768896128
768,896,128 is an even composite number composed of six prime numbers multiplied together.
768896128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 768896128:
27 × 7 × 11 × 13 × 17 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 17 × 353)See below for interesting mathematical facts about the number 768896128 from the Numbermatics database.
Names of 768896128
- Cardinal: 768896128 can be written as Seven hundred sixty-eight million, eight hundred ninety-six thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 7.68896128 × 108
Factors of 768896128
Divisors of 768896128
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 22 26 28 32 34 44 52 56 64 68 77 88 91 104 112 119 128 136 143 154 176 182 187 208 221 224 238 272 286 308 352 353 364 374 416 442 448 476 544 572 616 704 706 728 748 832 884 896 952 1001 1088 1144 1232 1309 1408 1412 1456 1496 1547 1664 1768 1904 2002 2176 2288 2431 2464 2471 2618 2824 2912 2992 3094 3536 3808 3883 4004 4576 4589 4862 4928 4942 5236 5648 5824 5984 6001 6188 7072 7616 7766 8008 9152 9178 9724 9856 9884 10472 11296 11648 11968 12002 12376 14144 15232 15532 16016 17017 18304 18356 19448 19768 20944 22592 23936 24004 24752 27181 28288 31064 32032 32123 34034 36712 38896 39536 41888 42007 45184 48008 49504 50479 54362 62128 64064 64246 66011 68068 73424 77792 78013 79072 83776 84014 96016 99008 100958 108724 124256 128128 128492 132022 136136 146848 155584 156026 158144 167552 168028 192032 198016 201916 217448 248512 256984 264044 272272 293696 311168 312052 316288 336056 353353 384064 403832 434896 462077 497024 513968 528088 544544 546091 587392 624104 672112 706706 768128 807664 858143 869792 924154 1027936 1056176 1089088 1092182 1248208 1344224 1413412 1615328 1716286 1739584 1848308 2055872 2112352 2178176 2184364 2496416 2688448 2826824 3230656 3432572 3479168 3696616 4111744 4224704 4368728 4992832 5376896 5653648 6007001 6461312 6865144 7393232 8449408 8737456 9985664 11307296 12014002 13730288 14786464 17474912 22614592 24028004 27460576 29572928 34949824 45229184 48056008 54921152 59145856 69899648 96112016 109842304 192224032 384448064 768896128
- Sum of all divisors σ(n): 2183811840
- Sum of proper divisors (its aliquot sum) s(n): 1414915712
- 768896128 is an abundant number, because the sum of its proper divisors (1414915712) is greater than itself. Its abundance is 646019584
Bases of 768896128
- Binary: 1011011101010001101100100000002
- Hexadecimal: 0x2DD46C80
- Base-36: CPS41S
Squares and roots of 768896128
- 768896128 squared (7688961282) is 591201255653392384
- 768896128 cubed (7688961283) is 454572356340631514122289152
-
The
square root of 768896128 is 27728.9763244155 -
The
cube root of 768896128 is 916.1274397925
Scales and comparisons
How big is 768896128?- 768,896,128 seconds is equal to 24 years, 23 weeks, 2 days, 6 hours, 15 minutes, 28 seconds.
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To count from 1 to 768,896,128 would take you about thirty-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 768896128 cubic inches would be around 76.3 feet tall.
Recreational maths with 768896128
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