428371200
428,371,200 is an even composite number composed of five prime numbers multiplied together.
428371200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 428371200:
28 × 33 × 52 × 37 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 37 × 67)See below for interesting mathematical facts about the number 428371200 from the Numbermatics database.
Names of 428371200
- Cardinal: 428371200 can be written as Four hundred twenty-eight million, three hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.283712 × 108
Factors of 428371200
Divisors of 428371200
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 37 40 45 48 50 54 60 64 67 72 74 75 80 90 96 100 108 111 120 128 134 135 144 148 150 160 180 185 192 200 201 216 222 225 240 256 268 270 288 296 300 320 333 335 360 370 384 400 402 432 444 450 480 536 540 555 576 592 600 603 640 666 670 675 720 740 768 800 804 864 888 900 925 960 999 1005 1072 1080 1110 1152 1184 1200 1206 1280 1332 1340 1350 1440 1480 1600 1608 1665 1675 1728 1776 1800 1809 1850 1920 1998 2010 2144 2160 2220 2304 2368 2400 2412 2479 2664 2680 2700 2775 2880 2960 3015 3200 3216 3330 3350 3456 3552 3600 3618 3700 3840 3996 4020 4288 4320 4440 4736 4800 4824 4958 4995 5025 5328 5360 5400 5550 5760 5920 6030 6400 6432 6660 6700 6912 7104 7200 7236 7400 7437 7992 8040 8325 8576 8640 8880 9045 9472 9600 9648 9916 9990 10050 10656 10720 10800 11100 11520 11840 12060 12395 12864 13320 13400 14208 14400 14472 14800 14874 15075 15984 16080 16650 17152 17280 17760 18090 19200 19296 19832 19980 20100 21312 21440 21600 22200 22311 23680 24120 24790 24975 25728 26640 26800 28416 28800 28944 29600 29748 30150 31968 32160 33300 34560 35520 36180 37185 38592 39664 39960 40200 42624 42880 43200 44400 44622 45225 47360 48240 49580 49950 51456 53280 53600 57600 57888 59200 59496 60300 61975 63936 64320 66600 66933 71040 72360 74370 77184 79328 79920 80400 85248 85760 86400 88800 89244 90450 96480 99160 99900 106560 107200 111555 115776 118400 118992 120600 123950 127872 128640 133200 133866 142080 144720 148740 154368 158656 159840 160800 172800 177600 178488 180900 185925 192960 198320 199800 213120 214400 223110 231552 236800 237984 241200 247900 255744 257280 266400 267732 289440 297480 317312 319680 321600 334665 355200 356976 361800 371850 385920 396640 399600 426240 428800 446220 463104 475968 482400 495800 532800 535464 557775 578880 594960 634624 639360 643200 669330 710400 713952 723600 743700 771840 793280 799200 892440 951936 964800 991600 1065600 1070928 1115550 1157760 1189920 1278720 1286400 1338660 1427904 1447200 1487400 1586560 1598400 1673325 1784880 1903872 1929600 1983200 2131200 2141856 2231100 2315520 2379840 2677320 2855808 2894400 2974800 3173120 3196800 3346650 3569760 3859200 3966400 4283712 4462200 4759680 5354640 5711616 5788800 5949600 6393600 6693300 7139520 7932800 8567424 8924400 9519360 10709280 11577600 11899200 13386600 14279040 15865600 17134848 17848800 21418560 23798400 26773200 28558080 35697600 42837120 47596800 53546400 71395200 85674240 107092800 142790400 214185600 428371200
- Sum of all divisors σ(n): 1637325760
- Sum of proper divisors (its aliquot sum) s(n): 1208954560
- 428371200 is an abundant number, because the sum of its proper divisors (1208954560) is greater than itself. Its abundance is 780583360
Bases of 428371200
- Binary: 110011000100001101101000000002
- Hexadecimal: 0x19886D00
- Base-36: 731HC0
Squares and roots of 428371200
- 428371200 squared (4283712002) is 183501884989440000
- 428371200 cubed (4283712003) is 78606922675188400128000000
-
The
square root of 428371200 is 20697.1302358565 -
The
cube root of 428371200 is 753.8300080909
Scales and comparisons
How big is 428371200?- 428,371,200 seconds is equal to 13 years, 32 weeks, 2 days.
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To count from 1 to 428,371,200 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 428371200 cubic inches would be around 62.8 feet tall.
Recreational maths with 428371200
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