428144640000
428,144,640,000 is an even composite number composed of six prime numbers multiplied together.
428144640000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 428144640000:
214 × 3 × 54 × 7 × 11 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 11 × 181)See below for interesting mathematical facts about the number 428144640000 from the Numbermatics database.
Names of 428144640000
- Cardinal: 428144640000 can be written as Four hundred twenty-eight billion, one hundred forty-four million, six hundred forty thousand.
Scientific notation
- Scientific notation: 4.2814464 × 1011
Factors of 428144640000
Divisors of 428144640000
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 50 55 56 60 64 66 70 75 77 80 84 88 96 100 105 110 112 120 125 128 132 140 150 154 160 165 168 175 176 181 192 200 210 220 224 231 240 250 256 264 275 280 300 308 320 330 336 350 352 362 375 384 385 400 420 440 448 462 480 500 512 525 528 543 550 560 600 616 625 640 660 672 700 704 724 750 768 770 800 825 840 875 880 896 905 924 960 1000 1024 1050 1056 1086 1100 1120 1155 1200 1232 1250 1267 1280 1320 1344 1375 1400 1408 1448 1500 1536 1540 1600 1650 1680 1750 1760 1792 1810 1848 1875 1920 1925 1991 2000 2048 2100 2112 2172 2200 2240 2310 2400 2464 2500 2534 2560 2625 2640 2688 2715 2750 2800 2816 2896 3000 3072 3080 3200 3300 3360 3500 3520 3584 3620 3696 3750 3801 3840 3850 3982 4000 4096 4125 4200 4224 4344 4375 4400 4480 4525 4620 4800 4928 5000 5068 5120 5250 5280 5376 5430 5500 5600 5632 5775 5792 5973 6000 6144 6160 6335 6400 6600 6720 6875 7000 7040 7168 7240 7392 7500 7602 7680 7700 7964 8000 8192 8250 8400 8448 8688 8750 8800 8960 9050 9240 9600 9625 9856 9955 10000 10136 10240 10500 10560 10752 10860 11000 11200 11264 11550 11584 11946 12000 12288 12320 12670 12800 13125 13200 13440 13575 13750 13937 14000 14080 14336 14480 14784 15000 15204 15360 15400 15928 16000 16384 16500 16800 16896 17376 17500 17600 17920 18100 18480 19005 19200 19250 19712 19910 20000 20272 20480 20625 21000 21120 21504 21720 22000 22400 22528 22625 23100 23168 23892 24000 24576 24640 25340 25600 26250 26400 26880 27150 27500 27874 28000 28160 28672 28875 28960 29568 29865 30000 30408 30720 30800 31675 31856 32000 33000 33600 33792 34752 35000 35200 35840 36200 36960 38010 38400 38500 39424 39820 40000 40544 40960 41250 41811 42000 42240 43008 43440 44000 44800 45056 45250 46200 46336 47784 48000 48125 49152 49280 49775 50680 51200 52500 52800 53760 54300 55000 55748 56000 56320 57344 57750 57920 59136 59730 60000 60816 61440 61600 63350 63712 64000 66000 67200 67584 67875 69504 69685 70000 70400 71680 72400 73920 76020 76800 77000 78848 79640 80000 81088 81920 82500 83622 84000 84480 86016 86880 88000 89600 90112 90500 92400 92672 95025 95568 96000 96250 98560 99550 101360 102400 105000 105600 107520 108600 110000 111496 112000 112640 113125 114688 115500 115840 118272 119460 120000 121632 122880 123200 126700 127424 128000 132000 134400 135168 135750 139008 139370 140000 140800 143360 144375 144800 147840 149325 152040 153600 154000 157696 158375 159280 160000 162176 165000 167244 168000 168960 172032 173760 176000 179200 180224 181000 184800 185344 190050 191136 192000 192500 197120 199100 202720 204800 209055 210000 211200 215040 217200 220000 222992 224000 225280 226250 231000 231680 236544 238920 240000 243264 245760 246400 248875 253400 254848 256000 264000 268800 270336 271500 278016 278740 280000 281600 286720 288750 289600 295680 298650 304080 307200 308000 315392 316750 318560 320000 324352 330000 334488 336000 337920 339375 344064 347520 348425 352000 358400 362000 369600 370688 380100 382272 384000 385000 394240 398200 405440 409600 418110 420000 422400 430080 434400 440000 445984 448000 450560 452500 462000 463360 473088 475125 477840 480000 486528 492800 497750 506800 509696 512000 528000 537600 540672 543000 556032 557480 560000 563200 573440 577500 579200 591360 597300 608160 614400 616000 630784 633500 637120 640000 648704 660000 668976 672000 675840 678750 695040 696850 704000 716800 724000 739200 741376 746625 760200 764544 768000 770000 788480 791875 796400 810880 836220 840000 844800 860160 868800 880000 891968 896000 901120 905000 924000 926720 946176 950250 955680 960000 973056 985600 995500 1013600 1019392 1024000 1045275 1056000 1075200 1086000 1112064 1114960 1120000 1126400 1155000 1158400 1182720 1194600 1216320 1228800 1232000 1244375 1261568 1267000 1274240 1280000 1297408 1320000 1337952 1344000 1351680 1357500 1390080 1393700 1408000 1433600 1448000 1478400 1482752 1493250 1520400 1529088 1536000 1540000 1576960 1583750 1592800 1621760 1672440 1680000 1689600 1720320 1737600 1742125 1760000 1783936 1792000 1810000 1848000 1853440 1892352 1900500 1911360 1920000 1946112 1971200 1991000 2027200 2038784 2048000 2090550 2112000 2150400 2172000 2224128 2229920 2240000 2252800 2310000 2316800 2365440 2375625 2389200 2432640 2464000 2488750 2534000 2548480 2560000 2594816 2640000 2675904 2688000 2703360 2715000 2780160 2787400 2816000 2867200 2896000 2956800 2965504 2986500 3040800 3058176 3072000 3080000 3153920 3167500 3185600 3243520 3344880 3360000 3379200 3475200 3484250 3520000 3567872 3584000 3620000 3696000 3706880 3733125 3784704 3801000 3822720 3840000 3892224 3942400 3982000 4054400 4077568 4181100 4224000 4300800 4344000 4448256 4459840 4480000 4505600 4620000 4633600 4730880 4751250 4778400 4865280 4928000 4977500 5068000 5096960 5120000 5189632 5226375 5280000 5351808 5376000 5430000 5560320 5574800 5632000 5792000 5913600 5973000 6081600 6116352 6144000 6160000 6307840 6335000 6371200 6487040 6689760 6720000 6758400 6950400 6968500 7040000 7135744 7168000 7240000 7392000 7413760 7466250 7602000 7645440 7680000 7784448 7884800 7964000 8108800 8155136 8362200 8448000 8601600 8688000 8710625 8896512 8919680 8960000 9240000 9267200 9461760 9502500 9556800 9730560 9856000 9955000 10136000 10193920 10240000 10379264 10452750 10560000 10703616 10752000 10860000 11120640 11149600 11264000 11584000 11827200 11946000 12163200 12232704 12320000 12670000 12742400 12974080 13379520 13440000 13516800 13900800 13937000 14080000 14271488 14336000 14480000 14784000 14827520 14932500 15204000 15290880 15360000 15568896 15769600 15928000 16217600 16310272 16724400 16896000 17376000 17421250 17839360 17920000 18480000 18534400 18923520 19005000 19113600 19461120 19712000 19910000 20272000 20387840 20758528 20905500 21120000 21407232 21504000 21720000 22241280 22299200 22528000 23168000 23654400 23892000 24326400 24465408 24640000 25340000 25484800 25948160 26131875 26759040 26880000 27801600 27874000 28160000 28542976 28960000 29568000 29865000 30408000 30581760 30720000 31137792 31539200 31856000 32435200 32620544 33448800 33792000 34752000 34842500 35678720 35840000 36960000 37068800 38010000 38227200 38922240 39424000 39820000 40544000 40775680 41811000 42240000 42814464 43008000 43440000 44482560 44598400 46336000 47308800 47784000 48652800 48930816 49280000 50680000 50969600 51896320 52263750 53518080 53760000 55603200 55748000 56320000 57085952 57920000 59136000 59730000 60816000 61163520 62275584 63712000 64870400 66897600 67584000 69504000 69685000 71357440 71680000 73920000 74137600 76020000 76454400 77844480 78848000 79640000 81088000 81551360 83622000 84480000 85628928 86880000 89196800 92672000 94617600 95568000 97305600 97861632 98560000 101360000 101939200 103792640 104527500 107036160 107520000 111206400 111496000 112640000 114171904 115840000 118272000 119460000 121632000 122327040 127424000 129740800 133795200 139008000 139370000 142714880 147840000 152040000 152908800 155688960 157696000 159280000 162176000 163102720 167244000 168960000 171257856 173760000 178393600 185344000 191136000 194611200 197120000 202720000 203878400 209055000 214072320 215040000 222412800 222992000 228343808 231680000 236544000 238920000 243264000 244654080 254848000 259481600 267590400 278016000 278740000 285429760 295680000 304080000 305817600 311377920 318560000 324352000 334488000 337920000 342515712 347520000 356787200 370688000 382272000 389222400 394240000 405440000 407756800 418110000 428144640 445984000 463360000 473088000 477840000 486528000 489308160 509696000 518963200 535180800 556032000 557480000 570859520 591360000 608160000 611635200 637120000 648704000 668976000 685031424 695040000 713574400 764544000 778444800 788480000 810880000 815513600 836220000 856289280 891968000 926720000 955680000 973056000 1019392000 1070361600 1112064000 1114960000 1141719040 1182720000 1216320000 1223270400 1274240000 1297408000 1337952000 1390080000 1427148800 1529088000 1556889600 1621760000 1672440000 1712578560 1783936000 1853440000 1911360000 1946112000 2038784000 2140723200 2229920000 2365440000 2432640000 2446540800 2548480000 2594816000 2675904000 2780160000 2854297600 3058176000 3243520000 3344880000 3425157120 3567872000 3822720000 3892224000 4077568000 4281446400 4459840000 4865280000 5096960000 5351808000 5560320000 5708595200 6116352000 6487040000 6689760000 7135744000 7645440000 7784448000 8562892800 8919680000 9730560000 10193920000 10703616000 12232704000 12974080000 13379520000 14271488000 15290880000 17125785600 17839360000 19461120000 20387840000 21407232000 26759040000 28542976000 30581760000 35678720000 38922240000 42814464000 53518080000 61163520000 71357440000 85628928000 107036160000 142714880000 214072320000 428144640000
- Sum of all divisors σ(n): 1788505694976
- Sum of proper divisors (its aliquot sum) s(n): 1360361054976
- 428144640000 is an abundant number, because the sum of its proper divisors (1360361054976) is greater than itself. Its abundance is 932216414976
Bases of 428144640000
- Binary: 1100011101011110110100011000000000000002
- Hexadecimal: 0x63AF68C000
- Base-36: 5GOQ9IIO
Squares and roots of 428144640000
- 428144640000 squared (4281446400002) is 183307832760729600000000
- 428144640000 cubed (4281446400003) is 78482266066522780729344000000000000
-
The
square root of 428144640000 is 654327.6243595405 -
The
cube root of 428144640000 is 7536.9708766683
Scales and comparisons
How big is 428144640000?- 428,144,640,000 seconds is equal to 13,613 years, 35 weeks, 18 hours, 40 minutes.
-
To count from 1 to 428,144,640,000 would take you about twenty-seven thousand, two hundred twenty-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 428144640000 cubic inches would be around 628.1 feet tall.
Recreational maths with 428144640000
- 428144640000 backwards is 000046441824
- 428144640000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428144640000's digits is 33
- More coming soon!
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The information we have on file for 428144640000 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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