164748480
164,748,480 is an even composite number composed of six prime numbers multiplied together.
164748480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 164748480:
26 × 3 × 5 × 13 × 43 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 43 × 307)See below for interesting mathematical facts about the number 164748480 from the Numbermatics database.
Names of 164748480
- Cardinal: 164748480 can be written as One hundred sixty-four million, seven hundred forty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.6474848 × 108
Factors of 164748480
Divisors of 164748480
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 43 48 52 60 64 65 78 80 86 96 104 120 129 130 156 160 172 192 195 208 215 240 258 260 307 312 320 344 390 416 430 480 516 520 559 614 624 645 688 780 832 860 921 960 1032 1040 1118 1228 1248 1290 1376 1535 1560 1677 1720 1842 2064 2080 2236 2456 2496 2580 2752 2795 3070 3120 3354 3440 3684 3991 4128 4160 4472 4605 4912 5160 5590 6140 6240 6708 6880 7368 7982 8256 8385 8944 9210 9824 10320 11180 11973 12280 12480 13201 13416 13760 14736 15964 16770 17888 18420 19648 19955 20640 22360 23946 24560 26402 26832 29472 31928 33540 35776 36840 39603 39910 41280 44720 47892 49120 52804 53664 58944 59865 63856 66005 67080 73680 79206 79820 89440 95784 98240 105608 107328 119730 127712 132010 134160 147360 158412 159640 171613 178880 191568 198015 211216 239460 255424 264020 268320 294720 316824 319280 343226 383136 396030 422432 478920 514839 528040 536640 633648 638560 686452 766272 792060 844864 858065 957840 1029678 1056080 1267296 1277120 1372904 1584120 1716130 1915680 2059356 2112160 2534592 2574195 2745808 3168240 3432260 3831360 4118712 4224320 5148390 5491616 6336480 6864520 8237424 10296780 10983232 12672960 13729040 16474848 20593560 27458080 32949696 41187120 54916160 82374240 164748480
- Sum of all divisors σ(n): 578290944
- Sum of proper divisors (its aliquot sum) s(n): 413542464
- 164748480 is an abundant number, because the sum of its proper divisors (413542464) is greater than itself. Its abundance is 248793984
Bases of 164748480
- Binary: 10011101000111011100110000002
- Hexadecimal: 0x9D1DCC0
- Base-36: 2Q34QO
Squares and roots of 164748480
- 164748480 squared (1647484802) is 27142061662310400
- 164748480 cubed (1647484803) is 4471613402931911688192000
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The
square root of 164748480 is 12835.4384420635 -
The
cube root of 164748480 is 548.2018188571
Scales and comparisons
How big is 164748480?- 164,748,480 seconds is equal to 5 years, 12 weeks, 2 days, 19 hours, 28 minutes.
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To count from 1 to 164,748,480 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 164748480 cubic inches would be around 45.7 feet tall.
Recreational maths with 164748480
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