420264768
420,264,768 is an even composite number composed of six prime numbers multiplied together.
420264768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 420264768:
26 × 3 × 72 × 11 × 31 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 31 × 131)See below for interesting mathematical facts about the number 420264768 from the Numbermatics database.
Names of 420264768
- Cardinal: 420264768 can be written as Four hundred twenty million, two hundred sixty-four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.20264768 × 108
Factors of 420264768
Divisors of 420264768
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 32 33 42 44 48 49 56 62 64 66 77 84 88 93 96 98 112 124 131 132 147 154 168 176 186 192 196 217 224 231 248 262 264 294 308 336 341 352 372 392 393 434 448 462 496 524 528 539 588 616 651 672 682 704 744 784 786 868 917 924 992 1023 1048 1056 1078 1176 1232 1302 1344 1364 1441 1488 1519 1568 1572 1617 1736 1834 1848 1984 2046 2096 2112 2156 2352 2387 2464 2604 2728 2751 2882 2976 3038 3136 3144 3234 3472 3668 3696 4061 4092 4192 4312 4323 4557 4704 4774 4928 5208 5456 5502 5764 5952 6076 6288 6419 6468 6944 7161 7336 7392 8122 8184 8384 8624 8646 9114 9408 9548 10087 10416 10912 11004 11528 12152 12183 12576 12838 12936 13888 14322 14672 14784 16244 16368 16709 17248 17292 18228 19096 19257 20174 20832 21824 22008 23056 24304 24366 25152 25676 25872 28427 28644 29344 30261 32488 32736 33418 34496 34584 36456 38192 38514 40348 41664 44016 44671 46112 48608 48732 50127 51352 51744 56854 57288 58688 60522 64976 65472 66836 69168 70609 72912 76384 77028 80696 85281 88032 89342 92224 97216 97464 100254 102704 103488 113708 114576 121044 129952 133672 134013 138336 141218 145824 152768 154056 161392 170562 176064 178684 194928 198989 200508 205408 211827 227416 229152 242088 259904 267344 268026 276672 282436 291648 308112 312697 322784 341124 357368 389856 397978 401016 410816 423654 454832 458304 484176 534688 536052 564872 596967 616224 625394 645568 682248 714736 779712 795956 802032 847308 909664 938091 968352 1069376 1072104 1129744 1193934 1232448 1250788 1364496 1429472 1591912 1604064 1694616 1819328 1876182 1936704 2144208 2188879 2259488 2387868 2501576 2728992 2858944 3183824 3208128 3389232 3752364 4288416 4377758 4518976 4775736 5003152 5457984 6367648 6566637 6778464 7504728 8576832 8755516 9551472 10006304 12735296 13133274 13556928 15009456 17511032 19102944 20012608 26266548 30018912 35022064 38205888 52533096 60037824 70044128 105066192 140088256 210132384 420264768
- Sum of all divisors σ(n): 1467721728
- Sum of proper divisors (its aliquot sum) s(n): 1047456960
- 420264768 is an abundant number, because the sum of its proper divisors (1047456960) is greater than itself. Its abundance is 627192192
Bases of 420264768
- Binary: 110010000110010111011010000002
- Hexadecimal: 0x190CBB40
- Base-36: 6Y7QDC
Squares and roots of 420264768
- 420264768 squared (4202647682) is 176622475222093824
- 420264768 cubed (4202647683) is 74228203572799009417592832
-
The
square root of 420264768 is 20500.3601919577 -
The
cube root of 420264768 is 749.0445718373
Scales and comparisons
How big is 420264768?- 420,264,768 seconds is equal to 13 years, 18 weeks, 6 days, 4 hours, 12 minutes, 48 seconds.
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To count from 1 to 420,264,768 would take you about twenty 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 420264768 cubic inches would be around 62.4 feet tall.
Recreational maths with 420264768
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