668229120
668,229,120 is an even composite number composed of six prime numbers multiplied together.
668229120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 668229120:
29 × 32 × 5 × 13 × 23 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 23 × 97)See below for interesting mathematical facts about the number 668229120 from the Numbermatics database.
Names of 668229120
- Cardinal: 668229120 can be written as Six hundred sixty-eight million, two hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.6822912 × 108
Factors of 668229120
Divisors of 668229120
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 30 32 36 39 40 45 46 48 52 60 64 65 69 72 78 80 90 92 96 97 104 115 117 120 128 130 138 144 156 160 180 184 192 194 195 207 208 230 234 240 256 260 276 288 291 299 312 320 345 360 368 384 388 390 414 416 460 468 480 485 512 520 552 576 582 585 598 624 640 690 720 736 768 776 780 828 832 873 897 920 936 960 970 1035 1040 1104 1152 1164 1170 1196 1248 1261 1280 1380 1440 1455 1472 1495 1536 1552 1560 1656 1664 1746 1794 1840 1872 1920 1940 2070 2080 2208 2231 2304 2328 2340 2392 2496 2522 2560 2691 2760 2880 2910 2944 2990 3104 3120 3312 3328 3492 3588 3680 3744 3783 3840 3880 4140 4160 4365 4416 4462 4485 4608 4656 4680 4784 4992 5044 5382 5520 5760 5820 5888 5980 6208 6240 6305 6624 6656 6693 6984 7176 7360 7488 7566 7680 7760 8280 8320 8730 8832 8924 8970 9312 9360 9568 9984 10088 10764 11040 11155 11349 11520 11640 11776 11960 12416 12480 12610 13248 13386 13455 13968 14352 14720 14976 15132 15520 16560 16640 17460 17664 17848 17940 18624 18720 18915 19136 19968 20079 20176 21528 22080 22310 22698 23040 23280 23920 24832 24960 25220 26496 26772 26910 27936 28704 29003 29440 29952 30264 31040 33120 33280 33465 34920 35328 35696 35880 37248 37440 37830 38272 40158 40352 43056 44160 44620 45396 46560 47840 49664 49920 50440 52992 53544 53820 55872 56745 57408 58006 58880 59904 60528 62080 66240 66930 69840 71392 71760 74496 74880 75660 76544 80316 80704 86112 87009 88320 89240 90792 93120 95680 99840 100395 100880 105984 107088 107640 111744 113490 114816 116012 121056 124160 132480 133860 139680 142784 143520 145015 148992 149760 151320 153088 160632 161408 172224 174018 176640 178480 181584 186240 191360 200790 201760 214176 215280 223488 226980 229632 232024 242112 248320 261027 264960 267720 279360 285568 287040 290030 299520 302640 321264 322816 344448 348036 356960 363168 372480 382720 401580 403520 428352 430560 435045 446976 453960 459264 464048 484224 522054 529920 535440 558720 571136 574080 580060 605280 642528 645632 688896 696072 713920 726336 744960 765440 803160 807040 856704 861120 870090 907920 928096 968448 1044108 1070880 1117440 1142272 1148160 1160120 1210560 1285056 1305135 1377792 1392144 1427840 1452672 1606320 1614080 1713408 1722240 1740180 1815840 1856192 1936896 2088216 2141760 2234880 2296320 2320240 2421120 2570112 2610270 2784288 2855680 2905344 3212640 3228160 3426816 3444480 3480360 3631680 3712384 4176432 4283520 4640480 4842240 5140224 5220540 5568576 5711360 5810688 6425280 6888960 6960720 7263360 7424768 8352864 8567040 9280960 9684480 10280448 10441080 11137152 12850560 13921440 14526720 14849536 16705728 17134080 18561920 20882160 22274304 25701120 27842880 29053440 33411456 37123840 41764320 44548608 51402240 55685760 66822912 74247680 83528640 111371520 133645824 167057280 222743040 334114560 668229120
- Sum of all divisors σ(n): 2627456832
- Sum of proper divisors (its aliquot sum) s(n): 1959227712
- 668229120 is an abundant number, because the sum of its proper divisors (1959227712) is greater than itself. Its abundance is 1290998592
Bases of 668229120
- Binary: 1001111101010001011110000000002
- Hexadecimal: 0x27D45E00
- Base-36: B1UGW0
Squares and roots of 668229120
- 668229120 squared (6682291202) is 446530156815974400
- 668229120 cubed (6682291203) is 298384453742600575254528000
-
The
square root of 668229120 is 25850.1280461047 -
The
cube root of 668229120 is 874.2623966245
Scales and comparisons
How big is 668229120?- 668,229,120 seconds is equal to 21 years, 12 weeks, 6 days, 3 hours, 12 minutes.
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To count from 1 to 668,229,120 would take you about thirty-one 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 668229120 cubic inches would be around 72.9 feet tall.
Recreational maths with 668229120
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