138028800
138,028,800 is an even composite number composed of six prime numbers multiplied together.
138028800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138028800:
28 × 3 × 52 × 7 × 13 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 79)See below for interesting mathematical facts about the number 138028800 from the Numbermatics database.
Names of 138028800
- Cardinal: 138028800 can be written as One hundred thirty-eight million, twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380288 × 108
Factors of 138028800
Divisors of 138028800
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 79 80 84 91 96 100 104 105 112 120 128 130 140 150 156 158 160 168 175 182 192 195 200 208 210 224 237 240 256 260 273 280 300 312 316 320 325 336 350 364 384 390 395 400 416 420 448 455 474 480 520 525 546 553 560 600 624 632 640 650 672 700 728 768 780 790 800 832 840 896 910 948 960 975 1027 1040 1050 1092 1106 1120 1185 1200 1248 1264 1280 1300 1344 1365 1400 1456 1560 1580 1600 1659 1664 1680 1792 1820 1896 1920 1950 1975 2054 2080 2100 2184 2212 2240 2275 2370 2400 2496 2528 2600 2688 2730 2765 2800 2912 3081 3120 3160 3200 3318 3328 3360 3640 3792 3840 3900 3950 4108 4160 4200 4368 4424 4480 4550 4740 4800 4992 5056 5135 5200 5376 5460 5530 5600 5824 5925 6162 6240 6320 6400 6636 6720 6825 7189 7280 7584 7800 7900 8216 8295 8320 8400 8736 8848 8960 9100 9480 9600 9984 10112 10270 10400 10920 11060 11200 11648 11850 12324 12480 12640 13272 13440 13650 13825 14378 14560 15168 15405 15600 15800 16432 16590 16640 16800 17472 17696 18200 18960 19200 20224 20540 20800 21567 21840 22120 22400 23296 23700 24648 24960 25280 25675 26544 26880 27300 27650 28756 29120 30336 30810 31200 31600 32864 33180 33600 34944 35392 35945 36400 37920 41080 41475 41600 43134 43680 44240 44800 47400 49296 49920 50560 51350 53088 54600 55300 57512 58240 60672 61620 62400 63200 65728 66360 67200 69888 70784 71890 72800 75840 77025 82160 82950 83200 86268 87360 88480 94800 98592 101120 102700 106176 107835 109200 110600 115024 116480 123240 124800 126400 131456 132720 134400 141568 143780 145600 151680 154050 164320 165900 172536 174720 176960 179725 189600 197184 205400 212352 215670 218400 221200 230048 246480 249600 252800 262912 265440 287560 291200 303360 308100 328640 331800 345072 349440 353920 359450 379200 394368 410800 424704 431340 436800 442400 460096 492960 505600 530880 539175 575120 582400 616200 657280 663600 690144 707840 718900 758400 788736 821600 862680 873600 884800 920192 985920 1061760 1078350 1150240 1232400 1314560 1327200 1380288 1437800 1516800 1643200 1725360 1747200 1769600 1840384 1971840 2123520 2156700 2300480 2464800 2654400 2760576 2875600 3286400 3450720 3539200 3943680 4313400 4600960 4929600 5308800 5521152 5751200 6572800 6901440 8626800 9201920 9859200 10617600 11502400 13802880 17253600 19718400 23004800 27605760 34507200 46009600 69014400 138028800
- Sum of all divisors σ(n): 567741440
- Sum of proper divisors (its aliquot sum) s(n): 429712640
- 138028800 is an abundant number, because the sum of its proper divisors (429712640) is greater than itself. Its abundance is 291683840
Bases of 138028800
- Binary: 10000011101000100111000000002
- Hexadecimal: 0x83A2700
- Base-36: 2A6FPC
Squares and roots of 138028800
- 138028800 squared (1380288002) is 19051949629440000
- 138028800 cubed (1380288003) is 2629717745012047872000000
-
The
square root of 138028800 is 11748.5658699265 -
The
cube root of 138028800 is 516.8008716003
Scales and comparisons
How big is 138028800?- 138,028,800 seconds is equal to 4 years, 20 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 138,028,800 would take you about six 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 138028800 cubic inches would be around 43.1 feet tall.
Recreational maths with 138028800
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