428167145319264
428,167,145,319,264 is an even composite number composed of six prime numbers multiplied together.
428167145319264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 428167145319264:
25 × 39 × 132 × 23 × 47 × 612
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 23 × 47 × 61 × 61)See below for interesting mathematical facts about the number 428167145319264 from the Numbermatics database.
Names of 428167145319264
- Cardinal: 428167145319264 can be written as Four hundred twenty-eight trillion, one hundred sixty-seven billion, one hundred forty-five million, three hundred nineteen thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 4.28167145319264 × 1014
Factors of 428167145319264
Divisors of 428167145319264
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 39 46 47 48 52 54 61 69 72 78 81 92 94 96 104 108 117 122 138 141 144 156 162 169 183 184 188 207 208 216 234 243 244 276 282 288 299 312 324 338 351 366 368 376 414 416 423 432 468 486 488 507 549 552 564 598 611 621 624 648 676 702 729 732 736 752 793 828 846 864 897 936 972 976 1014 1053 1081 1098 1104 1128 1196 1222 1242 1248 1269 1296 1352 1403 1404 1458 1464 1504 1521 1586 1647 1656 1692 1794 1833 1863 1872 1944 1952 2028 2106 2162 2187 2196 2208 2256 2379 2392 2444 2484 2538 2592 2691 2704 2806 2808 2867 2916 2928 3042 3159 3172 3243 3294 3312 3384 3588 3666 3721 3726 3744 3807 3887 3888 4056 4209 4212 4324 4374 4392 4512 4563 4758 4784 4888 4941 4968 5076 5382 5408 5499 5589 5612 5616 5734 5832 5856 6084 6318 6344 6486 6561 6588 6624 6768 7137 7176 7332 7442 7452 7614 7774 7776 7943 8073 8112 8418 8424 8601 8648 8748 8784 9126 9477 9516 9568 9729 9776 9882 9936 10152 10309 10764 10998 11163 11178 11224 11232 11421 11468 11661 11664 12168 12627 12636 12688 12972 13122 13176 13536 13689 14053 14274 14352 14664 14823 14884 14904 15228 15548 15886 16146 16224 16497 16767 16836 16848 17202 17296 17496 17568 18239 18252 18954 19032 19458 19552 19683 19764 19872 20304 20618 21411 21528 21996 22326 22356 22448 22842 22936 23322 23328 23829 24219 24336 25254 25272 25376 25803 25944 26244 26352 27378 28106 28431 28548 28704 29187 29328 29646 29768 29808 30456 30927 31096 31772 32292 32994 33489 33534 33672 33696 34263 34404 34592 34983 34992 36478 36504 37271 37881 37908 38064 38916 39366 39528 40608 41067 41236 42159 42822 43056 43992 44469 44652 44712 44896 45684 45872 46644 47658 48373 48438 48672 49491 50301 50508 50544 51606 51888 52488 52704 54717 54756 56212 56862 57096 58374 58656 59292 59536 59616 60912 61854 62192 63544 64233 64584 65941 65988 66978 67068 67344 68526 68808 69966 69984 71487 72657 72956 73008 74542 75762 75816 76128 77409 77832 78732 79056 82134 82472 84318 85293 85583 85644 86112 87561 87984 88938 89304 89424 91368 91744 92781 93288 95316 96746 96876 98982 100467 100602 101016 101088 102789 103212 103776 104949 104976 109434 109512 111813 112424 113643 113724 114192 116748 118584 119072 121824 123201 123708 124384 126477 127088 128466 129168 131882 131976 133407 133956 134136 134688 137052 137616 139932 142974 145119 145314 145912 146016 148473 149084 150903 151524 151632 154818 155664 157464 158112 164151 164268 164944 168636 170586 171166 171288 174887 175122 175968 177876 178608 178848 182689 182736 185562 186576 190632 192699 193492 193752 197823 197964 200934 201204 202032 205578 206424 209898 209952 214461 217971 218868 219024 223626 224848 227286 227448 228384 232227 233496 237107 237168 246402 247416 252954 254176 255879 256749 256932 258336 262683 263764 263952 266814 267912 268272 274104 275232 278343 279864 285948 290238 290628 291824 296946 298168 301401 301806 303048 303264 308367 309636 311328 314847 314928 328302 328536 329888 335439 337272 340929 341172 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71361190886544 107041786329816 142722381773088 214083572659632 428167145319264
- Sum of all divisors σ(n): 1483391056283136
- Sum of proper divisors (its aliquot sum) s(n): 1055223910963872
- 428167145319264 is an abundant number, because the sum of its proper divisors (1055223910963872) is greater than itself. Its abundance is 627056765644608
Bases of 428167145319264
- Binary: 11000010101101010011011101001100111101011011000002
- Hexadecimal: 0x1856A6E99EB60
- Base-36: 47RT9RDI00
Squares and roots of 428167145319264
- 428167145319264 squared (4281671453192642) is 183327104330847735864489501696
- 428167145319264 cubed (4281671453192643) is 78494642920985955131896348366689354189471744
-
The
square root of 428167145319264 is 20692200.1082355667 -
The
cube root of 428167145319264 is 75371.0293403713
Scales and comparisons
How big is 428167145319264?- 428,167,145,319,264 seconds is equal to 13,614,390 years, 42 weeks, 2 days, 14 minutes, 24 seconds.
-
To count from 1 to 428,167,145,319,264 would take you about thirty-four million, thirty-five thousand, nine hundred seventy-seven 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 428167145319264 cubic inches would be around 6280.9 feet tall.
Recreational maths with 428167145319264
- 428167145319264 backwards is 462913541761824
- The number of decimal digits it has is: 15
- The sum of 428167145319264's digits is 63
- More coming soon!
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The information we have on file for 428167145319264 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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