428079680
428,079,680 is an even composite number composed of five prime numbers multiplied together.
428079680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 428079680:
26 × 5 × 72 × 23 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 23 × 1187)See below for interesting mathematical facts about the number 428079680 from the Numbermatics database.
Names of 428079680
- Cardinal: 428079680 can be written as Four hundred twenty-eight million, seventy-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.2807968 × 108
Factors of 428079680
Divisors of 428079680
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 49 56 64 70 80 92 98 112 115 140 160 161 184 196 224 230 245 280 320 322 368 392 448 460 490 560 644 736 784 805 920 980 1120 1127 1187 1288 1472 1568 1610 1840 1960 2240 2254 2374 2576 3136 3220 3680 3920 4508 4748 5152 5635 5935 6440 7360 7840 8309 9016 9496 10304 11270 11870 12880 15680 16618 18032 18992 22540 23740 25760 27301 33236 36064 37984 41545 45080 47480 51520 54602 58163 66472 72128 75968 83090 90160 94960 109204 116326 132944 136505 166180 180320 189920 191107 218408 232652 265888 273010 290815 332360 360640 379840 382214 436816 465304 531776 546020 581630 664720 764428 873632 930608 955535 1092040 1163260 1329440 1337749 1528856 1747264 1861216 1911070 2184080 2326520 2658880 2675498 3057712 3722432 3822140 4368160 4653040 5350996 6115424 6688745 7644280 8736320 9306080 10701992 12230848 13377490 15288560 18612160 21403984 26754980 30577120 42807968 53509960 61154240 85615936 107019920 214039840 428079680
- Sum of all divisors σ(n): 1238390208
- Sum of proper divisors (its aliquot sum) s(n): 810310528
- 428079680 is an abundant number, because the sum of its proper divisors (810310528) is greater than itself. Its abundance is 382230848
Bases of 428079680
- Binary: 110011000001111111010010000002
- Hexadecimal: 0x1983FA40
- Base-36: 72V8E8
Squares and roots of 428079680
- 428079680 squared (4280796802) is 183252212428902400
- 428079680 cubed (4280796803) is 78446548455856562143232000
-
The
square root of 428079680 is 20690.0865150439 -
The
cube root of 428079680 is 753.6589676527
Scales and comparisons
How big is 428079680?- 428,079,680 seconds is equal to 13 years, 31 weeks, 5 days, 15 hours, 1 minute, 20 seconds.
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To count from 1 to 428,079,680 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 428079680 cubic inches would be around 62.8 feet tall.
Recreational maths with 428079680
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