406138128
406,138,128 is an even composite number composed of six prime numbers multiplied together.
406138128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 406138128:
24 × 3 × 11 × 41 × 73 × 257
(2 × 2 × 2 × 2 × 3 × 11 × 41 × 73 × 257)See below for interesting mathematical facts about the number 406138128 from the Numbermatics database.
Names of 406138128
- Cardinal: 406138128 can be written as Four hundred six million, one hundred thirty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.06138128 × 108
Factors of 406138128
Divisors of 406138128
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 73 82 88 123 132 146 164 176 219 246 257 264 292 328 438 451 492 514 528 584 656 771 803 876 902 984 1028 1168 1353 1542 1606 1752 1804 1968 2056 2409 2706 2827 2993 3084 3212 3504 3608 4112 4818 5412 5654 5986 6168 6424 7216 8481 8979 9636 10537 10824 11308 11972 12336 12848 16962 17958 18761 19272 21074 21648 22616 23944 31611 32923 33924 35916 37522 38544 42148 45232 47888 56283 63222 65846 67848 71832 75044 84296 98769 112566 115907 126444 131692 135696 143664 150088 168592 197538 206371 225132 231814 252888 263384 300176 347721 395076 412742 450264 463628 505776 526768 619113 695442 769201 790152 825484 900528 927256 1238226 1390884 1538402 1580304 1650968 1854512 2307603 2476452 2781768 3076804 3301936 4615206 4952904 5563536 6153608 8461211 9230412 9905808 12307216 16922422 18460824 25383633 33844844 36921648 50767266 67689688 101534532 135379376 203069064 406138128
- Sum of all divisors σ(n): 1193173632
- Sum of proper divisors (its aliquot sum) s(n): 787035504
- 406138128 is an abundant number, because the sum of its proper divisors (787035504) is greater than itself. Its abundance is 380897376
Bases of 406138128
- Binary: 110000011010100101101000100002
- Hexadecimal: 0x18352D10
- Base-36: 6PSY6O
Squares and roots of 406138128
- 406138128 squared (4061381282) is 164948179015344384
- 406138128 cubed (4061381283) is 66991744642300851393073152
-
The
square root of 406138128 is 20152.8689768975 -
The
cube root of 406138128 is 740.5560271969
Scales and comparisons
How big is 406138128?- 406,138,128 seconds is equal to 12 years, 47 weeks, 3 days, 16 hours, 8 minutes, 48 seconds.
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To count from 1 to 406,138,128 would take you about nineteen 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 406138128 cubic inches would be around 61.7 feet tall.
Recreational maths with 406138128
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