980123664
980,123,664 is an even composite number composed of five prime numbers multiplied together.
980123664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 980123664:
24 × 3 × 13 × 193 × 229
(2 × 2 × 2 × 2 × 3 × 13 × 19 × 19 × 19 × 229)See below for interesting mathematical facts about the number 980123664 from the Numbermatics database.
Names of 980123664
- Cardinal: 980123664 can be written as Nine hundred eighty million, one hundred twenty-three thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 9.80123664 × 108
Factors of 980123664
Divisors of 980123664
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 229 247 304 312 361 456 458 494 624 687 722 741 912 916 988 1083 1374 1444 1482 1832 1976 2166 2748 2888 2964 2977 3664 3952 4332 4351 4693 5496 5776 5928 5954 6859 8664 8702 8931 9386 10992 11856 11908 13053 13718 14079 17328 17404 17862 18772 20577 23816 26106 27436 28158 34808 35724 37544 41154 47632 52212 54872 56316 56563 69616 71448 75088 82308 82669 89167 104424 109744 112632 113126 142896 164616 165338 169689 178334 208848 225264 226252 248007 267501 329232 330676 339378 356668 452504 496014 535002 661352 678756 713336 905008 992028 1070004 1074697 1322704 1357512 1426672 1570711 1984056 2140008 2149394 2715024 3141422 3224091 3968112 4280016 4298788 4712133 6282844 6448182 8597576 9424266 12565688 12896364 17195152 18848532 20419243 25131376 25792728 37697064 40838486 51585456 61257729 75394128 81676972 122515458 163353944 245030916 326707888 490061832 980123664
- Sum of all divisors σ(n): 2890787200
- Sum of proper divisors (its aliquot sum) s(n): 1910663536
- 980123664 is an abundant number, because the sum of its proper divisors (1910663536) is greater than itself. Its abundance is 930539872
Bases of 980123664
- Binary: 1110100110101110000000000100002
- Hexadecimal: 0x3A6B8010
- Base-36: G7JG9C
Squares and roots of 980123664
- 980123664 squared (9801236642) is 960642396732784896
- 980123664 cubed (9801236643) is 941548345679478761191378944
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The
square root of 980123664 is 31306.9267734793 -
The
cube root of 980123664 is 993.3301668993
Scales and comparisons
How big is 980123664?- 980,123,664 seconds is equal to 31 years, 8 weeks, 4 days, 34 minutes, 24 seconds.
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To count from 1 to 980,123,664 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 980123664 cubic inches would be around 82.8 feet tall.
Recreational maths with 980123664
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