728416128
728,416,128 is an even composite number composed of five prime numbers multiplied together.
728416128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 728416128:
27 × 3 × 112 × 61 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 61 × 257)See below for interesting mathematical facts about the number 728416128 from the Numbermatics database.
Names of 728416128
- Cardinal: 728416128 can be written as Seven hundred twenty-eight million, four hundred sixteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 7.28416128 × 108
Factors of 728416128
Divisors of 728416128
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 121 122 128 132 176 183 192 242 244 257 264 352 363 366 384 484 488 514 528 671 704 726 732 771 968 976 1028 1056 1342 1408 1452 1464 1542 1936 1952 2013 2056 2112 2684 2827 2904 2928 3084 3872 3904 4026 4112 4224 5368 5654 5808 5856 6168 7381 7744 7808 8052 8224 8481 10736 11308 11616 11712 12336 14762 15488 15677 16104 16448 16962 21472 22143 22616 23232 23424 24672 29524 31097 31354 32208 32896 33924 42944 44286 45232 46464 47031 49344 59048 62194 62708 64416 67848 85888 88572 90464 93291 94062 98688 118096 124388 125416 128832 135696 172447 177144 180928 186582 188124 236192 248776 250832 257664 271392 344894 354288 361856 373164 376248 472384 497552 501664 517341 542784 689788 708576 746328 752496 944768 995104 1003328 1034682 1085568 1379576 1417152 1492656 1504992 1896917 1990208 2006656 2069364 2759152 2834304 2985312 3009984 3793834 3980416 4138728 5518304 5690751 5970624 6019968 7587668 8277456 11036608 11381502 11941248 15175336 16554912 22073216 22763004 30350672 33109824 45526008 60701344 66219648 91052016 121402688 182104032 242805376 364208064 728416128
- Sum of all divisors σ(n): 2170017360
- Sum of proper divisors (its aliquot sum) s(n): 1441601232
- 728416128 is an abundant number, because the sum of its proper divisors (1441601232) is greater than itself. Its abundance is 713185104
Bases of 728416128
- Binary: 1010110110101010111111100000002
- Hexadecimal: 0x2B6ABF80
- Base-36: C1OHHC
Squares and roots of 728416128
- 728416128 squared (7284161282) is 530590055530512384
- 728416128 cubed (7284161283) is 386490353804840816609329152
-
The
square root of 728416128 is 26989.1853897075 -
The
cube root of 728416128 is 899.7596592807
Scales and comparisons
How big is 728416128?- 728,416,128 seconds is equal to 23 years, 8 weeks, 2 days, 17 hours, 48 minutes, 48 seconds.
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To count from 1 to 728,416,128 would take you about thirty-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 728416128 cubic inches would be around 75 feet tall.
Recreational maths with 728416128
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