164144640
164,144,640 is an even composite number composed of six prime numbers multiplied together.
164144640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 164144640:
29 × 3 × 5 × 11 × 29 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 29 × 67)See below for interesting mathematical facts about the number 164144640 from the Numbermatics database.
Names of 164144640
- Cardinal: 164144640 can be written as One hundred sixty-four million, one hundred forty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.6414464 × 108
Factors of 164144640
Divisors of 164144640
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 32 33 40 44 48 55 58 60 64 66 67 80 87 88 96 110 116 120 128 132 134 145 160 165 174 176 192 201 220 232 240 256 264 268 290 319 320 330 335 348 352 384 402 435 440 464 480 512 528 536 580 638 640 660 670 696 704 737 768 804 870 880 928 957 960 1005 1056 1072 1160 1276 1280 1320 1340 1392 1408 1474 1536 1595 1608 1740 1760 1856 1914 1920 1943 2010 2112 2144 2211 2320 2552 2560 2640 2680 2784 2816 2948 3190 3216 3480 3520 3685 3712 3828 3840 3886 4020 4224 4288 4422 4640 4785 5104 5280 5360 5568 5632 5829 5896 6380 6432 6960 7040 7370 7424 7656 7680 7772 8040 8448 8576 8844 9280 9570 9715 10208 10560 10720 11055 11136 11658 11792 12760 12864 13920 14080 14740 14848 15312 15544 16080 16896 17152 17688 18560 19140 19430 20416 21120 21373 21440 22110 22272 23316 23584 25520 25728 27840 28160 29145 29480 30624 31088 32160 34304 35376 37120 38280 38860 40832 42240 42746 42880 44220 44544 46632 47168 51040 51456 55680 58290 58960 61248 62176 64119 64320 70752 74240 76560 77720 81664 84480 85492 85760 88440 93264 94336 102080 102912 106865 111360 116580 117920 122496 124352 128238 128640 141504 153120 155440 163328 170984 171520 176880 186528 188672 204160 213730 222720 233160 235840 244992 248704 256476 257280 283008 306240 310880 320595 341968 353760 373056 377344 408320 427460 466320 471680 489984 497408 512952 514560 566016 612480 621760 641190 683936 707520 746112 816640 854920 932640 943360 994816 1025904 1132032 1224960 1243520 1282380 1367872 1415040 1492224 1709840 1865280 1886720 2051808 2449920 2487040 2564760 2735744 2830080 2984448 3419680 3730560 4103616 4974080 5129520 5471488 5660160 6839360 7461120 8207232 10259040 10942976 13678720 14922240 16414464 20518080 27357440 32828928 41036160 54714880 82072320 164144640
- Sum of all divisors σ(n): 601032960
- Sum of proper divisors (its aliquot sum) s(n): 436888320
- 164144640 is an abundant number, because the sum of its proper divisors (436888320) is greater than itself. Its abundance is 272743680
Bases of 164144640
- Binary: 10011100100010100110000000002
- Hexadecimal: 0x9C8A600
- Base-36: 2PQ6TC
Squares and roots of 164144640
- 164144640 squared (1641446402) is 26943462840729600
- 164144640 cubed (1641446403) is 4422625008344937529344000
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The
square root of 164144640 is 12811.8944734961 -
The
cube root of 164144640 is 547.5312381835
Scales and comparisons
How big is 164144640?- 164,144,640 seconds is equal to 5 years, 11 weeks, 2 days, 19 hours, 44 minutes.
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To count from 1 to 164,144,640 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 164144640 cubic inches would be around 45.6 feet tall.
Recreational maths with 164144640
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