142771200
142,771,200 is an even composite number composed of five prime numbers multiplied together.
142771200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred ninety-six divisors.
Prime factorization of 142771200:
210 × 3 × 52 × 11 × 132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 13)See below for interesting mathematical facts about the number 142771200 from the Numbermatics database.
Names of 142771200
- Cardinal: 142771200 can be written as One hundred forty-two million, seven hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.427712 × 108
Factors of 142771200
Divisors of 142771200
- Number of divisors d(n): 396
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 64 65 66 75 78 80 88 96 100 104 110 120 128 130 132 143 150 156 160 165 169 176 192 195 200 208 220 240 256 260 264 275 286 300 312 320 325 330 338 352 384 390 400 416 429 440 480 507 512 520 528 550 572 600 624 640 650 660 676 704 715 768 780 800 825 832 845 858 880 960 975 1014 1024 1040 1056 1100 1144 1200 1248 1280 1300 1320 1352 1408 1430 1536 1560 1600 1650 1664 1690 1716 1760 1859 1920 1950 2028 2080 2112 2145 2200 2288 2400 2496 2535 2560 2600 2640 2704 2816 2860 3072 3120 3200 3300 3328 3380 3432 3520 3575 3718 3840 3900 4056 4160 4224 4225 4290 4400 4576 4800 4992 5070 5120 5200 5280 5408 5577 5632 5720 6240 6400 6600 6656 6760 6864 7040 7150 7436 7680 7800 8112 8320 8448 8450 8580 8800 9152 9295 9600 9984 10140 10400 10560 10725 10816 11154 11264 11440 12480 12675 12800 13200 13312 13520 13728 14080 14300 14872 15360 15600 16224 16640 16896 16900 17160 17600 18304 18590 19200 19968 20280 20800 21120 21450 21632 22308 22880 24960 25350 25600 26400 27040 27456 27885 28160 28600 29744 31200 32448 33280 33792 33800 34320 35200 36608 37180 38400 39936 40560 41600 42240 42900 43264 44616 45760 46475 49920 50700 52800 54080 54912 55770 56320 57200 59488 62400 64896 66560 67600 68640 70400 73216 74360 76800 81120 83200 84480 85800 86528 89232 91520 92950 99840 101400 105600 108160 109824 111540 114400 118976 124800 129792 135200 137280 139425 140800 146432 148720 162240 166400 168960 171600 173056 178464 183040 185900 199680 202800 211200 216320 219648 223080 228800 237952 249600 259584 270400 274560 278850 281600 297440 324480 332800 343200 356928 366080 371800 405600 422400 432640 439296 446160 457600 475904 499200 519168 540800 549120 557700 594880 648960 686400 713856 732160 743600 811200 844800 865280 892320 915200 951808 998400 1081600 1098240 1115400 1189760 1297920 1372800 1427712 1487200 1622400 1784640 1830400 1903616 2163200 2196480 2230800 2379520 2595840 2745600 2855424 2974400 3244800 3569280 3660800 4326400 4461600 4759040 5491200 5710848 5948800 6489600 7138560 8923200 9518080 10982400 11897600 12979200 14277120 17846400 23795200 28554240 35692800 47590400 71385600 142771200
- Sum of all divisors σ(n): 557406288
- Sum of proper divisors (its aliquot sum) s(n): 414635088
- 142771200 is an abundant number, because the sum of its proper divisors (414635088) is greater than itself. Its abundance is 271863888
Bases of 142771200
- Binary: 10001000001010000100000000002
- Hexadecimal: 0x8828400
- Base-36: 2D02YO
Squares and roots of 142771200
- 142771200 squared (1427712002) is 20383615549440000
- 142771200 cubed (1427712003) is 2910193252332208128000000
-
The
square root of 142771200 is 11948.6903047991 -
The
cube root of 142771200 is 522.6531071497
Scales and comparisons
How big is 142771200?- 142,771,200 seconds is equal to 4 years, 28 weeks, 10 hours, 40 minutes.
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To count from 1 to 142,771,200 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 142771200 cubic inches would be around 43.6 feet tall.
Recreational maths with 142771200
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