442143680
442,143,680 is an even composite number composed of five prime numbers multiplied together.
442143680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 442143680:
26 × 5 × 112 × 19 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 19 × 601)See below for interesting mathematical facts about the number 442143680 from the Numbermatics database.
Names of 442143680
- Cardinal: 442143680 can be written as Four hundred forty-two million, one hundred forty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.4214368 × 108
Factors of 442143680
Divisors of 442143680
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 121 152 160 176 190 209 220 242 304 320 352 380 418 440 484 601 605 608 704 760 836 880 968 1045 1202 1210 1216 1520 1672 1760 1936 2090 2299 2404 2420 3005 3040 3344 3520 3872 4180 4598 4808 4840 6010 6080 6611 6688 7744 8360 9196 9616 9680 11419 11495 12020 13222 13376 16720 18392 19232 19360 22838 22990 24040 26444 33055 33440 36784 38464 38720 45676 45980 48080 52888 57095 66110 66880 72721 73568 91352 91960 96160 105776 114190 125609 132220 145442 147136 182704 183920 192320 211552 228380 251218 264440 290884 363605 365408 367840 423104 456760 502436 528880 581768 628045 727210 730816 735680 913520 1004872 1057760 1163536 1256090 1381699 1454420 1827040 2009744 2115520 2327072 2512180 2763398 2908840 3654080 4019488 4654144 5024360 5526796 5817680 6908495 8038976 10048720 11053592 11635360 13816990 20097440 22107184 23270720 27633980 40194880 44214368 55267960 88428736 110535920 221071840 442143680
- Sum of all divisors σ(n): 1220205840
- Sum of proper divisors (its aliquot sum) s(n): 778062160
- 442143680 is an abundant number, because the sum of its proper divisors (778062160) is greater than itself. Its abundance is 335918480
Bases of 442143680
- Binary: 110100101101010010011110000002
- Hexadecimal: 0x1A5A93C0
- Base-36: 7B8O8W
Squares and roots of 442143680
- 442143680 squared (4421436802) is 195491033763942400
- 442143680 cubed (4421436803) is 86435125075393744044032000
-
The
square root of 442143680 is 21027.2128443123 -
The
cube root of 442143680 is 761.8236905603
Scales and comparisons
How big is 442143680?- 442,143,680 seconds is equal to 14 years, 3 weeks, 9 hours, 41 minutes, 20 seconds.
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To count from 1 to 442,143,680 would take you about twenty-one 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 442143680 cubic inches would be around 63.5 feet tall.
Recreational maths with 442143680
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