428493974409216
428,493,974,409,216 is an even composite number composed of four prime numbers multiplied together.
428493974409216 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred fifty-one divisors.
Prime factorization of 428493974409216:
212 × 32 × 1312 × 8232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 131 × 131 × 823 × 823)See below for interesting mathematical facts about the number 428493974409216 from the Numbermatics database.
Names of 428493974409216
- Cardinal: 428493974409216 can be written as Four hundred twenty-eight trillion, four hundred ninety-three billion, nine hundred seventy-four million, four hundred nine thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.28493974409216 × 1014
Factors of 428493974409216
Divisors of 428493974409216
- Number of divisors d(n): 351
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 256 262 288 384 393 512 524 576 768 786 823 1024 1048 1152 1179 1536 1572 1646 2048 2096 2304 2358 2469 3072 3144 3292 4096 4192 4608 4716 4938 6144 6288 6584 7407 8384 9216 9432 9876 12288 12576 13168 14814 16768 17161 18432 18864 19752 25152 26336 29628 33536 34322 36864 37728 39504 50304 51483 52672 59256 67072 68644 75456 79008 100608 102966 105344 107813 118512 134144 137288 150912 154449 158016 201216 205932 210688 215626 237024 268288 274576 301824 308898 316032 323439 402432 411864 421376 431252 474048 536576 549152 603648 617796 632064 646878 677329 804864 823728 842752 862504 948096 970317 1098304 1207296 1235592 1264128 1293756 1354658 1609728 1647456 1685504 1725008 1896192 1940634 2031987 2196608 2414592 2471184 2528256 2587512 2709316 3294912 3371008 3450016 3792384 3881268 4063974 4393216 4829184 4942368 5056512 5175024 5418632 6095961 6589824 6900032 7584768 7762536 8127948 8786432 9884736 10113024 10350048 10837264 12191922 13179648 13800064 14123503 15169536 15525072 16255896 17572864 19769472 20700096 21674528 24383844 26359296 27600128 28247006 30339072 31050144 32511792 35145728 39538944 41400192 42370509 43349056 48767688 52718592 55200256 56494012 62100288 65023584 70291456 79077888 82800384 84741018 86698112 88730099 97535376 105437184 110400512 112988024 124200576 127111527 130047168 158155776 165600768 169482036 173396224 177460198 195070752 210874368 220801024 225976048 248401152 254223054 260094336 266190297 316311552 331201536 338964072 346792448 354920396 390141504 441602048 451952096 496802304 508446108 520188672 532380594 632623104 662403072 677928144 693584896 709840792 780283008 798570891 903904192 993604608 1016892216 1040377344 1064761188 1324806144 1355856288 1387169792 1419681584 1560566016 1597141782 1807808384 1987209216 2033784432 2080754688 2129522376 2711712576 2774339584 2839363168 3121132032 3194283564 3615616768 3974418432 4067568864 4161509376 4259044752 5423425152 5678726336 6242264064 6388567128 7231233536 8135137728 8323018752 8518089504 10846850304 11357452672 11623642969 12484528128 12777134256 14462467072 16270275456 17036179008 21693700608 22714905344 23247285938 24969056256 25554268512 28924934144 32540550912 34072358016 34870928907 43387401216 45429810688 46494571876 51108537024 57849868288 65081101824 68144716032 69741857814 86774802432 90859621376 92989143752 102217074048 104612786721 130162203648 136289432064 139483715628 173549604864 181719242752 185978287504 204434148096 209225573442 260324407296 272578864128 278967431256 363438485504 371956575008 408868296192 418451146884 520648814592 545157728256 557934862512 743913150016 817736592384 836902293768 1090315456512 1115869725024 1487826300032 1635473184768 1673804587536 2231739450048 2975652600064 3270946369536 3347609175072 4463478900096 5951305200128 6695218350144 8926957800192 11902610400256 13390436700288 17853915600384 23805220800512 26780873400576 35707831200768 47610441601024 53561746801152 71415662401536 107123493602304 142831324803072 214246987204608 428493974409216
- Sum of all divisors σ(n): 1248758067691407
- Sum of proper divisors (its aliquot sum) s(n): 820264093282191
- 428493974409216 is an abundant number, because the sum of its proper divisors (820264093282191) is greater than itself. Its abundance is 391770118872975
Bases of 428493974409216
- Binary: 11000010110110110100001110010001000010000000000002
- Hexadecimal: 0x185B687221000
- Base-36: 47VZEWZ5S0
Squares and roots of 428493974409216
- 428493974409216 squared (4284939744092162) is 183607086105005856296225734656
- 428493974409216 cubed (4284939744092163) is 78674530054829098005188762733935273176989696
-
428493974409216 is a
perfect square number . Itssquare root is 20700096 -
The
cube root of 428493974409216 is 75390.2018995847
Scales and comparisons
How big is 428493974409216?- 428,493,974,409,216 seconds is equal to 13,624,782 years, 50 weeks, 2 days, 2 hours, 33 minutes, 36 seconds.
-
To count from 1 to 428,493,974,409,216 would take you about thirty-four million, sixty-one thousand, nine hundred fifty-seven 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 428493974409216 cubic inches would be around 6282.5 feet tall.
Recreational maths with 428493974409216
- 428493974409216 backwards is 612904479394824
- 428493974409216 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428493974409216's digits is 72
- More coming soon!
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