428513280
428,513,280 is an even composite number composed of six prime numbers multiplied together.
428513280 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 428513280:
211 × 3 × 5 × 13 × 29 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 29 × 37)See below for interesting mathematical facts about the number 428513280 from the Numbermatics database.
Names of 428513280
- Cardinal: 428513280 can be written as Four hundred twenty-eight million, five hundred thirteen thousand, two hundred eighty.
Scientific notation
- Scientific notation: 4.2851328 × 108
Factors of 428513280
Divisors of 428513280
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 32 37 39 40 48 52 58 60 64 65 74 78 80 87 96 104 111 116 120 128 130 145 148 156 160 174 185 192 195 208 222 232 240 256 260 290 296 312 320 348 370 377 384 390 416 435 444 464 480 481 512 520 555 580 592 624 640 696 740 754 768 780 832 870 888 928 960 962 1024 1040 1073 1110 1131 1160 1184 1248 1280 1392 1443 1480 1508 1536 1560 1664 1740 1776 1856 1885 1920 1924 2048 2080 2146 2220 2262 2320 2368 2405 2496 2560 2784 2886 2960 3016 3072 3120 3219 3328 3480 3552 3712 3770 3840 3848 4160 4292 4440 4524 4640 4736 4810 4992 5120 5365 5568 5655 5772 5920 6032 6144 6240 6438 6656 6960 7104 7215 7424 7540 7680 7696 8320 8584 8880 9048 9280 9472 9620 9984 10240 10730 11136 11310 11544 11840 12064 12480 12876 13312 13920 13949 14208 14430 14848 15080 15360 15392 16095 16640 17168 17760 18096 18560 18944 19240 19968 21460 22272 22620 23088 23680 24128 24960 25752 26624 27840 27898 28416 28860 29696 30160 30720 30784 32190 33280 34336 35520 36192 37120 37888 38480 39936 41847 42920 44544 45240 46176 47360 48256 49920 51504 55680 55796 56832 57720 59392 60320 61568 64380 66560 68672 69745 71040 72384 74240 75776 76960 79872 83694 85840 89088 90480 92352 94720 96512 99840 103008 111360 111592 113664 115440 120640 123136 128760 133120 137344 139490 142080 144768 148480 153920 167388 171680 178176 180960 184704 189440 193024 199680 206016 209235 222720 223184 227328 230880 241280 246272 257520 274688 278980 284160 289536 296960 307840 334776 343360 361920 369408 378880 386048 399360 412032 418470 445440 446368 461760 482560 492544 515040 549376 557960 568320 579072 615680 669552 686720 723840 738816 772096 824064 836940 890880 892736 923520 965120 985088 1030080 1098752 1115920 1136640 1158144 1231360 1339104 1373440 1447680 1477632 1648128 1673880 1785472 1847040 1930240 2060160 2197504 2231840 2316288 2462720 2678208 2746880 2895360 2955264 3296256 3347760 3570944 3694080 3860480 4120320 4463680 4925440 5356416 5493760 5790720 6592512 6695520 7141888 7388160 8240640 8927360 10712832 10987520 11581440 13391040 14283776 14776320 16481280 17854720 21425664 26782080 28567552 32962560 35709440 42851328 53564160 71418880 85702656 107128320 142837760 214256640 428513280
- Sum of all divisors σ(n): 1568548800
- Sum of proper divisors (its aliquot sum) s(n): 1140035520
- 428513280 is an abundant number, because the sum of its proper divisors (1140035520) is greater than itself. Its abundance is 711522240
Bases of 428513280
- Binary: 110011000101010011000000000002
- Hexadecimal: 0x198A9800
- Base-36: 734IYO
Squares and roots of 428513280
- 428513280 squared (4285132802) is 183623631136358400
- 428513280 cubed (4285132803) is 78685164463751065239552000
-
The
square root of 428513280 is 20700.5623112031 -
The
cube root of 428513280 is 753.9133410573
Scales and comparisons
How big is 428513280?- 428,513,280 seconds is equal to 13 years, 32 weeks, 3 days, 15 hours, 28 minutes.
-
To count from 1 to 428,513,280 would take you about twenty 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 428513280 cubic inches would be around 62.8 feet tall.
Recreational maths with 428513280
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