4426142841446004
4,426,142,841,446,004 is an even composite number composed of five prime numbers multiplied together.
What does the number 4426142841446004 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1764 divisors.
4426142841446004 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty-four divisors.
Prime factorization of 4426142841446004:
22 × 36 × 76 × 232 × 293
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 23 × 23 × 29 × 29 × 29)See below for interesting mathematical facts about the number 4426142841446004 from the Numbermatics database.
Names of 4426142841446004
- Cardinal: 4426142841446004 can be written as Four quadrillion, four hundred twenty-six trillion, one hundred forty-two billion, eight hundred forty-one million, four hundred forty-six thousand and four.
Scientific notation
- Scientific notation: 4.426142841446004 × 1015
Factors of 4426142841446004
Divisors of 4426142841446004
- Number of divisors d(n): 1764
-
Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 23 27 28 29 36 42 46 49 54 58 63 69 81 84 87 92 98 108 116 126 138 147 161 162 174 189 196 203 207 243 252 261 276 294 322 324 343 348 378 406 414 441 483 486 522 529 567 588 609 621 644 667 686 729 756 783 812 828 841 882 966 972 1029 1044 1058 1127 1134 1218 1242 1323 1334 1372 1421 1449 1458 1566 1587 1682 1701 1764 1827 1863 1932 2001 2058 2116 2254 2268 2349 2401 2436 2484 2523 2646 2668 2842 2898 2916 3087 3132 3174 3364 3381 3402 3654 3703 3726 3969 4002 4116 4263 4347 4508 4669 4698 4761 4802 5046 5103 5292 5481 5589 5684 5796 5887 6003 6174 6348 6762 6804 7047 7203 7308 7406 7452 7569 7889 7938 8004 8526 8694 9261 9338 9396 9522 9604 9947 10092 10143 10206 10962 11109 11178 11774 11907 12006 12348 12789 13041 13524 14007 14094 14283 14406 14812 15138 15341 15778 15876 16443 16767 16807 17052 17388 17661 18009 18522 18676 19044 19343 19894 20286 20412 21141 21609 21924 22218 22356 22707 23548 23667 23814 24012 24389 25578 25921 26082 27783 28014 28188 28566 28812 29841 30276 30429 30682 31556 32683 32886 33327 33534 33614 35322 35721 36018 37044 38367 38686 39123 39788 40572 41209 42021 42282 42849 43218 44436 45414 46023 47334 47628 48778 49329 50421 51156 51842 52164 52983 54027 55223 55566 56028 57132 58029 59682 60858 61364 64827 65366 65772 66654 67068 67228 68121 69629 70644 71001 71442 72036 73167 76734 77372 77763 78246 82418 83349 84042 84564 85698 86436 89523 90828 91287 92046 94668 97556 98049 98658 99981 100842 103684 105966 107387 108054 110446 111132 115101 116058 117369 117649 119364 121716 123627 126063 128547 129654 130732 133308 135401 136242 138069 139258 142002 142884 146334 147987 151263 153468 155526 156492 158949 162081 164836 165669 166698 168084 170723 171396 174087 179046 181447 182574 184092 194481 196098 197316 199962 201684 204363 208887 211932 213003 214774 216108 219501 220892 228781 230202 232116 233289 234738 235298 247254 250047 252126 257094 259308 268569 270802 272484 273861 276138 278516 284004 288463 292668 294147 295974 299943 302526 311052 317898 322161 324162 331338 333396 341446 345303 348174 352947 358092 362894 365148 370881 378189 385641 386561 388962 392196 399924 406203 408726 414207 417774 426006 429548 439002 444889 453789 457562 460404 466578 469476 470596 476847 486243 487403 494508 497007 500094 504252 512169 514188 522261 537138 541604 544341 547722 552276 560947 576926 583443 588294 591948 599886 605052 613089 626661 635796 639009 644322 648324 658503 662676 682892 686343 690606 696348 699867 705894 725788 741762 751709 756378 771282 773122 777924 805707 812406 817452 821583 828414 835548 852012 865389 878004 882441 889778 899829 907578 915124 933156 947807 953694 966483 972486 974806 994014 1000188 1024338 1035909 1044522 1058841 1074276 1088682 1095444 1112643 1121894 1134567 1153852 1159683 1166886 1176588 1195061 1199772 1218609 1226178 1242621 1253322 1270129 1278018 1288644 1317006 1334667 1361367 1372686 1381212 1399734 1411788 1430541 1462209 1483524 1491021 1503418 1512756 1536507 1542564 1546244 1566783 1601467 1611414 1624812 1633023 1643166 1656828 1682841 1730778 1750329 1764882 1779556 1799658 1815156 1879983 1895614 1907388 1917027 1932966 1944972 1949612 1975509 1988028 2019241 2048676 2059029 2071818 2089044 2099601 2117682 2177364 2225286 2243788 2255127 2269134 2319366 2333772 2390122 2417121 2437218 2452356 2485242 2506644 2540258 2556036 2596167 2634012 2647323 2669334 2699487 2705927 2722734 2745372 2799468 2843421 2861082 2899449 2924418 2982042 3006836 3073014 3114223 3133566 3176523 3202934 3222828 3266046 3286332 3337929 3365682 3403701 3411821 3461556 3479049 3500658 3529764 3585183 3599316 3655827 3727863 3759966 3791228 3810387 3834054 3865932 3926629 3951018 4004001 4038482 4084101 4118058 4143636 4199202 4235364 4291623 4386627 4450572 4473063 4510254 4538268 4609521 4638732 4700349 4780244 4804401 4834242 4874436 4899069 4970484 5048523 5080516 5192334 5261963 5294646 5338668 5398974 5411854 5445468 5639949 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1884266854596 1951562099403 1963683603126 2091749925069 2150701089138 2211965438004 2290964203647 2375814729708 2422628813052 2509151270661 2602082799204 2631476124522 2788999900092 2826400281894 3035763265738 3054618938196 3114808473924 3226051633707 3317948157006 3345535027548 3563722094562 3633943219578 3903124198806 3927367206252 4183499850138 4239600422841 4301402178276 4553644898607 4581928407294 5018302541322 5262952249044 5345583141843 5450914829367 5652800563788 5854686298209 6071526531476 6452103267414 6635896314012 6872892610941 7127444189124 7267886439156 7527453811983 7806248397612 8366999700276 8479200845682 9107289797214 9163856814588 10036605082644 10691166283686 10901829658734 11709372596418 12718801268523 12904206534828 13660934695821 13745785221882 15054907623966 16036749425529 16958401691364 17564058894627 18214579594428 21382332567372 21803659317468 22582361435949 23418745192836 25437602537046 27321869391642 27491570443764 30109815247932 32073498851058 35128117789254 38156403805569 40982804087463 45164722871898 48110248276587 50875205074092 52692176683881 54643738783284 64146997702116 70256235578508 76312807611138 81965608174926 90329445743796 96220496553174 105384353367762 122948412262389 152625615222276 158076530051643 163931216349852 192440993106348 210768706735524 245896824524778 316153060103286 368845236787167 491793649049556 632306120206572 737690473574334 1106535710361501 1475380947148668 2213071420723002 4426142841446004
- Sum of all divisors σ(n): 14669360511755460
- Sum of proper divisors (its aliquot sum) s(n): 10243217670309456
- 4426142841446004 is an abundant number, because the sum of its proper divisors (10243217670309456) is greater than itself. Its abundance is 5817074828863452
Bases of 4426142841446004
- Binary: 11111011100110001101101011111100101000011110011101002
- Hexadecimal: 0xFB98DAFCA1E74
- Base-36: 17KXPY86B90
Squares and roots of 4426142841446004
- 4426142841446004 squared (44261428414460042) is 19590740452883706104513647568016
- 4426142841446004 cubed (44261428414460043) is 86711415614157862184989023427408583843381408064
-
The
square root of 4426142841446004 is 66529263.0460161045 -
The
cube root of 4426142841446004 is 164188.1496361905
Scales and comparisons
How big is 4426142841446004?- 4,426,142,841,446,004 seconds is equal to 140,737,651 years, 20 weeks, 5 days, 7 hours, 53 minutes, 24 seconds.
-
To count from 1 to 4,426,142,841,446,004 would take you about four hundred twenty-two million, two hundred twelve thousand, nine hundred fifty-four 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 4426142841446004 cubic inches would be around 13682.3 feet tall.
Recreational maths with 4426142841446004
- 4426142841446004 backwards is 4006441482416244
- 4426142841446004 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 4426142841446004's digits is 54
- More coming soon!
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"Number 4426142841446004 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 4426142841446004 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/4426142841446004/
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The information we have on file for 4426142841446004 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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