989928456
989,928,456 is an even composite number composed of seven prime numbers multiplied together.
989928456 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 989928456:
23 × 3 × 11 × 29 × 31 × 43 × 97
(2 × 2 × 2 × 3 × 11 × 29 × 31 × 43 × 97)See below for interesting mathematical facts about the number 989928456 from the Numbermatics database.
Names of 989928456
- Cardinal: 989928456 can be written as Nine hundred eighty-nine million, nine hundred twenty-eight thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 9.89928456 × 108
Factors of 989928456
Divisors of 989928456
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 11 12 22 24 29 31 33 43 44 58 62 66 86 87 88 93 97 116 124 129 132 172 174 186 194 232 248 258 264 291 319 341 344 348 372 388 473 516 582 638 682 696 744 776 899 946 957 1023 1032 1067 1164 1247 1276 1333 1364 1419 1798 1892 1914 2046 2134 2328 2494 2552 2666 2697 2728 2813 2838 3007 3201 3596 3741 3784 3828 3999 4092 4171 4268 4988 5332 5394 5626 5676 6014 6402 7192 7482 7656 7998 8184 8342 8439 8536 9021 9889 9976 10664 10788 11252 11352 12028 12513 12804 13717 14663 14964 15996 16684 16878 18042 19778 21576 22504 24056 25026 25608 27434 29326 29667 29928 30943 31992 33077 33368 33756 36084 38657 39556 41151 43989 45881 50052 54868 58652 59334 61886 66154 67512 72168 77314 79112 82302 87203 87978 91762 92829 99231 100104 109736 115971 117304 118668 120959 123772 129301 132308 137643 154628 164604 174406 175956 183524 185658 198462 231942 237336 241918 247544 258602 261609 264616 275286 309256 329208 348812 351912 362877 367048 371316 387903 396924 425227 463884 483836 517204 523218 550572 697624 725754 742632 775806 793848 850454 927768 959233 967672 1034408 1046436 1101144 1275681 1330549 1422311 1451508 1551612 1700908 1918466 2092872 2551362 2661098 2844622 2877699 2903016 3103224 3401816 3749729 3836932 3991647 4266933 5102724 5322196 5689244 5755398 7499458 7673864 7983294 8533866 10205448 10644392 11249187 11378488 11510796 14998916 15966588 17067732 22498374 23021592 29997832 31933176 34135464 41247019 44996748 82494038 89993496 123741057 164988076 247482114 329976152 494964228 989928456
- Sum of all divisors σ(n): 2980454400
- Sum of proper divisors (its aliquot sum) s(n): 1990525944
- 989928456 is an abundant number, because the sum of its proper divisors (1990525944) is greater than itself. Its abundance is 1000597488
Bases of 989928456
- Binary: 1110110000000100011100000010002
- Hexadecimal: 0x3B011C08
- Base-36: GDDLOO
Squares and roots of 989928456
- 989928456 squared (9899284562) is 979958347998543936
- 989928456 cubed (9899284563) is 970088654378509288812642816
-
The
square root of 989928456 is 31463.1285157721 -
The
cube root of 989928456 is 996.6314845107
Scales and comparisons
How big is 989928456?- 989,928,456 seconds is equal to 31 years, 24 weeks, 5 days, 12 hours, 7 minutes, 36 seconds.
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To count from 1 to 989,928,456 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 989928456 cubic inches would be around 83.1 feet tall.
Recreational maths with 989928456
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