428840120905728

Names of 428840120905728

• Cardinal: 428840120905728 can be written as Four hundred twenty-eight trillion, eight hundred forty billion, one hundred twenty million, nine hundred five thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 4.28840120905728 × 10¹⁴

Factors of 428840120905728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 199489

Divisors of 428840120905728

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 256 316 317 336 384 448 474 512 553 632 634 672 768 896 948 951 1024 1106 1264 1268 1344 1536 1659 1792 1896 1902 2048 2212 2219 2528 2536 2688 3072 3318 3584 3792 3804 4096 4424 4438 5056 5072 5376 6144 6636 6657 7168 7584 7608 8848 8876 10112 10144 10752 12288 13272 13314 14336 15168 15216 17696 17752 20224 20288 21504 25043 26544 26628 28672 30336 30432 35392 35504 40448 40576 43008 50086 53088 53256 60672 60864 70784 71008 75129 80896 81152 86016 100172 106176 106512 121344 121728 141568 142016 150258 161792 162304 175301 199081 200344 212352 213024 242688 243456 283136 284032 300516 323584 324608 350602 398162 400688 424704 426048 485376 486912 525903 566272 568064 597243 601032 649216 701204 796324 801376 849408 852096 970752 973824 1051806 1132544 1136128 1194486 1202064 1298432 1393567 1402408 1592648 1602752 1698816 1704192 1947648 2103612 2265088 2272256 2388972 2404128 2787134 2804816 3185296 3205504 3397632 3408384 3895296 4180701 4207224 4544512 4777944 4808256 5574268 5609632 6370592 6411008 6795264 6816768 8361402 8414448 9089024 9555888 9616512 11148536 11219264 12741184 12822016 13633536 15727399 16722804 16828896 19111776 19233024 22297072 22438528 25482368 25644032 27267072 31454798 33445608 33657792 38223552 38466048 44594144 44877056 47182197 50964736 51288064 62909596 63108677 66891216 67315584 76447104 76932096 89188288 89754112 94364394 101929472 102576128 110091793 125819192 126217354 133782432 134631168 152894208 153864192 178376576 179508224 188728788 189326031 203858944 220183586 251638384 252434708 267564864 269262336 305788416 307728384 330275379 356753152 359016448 377457576 378652062 407717888 440367172 441760739 503276768 504869416 535129728 538524672 611576832 660550758 713506304 718032896 754915152 757304124 815435776 880734344 883521478 1006553536 1009738832 1070259456 1077049344 1223153664 1321101516 1325282217 1427012608 1509830304 1514608248 1761468688 1767042956 2013107072 2019477664 2140518912 2154098688 2446307328 2642203032 2650564434 2854025216 3019660608 3029216496 3522937376 3534085912 4026214144 4038955328 4281037824 4985585483 5284406064 5301128868 5708050432 6039321216 6058432992 7045874752 7068171824 8052428288 8077910656 8562075648 9971170966 10568812128 10602257736 12078642432 12116865984 14091749504 14136343648 14956756449 16104856576 16155821312 17124151296 19942341932 21137624256 21204515472 24157284864 24233731968 28183499008 28272687296 29913512898 32209713152 32311642624 34899098381 39884683864 42275248512 42409030944 48314569728 48467463936 56366998016 56545374592 59827025796 64419426304 64623285248 69798196762 79769367728 84550497024 84818061888 96629139456 96934927872 104697295143 112733996032 113090749184 119654051592 129246570496 139596393524 159538735456 169100994048 169636123776 193258278912 193869855744 209394590286 225467992064 226181498368 239308103184 258493140992 279192787048 319077470912 338201988096 339272247552 387739711488 418789180572 450935984128 452362996736 478616206368 558385574096 638154941824 676403976192 678544495104 775479422976 837578361144 904725993472 957232412736 1116771148192 1276309883648 1352807952384 1357088990208 1675156722288 1809451986944 1914464825472 2233542296384 2552619767296 2714177980416 3350313444576 3828929650944 4467084592768 5105239534592 5428355960832 6700626889152 7657859301888 8934169185536 10210479069184 13401253778304 15315718603776 17868338371072 20420958138368 26802507556608 30631437207552 35736676742144 53605015113216 61262874415104 71473353484288 107210030226432 142946706968576 214420060452864 428840120905728
• Sum of all divisors σ(n): 1327504513320960
• Sum of proper divisors (its aliquot sum) s(n): 898664392415232
• 428840120905728 is an abundant number, because the sum of its proper divisors (898664392415232) is greater than itself. Its abundance is 469824271509504

Bases of 428840120905728

• Binary: 1100001100000011100011111000100100111000000000000₂
• Hexadecimal: 0x186071F127000
• Base-36: 480EFJNVUO

Squares and roots of 428840120905728

• 428840120905728 squared (428840120905728²) is 183903849298439409235063209984
• 428840120905728 cubed (428840120905728³) is 78865348968171537686470544424779089132388352
• The square root of 428840120905728 is 20708455.2998461959
• The cube root of 428840120905728 is 75410.4970355631

Scales and comparisons

• 428,840,120,905,728 seconds is equal to 13,635,789 years, 18 weeks, 3 days, 7 hours, 8 minutes, 48 seconds.
• To count from 1 to 428,840,120,905,728 would take you about thirty-four million, eighty-nine thousand, four hundred seventy-three 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 428840120905728 cubic inches would be around 6284.2 feet tall.

Recreational maths with 428840120905728

• 428840120905728 backwards is 827509021048824
• The number of decimal digits it has is: 15
• The sum of 428840120905728's digits is 60
• More coming soon!