989729664
989,729,664 is an even composite number composed of six prime numbers multiplied together.
989729664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 989729664:
27 × 3 × 7 × 112 × 17 × 179
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 17 × 179)See below for interesting mathematical facts about the number 989729664 from the Numbermatics database.
Names of 989729664
- Cardinal: 989729664 can be written as Nine hundred eighty-nine million, seven hundred twenty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 9.89729664 × 108
Factors of 989729664
Divisors of 989729664
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 32 33 34 42 44 48 51 56 64 66 68 77 84 88 96 102 112 119 121 128 132 136 154 168 176 179 187 192 204 224 231 238 242 264 272 308 336 352 357 358 363 374 384 408 448 462 476 484 528 537 544 561 616 672 704 714 716 726 748 816 847 896 924 952 968 1056 1074 1088 1122 1232 1253 1309 1344 1408 1428 1432 1452 1496 1632 1694 1848 1904 1936 1969 2057 2112 2148 2176 2244 2464 2506 2541 2618 2688 2856 2864 2904 2992 3043 3264 3388 3696 3759 3808 3872 3927 3938 4114 4224 4296 4488 4928 5012 5082 5236 5712 5728 5808 5907 5984 6086 6171 6528 6776 7392 7518 7616 7744 7854 7876 8228 8592 8976 9129 9856 10024 10164 10472 11424 11456 11616 11814 11968 12172 12342 13552 13783 14399 14784 15036 15232 15488 15708 15752 16456 17184 17952 18258 20048 20328 20944 21301 21659 22848 22912 23232 23628 23936 24344 24684 27104 27566 28798 29568 30072 31416 31504 32912 33473 34368 35904 36516 40096 40656 41349 41888 42602 43197 43318 45696 46464 47256 48688 49368 54208 55132 57596 60144 62832 63008 63903 64977 65824 66946 68736 71808 73032 80192 81312 82698 83776 85204 86394 86636 94512 97376 98736 100419 108416 110264 115192 120288 125664 126016 127806 129954 131648 133892 146064 151613 160384 162624 165396 167552 170408 172788 173272 189024 194752 197472 200838 220528 230384 234311 240576 251328 252032 255612 259908 263296 267784 292128 303226 325248 330792 340816 345576 346544 368203 378048 389504 394944 401676 441056 454839 460768 468622 481152 502656 511224 519816 535568 584256 606452 661584 681632 691152 693088 702933 736406 756096 789888 803352 882112 909678 921536 937244 1022448 1039632 1071136 1104609 1168512 1212904 1323168 1363264 1382304 1386176 1405866 1472812 1606704 1764224 1819356 1843072 1874488 2044896 2079264 2142272 2209218 2425808 2577421 2646336 2726528 2764608 2772352 2811732 2945624 3213408 3638712 3748976 4089792 4158528 4284544 4418436 4851616 5154842 5292672 5529216 5623464 5891248 6426816 7277424 7497952 7732263 8179584 8317056 8836872 9703232 10309684 11246928 11782496 12853632 14554848 14995904 15464526 17673744 19406464 20619368 22493856 23564992 29109696 29991808 30929052 35347488 41238736 44987712 47129984 58219392 61858104 70694976 82477472 89975424 123716208 141389952 164954944 247432416 329909888 494864832 989729664
- Sum of all divisors σ(n): 3516307200
- Sum of proper divisors (its aliquot sum) s(n): 2526577536
- 989729664 is an abundant number, because the sum of its proper divisors (2526577536) is greater than itself. Its abundance is 1536847872
Bases of 989729664
- Binary: 1110101111111000010011100000002
- Hexadecimal: 0x3AFE1380
- Base-36: GD9CAO
Squares and roots of 989729664
- 989729664 squared (9897296642) is 979564807801552896
- 989729664 cubed (9897296643) is 969504348091655526436306944
-
The
square root of 989729664 is 31459.9692307543 -
The
cube root of 989729664 is 996.5647673563
Scales and comparisons
How big is 989729664?- 989,729,664 seconds is equal to 31 years, 24 weeks, 3 days, 4 hours, 54 minutes, 24 seconds.
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To count from 1 to 989,729,664 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 989729664 cubic inches would be around 83 feet tall.
Recreational maths with 989729664
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