12423264
12,423,264 is an even composite number composed of five prime numbers multiplied together.
12423264 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 12423264:
25 × 3 × 72 × 19 × 139
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 139)See below for interesting mathematical facts about the number 12423264 from the Numbermatics database.
Names of 12423264
- Cardinal: 12423264 can be written as Twelve million, four hundred twenty-three thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.2423264 × 107
Factors of 12423264
Divisors of 12423264
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 139 147 152 168 196 224 228 266 278 294 304 336 392 399 417 456 532 556 588 608 672 784 798 834 912 931 973 1064 1112 1176 1568 1596 1668 1824 1862 1946 2128 2224 2352 2641 2793 2919 3192 3336 3724 3892 4256 4448 4704 5282 5586 5838 6384 6672 6811 7448 7784 7923 10564 11172 11676 12768 13344 13622 14896 15568 15846 18487 20433 21128 22344 23352 27244 29792 31136 31692 36974 40866 42256 44688 46704 54488 55461 63384 73948 81732 84512 89376 93408 108976 110922 126768 129409 147896 163464 217952 221844 253536 258818 295792 326928 388227 443688 517636 591584 653856 776454 887376 1035272 1552908 1774752 2070544 3105816 4141088 6211632 12423264
- Sum of all divisors σ(n): 40219200
- Sum of proper divisors (its aliquot sum) s(n): 27795936
- 12423264 is an abundant number, because the sum of its proper divisors (27795936) is greater than itself. Its abundance is 15372672
Bases of 12423264
- Binary: 1011110110010000011000002
- Hexadecimal: 0xBD9060
- Base-36: 7E9UO
Squares and roots of 12423264
- 12423264 squared (124232642) is 154337488413696
- 12423264 cubed (124232643) is 1917375363660286623744
-
The
square root of 12423264 is 3524.6650904731 -
The
cube root of 12423264 is 231.6035639483
Scales and comparisons
How big is 12423264?- 12,423,264 seconds is equal to 20 weeks, 3 days, 18 hours, 54 minutes, 24 seconds.
-
To count from 1 to 12,423,264 would take you about thirty weeks!
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 12423264 cubic inches would be around 19.3 feet tall.
Recreational maths with 12423264
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