428366827796096
428,366,827,796,096 is an even composite number composed of six prime numbers multiplied together.
What does the number 428366827796096 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
428366827796096 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 428366827796096:
27 × 73 × 172 × 19 × 312 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 17 × 17 × 19 × 31 × 31 × 43 × 43)See below for interesting mathematical facts about the number 428366827796096 from the Numbermatics database.
Names of 428366827796096
- Cardinal: 428366827796096 can be written as Four hundred twenty-eight trillion, three hundred sixty-six billion, eight hundred twenty-seven million, seven hundred ninety-six thousand and ninety-six.
Scientific notation
- Scientific notation: 4.28366827796096 × 1014
Factors of 428366827796096
Divisors of 428366827796096
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 8 14 16 17 19 28 31 32 34 38 43 49 56 62 64 68 76 86 98 112 119 124 128 133 136 152 172 196 217 224 238 248 266 272 289 301 304 323 343 344 392 434 448 476 496 527 532 544 578 589 602 608 646 686 688 731 784 817 833 868 896 931 952 961 992 1054 1064 1088 1156 1178 1204 1216 1292 1333 1372 1376 1462 1519 1568 1634 1666 1736 1849 1862 1904 1922 1984 2023 2107 2108 2128 2176 2261 2312 2356 2408 2432 2584 2666 2744 2752 2924 3038 3136 3268 3332 3472 3689 3698 3724 3808 3844 3968 4046 4123 4214 4216 4256 4522 4624 4712 4816 5117 5168 5332 5488 5491 5504 5719 5831 5848 6076 6272 6517 6536 6664 6727 6944 7378 7396 7448 7616 7688 8092 8246 8428 8432 8512 8959 9044 9248 9331 9424 9632 10013 10234 10336 10633 10664 10976 10982 11438 11662 11696 12152 12427 12943 13034 13072 13328 13454 13888 13889 14161 14749 14756 14792 14896 15232 15376 15827 16184 16337 16492 16856 16864 17024 17918 18088 18259 18496 18662 18848 19264 20026 20468 20672 21266 21328 21952 21964 22661 22876 23324 23392 24304 24854 25327 25823 25886 26068 26144 26656 26908 27776 27778 28322 28861 29498 29512 29584 29792 30752 31433 31654 32368 32674 32984 33712 33728 35131 35819 35836 36176 36518 36992 37324 37696 38437 38528 40033 40052 40936 41323 41344 42532 42656 43904 43928 45322 45752 46648 46784 47089 48608 49708 50654 51646 51772 52136 52288 53312 53816 55556 56644 57319 57722 58996 59024 59168 59584 61504 62713 62866 63308 64736 65317 65348 65968 67424 67456 70091 70262 71638 71672 72352 73036 74648 75392 76874 80066 80104 81872 82646 85064 85312 86989 87856 90601 90644 91504 93296 93568 94178 97216 97223 99127 99416 101308 103292 103544 104272 104576 106624 107632 110789 111112 113288 114359 114638 115444 117992 118048 118336 119168 123008 125426 125732 126616 127813 129472 130634 130696 131936 134848 140182 140524 143276 143344 144704 146072 149296 153748 158627 160132 160208 163744 165292 170128 170221 170624 173978 175712 177289 180761 181202 181288 183008 186592 188356 194432 194446 198254 198832 202027 202616 206584 207088 208544 215264 220031 221578 222224 226576 228718 229276 230888 235984 236096 236113 236672 245917 250733 250852 251464 253232 255626 258944 261268 261392 263872 269059 269696 277729 280231 280364 281048 286552 286688 289261 289408 292144 298592 307496 310403 317254 320264 320416 327488 329623 330584 340256 340442 347956 351424 354578 361522 362404 362576 366016 373184 376712 385237 388892 396508 397664 401233 404054 405232 413168 414176 417088 430528 430559 438991 440062 443156 444448 453152 457219 457436 458552 461776 471968 472192 472226 490637 491834 501466 501704 502928 506464 511252 522536 522784 527744 534361 538118 555458 560462 560728 562096 573104 573376 578522 584288 597184 597227 608923 614992 620806 634207 634508 640528 640832 654976 659246 661168 680512 680561 680884 695912 702491 702848 709156 723044 724808 725152 732032 746368 753424 770474 777784 785137 793016 795328 800513 802466 808108 810464 826336 828352 834176 861056 861118 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382155104 385597856 385780864 393335936 398023136 400821568 409697722 409892168 418939024 422899582 425872916 426911912 427114528 435479072 436541504 439610752 453561248 453809186 463825348 467086424 468225968 468448192 472652474 478787456 481908826 483313808 486711904 487899328 497454272 497490091 513520921 517131398 518393036 528545164 530086112 533813056 535115392 538603982 540174256 545595008 550752944 555978304 568560104 573935147 585175003 590726948 591007312 592449184 604051616 609472927 609782656 615547408 629133344 629431936 629477258 647894072 649782976 654019121 668454178 668771432 675116512 675436928 690017216 696540488 703482752 717259648 717311294 733143292 740450368 747095846 747450424 762088376 763947632 764310208 771195712 796046272 801643136 811694359 819395444 819784336 837878048 845799164 851745832 853823824 854229056 870958144 873083008 907122496 907187813 907618372 927650696 934172848 936451936 936896384 945304948 963817652 966627616 973423808 975798656 994908544 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32865338944 33096409472 34470654848 35250726448 36625070776 36731849408 37451200192 39006267328 39027589996 40169432464 40286544512 41444159036 41857223744 42781067392 44473300228 45454884104 45907922816 46319942452 47364753184 47814134144 50325050258 50802517528 50826628832 51948438976 52937077088 55718890192 56245644406 57514343152 57918716576 58060020032 61688771284 63678731648 64280736464 65539600336 65730677888 68298282493 70501452896 73250141552 73463698816 74902400384 77828275399 78012534656 78055179992 80338864928 82888318072 83714447488 88946600456 90909768208 92639884904 94729506368 100650100516 101605035056 101653257664 103896877952 105874154176 107955349747 111437780384 112491288812 115028686304 115837433152 116120040064 123377542568 128561472928 131079200672 136596564986 141002905792 146500283104 155656550798 156110359984 160677729856 165776636144 176137675903 177893200912 181819536416 185279769808 189459012736 196859755421 201300201032 203210070112 203306515328 211748308352 215910699494 222875560768 224982577624 230057372608 231674866304 246755085136 257122945856 262158401344 273193129972 282005811584 293000566208 311313101596 312220719968 321355459712 331553272288 352275351806 355786401824 363639072832 370559539616 393719510842 402600402064 406420140224 431821398988 445751121536 449965155248 460114745216 478087977451 493510170272 514245891712 524316802688 546386259944 586001132416 622626203192 624441439936 663106544576 704550703612 711572803648 727278145664 741119079232 787439021684 805200804128 812840280448 863642797976 899930310496 956175954902 987020340544 1092772519888 1245252406384 1248882879872 1326213089152 1409101407224 1423145607296 1482238158464 1574878043368 1610401608256 1727285595952 1799860620992 1912351909804 1974040681088 2185545039776 2490504812768 2818202814448 3149756086736 3220803216512 3346615842157 3454571191904 3599721241984 3824703819608 4371090079552 4981009625536 5636405628896 6299512173472 6693231684314 6909142383808 7649407639216 8742180159104 9962019251072 11272811257792 12599024346944 13386463368628 13818284767616 15298815278432 22545622515584 25198048693888 26772926737256 30597630556864 53545853474512 61195261113728 107091706949024 214183413898048 428366827796096
- Sum of all divisors σ(n): 1177249203720000
- Sum of proper divisors (its aliquot sum) s(n): 748882375923904
- 428366827796096 is an abundant number, because the sum of its proper divisors (748882375923904) is greater than itself. Its abundance is 320515548127808
Bases of 428366827796096
- Binary: 11000010110011000111011001001101010110110100000002
- Hexadecimal: 0x18598EC9AB680
- Base-36: 47UD055Z7K
Squares and roots of 428366827796096
- 428366827796096 squared (4283668277960962) is 183498139156090164648552841216
- 428366827796096 cubed (4283668277960963) is 78604515776780936146014906449587064312692736
-
The
square root of 428366827796096 is 20697024.6121536995 -
The
cube root of 428366827796096 is 75382.7443407295
Scales and comparisons
How big is 428366827796096?- 428,366,827,796,096 seconds is equal to 13,620,740 years, 5 weeks, 18 hours, 54 minutes, 56 seconds.
-
To count from 1 to 428,366,827,796,096 would take you about thirty-four million, fifty-one thousand, eight hundred fifty 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 428366827796096 cubic inches would be around 6281.9 feet tall.
Recreational maths with 428366827796096
- 428366827796096 backwards is 690697728663824
- The number of decimal digits it has is: 15
- The sum of 428366827796096's digits is 83
- More coming soon!
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"Number 428366827796096 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 428366827796096 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/428366827796096/
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The information we have on file for 428366827796096 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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