12400128
12,400,128 is an even composite number composed of four prime numbers multiplied together.
12400128 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred divisors.
Prime factorization of 12400128:
29 × 34 × 13 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 23)See below for interesting mathematical facts about the number 12400128 from the Numbermatics database.
Names of 12400128
- Cardinal: 12400128 can be written as Twelve million, four hundred thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.2400128 × 107
Factors of 12400128
Divisors of 12400128
- Number of divisors d(n): 200
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 39 46 48 52 54 64 69 72 78 81 92 96 104 108 117 128 138 144 156 162 184 192 207 208 216 234 256 276 288 299 312 324 351 368 384 414 416 432 468 512 552 576 598 621 624 648 702 736 768 828 832 864 897 936 1053 1104 1152 1196 1242 1248 1296 1404 1472 1536 1656 1664 1728 1794 1863 1872 2106 2208 2304 2392 2484 2496 2592 2691 2808 2944 3312 3328 3456 3588 3726 3744 4212 4416 4608 4784 4968 4992 5184 5382 5616 5888 6624 6656 6912 7176 7452 7488 8073 8424 8832 9568 9936 9984 10368 10764 11232 11776 13248 13824 14352 14904 14976 16146 16848 17664 19136 19872 19968 20736 21528 22464 24219 26496 28704 29808 29952 32292 33696 35328 38272 39744 41472 43056 44928 48438 52992 57408 59616 59904 64584 67392 76544 79488 86112 89856 96876 105984 114816 119232 129168 134784 153088 158976 172224 179712 193752 229632 238464 258336 269568 317952 344448 387504 459264 476928 516672 539136 688896 775008 953856 1033344 1377792 1550016 2066688 3100032 4133376 6200064 12400128
- Sum of all divisors σ(n): 41591088
- Sum of proper divisors (its aliquot sum) s(n): 29190960
- 12400128 is an abundant number, because the sum of its proper divisors (29190960) is greater than itself. Its abundance is 16790832
Bases of 12400128
- Binary: 1011110100110110000000002
- Hexadecimal: 0xBD3600
- Base-36: 7DS00
Squares and roots of 12400128
- 12400128 squared (124001282) is 153763174416384
- 12400128 cubed (124001283) is 1906683044449486897152
-
The
square root of 12400128 is 3521.3815470633 -
The
cube root of 12400128 is 231.4597018675
Scales and comparisons
How big is 12400128?- 12,400,128 seconds is equal to 20 weeks, 3 days, 12 hours, 28 minutes, 48 seconds.
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To count from 1 to 12,400,128 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 12400128 cubic inches would be around 19.3 feet tall.
Recreational maths with 12400128
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