428142400
428,142,400 is an even composite number composed of five prime numbers multiplied together.
428142400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 428142400:
26 × 52 × 72 × 43 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 43 × 127)See below for interesting mathematical facts about the number 428142400 from the Numbermatics database.
Names of 428142400
- Cardinal: 428142400 can be written as Four hundred twenty-eight million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 4.281424 × 108
Factors of 428142400
Divisors of 428142400
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 43 49 50 56 64 70 80 86 98 100 112 127 140 160 172 175 196 200 215 224 245 254 280 301 320 344 350 392 400 430 448 490 508 560 602 635 688 700 784 800 860 889 980 1016 1075 1120 1204 1225 1270 1376 1400 1505 1568 1600 1720 1778 1960 2032 2107 2150 2240 2408 2450 2540 2752 2800 3010 3136 3175 3440 3556 3920 4064 4214 4300 4445 4816 4900 5080 5461 5600 6020 6223 6350 6880 7112 7525 7840 8128 8428 8600 8890 9632 9800 10160 10535 10922 11200 12040 12446 12700 13760 14224 15050 15680 16856 17200 17780 19264 19600 20320 21070 21844 22225 24080 24892 25400 27305 28448 30100 31115 33712 34400 35560 38227 39200 40640 42140 43688 44450 48160 49784 50800 52675 54610 56896 60200 62230 67424 68800 71120 76454 78400 84280 87376 88900 96320 99568 101600 105350 109220 120400 124460 134848 136525 142240 152908 155575 168560 174752 177800 191135 199136 203200 210700 218440 240800 248920 267589 273050 284480 305816 311150 337120 349504 355600 382270 398272 421400 436880 481600 497840 535178 546100 611632 622300 674240 711200 764540 842800 873760 955675 995680 1070356 1092200 1223264 1244600 1337945 1422400 1529080 1685600 1747520 1911350 1991360 2140712 2184400 2446528 2489200 2675890 3058160 3371200 3822700 4281424 4368800 4978400 5351780 6116320 6689725 7645400 8562848 8737600 9956800 10703560 12232640 13379450 15290800 17125696 21407120 26758900 30581600 42814240 53517800 61163200 85628480 107035600 214071200 428142400
- Sum of all divisors σ(n): 1263871488
- Sum of proper divisors (its aliquot sum) s(n): 835729088
- 428142400 is an abundant number, because the sum of its proper divisors (835729088) is greater than itself. Its abundance is 407586688
Bases of 428142400
- Binary: 110011000010011101111010000002
- Hexadecimal: 0x1984EF40
- Base-36: 72WKSG
Squares and roots of 428142400
- 428142400 squared (4281424002) is 183305914677760000
- 428142400 cubed (4281424003) is 78481034244331393024000000
-
The
square root of 428142400 is 20691.6021612633 -
The
cube root of 428142400 is 753.6957732479
Scales and comparisons
How big is 428142400?- 428,142,400 seconds is equal to 13 years, 31 weeks, 6 days, 8 hours, 26 minutes, 40 seconds.
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To count from 1 to 428,142,400 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 428142400 cubic inches would be around 62.8 feet tall.
Recreational maths with 428142400
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