428214819301097472
428,214,819,301,097,472 is an even composite number composed of five prime numbers multiplied together.
428214819301097472 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 428214819301097472:
234 × 32 × 7 × 172 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 17 × 37 × 37)See below for interesting mathematical facts about the number 428214819301097472 from the Numbermatics database.
Names of 428214819301097472
- Cardinal: 428214819301097472 can be written as Four hundred twenty-eight quadrillion, two hundred fourteen trillion, eight hundred nineteen billion, three hundred one million, ninety-seven thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 4.28214819301097472 × 1017
Factors of 428214819301097472
Divisors of 428214819301097472
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 37 42 48 51 56 63 64 68 72 74 84 96 102 111 112 119 126 128 136 144 148 153 168 192 204 222 224 238 252 256 259 272 288 289 296 306 333 336 357 384 408 444 448 476 504 512 518 544 576 578 592 612 629 666 672 714 768 777 816 867 888 896 952 1008 1024 1036 1071 1088 1152 1156 1184 1224 1258 1332 1344 1369 1428 1536 1554 1632 1734 1776 1792 1887 1904 2016 2023 2048 2072 2142 2176 2304 2312 2331 2368 2448 2516 2601 2664 2688 2738 2856 3072 3108 3264 3468 3552 3584 3774 3808 4032 4046 4096 4107 4144 4284 4352 4403 4608 4624 4662 4736 4896 5032 5202 5328 5376 5476 5661 5712 6069 6144 6216 6528 6936 7104 7168 7548 7616 8064 8092 8192 8214 8288 8568 8704 8806 9216 9248 9324 9472 9583 9792 10064 10404 10656 10693 10752 10952 11322 11424 12138 12288 12321 12432 13056 13209 13872 14208 14336 15096 15232 16128 16184 16384 16428 16576 17136 17408 17612 18207 18432 18496 18648 18944 19166 19584 20128 20808 21312 21386 21504 21904 22644 22848 23273 24276 24576 24642 24864 26112 26418 27744 28416 28672 28749 30192 30464 32079 32256 32368 32768 32856 33152 34272 34816 35224 36414 36864 36992 37296 37888 38332 39168 39627 40256 41616 42624 42772 43008 43808 45288 45696 46546 48552 49152 49284 49728 52224 52836 55488 56832 57344 57498 60384 60928 64158 64512 64736 65536 65712 66304 68544 69632 69819 70448 72828 73728 73984 74592 74851 75776 76664 78336 79254 80512 83232 85248 85544 86016 86247 87616 90576 91392 93092 96237 97104 98304 98568 99456 104448 105672 110976 113664 114688 114996 120768 121856 128316 129024 129472 131072 131424 132608 137088 139264 139638 140896 145656 147456 147968 149184 149702 151552 153328 156672 158508 161024 162911 166464 170496 171088 172032 172494 175232 181152 182784 186184 192474 194208 196608 197136 198912 208896 209457 211344 221952 224553 227328 229376 229992 241536 243712 256632 258048 258944 262144 262848 265216 274176 278528 279276 281792 291312 294912 295936 298368 299404 303104 306656 313344 317016 322048 325822 332928 340992 342176 344064 344988 350464 362304 365568 372368 384948 388416 393216 394272 395641 397824 417792 418914 422688 443904 449106 454656 458752 459984 483072 487424 488733 513264 516096 517888 524288 525696 530432 548352 557056 558552 563584 582624 589824 591872 596736 598808 606208 613312 626688 634032 644096 651644 665856 673659 681984 684352 688128 689976 700928 724608 731136 744736 769896 776832 786432 788544 791282 795648 835584 837828 845376 887808 898212 909312 917504 919968 966144 974848 977466 1026528 1032192 1035776 1048576 1051392 1060864 1096704 1114112 1117104 1127168 1165248 1179648 1183744 1186923 1193472 1197616 1212416 1226624 1253376 1268064 1288192 1303288 1331712 1347318 1363968 1368704 1376256 1379952 1401856 1449216 1462272 1466199 1489472 1539792 1553664 1572864 1577088 1582564 1591296 1671168 1675656 1690752 1775616 1796424 1818624 1835008 1839936 1932288 1949696 1954932 2053056 2064384 2071552 2097152 2102784 2121728 2193408 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321482597072896 340393338077184 349848708579328 361667921707008 370428044378112 371714252865536 393579797151744 399827095519232 413334767665152 418178534473728 424816288989184 449805482459136 477918325112832 482223895609344 493904059170816 524773062868992 551113023553536 557571379298304 599740643278848 637224433483776 642965194145792 680786676154368 699697417158656 723335843414016 740856088756224 743428505731072 787159594303488 826669535330304 836357068947456 849632577978368 899610964918272 955836650225664 964447791218688 1049546125737984 1115142758596608 1199481286557696 1274448866967552 1285930388291584 1399394834317312 1446671686828032 1481712177512448 1486857011462144 1574319188606976 1653339070660608 1672714137894912 1699265155956736 1799221929836544 1911673300451328 1928895582437376 2099092251475968 2230285517193216 2548897733935104 2798789668634624 2893343373656064 2973714022924288 3148638377213952 3345428275789824 3398530311913472 3598443859673088 3823346600902656 3857791164874752 4198184502951936 4460571034386432 5097795467870208 5786686747312128 5947428045848576 6297276754427904 6690856551579648 6797060623826944 7646693201805312 8396369005903872 8921142068772864 10195590935740416 11573373494624256 11894856091697152 12594553508855808 13381713103159296 15293386403610624 17842284137545728 20391181871480832 23789712183394304 25189107017711616 26763426206318592 30586772807221248 35684568275091456 47579424366788608 53526852412637184 61173545614442496 71369136550182912 107053704825274368 142738273100365824 214107409650548736 428214819301097472
- Sum of all divisors σ(n): 1543532081300277432
- Sum of proper divisors (its aliquot sum) s(n): 1115317261999179960
- 428214819301097472 is an abundant number, because the sum of its proper divisors (1115317261999179960) is greater than itself. Its abundance is 687102442698082488
Bases of 428214819301097472
- Binary: 101111100010101001100011100000000000000000000000000000000002
- Hexadecimal: 0x5F1531C00000000
- Base-36: 394DHG8WVLS0
Squares and roots of 428214819301097472
- 428214819301097472 squared (4282148193010974722) is 183367931469071560038334823644790784
- 428214819301097472 cubed (4282148193010974723) is 78520865639644502791069872483089844352440427031298048
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The
square root of 428214819301097472 is 654381249.1973600797 -
The
cube root of 428214819301097472 is 753738.2661535223
Scales and comparisons
How big is 428214819301097472?- 428,214,819,301,097,472 seconds is equal to 13,615,906,698 years, 19 weeks, 2 days, 3 hours, 31 minutes, 12 seconds.
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To count from 1 to 428,214,819,301,097,472 would take you about forty billion, eight hundred forty-seven million, seven hundred twenty thousand and ninety-five 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 428214819301097472 cubic inches would be around 62811.5 feet tall.
Recreational maths with 428214819301097472
- 428214819301097472 backwards is 274790103918412824
- 428214819301097472 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428214819301097472's digits is 72
- More coming soon!
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The information we have on file for 428214819301097472 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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