421474964480000
421,474,964,480,000 is an even composite number composed of four prime numbers multiplied together.
421474964480000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred thirty divisors.
Prime factorization of 421474964480000:
213 × 54 × 432 × 2112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 43 × 43 × 211 × 211)See below for interesting mathematical facts about the number 421474964480000 from the Numbermatics database.
Names of 421474964480000
- Cardinal: 421474964480000 can be written as Four hundred twenty-one trillion, four hundred seventy-four billion, nine hundred sixty-four million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 4.2147496448 × 1014
Factors of 421474964480000
Divisors of 421474964480000
- Number of divisors d(n): 630
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 125 128 160 172 200 211 215 250 256 320 344 400 422 430 500 512 625 640 688 800 844 860 1000 1024 1055 1075 1250 1280 1376 1600 1688 1720 1849 2000 2048 2110 2150 2500 2560 2752 3200 3376 3440 3698 4000 4096 4220 4300 5000 5120 5275 5375 5504 6400 6752 6880 7396 8000 8192 8440 8600 9073 9245 10000 10240 10550 10750 11008 12800 13504 13760 14792 16000 16880 17200 18146 18490 20000 20480 21100 21500 22016 25600 26375 26875 27008 27520 29584 32000 33760 34400 36292 36980 40000 40960 42200 43000 44032 44521 45365 46225 51200 52750 53750 54016 55040 59168 64000 67520 68800 72584 73960 80000 84400 86000 88064 89042 90730 92450 102400 105500 107500 108032 110080 118336 128000 131875 135040 137600 145168 147920 160000 168800 172000 176128 178084 181460 184900 204800 211000 215000 216064 220160 222605 226825 231125 236672 256000 263750 270080 275200 290336 295840 320000 337600 344000 352256 356168 362920 369800 390139 422000 430000 432128 440320 445210 453650 462250 473344 512000 527500 540160 550400 580672 591680 640000 675200 688000 712336 725840 739600 780278 844000 860000 864256 880640 890420 907300 924500 946688 1024000 1055000 1080320 1100800 1113025 1134125 1155625 1161344 1183360 1280000 1350400 1376000 1424672 1451680 1479200 1560556 1688000 1720000 1728512 1761280 1780840 1814600 1849000 1893376 1914403 1950695 2110000 2160640 2201600 2226050 2268250 2311250 2322688 2366720 2560000 2700800 2752000 2849344 2903360 2958400 3121112 3376000 3440000 3561680 3629200 3698000 3786752 3828806 3901390 4220000 4321280 4403200 4452100 4536500 4622500 4645376 4733440 5120000 5401600 5504000 5565125 5670625 5698688 5806720 5916800 6242224 6752000 6880000 7123360 7258400 7396000 7573504 7657612 7802780 8440000 8642560 8806400 8904200 9073000 9245000 9290752 9466880 9572015 9753475 10803200 11008000 11130250 11341250 11397376 11613440 11833600 12484448 13504000 13760000 14246720 14516800 14792000 15147008 15315224 15605560 16880000 17808400 18146000 18490000 18581504 18933760 19144030 19506950 21606400 22016000 22260500 22682500 22794752 23226880 23667200 24968896 27008000 27520000 27825625 28493440 29033600 29584000 30630448 31211120 33760000 35616800 36292000 36980000 37163008 37867520 38288060 39013900 43212800 44032000 44521000 45365000 45589504 46453760 47334400 47860075 48767375 49937792 54016000 55040000 55651250 56986880 58067200 59168000 61260896 62422240 67520000 71233600 72584000 73960000 74326016 75735040 76576120 78027800 82319329 89042000 90730000 91179008 92907520 94668800 95720150 97534750 99875584 108032000 110080000 111302500 113973760 116134400 118336000 122521792 124844480 135040000 142467200 145168000 147920000 153152240 156055600 164638658 178084000 181460000 182358016 185815040 189337600 191440300 195069500 199751168 216064000 220160000 222605000 227947520 232268800 236672000 239300375 243836875 245043584 249688960 270080000 284934400 290336000 295840000 306304480 312111200 329277316 356168000 362920000 364716032 371630080 378675200 382880600 390139000 399502336 411596645 445210000 455895040 464537600 473344000 478600750 487673750 490087168 499377920 540160000 569868800 580672000 591680000 612608960 624222400 658554632 712336000 725840000 765761200 780278000 799004672 823193290 890420000 911790080 929075200 946688000 957201500 975347500 980174336 998755840 1080320000 1139737600 1161344000 1183360000 1196501875 1225217920 1248444800 1317109264 1424672000 1451680000 1531522400 1560556000 1598009344 1646386580 1780840000 1823580160 1858150400 1893376000 1914403000 1950695000 1960348672 1997511680 2057983225 2279475200 2322688000 2366720000 2393003750 2450435840 2496889600 2634218528 2849344000 2903360000 3063044800 3121112000 3196018688 3292773160 3561680000 3828806000 3901390000 3920697344 3995023360 4115966450 4558950400 4645376000 4733440000 4786007500 4900871680 4993779200 5268437056 5698688000 5806720000 6126089600 6242224000 6585546320 7123360000 7657612000 7802780000 7841394688 7990046720 8231932900 9117900800 9290752000 9466880000 9572015000 9801743360 9987558400 10289916125 10536874112 11397376000 11613440000 12252179200 12484448000 13171092640 14246720000 15315224000 15605560000 15682789376 15980093440 16463865800 19144030000 19603486720 19975116800 20579832250 21073748224 22794752000 23226880000 24504358400 24968896000 26342185280 28493440000 30630448000 31211120000 32927731600 38288060000 39206973440 39950233600 41159664500 42147496448 45589504000 46453760000 49008716800 49937792000 51449580625 52684370560 56986880000 61260896000 62422240000 65855463200 76576120000 78413946880 79900467200 82319329000 84294992896 98017433600 99875584000 102899161250 105368741120 113973760000 122521792000 124844480000 131710926400 153152240000 164638658000 168589985792 196034867200 199751168000 205798322500 210737482240 227947520000 245043584000 249688960000 263421852800 306304480000 329277316000 337179971584 392069734400 399502336000 411596645000 421474964480 490087168000 499377920000 526843705600 612608960000 658554632000 674359943168 823193290000 842949928960 980174336000 998755840000 1053687411200 1225217920000 1317109264000 1646386580000 1685899857920 1960348672000 1997511680000 2107374822400 2450435840000 2634218528000 3292773160000 3371799715840 4214749644800 4900871680000 5268437056000 6585546320000 8429499289600 9801743360000 10536874112000 13171092640000 16858998579200 21073748224000 26342185280000 42147496448000 52684370560000 84294992896000 105368741120000 210737482240000 421474964480000
- Sum of all divisors σ(n): 1083485500941987
- Sum of proper divisors (its aliquot sum) s(n): 662010536461987
- 421474964480000 is an abundant number, because the sum of its proper divisors (662010536461987) is greater than itself. Its abundance is 240535571981987
Bases of 421474964480000
- Binary: 10111111101010100010010011000101000100000000000002
- Hexadecimal: 0x17F54498A2000
- Base-36: 45EEXBOUM8
Squares and roots of 421474964480000
- 421474964480000 squared (4214749644800002) is 177641145683417261670400000000
- 421474964480000 cubed (4214749644800003) is 74871295567104795687550705467392000000000000
-
The
square root of 421474964480000 is 20529855.4422577463 -
The
cube root of 421474964480000 is 74976.2866945859
Scales and comparisons
How big is 421474964480000?- 421,474,964,480,000 seconds is equal to 13,401,600 years, 8 weeks, 3 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 421,474,964,480,000 would take you about thirty-three million, five hundred four thousand 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 421474964480000 cubic inches would be around 6248 feet tall.
Recreational maths with 421474964480000
- 421474964480000 backwards is 000084469474124
- The number of decimal digits it has is: 15
- The sum of 421474964480000's digits is 53
- More coming soon!
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