428314641664
428,314,641,664 is an even composite number composed of six prime numbers multiplied together.
428314641664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 428314641664:
28 × 72 × 13 × 31 × 193 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 31 × 193 × 439)See below for interesting mathematical facts about the number 428314641664 from the Numbermatics database.
Names of 428314641664
- Cardinal: 428314641664 can be written as Four hundred twenty-eight billion, three hundred fourteen million, six hundred forty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.28314641664 × 1011
Factors of 428314641664
Divisors of 428314641664
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 64 91 98 104 112 124 128 182 193 196 208 217 224 248 256 364 386 392 403 416 434 439 448 496 637 728 772 784 806 832 868 878 896 992 1274 1351 1456 1519 1544 1568 1612 1664 1736 1756 1792 1984 2509 2548 2702 2821 2912 3038 3073 3088 3136 3224 3328 3472 3512 3968 5018 5096 5404 5642 5707 5824 5983 6076 6146 6176 6272 6448 6944 7024 7936 9457 10036 10192 10808 11284 11414 11648 11966 12152 12292 12352 12544 12896 13609 13888 14048 17563 18914 19747 20072 20384 21511 21616 22568 22828 23296 23932 24304 24584 24704 25792 27218 27776 28096 35126 37828 39494 39949 40144 40768 41881 43022 43232 45136 45656 47864 48608 49168 49408 51584 54436 55552 56192 70252 75656 77779 78988 79898 80288 81536 83762 84727 86044 86464 90272 91312 95263 95728 97216 98336 103168 108872 112384 122941 140504 151312 155558 157976 159796 160576 163072 167524 169454 172088 172928 176917 180544 182624 190526 191456 194432 196672 217744 245882 279643 281008 293167 302624 311116 315952 319592 321152 335048 338908 344176 345856 353834 361088 365248 381052 382912 388864 393344 435488 491764 544453 559286 562016 586334 593089 605248 622232 631904 639184 642304 666841 670096 677816 688352 707668 722176 730496 762104 765824 786688 870976 983528 1088906 1101451 1118572 1124032 1172668 1186178 1210496 1238419 1244464 1263808 1278368 1333682 1340192 1355632 1376704 1415336 1460992 1524208 1531648 1741952 1967056 2177812 2202902 2237144 2248064 2345336 2372356 2420992 2476838 2488928 2527616 2556736 2626537 2667364 2680384 2711264 2753408 2830672 3048416 3483904 3811171 3934112 4151623 4355624 4405804 4474288 4496128 4690672 4744712 4953676 4977856 5055232 5113472 5253074 5334728 5360768 5422528 5506816 5661344 6096832 7622342 7710157 7868224 8303246 8668933 8711248 8811608 8948576 9381344 9489424 9907352 9955712 10226944 10506148 10669456 10721536 10845056 11322688 12193664 15244684 15420314 15736448 16606492 17337866 17422496 17623216 17897152 18385759 18762688 18978848 19814704 19911424 21012296 21338912 21690112 22645376 24387328 30489368 30840628 31472896 33212984 34144981 34675732 34844992 35246432 35794304 36771518 37525376 37957696 39629408 42024592 42677824 45290752 53971099 60978736 61681256 66425968 68289962 69351464 69689984 70492864 71588608 73543036 75050752 75915392 79258816 84049184 85355648 107942198 121957472 123362512 128700313 132851936 136579924 138702928 139379968 140985728 147086072 151830784 158517632 168098368 170711296 215884396 239014867 243914944 246725024 257400626 265703872 273159848 277405856 281971456 294172144 317035264 336196736 431768792 478029734 487829888 493450048 514801252 531407744 546319696 554811712 588344288 672393472 863537584 956059468 975659776 986900096 1029602504 1062815488 1092639392 1109623424 1176688576 1673104069 1727075168 1912118936 1973800192 2059205008 2185278784 2219246848 2353377152 3346208138 3454150336 3824237872 4118410016 4370557568 4706754304 6692416276 6908300672 7648475744 8236820032 8741115136 13384832552 13816601344 15296951488 16473640064 26769665104 30593902976 32947280128 53539330208 61187805952 107078660416 214157320832 428314641664
- Sum of all divisors σ(n): 1113853762560
- Sum of proper divisors (its aliquot sum) s(n): 685539120896
- 428314641664 is an abundant number, because the sum of its proper divisors (685539120896) is greater than itself. Its abundance is 257224479232
Bases of 428314641664
- Binary: 1100011101110011000101011000101000000002
- Hexadecimal: 0x63B98AC500
- Base-36: 5GRJH8N4
Squares and roots of 428314641664
- 428314641664 squared (4283146416642) is 183453432263760724688896
- 428314641664 cubed (4283146416643) is 78575791102083571128161448119762944
-
The
square root of 428314641664 is 654457.5170811319 -
The
cube root of 428314641664 is 7537.9683028665
Scales and comparisons
How big is 428314641664?- 428,314,641,664 seconds is equal to 13,619 years, 4 weeks, 1 day, 9 hours, 21 minutes, 4 seconds.
-
To count from 1 to 428,314,641,664 would take you about twenty-seven thousand, two hundred thirty-eight 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 428314641664 cubic inches would be around 628.2 feet tall.
Recreational maths with 428314641664
- 428314641664 backwards is 466146413824
- 428314641664 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428314641664's digits is 49
- More coming soon!
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