164009664
164,009,664 is an even composite number composed of five prime numbers multiplied together.
164009664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 164009664:
26 × 33 × 72 × 13 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 149)See below for interesting mathematical facts about the number 164009664 from the Numbermatics database.
Names of 164009664
- Cardinal: 164009664 can be written as One hundred sixty-four million, nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.64009664 × 108
Factors of 164009664
Divisors of 164009664
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 84 91 96 98 104 108 112 117 126 144 147 149 156 168 182 189 192 196 208 216 224 234 252 273 288 294 298 312 336 351 364 378 392 416 432 441 447 448 468 504 546 576 588 596 624 637 672 702 728 756 784 819 832 864 882 894 936 1008 1043 1092 1176 1192 1248 1274 1323 1341 1344 1404 1456 1512 1568 1638 1728 1764 1788 1872 1911 1937 2016 2086 2184 2352 2384 2457 2496 2548 2646 2682 2808 2912 3024 3129 3136 3276 3528 3576 3744 3822 3874 4023 4032 4172 4368 4704 4768 4914 5096 5292 5364 5616 5733 5811 5824 6048 6258 6552 7056 7152 7301 7488 7644 7748 8046 8344 8736 9387 9408 9536 9828 10192 10584 10728 11232 11466 11622 12096 12516 13104 13559 14112 14304 14602 15288 15496 16092 16688 17199 17433 17472 18774 19656 20384 21168 21456 21903 22464 22932 23244 25032 26208 27118 28161 28224 28608 29204 30576 30992 32184 33376 34398 34866 37548 39312 40677 40768 42336 42912 43806 45864 46488 50064 52299 52416 54236 56322 58408 61152 61984 64368 65709 66752 68796 69732 75096 78624 81354 84672 85824 87612 91728 92976 94913 100128 104598 108472 112644 116816 122031 122304 123968 128736 131418 137592 139464 150192 157248 162708 175224 183456 185952 189826 197127 200256 209196 216944 225288 233632 244062 257472 262836 275184 278928 284739 300384 325416 350448 366093 366912 371904 379652 394254 418392 433888 450576 467264 488124 525672 550368 557856 569478 600768 650832 700896 732186 759304 788508 836784 854217 867776 901152 976248 1051344 1100736 1115712 1138956 1301664 1401792 1464372 1518608 1577016 1673568 1708434 1802304 1952496 2102688 2277912 2562651 2603328 2928744 3037216 3154032 3347136 3416868 3904992 4205376 4555824 5125302 5857488 6074432 6308064 6833736 7809984 9111648 10250604 11714976 12616128 13667472 18223296 20501208 23429952 27334944 41002416 54669888 82004832 164009664
- Sum of all divisors σ(n): 608076000
- Sum of proper divisors (its aliquot sum) s(n): 444066336
- 164009664 is an abundant number, because the sum of its proper divisors (444066336) is greater than itself. Its abundance is 280056672
Bases of 164009664
- Binary: 10011100011010010110110000002
- Hexadecimal: 0x9C696C0
- Base-36: 2PNAO0
Squares and roots of 164009664
- 164009664 squared (1640096642) is 26899169885392896
- 164009664 cubed (1640096643) is 4411723814782207380946944
-
The
square root of 164009664 is 12806.6257851159 -
The
cube root of 164009664 is 547.3811188687
Scales and comparisons
How big is 164009664?- 164,009,664 seconds is equal to 5 years, 11 weeks, 1 day, 6 hours, 14 minutes, 24 seconds.
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To count from 1 to 164,009,664 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 164009664 cubic inches would be around 45.6 feet tall.
Recreational maths with 164009664
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