428107026816
428,107,026,816 is an even composite number composed of six prime numbers multiplied together.
428107026816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 428107026816:
27 × 35 × 7 × 23 × 53 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 23 × 53 × 1613)See below for interesting mathematical facts about the number 428107026816 from the Numbermatics database.
Names of 428107026816
- Cardinal: 428107026816 can be written as Four hundred twenty-eight billion, one hundred seven million, twenty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.28107026816 × 1011
Factors of 428107026816
Divisors of 428107026816
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 53 54 56 63 64 69 72 81 84 92 96 106 108 112 126 128 138 144 159 161 162 168 184 189 192 207 212 216 224 243 252 276 288 318 322 324 336 368 371 378 384 414 424 432 448 477 483 486 504 552 567 576 621 636 644 648 672 736 742 756 828 848 864 896 954 966 972 1008 1104 1113 1134 1152 1219 1242 1272 1288 1296 1344 1431 1449 1472 1484 1512 1613 1656 1696 1701 1728 1863 1908 1932 1944 2016 2208 2226 2268 2438 2484 2544 2576 2592 2688 2862 2898 2944 2968 3024 3226 3312 3339 3392 3402 3456 3657 3726 3816 3864 3888 4032 4293 4347 4416 4452 4536 4839 4876 4968 5088 5152 5184 5589 5724 5796 5936 6048 6452 6624 6678 6784 6804 7314 7452 7632 7728 7776 8064 8533 8586 8694 8832 8904 9072 9678 9752 9936 10017 10176 10304 10368 10971 11178 11291 11448 11592 11872 12096 12879 12904 13041 13248 13356 13608 14517 14628 14904 15264 15456 15552 17066 17172 17388 17808 18144 19356 19504 19872 20034 20352 20608 21942 22356 22582 22896 23184 23744 24192 25599 25758 25808 26082 26496 26712 27216 29034 29256 29808 30051 30528 30912 31104 32913 33873 34132 34344 34776 35616 36288 37099 38712 39008 39123 39744 40068 43551 43884 44712 45164 45792 46368 47488 51198 51516 51616 52164 53424 54432 58068 58512 59616 60102 61056 61824 65826 67746 68264 68688 69552 71232 72576 74198 76797 77424 78016 78246 79488 80136 85489 87102 87768 89424 90153 90328 91584 92736 98739 101619 102396 103032 103232 104328 106848 108864 111297 116136 117024 119232 120204 130653 131652 135492 136528 137376 139104 142464 148396 153594 154848 156032 156492 160272 170978 174204 175536 178848 180306 180656 183168 185472 197478 203238 204792 206064 206464 208656 213696 217728 222594 230391 232272 234048 238464 240408 256467 259693 261306 263304 270984 273056 274752 278208 296217 296792 304857 307188 309696 312984 320544 333891 341956 348408 351072 357696 360612 361312 391959 394956 406476 409584 412128 417312 427392 445188 460782 464544 468096 480816 512934 519386 522612 526608 541968 546112 549504 556416 592434 593584 598423 609714 614376 619392 625968 641088 667782 683912 691173 696816 702144 715392 721224 722624 769401 779079 783918 789912 812952 819168 824256 834624 890376 914571 921564 929088 961632 1001673 1025868 1038772 1045224 1053216 1083936 1092224 1184868 1187168 1196846 1219428 1228752 1251936 1282176 1335564 1367824 1382346 1393632 1404288 1442448 1445248 1538802 1558158 1567836 1579824 1625904 1638336 1648512 1669248 1780752 1795269 1829142 1843128 1858176 1923264 1966247 2003346 2051736 2073519 2077544 2090448 2106432 2167872 2308203 2337237 2369736 2374336 2393692 2438856 2457504 2503872 2671128 2735648 2743713 2764692 2787264 2884896 3005019 3077604 3116316 3135672 3159648 3251808 3276672 3561504 3590538 3658284 3686256 3846528 3932494 4006692 4103472 4147038 4155088 4180896 4212864 4335744 4616406 4674474 4739472 4748672 4787384 4877712 4915008 5007744 5342256 5385807 5471296 5487426 5529384 5574528 5769792 5898741 6010038 6155208 6232632 6271344 6319296 6503616 6924609 7011711 7123008 7181076 7316568 7372512 7864988 8013384 8206944 8294076 8310176 8361792 9015057 9232812 9348948 9478944 9574768 9755424 9830016 10684512 10771614 10942592 10974852 11058768 11539584 11797482 12020076 12310416 12465264 12542688 12638592 13007232 13763729 13849218 14023422 14246016 14362152 14633136 14745024 15729976 16026768 16157421 16413888 16588152 16620352 16723584 17696223 18030114 18465624 18697896 18957888 19149536 19510848 20773827 21035133 21369024 21543228 21949704 22117536 23594964 24040152 24620832 24930528 25085376 27527458 27698436 28046844 28724304 29266272 29490048 31459952 32053536 32314842 32827776 33176304 33240704 35392446 36060228 36931248 37395792 37915776 38299072 39021696 41291187 41547654 42070266 42738048 43086456 43899408 44235072 47189928 48080304 48472263 49241664 49861056 50170752 53088669 55054916 55396872 56093688 57448608 58532544 62919904 63105399 64107072 64629684 66352608 70784892 72120456 73862496 74791584 76598144 82582374 83095308 84140532 86172912 87798816 88470144 94379856 96160608 96944526 98483328 99722112 106177338 110109832 110793744 112187376 114897216 117065088 123873561 125839808 126210798 128214144 129259368 132705216 141569784 144240912 145416789 147724992 149583168 159266007 165164748 166190616 168281064 172345824 175597632 188759712 192321216 193889052 212354676 220219664 221587488 224374752 229794432 247747122 251679616 252421596 258518736 265410432 283139568 288481824 290833578 295449984 299166336 318532014 330329496 332381232 336562128 344691648 351195264 371620683 377519424 384642432 387778104 424709352 440439328 443174976 448749504 477798021 495494244 504843192 517037472 566279136 576963648 581667156 637064028 660658992 664762464 673124256 689383296 743241366 755038848 775556208 849418704 880878656 886349952 897499008 955596042 990988488 1009686384 1034074944 1114862049 1132558272 1153927296 1163334312 1274128056 1321317984 1329524928 1346248512 1486482732 1551112416 1698837408 1761757312 1911192084 1981976976 2019372768 2068149888 2229724098 2265116544 2326668624 2548256112 2642635968 2659049856 2692497024 2972965464 3102224832 3344586147 3397674816 3822384168 3963953952 4038745536 4459448196 4653337248 5096512224 5285271936 5945930928 6204449664 6689172294 6795349632 7644768336 7927907904 8077491072 8918896392 9306674496 10193024448 11891861856 13378344588 15289536672 15855815808 17837792784 18613348992 20386048896 23783723712 26756689176 30579073344 35675585568 47567447424 53513378352 61158146688 71351171136 107026756704 142702342272 214053513408 428107026816
- Sum of all divisors σ(n): 1553245424640
- Sum of proper divisors (its aliquot sum) s(n): 1125138397824
- 428107026816 is an abundant number, because the sum of its proper divisors (1125138397824) is greater than itself. Its abundance is 697031371008
Bases of 428107026816
- Binary: 1100011101011010010101011010001100000002
- Hexadecimal: 0x63AD2AD180
- Base-36: 5GO3VC00
Squares and roots of 428107026816
- 428107026816 squared (4281070268162) is 183275626409235343097856
- 428107026816 cubed (4281070268163) is 78461583509897712817648799104106496
-
The
square root of 428107026816 is 654298.8818697461 -
The
cube root of 428107026816 is 7536.7501585995
Scales and comparisons
How big is 428107026816?- 428,107,026,816 seconds is equal to 13,612 years, 24 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 428,107,026,816 would take you about twenty-seven thousand, two hundred twenty-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 428107026816 cubic inches would be around 628.1 feet tall.
Recreational maths with 428107026816
- 428107026816 backwards is 618620701824
- The number of decimal digits it has is: 12
- The sum of 428107026816's digits is 45
- More coming soon!
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The information we have on file for 428107026816 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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