442090044
442,090,044 is an even composite number composed of six prime numbers multiplied together.
442090044 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 442090044:
22 × 32 × 11 × 41 × 73 × 373
(2 × 2 × 3 × 3 × 11 × 41 × 73 × 373)See below for interesting mathematical facts about the number 442090044 from the Numbermatics database.
Names of 442090044
- Cardinal: 442090044 can be written as Four hundred forty-two million, ninety thousand and forty-four.
Scientific notation
- Scientific notation: 4.42090044 × 108
Factors of 442090044
Divisors of 442090044
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 73 82 99 123 132 146 164 198 219 246 292 369 373 396 438 451 492 657 738 746 803 876 902 1119 1314 1353 1476 1492 1606 1804 2238 2409 2628 2706 2993 3212 3357 4059 4103 4476 4818 5412 5986 6714 7227 8118 8206 8979 9636 11972 12309 13428 14454 15293 16236 16412 17958 24618 26937 27229 28908 30586 32923 35916 36927 45879 49236 53874 54458 61172 65846 73854 81687 91758 98769 107748 108916 131692 137637 147708 163374 168223 183516 197538 245061 275274 296307 299519 326748 336446 395076 490122 504669 550548 592614 599038 672892 898557 980244 1009338 1116389 1185228 1198076 1514007 1797114 2018676 2232778 2695671 3028014 3349167 3594228 4465556 5391342 6056028 6698334 10047501 10782684 12280279 13396668 20095002 24560558 36840837 40190004 49121116 73681674 110522511 147363348 221045022 442090044
- Sum of all divisors σ(n): 1269332064
- Sum of proper divisors (its aliquot sum) s(n): 827242020
- 442090044 is an abundant number, because the sum of its proper divisors (827242020) is greater than itself. Its abundance is 385151976
Bases of 442090044
- Binary: 110100101100111000010001111002
- Hexadecimal: 0x1A59C23C
- Base-36: 7B7IV0
Squares and roots of 442090044
- 442090044 squared (4420900442) is 195443607003921936
- 442090044 cubed (4420900443) is 86403672819882556858805184
-
The
square root of 442090044 is 21025.9374107315 -
The
cube root of 442090044 is 761.7928839627
Scales and comparisons
How big is 442090044?- 442,090,044 seconds is equal to 14 years, 2 weeks, 6 days, 18 hours, 47 minutes, 24 seconds.
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To count from 1 to 442,090,044 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 442090044 cubic inches would be around 63.5 feet tall.
Recreational maths with 442090044
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