128948820
128,948,820 is an even composite number composed of eight prime numbers multiplied together.
128948820 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 128948820:
22 × 3 × 5 × 7 × 11 × 13 × 19 × 113
(2 × 2 × 3 × 5 × 7 × 11 × 13 × 19 × 113)See below for interesting mathematical facts about the number 128948820 from the Numbermatics database.
Names of 128948820
- Cardinal: 128948820 can be written as One hundred twenty-eight million, nine hundred forty-eight thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 1.2894882 × 108
Factors of 128948820
Divisors of 128948820
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 10 11 12 13 14 15 19 20 21 22 26 28 30 33 35 38 39 42 44 52 55 57 60 65 66 70 76 77 78 84 91 95 105 110 113 114 130 132 133 140 143 154 156 165 182 190 195 209 210 220 226 228 231 247 260 266 273 285 286 308 330 339 364 380 385 390 399 418 420 429 452 455 462 494 532 546 565 570 572 627 660 665 678 715 741 770 780 791 798 836 858 910 924 988 1001 1045 1092 1130 1140 1155 1235 1243 1254 1330 1356 1365 1430 1463 1469 1482 1540 1582 1596 1695 1716 1729 1820 1995 2002 2090 2145 2147 2260 2310 2373 2470 2486 2508 2660 2717 2730 2860 2926 2938 2964 3003 3135 3164 3390 3458 3705 3729 3955 3990 4004 4180 4290 4294 4389 4407 4620 4746 4940 4972 5005 5187 5434 5460 5852 5876 6006 6215 6270 6441 6780 6916 7315 7345 7410 7458 7910 7980 8151 8580 8588 8645 8701 8778 8814 9492 10010 10283 10374 10735 10868 11865 12012 12430 12540 12882 13585 14630 14690 14820 14916 15015 15029 15820 16159 16302 17290 17402 17556 17628 18645 19019 20020 20566 20748 21470 21945 22035 23617 23730 24860 25764 25935 26103 27170 27911 29260 29380 30030 30058 30849 32205 32318 32604 34580 34804 37290 38038 40755 41132 42940 43505 43890 44070 45087 47234 47460 48477 51415 51870 52206 54340 55822 57057 60060 60116 61698 64410 64636 70851 74580 75145 76076 80795 81510 83733 87010 87780 88140 90174 94468 95095 96954 102830 103740 104412 111644 113113 114114 118085 123396 128820 130515 139555 141702 150290 154245 161590 163020 165319 167466 174020 180348 190190 193908 195377 205660 225435 226226 228228 236170 242385 261030 279110 283404 285285 300580 307021 308490 323180 330638 334932 339339 354255 380380 390754 418665 450870 452452 472340 484770 495957 522060 558220 565565 570570 586131 614042 616980 661276 678678 708510 781508 826595 837330 901740 921063 969540 976885 991914 1131130 1141140 1172262 1228084 1357356 1417020 1535105 1653190 1674660 1696695 1842126 1953770 1983828 2149147 2262260 2344524 2479785 2930655 3070210 3306380 3393390 3684252 3907540 4298294 4605315 4959570 5861310 6140420 6447441 6786780 8596588 9210630 9919140 10745735 11722620 12894882 18421260 21491470 25789764 32237205 42982940 64474410 128948820
- Sum of all divisors σ(n): 514805760
- Sum of proper divisors (its aliquot sum) s(n): 385856940
- 128948820 is an abundant number, because the sum of its proper divisors (385856940) is greater than itself. Its abundance is 256908120
Bases of 128948820
- Binary: 1111010111110011010010101002
- Hexadecimal: 0x7AF9A54
- Base-36: 24RTJO
Squares and roots of 128948820
- 128948820 squared (1289488202) is 16627798179392400
- 128948820 cubed (1289488203) is 2144134954430798296968000
-
The
square root of 128948820 is 11355.5633942135 -
The
cube root of 128948820 is 505.2106039203
Scales and comparisons
How big is 128948820?- 128,948,820 seconds is equal to 4 years, 5 weeks, 1 day, 11 hours, 7 minutes.
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To count from 1 to 128,948,820 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 128948820 cubic inches would be around 42.1 feet tall.
Recreational maths with 128948820
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