164424000
164,424,000 is an even composite number composed of six prime numbers multiplied together.
164424000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 164424000:
26 × 3 × 53 × 13 × 17 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 17 × 31)See below for interesting mathematical facts about the number 164424000 from the Numbermatics database.
Names of 164424000
- Cardinal: 164424000 can be written as One hundred sixty-four million, four hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.64424 × 108
Factors of 164424000
Divisors of 164424000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 31 32 34 39 40 48 50 51 52 60 62 64 65 68 75 78 80 85 93 96 100 102 104 120 124 125 130 136 150 155 156 160 170 186 192 195 200 204 208 221 240 248 250 255 260 272 300 310 312 320 325 340 372 375 390 400 403 408 416 425 442 465 480 496 500 510 520 527 544 600 620 624 650 663 680 744 750 775 780 800 806 816 832 850 884 930 960 975 992 1000 1020 1040 1054 1088 1105 1200 1209 1240 1248 1275 1300 1326 1360 1488 1500 1550 1560 1581 1600 1612 1625 1632 1700 1768 1860 1950 1984 2000 2015 2040 2080 2108 2125 2210 2325 2400 2418 2480 2496 2550 2600 2635 2652 2720 2976 3000 3100 3120 3162 3224 3250 3264 3315 3400 3536 3720 3875 3900 4000 4030 4080 4160 4216 4250 4420 4650 4800 4836 4875 4960 5100 5200 5270 5304 5440 5525 5952 6000 6045 6200 6240 6324 6375 6448 6500 6630 6800 6851 7072 7440 7750 7800 7905 8000 8060 8160 8432 8500 8840 9300 9672 9750 9920 10075 10200 10400 10540 10608 11050 11625 12000 12090 12400 12480 12648 12750 12896 13000 13175 13260 13600 13702 14144 14880 15500 15600 15810 16120 16320 16575 16864 17000 17680 18600 19344 19500 20150 20400 20553 20800 21080 21216 22100 23250 24000 24180 24800 25296 25500 25792 26000 26350 26520 27200 27404 27625 29760 30225 31000 31200 31620 32240 33150 33728 34000 34255 35360 37200 38688 39000 39525 40300 40800 41106 42160 42432 44200 46500 48360 49600 50375 50592 51000 52000 52700 53040 54808 55250 60450 62000 62400 63240 64480 65875 66300 68000 68510 70720 74400 77376 78000 79050 80600 81600 82212 82875 84320 88400 93000 96720 100750 101184 102000 102765 104000 105400 106080 109616 110500 120900 124000 126480 128960 131750 132600 136000 137020 148800 151125 156000 158100 161200 164424 165750 168640 171275 176800 186000 193440 197625 201500 204000 205530 210800 212160 219232 221000 241800 248000 252960 263500 265200 274040 302250 312000 316200 322400 328848 331500 342550 353600 372000 386880 395250 403000 408000 411060 421600 438464 442000 483600 505920 513825 527000 530400 548080 604500 632400 644800 657696 663000 685100 744000 790500 806000 822120 843200 856375 884000 967200 1027650 1054000 1060800 1096160 1209000 1264800 1315392 1326000 1370200 1581000 1612000 1644240 1712750 1768000 1934400 2055300 2108000 2192320 2418000 2529600 2569125 2652000 2740400 3162000 3224000 3288480 3425500 4110600 4216000 4836000 5138250 5304000 5480800 6324000 6576960 6851000 8221200 9672000 10276500 10961600 12648000 13702000 16442400 20553000 27404000 32884800 41106000 54808000 82212000 164424000
- Sum of all divisors σ(n): 639055872
- Sum of proper divisors (its aliquot sum) s(n): 474631872
- 164424000 is an abundant number, because the sum of its proper divisors (474631872) is greater than itself. Its abundance is 310207872
Bases of 164424000
- Binary: 10011100110011101001010000002
- Hexadecimal: 0x9CCE940
- Base-36: 2PW6DC
Squares and roots of 164424000
- 164424000 squared (1644240002) is 27035251776000000
- 164424000 cubed (1644240003) is 4445244238017024000000000
-
The
square root of 164424000 is 12822.7922076277 -
The
cube root of 164424000 is 547.8416790943
Scales and comparisons
How big is 164424000?- 164,424,000 seconds is equal to 5 years, 11 weeks, 6 days, 1 hour, 20 minutes.
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To count from 1 to 164,424,000 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 164424000 cubic inches would be around 45.7 feet tall.
Recreational maths with 164424000
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