104642400
104,642,400 is an even composite number composed of five prime numbers multiplied together.
104642400 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 104642400:
25 × 3 × 52 × 59 × 739
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 59 × 739)See below for interesting mathematical facts about the number 104642400 from the Numbermatics database.
Names of 104642400
- Cardinal: 104642400 can be written as One hundred four million, six hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.046424 × 108
Factors of 104642400
Divisors of 104642400
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 59 60 75 80 96 100 118 120 150 160 177 200 236 240 295 300 354 400 472 480 590 600 708 739 800 885 944 1180 1200 1416 1475 1478 1770 1888 2217 2360 2400 2832 2950 2956 3540 3695 4425 4434 4720 5664 5900 5912 7080 7390 8850 8868 9440 11085 11800 11824 14160 14780 17700 17736 18475 22170 23600 23648 28320 29560 35400 35472 36950 43601 44340 47200 55425 59120 70800 70944 73900 87202 88680 110850 118240 130803 141600 147800 174404 177360 218005 221700 261606 295600 348808 354720 436010 443400 523212 591200 654015 697616 872020 886800 1046424 1090025 1308030 1395232 1744040 1773600 2092848 2180050 2616060 3270075 3488080 4185696 4360100 5232120 6540150 6976160 8720200 10464240 13080300 17440400 20928480 26160600 34880800 52321200 104642400
- Sum of all divisors σ(n): 346852800
- Sum of proper divisors (its aliquot sum) s(n): 242210400
- 104642400 is an abundant number, because the sum of its proper divisors (242210400) is greater than itself. Its abundance is 137568000
Bases of 104642400
- Binary: 1100011110010110111011000002
- Hexadecimal: 0x63CB760
- Base-36: 1QAULC
Squares and roots of 104642400
- 104642400 squared (1046424002) is 10950031877760000
- 104642400 cubed (1046424003) is 1145837615765313024000000
-
The
square root of 104642400 is 10229.4867906461 -
The
cube root of 104642400 is 471.2332182857
Scales and comparisons
How big is 104642400?- 104,642,400 seconds is equal to 3 years, 17 weeks, 3 hours, 20 minutes.
-
To count from 1 to 104,642,400 would take you about 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 104642400 cubic inches would be around 39.3 feet tall.
Recreational maths with 104642400
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