164137680
164,137,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 164137680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
164137680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 164137680:
24 × 32 × 5 × 7 × 29 × 1123
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 29 × 1123)See below for interesting mathematical facts about the number 164137680 from the Numbermatics database.
Names of 164137680
- Cardinal: 164137680 can be written as One hundred sixty-four million, one hundred thirty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.6413768 × 108
Factors of 164137680
Divisors of 164137680
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 29 30 35 36 40 42 45 48 56 58 60 63 70 72 80 84 87 90 105 112 116 120 126 140 144 145 168 174 180 203 210 232 240 252 261 280 290 315 336 348 360 406 420 435 464 504 522 560 580 609 630 696 720 812 840 870 1008 1015 1044 1123 1160 1218 1260 1305 1392 1624 1680 1740 1827 2030 2088 2246 2320 2436 2520 2610 3045 3248 3369 3480 3654 4060 4176 4492 4872 5040 5220 5615 6090 6738 6960 7308 7861 8120 8984 9135 9744 10107 10440 11230 12180 13476 14616 15722 16240 16845 17968 18270 20214 20880 22460 23583 24360 26952 29232 31444 32567 33690 36540 39305 40428 44920 47166 48720 50535 53904 62888 65134 67380 70749 73080 78610 80856 89840 94332 97701 101070 117915 125776 130268 134760 141498 146160 157220 161712 162835 188664 195402 202140 227969 235830 260536 269520 282996 293103 314440 325670 353745 377328 390804 404280 455938 471660 488505 521072 565992 586206 628880 651340 683907 707490 781608 808560 911876 943320 977010 1131984 1139845 1172412 1302680 1367814 1414980 1465515 1563216 1823752 1886640 1954020 2051721 2279690 2344824 2605360 2735628 2829960 2931030 3419535 3647504 3908040 4103442 4559380 4689648 5471256 5659920 5862060 6839070 7816080 8206884 9118760 10258605 10942512 11724120 13678140 16413768 18237520 20517210 23448240 27356280 32827536 41034420 54712560 82068840 164137680
- Sum of all divisors σ(n): 652279680
- Sum of proper divisors (its aliquot sum) s(n): 488142000
- 164137680 is an abundant number, because the sum of its proper divisors (488142000) is greater than itself. Its abundance is 324004320
Bases of 164137680
- Binary: 10011100100010001010110100002
- Hexadecimal: 0x9C88AD0
- Base-36: 2PQ1G0
Squares and roots of 164137680
- 164137680 squared (1641376802) is 26941177995782400
- 164137680 cubed (1641376803) is 4422062452694772920832000
-
The
square root of 164137680 is 12811.6228480235 -
The
cube root of 164137680 is 547.5234993353
Scales and comparisons
How big is 164137680?- 164,137,680 seconds is equal to 5 years, 11 weeks, 2 days, 17 hours, 48 minutes.
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To count from 1 to 164,137,680 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 164137680 cubic inches would be around 45.6 feet tall.
Recreational maths with 164137680
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