450728064
450,728,064 is an even composite number composed of four prime numbers multiplied together.
450728064 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 450728064:
27 × 35 × 43 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 43 × 337)See below for interesting mathematical facts about the number 450728064 from the Numbermatics database.
Names of 450728064
- Cardinal: 450728064 can be written as Four hundred fifty million, seven hundred twenty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 4.50728064 × 108
Factors of 450728064
Divisors of 450728064
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 128 129 144 162 172 192 216 243 258 288 324 337 344 384 387 432 486 516 576 648 674 688 774 864 972 1011 1032 1152 1161 1296 1348 1376 1548 1728 1944 2022 2064 2322 2592 2696 2752 3033 3096 3456 3483 3888 4044 4128 4644 5184 5392 5504 6066 6192 6966 7776 8088 8256 9099 9288 10368 10449 10784 12132 12384 13932 14491 15552 16176 16512 18198 18576 20898 21568 24264 24768 27297 27864 28982 31104 32352 36396 37152 41796 43136 43473 48528 49536 54594 55728 57964 64704 72792 74304 81891 83592 86946 97056 109188 111456 115928 129408 130419 145584 148608 163782 167184 173892 194112 218376 222912 231856 260838 291168 327564 334368 347784 388224 391257 436752 445824 463712 521676 582336 655128 668736 695568 782514 873504 927424 1043352 1164672 1173771 1310256 1337472 1391136 1565028 1747008 1854848 2086704 2347542 2620512 2782272 3130056 3494016 3521313 4173408 4695084 5241024 5564544 6260112 7042626 8346816 9390168 10482048 12520224 14085252 16693632 18780336 25040448 28170504 37560672 50080896 56341008 75121344 112682016 150242688 225364032 450728064
- Sum of all divisors σ(n): 1380419040
- Sum of proper divisors (its aliquot sum) s(n): 929690976
- 450728064 is an abundant number, because the sum of its proper divisors (929690976) is greater than itself. Its abundance is 478962912
Bases of 450728064
- Binary: 110101101110110010000100000002
- Hexadecimal: 0x1ADD9080
- Base-36: 7GCO00
Squares and roots of 450728064
- 450728064 squared (4507280642) is 203155787677188096
- 450728064 cubed (4507280643) is 91568014870134047473926144
-
The
square root of 450728064 is 21230.3571331243 -
The
cube root of 450728064 is 766.7224854969
Scales and comparisons
How big is 450728064?- 450,728,064 seconds is equal to 14 years, 17 weeks, 1 day, 18 hours, 14 minutes, 24 seconds.
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To count from 1 to 450,728,064 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 450728064 cubic inches would be around 63.9 feet tall.
Recreational maths with 450728064
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