128768640
128,768,640 is an even composite number composed of seven prime numbers multiplied together.
128768640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 128768640:
27 × 3 × 5 × 7 × 11 × 13 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 67)See below for interesting mathematical facts about the number 128768640 from the Numbermatics database.
Names of 128768640
- Cardinal: 128768640 can be written as One hundred twenty-eight million, seven hundred sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.2876864 × 108
Factors of 128768640
Divisors of 128768640
- Number of divisors d(n): 512
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 26 28 30 32 33 35 39 40 42 44 48 52 55 56 60 64 65 66 67 70 77 78 80 84 88 91 96 104 105 110 112 120 128 130 132 134 140 143 154 156 160 165 168 176 182 192 195 201 208 210 220 224 231 240 260 264 268 273 280 286 308 312 320 330 335 336 352 364 384 385 390 402 416 420 429 440 448 455 462 469 480 520 528 536 546 560 572 616 624 640 660 670 672 704 715 728 737 770 780 804 832 840 858 871 880 896 910 924 938 960 1001 1005 1040 1056 1072 1092 1120 1144 1155 1232 1248 1320 1340 1344 1365 1407 1408 1430 1456 1474 1540 1560 1608 1664 1680 1716 1742 1760 1820 1848 1876 1920 2002 2010 2080 2112 2144 2145 2184 2211 2240 2288 2310 2345 2464 2496 2613 2640 2680 2688 2730 2814 2860 2912 2948 3003 3080 3120 3216 3360 3432 3484 3520 3640 3685 3696 3752 4004 4020 4160 4224 4288 4290 4355 4368 4422 4480 4576 4620 4690 4928 4992 5005 5159 5226 5280 5360 5460 5628 5720 5824 5896 6006 6097 6160 6240 6432 6720 6864 6968 7035 7040 7280 7370 7392 7504 8008 8040 8320 8576 8580 8710 8736 8844 9152 9240 9380 9581 9856 10010 10318 10452 10560 10720 10920 11055 11256 11440 11648 11792 12012 12194 12320 12480 12864 13065 13440 13728 13936 14070 14560 14740 14784 15008 15015 15477 16016 16080 17160 17420 17472 17688 18291 18304 18480 18760 19162 20020 20636 20904 21120 21440 21840 22110 22512 22880 23584 24024 24388 24640 24960 25728 25795 26130 27456 27872 28140 28743 29120 29480 29568 30016 30030 30485 30954 32032 32160 34320 34840 34944 35376 36582 36960 37520 38324 40040 41272 41808 42880 43680 44220 45024 45760 47168 47905 48048 48776 49280 51590 52260 54912 55744 56280 57486 58240 58960 60032 60060 60970 61908 64064 64320 67067 68640 69680 70752 73164 73920 75040 76648 77385 80080 82544 83616 87360 88440 90048 91455 91520 94336 95810 96096 97552 103180 104520 111488 112560 114972 117920 120120 121940 123816 128128 128640 134134 137280 139360 141504 143715 146328 147840 150080 153296 154770 160160 165088 167232 174720 176880 180096 182910 191620 192192 195104 201201 206360 209040 225120 229944 235840 240240 243880 247632 268268 274560 278720 283008 287430 292656 300160 306592 309540 320320 330176 334464 335335 353760 365820 383240 384384 390208 402402 412720 418080 450240 459888 471680 480480 487760 495264 536536 557440 574860 585312 613184 619080 640640 660352 670670 707520 731640 766480 780416 804804 825440 836160 900480 919776 960960 975520 990528 1006005 1073072 1149720 1170624 1226368 1238160 1341340 1415040 1463280 1532960 1609608 1650880 1672320 1839552 1921920 1951040 1981056 2012010 2146144 2299440 2341248 2476320 2682680 2926560 3065920 3219216 3301760 3679104 3902080 4024020 4292288 4598880 4952640 5365360 5853120 6131840 6438432 8048040 8584576 9197760 9905280 10730720 11706240 12876864 16096080 18395520 21461440 25753728 32192160 42922880 64384320 128768640
- Sum of all divisors σ(n): 559319040
- Sum of proper divisors (its aliquot sum) s(n): 430550400
- 128768640 is an abundant number, because the sum of its proper divisors (430550400) is greater than itself. Its abundance is 301781760
Bases of 128768640
- Binary: 1111010110011011010100000002
- Hexadecimal: 0x7ACDA80
- Base-36: 24NYIO
Squares and roots of 128768640
- 128768640 squared (1287686402) is 16581362647449600
- 128768640 cubed (1287686403) is 2135159517458884460544000
-
The
square root of 128768640 is 11347.6270647215 -
The
cube root of 128768640 is 504.9751842199
Scales and comparisons
How big is 128768640?- 128,768,640 seconds is equal to 4 years, 4 weeks, 6 days, 9 hours, 4 minutes.
-
To count from 1 to 128,768,640 would take you about 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 128768640 cubic inches would be around 42.1 feet tall.
Recreational maths with 128768640
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The information we have on file for 128768640 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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