978028128
978,028,128 is an even composite number composed of six prime numbers multiplied together.
978028128 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 978028128:
25 × 33 × 7 × 11 × 61 × 241
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 61 × 241)See below for interesting mathematical facts about the number 978028128 from the Numbermatics database.
Names of 978028128
- Cardinal: 978028128 can be written as Nine hundred seventy-eight million, twenty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 9.78028128 × 108
Factors of 978028128
Divisors of 978028128
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 61 63 66 72 77 84 88 96 99 108 112 122 126 132 144 154 168 176 183 189 198 216 224 231 241 244 252 264 288 297 308 336 352 366 378 396 427 432 462 482 488 504 528 549 594 616 671 672 693 723 732 756 792 854 864 924 964 976 1008 1056 1098 1188 1232 1281 1342 1386 1446 1464 1512 1584 1647 1687 1708 1848 1928 1952 2013 2016 2079 2169 2196 2376 2464 2562 2651 2684 2772 2892 2928 3024 3168 3294 3374 3416 3696 3843 3856 4026 4158 4338 4392 4697 4752 5061 5124 5302 5368 5544 5784 5856 6039 6048 6507 6588 6748 6832 7392 7686 7712 7953 8052 8316 8676 8784 9394 9504 10122 10248 10604 10736 11088 11529 11568 12078 13014 13176 13496 13664 14091 14701 15183 15372 15906 16104 16632 17352 17568 18117 18557 18788 20244 20496 21208 21472 22176 23058 23136 23859 24156 26028 26352 26992 28182 29402 30366 30744 31812 32208 33264 34704 36234 37114 37576 40488 40992 42273 42416 44103 45549 46116 47718 48312 52056 52704 53984 55671 56364 58804 60732 61488 63624 64416 66528 69408 71577 72468 74228 75152 80976 84546 84832 88206 91098 92232 95436 96624 102907 104112 111342 112728 117608 121464 122976 126819 127248 132309 143154 144936 148456 150304 161711 161952 167013 169092 176412 182196 184464 190872 193248 205814 208224 222684 225456 235216 242928 253638 254496 264618 286308 289872 296912 308721 323422 334026 338184 352824 364392 368928 381744 396927 411628 445368 450912 470432 485133 485856 501039 507276 529236 572616 579744 593824 617442 646844 668052 676368 705648 728784 763488 793854 823256 890736 926163 970266 1002078 1014552 1058472 1131977 1145232 1234884 1293688 1336104 1352736 1411296 1455399 1457568 1587708 1646512 1781472 1852326 1940532 2004156 2029104 2116944 2263954 2290464 2469768 2587376 2672208 2778489 2910798 3175416 3293024 3395931 3704652 3881064 4008312 4058208 4233888 4366197 4527908 4939536 5174752 5344416 5556978 5821596 6350832 6791862 7409304 7762128 8016624 8732394 9055816 9879072 10187793 11113956 11643192 12701664 13583724 14818608 15524256 16033248 17464788 18111632 20375586 22227912 23286384 27167448 29637216 30563379 34929576 36223264 40751172 44455824 46572768 54334896 61126758 69859152 81502344 88911648 108669792 122253516 139718304 163004688 244507032 326009376 489014064 978028128
- Sum of all divisors σ(n): 3629767680
- Sum of proper divisors (its aliquot sum) s(n): 2651739552
- 978028128 is an abundant number, because the sum of its proper divisors (2651739552) is greater than itself. Its abundance is 1673711424
Bases of 978028128
- Binary: 1110100100101110000110011000002
- Hexadecimal: 0x3A4B8660
- Base-36: G6AJC0
Squares and roots of 978028128
- 978028128 squared (9780281282) is 956539019159184384
- 978028128 cubed (9780281283) is 935522066267213237090353152
-
The
square root of 978028128 is 31273.4412561201 -
The
cube root of 978028128 is 992.6217378013
Scales and comparisons
How big is 978028128?- 978,028,128 seconds is equal to 31 years, 5 weeks, 18 hours, 28 minutes, 48 seconds.
-
To count from 1 to 978,028,128 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 978028128 cubic inches would be around 82.7 feet tall.
Recreational maths with 978028128
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