664407072
664,407,072 is an even composite number composed of five prime numbers multiplied together.
664407072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 664407072:
25 × 32 × 72 × 232 × 89
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 23 × 23 × 89)See below for interesting mathematical facts about the number 664407072 from the Numbermatics database.
Names of 664407072
- Cardinal: 664407072 can be written as Six hundred sixty-four million, four hundred seven thousand and seventy-two.
Scientific notation
- Scientific notation: 6.64407072 × 108
Factors of 664407072
Divisors of 664407072
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 49 56 63 69 72 84 89 92 96 98 112 126 138 144 147 161 168 178 184 196 207 224 252 267 276 288 294 322 336 356 368 392 414 441 483 504 529 534 552 588 623 644 672 712 736 784 801 828 882 966 1008 1058 1068 1104 1127 1176 1246 1288 1424 1449 1568 1587 1602 1656 1764 1869 1932 2016 2047 2116 2136 2208 2254 2352 2492 2576 2848 2898 3174 3204 3312 3381 3528 3703 3738 3864 4094 4232 4272 4361 4508 4704 4761 4984 5152 5607 5796 6141 6348 6408 6624 6762 7056 7406 7476 7728 8188 8464 8544 8722 9016 9522 9968 10143 11109 11214 11592 12282 12696 12816 13083 13524 14112 14329 14812 14952 15456 16376 16928 17444 18032 18423 19044 19936 20286 22218 22428 23184 24564 25392 25632 25921 26166 27048 28658 29624 29904 32752 33327 34888 36064 36846 38088 39249 40572 42987 44436 44856 46368 47081 49128 50784 51842 52332 54096 57316 59248 59808 65504 66654 69776 73692 76176 77763 78498 81144 85974 88872 89712 94162 98256 100303 103684 104664 108192 114632 118496 128961 133308 139552 141243 147384 152352 155526 156996 162288 171948 177744 179424 188324 196512 200606 207368 209328 229264 233289 257922 266616 282486 294768 300909 311052 313992 324576 329567 343896 355488 376648 401212 414736 418656 423729 458528 466578 515844 533232 564972 589536 601818 622104 627984 659134 687792 753296 802424 829472 847458 902727 933156 988701 1031688 1066464 1129944 1203636 1244208 1255968 1318268 1375584 1506592 1604848 1694916 1805454 1866312 1977402 2063376 2259888 2306969 2407272 2488416 2636536 2966103 3209696 3389832 3610908 3732624 3954804 4126752 4519776 4613938 4814544 5273072 5932206 6779664 6920907 7221816 7465248 7909608 9227876 9629088 10546144 11864412 13559328 13841814 14443632 15819216 18455752 20762721 23728824 27683628 28887264 31638432 36911504 41525442 47457648 55367256 73823008 83050884 94915296 110734512 166101768 221469024 332203536 664407072
- Sum of all divisors σ(n): 2323412910
- Sum of proper divisors (its aliquot sum) s(n): 1659005838
- 664407072 is an abundant number, because the sum of its proper divisors (1659005838) is greater than itself. Its abundance is 994598766
Bases of 664407072
- Binary: 1001111001101000001100001000002
- Hexadecimal: 0x279A0C20
- Base-36: AZKJS0
Squares and roots of 664407072
- 664407072 squared (6644070722) is 441436757323613184
- 664407072 cubed (6644070723) is 293293703406556392042037248
-
The
square root of 664407072 is 25776.0949718921 -
The
cube root of 664407072 is 872.5923786775
Scales and comparisons
How big is 664407072?- 664,407,072 seconds is equal to 21 years, 6 weeks, 3 days, 21 hours, 31 minutes, 12 seconds.
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To count from 1 to 664,407,072 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 664407072 cubic inches would be around 72.7 feet tall.
Recreational maths with 664407072
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