985410972
985,410,972 is an even composite number composed of six prime numbers multiplied together.
985410972 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 985410972:
22 × 32 × 72 × 13 × 97 × 443
(2 × 2 × 3 × 3 × 7 × 7 × 13 × 97 × 443)See below for interesting mathematical facts about the number 985410972 from the Numbermatics database.
Names of 985410972
- Cardinal: 985410972 can be written as Nine hundred eighty-five million, four hundred ten thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 9.85410972 × 108
Factors of 985410972
Divisors of 985410972
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 97 98 117 126 147 156 182 194 196 234 252 273 291 294 364 388 441 443 468 546 582 588 637 679 819 873 882 886 1092 1164 1261 1274 1329 1358 1638 1746 1764 1772 1911 2037 2522 2548 2658 2716 3101 3276 3492 3783 3822 3987 4074 4753 5044 5316 5733 5759 6111 6202 7566 7644 7974 8148 8827 9303 9506 11349 11466 11518 12222 12404 14259 15132 15948 17277 17654 18606 19012 21707 22698 22932 23036 24444 26481 27909 28518 34554 35308 37212 40313 42777 42971 43414 45396 51831 52962 55818 57036 61789 65121 69108 79443 80626 85554 85942 86828 103662 105924 111636 120939 123578 128913 130242 158886 161252 171108 171884 185367 195363 207324 241878 247156 257826 260484 282191 300797 317772 362817 370734 386739 390726 483756 515652 556101 558623 564382 601594 725634 741468 773478 781452 846573 902391 1112202 1117246 1128764 1203188 1451268 1546956 1675869 1693146 1804782 2105579 2224404 2234492 2539719 2707173 3351738 3386292 3609564 3910361 4211158 5027607 5079438 5414346 6316737 6703476 7820722 8422316 10055214 10158876 10828692 11731083 12633474 15641444 18950211 20110428 23462166 25266948 27372527 35193249 37900422 46924332 54745054 70386498 75800844 82117581 109490108 140772996 164235162 246352743 328470324 492705486 985410972
- Sum of all divisors σ(n): 3159754416
- Sum of proper divisors (its aliquot sum) s(n): 2174343444
- 985410972 is an abundant number, because the sum of its proper divisors (2174343444) is greater than itself. Its abundance is 1188932472
Bases of 985410972
- Binary: 1110101011110000101101100111002
- Hexadecimal: 0x3ABC2D9C
- Base-36: GAORZ0
Squares and roots of 985410972
- 985410972 squared (9854109722) is 971034783737984784
- 985410972 cubed (9854109723) is 956868330089057379322650048
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The
square root of 985410972 is 31391.2562985301 -
The
cube root of 985410972 is 995.1131482481
Scales and comparisons
How big is 985410972?- 985,410,972 seconds is equal to 31 years, 17 weeks, 2 days, 5 hours, 16 minutes, 12 seconds.
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To count from 1 to 985,410,972 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 985410972 cubic inches would be around 82.9 feet tall.
Recreational maths with 985410972
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