640:
25 × 5 × 7 × 283 × 3109
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 283 × 3109)See below for interesting mathematical facts about the number 985428640 from the Numbermatics database.
Names of 985428640
- Cardinal: 985428640 can be written as Nine hundred eighty-five million, four hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 9.8542864 × 108
Factors of 985428640
Divisors of 985428640
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 283 560 566 1120 1132 1415 1981 2264 2830 3109 3962 4528 5660 6218 7924 9056 9905 11320 12436 15545 15848 19810 21763 22640 24872 31090 31696 39620 43526 45280 49744 62180 63392 79240 87052 99488 108815 124360 158480 174104 217630 248720 316960 348208 435260 497440 696416 870520 879847 1741040 1759694 3482080 3519388 4399235 6158929 7038776 8798470 12317858 14077552 17596940 24635716 28155104 30794645 35193880 49271432 61589290 70387760 98542864 123178580 140775520 197085728 246357160 492714320 985428640
- Sum of all divisors σ(n): 2670917760
- Sum of proper divisors (its aliquot sum) s(n): 1685489120
- 985428640 is an abundant number, because the sum of its proper divisors (1685489120) is greater than itself. Its abundance is 700060480
Bases of 985428640
- Binary: 1110101011110001110010101000002
- Hexadecimal: 0x3ABC72A0
- Base-36: GAP5LS
Squares and roots of 985428640
- 985428640 squared (9854286402) is 971069604532249600
- 985428640 cubed (9854286403) is 956919799739552559468544000
-
The
square root of 985428640 is 31391.5377132119 -
The
cube root of 985428640 is 995.1190955313
Scales and comparisons
How big is 985428640?- 985,428,640 seconds is equal to 31 years, 17 weeks, 2 days, 10 hours, 10 minutes, 40 seconds.
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To count from 1 to 985,428,640 would take you about forty-seven 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 985428640 cubic inches would be around 82.9 feet tall.
Recreational maths with 985428640
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