84006144
84,006,144 is an even composite number composed of four prime numbers multiplied together.
84006144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-two divisors.
Prime factorization of 84006144:
28 × 32 × 192 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 19 × 101)See below for interesting mathematical facts about the number 84006144 from the Numbermatics database.
Names of 84006144
- Cardinal: 84006144 can be written as Eighty-four million, six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 8.4006144 × 107
Factors of 84006144
Divisors of 84006144
- Number of divisors d(n): 162
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 101 114 128 144 152 171 192 202 228 256 288 303 304 342 361 384 404 456 576 606 608 684 722 768 808 909 912 1083 1152 1212 1216 1368 1444 1616 1818 1824 1919 2166 2304 2424 2432 2736 2888 3232 3249 3636 3648 3838 4332 4848 4864 5472 5757 5776 6464 6498 7272 7296 7676 8664 9696 10944 11514 11552 12928 12996 14544 14592 15352 17271 17328 19392 21888 23028 23104 25856 25992 29088 30704 34542 34656 36461 38784 43776 46056 46208 51984 58176 61408 69084 69312 72922 77568 92112 92416 103968 109383 116352 122816 138168 138624 145844 184224 207936 218766 232704 245632 276336 277248 291688 328149 368448 415872 437532 491264 552672 583376 656298 736896 831744 875064 1105344 1166752 1312596 1473792 1750128 2210688 2333504 2625192 3500256 4421376 4667008 5250384 7000512 9334016 10500768 14001024 21001536 28002048 42003072 84006144
- Sum of all divisors σ(n): 258160266
- Sum of proper divisors (its aliquot sum) s(n): 174154122
- 84006144 is an abundant number, because the sum of its proper divisors (174154122) is greater than itself. Its abundance is 90147978
Bases of 84006144
- Binary: 1010000000111010101000000002
- Hexadecimal: 0x501D500
- Base-36: 1E0JK0
Squares and roots of 84006144
- 84006144 squared (840061442) is 7057032229748736
- 84006144 cubed (840061443) is 592834065704913400233984
-
The
square root of 84006144 is 9165.4865664623 -
The
cube root of 84006144 is 437.9625914133
Scales and comparisons
How big is 84006144?- 84,006,144 seconds is equal to 2 years, 34 weeks, 6 days, 7 hours, 2 minutes, 24 seconds.
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To count from 1 to 84,006,144 would take you about four 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 84006144 cubic inches would be around 36.5 feet tall.
Recreational maths with 84006144
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