164313072
164,313,072 is an even composite number composed of six prime numbers multiplied together.
164313072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 164313072:
24 × 32 × 72 × 11 × 29 × 73
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 29 × 73)See below for interesting mathematical facts about the number 164313072 from the Numbermatics database.
Names of 164313072
- Cardinal: 164313072 can be written as One hundred sixty-four million, three hundred thirteen thousand and seventy-two.
Scientific notation
- Scientific notation: 1.64313072 × 108
Factors of 164313072
Divisors of 164313072
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 29 33 36 42 44 48 49 56 58 63 66 72 73 77 84 87 88 98 99 112 116 126 132 144 146 147 154 168 174 176 196 198 203 219 231 232 252 261 264 292 294 308 319 336 348 392 396 406 438 441 462 464 504 511 522 528 539 584 588 609 616 638 657 693 696 784 792 803 812 876 882 924 957 1008 1022 1044 1078 1168 1176 1218 1232 1276 1314 1386 1392 1421 1533 1584 1606 1617 1624 1752 1764 1827 1848 1914 2044 2088 2117 2156 2233 2352 2409 2436 2552 2628 2772 2842 2871 3066 3212 3234 3248 3504 3528 3577 3654 3696 3828 4088 4176 4234 4263 4312 4466 4599 4818 4851 4872 5104 5256 5544 5621 5684 5742 6132 6351 6424 6468 6699 7056 7154 7227 7308 7656 8176 8468 8526 8624 8932 9198 9636 9702 9744 10512 10731 11088 11242 11368 11484 12264 12702 12789 12848 12936 13398 14308 14454 14616 14819 15312 15631 16863 16936 17052 17864 18396 19053 19272 19404 20097 21462 22484 22736 22968 23287 24528 25404 25578 25872 26796 28616 28908 29232 29638 31262 32193 33726 33872 34104 35728 36792 38106 38544 38808 39347 40194 42924 44457 44968 45936 46574 46893 50589 50808 51156 53592 57232 57816 59276 62524 64386 67452 68208 69861 73584 76212 77616 78694 80388 85848 88914 89936 93148 93786 101178 101616 102312 103733 107184 115632 118041 118552 125048 128772 133371 134904 139722 140679 152424 157388 160776 163009 171696 177828 186296 187572 202356 204624 207466 209583 236082 237104 250096 257544 266742 269808 279444 281358 304848 311199 314776 321552 326018 354123 355656 372592 375144 404712 414932 419166 472164 489027 515088 533484 558888 562716 622398 629552 652036 708246 711312 750288 809424 829864 838332 933597 944328 978054 1066968 1117776 1125432 1141063 1244796 1304072 1416492 1467081 1659728 1676664 1867194 1888656 1956108 2133936 2250864 2282126 2489592 2608144 2832984 2934162 3353328 3423189 3734388 3912216 4564252 4979184 5665968 5868324 6846378 7468776 7824432 9128504 10269567 11736648 13692756 14937552 18257008 20539134 23473296 27385512 41078268 54771024 82156536 164313072
- Sum of all divisors σ(n): 611947440
- Sum of proper divisors (its aliquot sum) s(n): 447634368
- 164313072 is an abundant number, because the sum of its proper divisors (447634368) is greater than itself. Its abundance is 283321296
Bases of 164313072
- Binary: 10011100101100110111111100002
- Hexadecimal: 0x9CB37F0
- Base-36: 2PTSS0
Squares and roots of 164313072
- 164313072 squared (1643130722) is 26998785630077184
- 164313072 cubed (1643130723) is 4436253407147437700149248
-
The
square root of 164313072 is 12818.4660548757 -
The
cube root of 164313072 is 547.7184516393
Scales and comparisons
How big is 164313072?- 164,313,072 seconds is equal to 5 years, 11 weeks, 4 days, 18 hours, 31 minutes, 12 seconds.
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To count from 1 to 164,313,072 would take you about 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 164313072 cubic inches would be around 45.6 feet tall.
Recreational maths with 164313072
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