828414000
828,414,000 is an even composite number composed of five prime numbers multiplied together.
828414000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 828414000:
24 × 33 × 53 × 232 × 29
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 23 × 23 × 29)See below for interesting mathematical facts about the number 828414000 from the Numbermatics database.
Names of 828414000
- Cardinal: 828414000 can be written as Eight hundred twenty-eight million, four hundred fourteen thousand.
Scientific notation
- Scientific notation: 8.28414 × 108
Factors of 828414000
Divisors of 828414000
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 29 30 36 40 45 46 48 50 54 58 60 69 72 75 80 87 90 92 100 108 115 116 120 125 135 138 144 145 150 174 180 184 200 207 216 225 230 232 240 250 261 270 276 290 300 345 348 360 368 375 400 414 432 435 450 460 464 500 522 529 540 552 575 580 600 621 667 675 690 696 720 725 750 783 828 870 900 920 1000 1035 1044 1058 1080 1104 1125 1150 1160 1200 1242 1305 1334 1350 1380 1392 1450 1500 1566 1587 1656 1725 1740 1800 1840 2000 2001 2070 2088 2116 2160 2175 2250 2300 2320 2484 2610 2645 2668 2700 2760 2875 2900 3000 3105 3132 3174 3312 3335 3375 3450 3480 3600 3625 3915 4002 4140 4176 4232 4350 4500 4600 4761 4968 5175 5220 5290 5336 5400 5520 5750 5800 6000 6003 6210 6264 6348 6525 6670 6750 6900 6960 7250 7830 7935 8004 8280 8464 8625 8700 9000 9200 9522 9936 10005 10350 10440 10580 10672 10800 10875 11500 11600 12006 12420 12528 12696 13050 13225 13340 13500 13800 14283 14500 15341 15525 15660 15870 16008 16560 16675 17250 17400 18000 18009 19044 19575 20010 20700 20880 21160 21750 23000 23805 24012 24840 25392 25875 26100 26450 26680 27000 27600 28566 29000 30015 30682 31050 31320 31740 32016 32625 33350 34500 34800 36018 38088 39150 39675 40020 41400 42320 43500 46000 46023 47610 48024 49680 50025 51750 52200 52900 53360 54000 57132 58000 60030 61364 62100 62640 63480 65250 66125 66700 69000 71415 72036 76176 76705 77625 78300 79350 80040 82800 83375 87000 90045 92046 95220 96048 97875 100050 103500 104400 105800 114264 119025 120060 122728 124200 126960 130500 132250 133400 138000 138069 142830 144072 150075 153410 155250 156600 158700 160080 166750 174000 180090 184092 190440 195750 198375 200100 207000 211600 228528 230115 238050 240120 245456 248400 250125 261000 264500 266800 276138 285660 288144 300150 306820 310500 313200 317400 333500 357075 360180 368184 380880 383525 391500 396750 400200 414000 414207 450225 460230 476100 480240 500250 522000 529000 552276 571320 595125 600300 613640 621000 634800 667000 690345 714150 720360 736368 750375 767050 783000 793500 800400 828414 900450 920460 952200 1000500 1058000 1104552 1142640 1150575 1190250 1200600 1227280 1242000 1334000 1380690 1428300 1440720 1500750 1534100 1566000 1587000 1656828 1785375 1800900 1840920 1904400 1917625 2001000 2071035 2209104 2251125 2301150 2380500 2401200 2761380 2856600 3001500 3068200 3174000 3313656 3451725 3570750 3601800 3681840 3835250 4002000 4142070 4502250 4602300 4761000 5522760 5713200 5752875 6003000 6136400 6627312 6903450 7141500 7203600 7670500 8284140 9004500 9204600 9522000 10355175 11045520 11505750 12006000 13806900 14283000 15341000 16568280 17258625 18009000 18409200 20710350 23011500 27613800 28566000 30682000 33136560 34517250 36018000 41420700 46023000 51775875 55227600 69034500 82841400 92046000 103551750 138069000 165682800 207103500 276138000 414207000 828414000
- Sum of all divisors σ(n): 3209169600
- Sum of proper divisors (its aliquot sum) s(n): 2380755600
- 828414000 is an abundant number, because the sum of its proper divisors (2380755600) is greater than itself. Its abundance is 1552341600
Bases of 828414000
- Binary: 1100010110000010011000001100002
- Hexadecimal: 0x31609830
- Base-36: DP7SC0
Squares and roots of 828414000
- 828414000 squared (8284140002) is 686269755396000000
- 828414000 cubed (8284140003) is 568515473146621944000000000
-
The
square root of 828414000 is 28782.1819881677 -
The
cube root of 828414000 is 939.1806652547
Scales and comparisons
How big is 828414000?- 828,414,000 seconds is equal to 26 years, 17 weeks, 5 days, 3 hours.
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To count from 1 to 828,414,000 would take you about thirty-nine 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 828414000 cubic inches would be around 78.3 feet tall.
Recreational maths with 828414000
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