122428800
122,428,800 is an even composite number composed of five prime numbers multiplied together.
122428800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 122428800:
27 × 33 × 52 × 13 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 109)See below for interesting mathematical facts about the number 122428800 from the Numbermatics database.
Names of 122428800
- Cardinal: 122428800 can be written as One hundred twenty-two million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.224288 × 108
Factors of 122428800
Divisors of 122428800
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 109 117 120 128 130 135 144 150 156 160 180 192 195 200 208 216 218 225 234 240 260 270 288 300 312 320 325 327 351 360 384 390 400 416 432 436 450 468 480 520 540 545 576 585 600 624 640 650 654 675 702 720 780 800 832 864 872 900 936 960 975 981 1040 1080 1090 1152 1170 1200 1248 1300 1308 1350 1404 1417 1440 1560 1600 1635 1664 1728 1744 1755 1800 1872 1920 1950 1962 2080 2160 2180 2340 2400 2496 2600 2616 2700 2725 2808 2834 2880 2925 2943 3120 3200 3270 3456 3488 3510 3600 3744 3900 3924 4160 4251 4320 4360 4680 4800 4905 4992 5200 5232 5400 5450 5616 5668 5760 5850 5886 6240 6540 6976 7020 7085 7200 7488 7800 7848 8175 8320 8502 8640 8720 8775 9360 9600 9810 10400 10464 10800 10900 11232 11336 11700 11772 12480 12753 13080 13952 14040 14170 14400 14715 14976 15600 15696 16350 17004 17280 17440 17550 18720 19620 20800 20928 21255 21600 21800 22464 22672 23400 23544 24525 24960 25506 26160 28080 28340 28800 29430 31200 31392 32700 34008 34880 35100 35425 37440 38259 39240 41600 41856 42510 43200 43600 44928 45344 46800 47088 49050 51012 52320 56160 56680 58860 62400 62784 63765 65400 68016 69760 70200 70850 73575 74880 76518 78480 85020 86400 87200 90688 93600 94176 98100 102024 104640 106275 112320 113360 117720 124800 125568 127530 130800 136032 140400 141700 147150 153036 156960 170040 174400 181376 187200 188352 191295 196200 204048 209280 212550 224640 226720 235440 255060 261600 272064 280800 283400 294300 306072 313920 318825 340080 348800 374400 376704 382590 392400 408096 425100 453440 470880 510120 523200 544128 561600 566800 588600 612144 627840 637650 680160 765180 784800 816192 850200 906880 941760 956475 1020240 1046400 1123200 1133600 1177200 1224288 1275300 1360320 1530360 1569600 1632384 1700400 1883520 1912950 2040480 2267200 2354400 2448576 2550600 2720640 3060720 3139200 3400800 3825900 4080960 4534400 4708800 4897152 5101200 6121440 6801600 7651800 8161920 9417600 10202400 12242880 13603200 15303600 20404800 24485760 30607200 40809600 61214400 122428800
- Sum of all divisors σ(n): 486948000
- Sum of proper divisors (its aliquot sum) s(n): 364519200
- 122428800 is an abundant number, because the sum of its proper divisors (364519200) is greater than itself. Its abundance is 242090400
Bases of 122428800
- Binary: 1110100110000011101100000002
- Hexadecimal: 0x74C1D80
- Base-36: 20W2O0
Squares and roots of 122428800
- 122428800 squared (1224288002) is 14988811069440000
- 122428800 cubed (1224288003) is 1835062152658255872000000
-
The
square root of 122428800 is 11064.7548549437 -
The
cube root of 122428800 is 496.5479549521
Scales and comparisons
How big is 122428800?- 122,428,800 seconds is equal to 3 years, 46 weeks, 3 days.
-
To count from 1 to 122,428,800 would take you about five 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 122428800 cubic inches would be around 41.4 feet tall.
Recreational maths with 122428800
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