428096889364480
428,096,889,364,480 is an even composite number composed of four prime numbers multiplied together.
What does the number 428096889364480 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 616 divisors.
428096889364480 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred sixteen divisors.
Prime factorization of 428096889364480:
213 × 5 × 710 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 37)See below for interesting mathematical facts about the number 428096889364480 from the Numbermatics database.
Names of 428096889364480
- Cardinal: 428096889364480 can be written as Four hundred twenty-eight trillion, ninety-six billion, eight hundred eighty-nine million, three hundred sixty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.2809688936448 × 1014
Factors of 428096889364480
Divisors of 428096889364480
- Number of divisors d(n): 616
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 49 56 64 70 74 80 98 112 128 140 148 160 185 196 224 245 256 259 280 296 320 343 370 392 448 490 512 518 560 592 640 686 740 784 896 980 1024 1036 1120 1184 1280 1295 1372 1480 1568 1715 1792 1813 1960 2048 2072 2240 2368 2401 2560 2590 2744 2960 3136 3430 3584 3626 3920 4096 4144 4480 4736 4802 5120 5180 5488 5920 6272 6860 7168 7252 7840 8192 8288 8960 9065 9472 9604 10240 10360 10976 11840 12005 12544 12691 13720 14336 14504 15680 16576 16807 17920 18130 18944 19208 20480 20720 21952 23680 24010 25088 25382 27440 28672 29008 31360 33152 33614 35840 36260 37888 38416 40960 41440 43904 47360 48020 50176 50764 54880 57344 58016 62720 63455 66304 67228 71680 72520 75776 76832 82880 84035 87808 88837 94720 96040 100352 101528 109760 116032 117649 125440 126910 132608 134456 143360 145040 151552 153664 165760 168070 175616 177674 189440 192080 200704 203056 219520 232064 235298 250880 253820 265216 268912 286720 290080 303104 307328 331520 336140 351232 355348 378880 384160 401408 406112 439040 444185 464128 470596 501760 507640 530432 537824 580160 588245 614656 621859 663040 672280 702464 710696 757760 768320 812224 823543 878080 888370 928256 941192 1003520 1015280 1060864 1075648 1160320 1176490 1229312 1243718 1326080 1344560 1404928 1421392 1515520 1536640 1624448 1647086 1756160 1776740 1856512 1882384 2007040 2030560 2121728 2151296 2320640 2352980 2458624 2487436 2652160 2689120 2809856 2842784 3073280 3109295 3248896 3294172 3512320 3553480 3713024 3764768 4061120 4117715 4302592 4353013 4641280 4705960 4917248 4974872 5304320 5378240 5685568 5764801 6146560 6218590 6497792 6588344 7024640 7106960 7426048 7529536 8122240 8235430 8605184 8706026 9282560 9411920 9834496 9949744 10608640 10756480 11371136 11529602 12293120 12437180 12995584 13176688 14049280 14213920 14852096 15059072 16244480 16470860 17210368 17412052 18565120 18823840 19668992 19899488 21512960 21765065 22742272 23059204 24586240 24874360 25991168 26353376 28427840 28824005 30118144 30471091 32488960 32941720 34420736 34824104 37130240 37647680 39798976 40353607 43025920 43530130 45484544 46118408 49172480 49748720 51982336 52706752 56855680 57648010 60236288 60942182 64977920 65883440 68841472 69648208 74260480 75295360 79597952 80707214 86051840 87060260 90969088 92236816 98344960 99497440 103964672 105413504 113711360 115296020 120472576 121884364 129955840 131766880 137682944 139296416 150590720 152355455 159195904 161414428 172103680 174120520 181938176 184473632 198994880 201768035 210827008 213297637 227422720 230592040 240945152 243768728 259911680 263533760 278592832 282475249 301181440 304710910 318391808 322828856 344207360 348241040 363876352 368947264 397989760 403536070 421654016 426595274 454845440 461184080 481890304 487537456 519823360 527067520 557185664 564950498 602362880 609421820 636783616 645657712 688414720 696482080 727752704 737894528 795979520 807072140 843308032 853190548 909690880 922368160 963780608 975074912 1054135040 1066488185 1114371328 1129900996 1204725760 1218843640 1273567232 1291315424 1392964160 1412376245 1475789056 1493083459 1591959040 1614144280 1686616064 1706381096 1819381760 1844736320 1950149824 2108270080 2132976370 2228742656 2259801992 2409451520 2437687280 2547134464 2582630848 2785928320 2824752490 2951578112 2986166918 3183918080 3228288560 3373232128 3412762192 3638763520 3689472640 3900299648 4216540160 4265952740 4457485312 4519603984 4818903040 4875374560 5094268928 5165261696 5571856640 5649504980 5903156224 5972333836 6367836160 6456577120 6746464256 6825524384 7378945280 7465417295 7800599296 8433080320 8531905480 8914970624 9039207968 9750749120 10330523392 10451584213 11143713280 11299009960 11806312448 11944667672 12735672320 12913154240 13651048768 14757890560 14930834590 15601198592 16866160640 17063810960 17829941248 18078415936 19501498240 20661046784 20903168426 22287426560 22598019920 23612624896 23889335344 25471344640 25826308480 27302097536 29515781120 29861669180 31202397184 33732321280 34127621920 35659882496 36156831872 39002996480 41322093568 41806336852 44574853120 45196039840 47225249792 47778670688 51652616960 52257921065 54604195072 59031562240 59723338360 62404794368 68255243840 72313663744 78005992960 82644187136 83612673704 89149706240 90392079680 95557341376 103305233920 104515842130 109208390144 118063124480 119446676720 124809588736 136510487680 144627327488 156011985920 165288374272 167225347408 178299412480 180784159360 191114682752 206610467840 209031684260 218416780288 236126248960 238893353440 249619177472 273020975360 289254654976 312023971840 330576748544 334450694816 361568318720 382229365504 413220935680 418063368520 436833560576 477786706880 546041950720 578509309952 624047943680 668901389632 723136637440 764458731008 826441871360 836126737040 873667121152 955573413760 1092083901440 1157018619904 1248095887360 1337802779264 1446273274880 1528917462016 1652883742720 1672253474080 1747334242304 1911146827520 2184167802880 2314037239808 2675605558528 2892546549760 3057834924032 3344506948160 3822293655040 4368335605760 5351211117056 5785093099520 6115669848064 6689013896320 7644587310080 8736671211520 10702422234112 11570186199040 12231339696128 13378027792640 15289174620160 21404844468224 26756055585280 30578349240320 42809688936448 53512111170560 61156698480640 85619377872896 107024222341120 214048444682240 428096889364480
- Sum of all divisors σ(n): 1230992672539068
- Sum of proper divisors (its aliquot sum) s(n): 802895783174588
- 428096889364480 is an abundant number, because the sum of its proper divisors (802895783174588) is greater than itself. Its abundance is 374798893810108
Bases of 428096889364480
- Binary: 11000010101011010000100110000010100100000000000002
- Hexadecimal: 0x1855A13052000
- Base-36: 47QWZUSKCG
Squares and roots of 428096889364480
- 428096889364480 squared (4280968893644802) is 183266946683543829338285670400
- 428096889364480 cubed (4280968893644803) is 78456009798551117562085079008737746747392000
-
The
square root of 428096889364480 is 20690502.3951686587 -
The
cube root of 428096889364480 is 75366.9066876965
Scales and comparisons
How big is 428096889364480?- 428,096,889,364,480 seconds is equal to 13,612,156 years, 46 weeks, 2 days, 9 hours, 14 minutes, 40 seconds.
-
To count from 1 to 428,096,889,364,480 would take you about thirty-four million, thirty thousand, three hundred ninety-two 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 428096889364480 cubic inches would be around 6280.6 feet tall.
Recreational maths with 428096889364480
- 428096889364480 backwards is 084463988690824
- The number of decimal digits it has is: 15
- The sum of 428096889364480's digits is 79
- More coming soon!
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