428048124000
428,048,124,000 is an even composite number composed of seven prime numbers multiplied together.
428048124000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 428048124000:
25 × 3 × 53 × 72 × 23 × 31 × 1021
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 23 × 31 × 1021)See below for interesting mathematical facts about the number 428048124000 from the Numbermatics database.
Names of 428048124000
- Cardinal: 428048124000 can be written as Four hundred twenty-eight billion, forty-eight million, one hundred twenty-four thousand.
Scientific notation
- Scientific notation: 4.28048124 × 1011
Factors of 428048124000
Divisors of 428048124000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 31 32 35 40 42 46 48 49 50 56 60 62 69 70 75 80 84 92 93 96 98 100 105 112 115 120 124 125 138 140 147 150 155 160 161 168 175 184 186 196 200 210 217 224 230 240 245 248 250 276 280 294 300 310 322 336 345 350 368 372 375 392 400 420 434 460 465 480 483 490 496 500 525 552 560 575 588 600 620 644 651 672 690 700 713 735 736 744 750 775 784 800 805 840 868 875 920 930 966 980 992 1000 1021 1050 1085 1104 1120 1127 1150 1176 1200 1225 1240 1288 1302 1380 1400 1426 1470 1488 1500 1519 1550 1568 1610 1680 1725 1736 1750 1840 1860 1932 1960 2000 2042 2100 2139 2170 2208 2254 2300 2325 2352 2400 2415 2450 2480 2576 2604 2625 2760 2800 2852 2875 2940 2976 3000 3038 3063 3100 3220 3255 3360 3381 3450 3472 3500 3565 3675 3680 3720 3864 3875 3920 4000 4025 4084 4200 4278 4340 4508 4557 4600 4650 4704 4830 4900 4960 4991 5105 5152 5208 5250 5425 5520 5600 5635 5704 5750 5880 6000 6076 6125 6126 6200 6440 6510 6762 6900 6944 7000 7130 7147 7350 7440 7595 7728 7750 7840 8050 8168 8400 8556 8625 8680 9016 9114 9200 9300 9660 9800 9982 10210 10416 10500 10695 10850 11040 11270 11408 11500 11625 11760 12000 12075 12152 12250 12252 12400 12880 13020 13524 13800 14000 14260 14294 14700 14880 14973 15190 15315 15456 15500 16100 16275 16336 16800 16905 17112 17250 17360 17825 18032 18228 18375 18400 18600 19320 19600 19964 20125 20420 20832 21000 21390 21441 21700 22540 22785 22816 23000 23250 23483 23520 24150 24304 24500 24504 24800 24955 25525 25760 26040 27048 27125 27600 28000 28175 28520 28588 29400 29946 30380 30630 31000 31651 32200 32550 32672 33810 34224 34500 34720 34937 35650 35735 36064 36456 36750 37200 37975 38640 39200 39928 40250 40840 42000 42780 42882 43400 45080 45570 46000 46500 46966 48300 48608 49000 49008 49910 50029 51050 52080 53475 54096 54250 55200 56350 57040 57176 58800 59892 60375 60760 61260 62000 63302 64400 65100 67620 68448 69000 69874 70449 71300 71470 72912 73500 74400 74865 75950 76575 77280 79856 80500 81375 81680 84000 84525 85560 85764 86800 89125 90160 91140 92000 93000 93932 94953 96600 98000 98016 99820 100058 102100 104160 104811 106950 107205 108192 108500 112700 113925 114080 114352 117415 117600 119784 120750 121520 122520 124000 124775 126604 127625 128800 130200 135240 138000 139748 140875 140898 142600 142940 145824 147000 149730 150087 151900 153150 158255 159712 161000 162750 163360 164381 169050 171120 171528 173600 174685 178250 178675 180320 182280 186000 187864 189875 189906 193200 196000 199640 200116 204200 209622 213900 214410 217000 221557 225400 227850 228704 234830 239568 241500 243040 245040 249550 250145 253208 255250 260400 267375 270480 276000 279496 281750 281796 285200 285880 294000 299460 300174 303800 306300 316510 322000 325500 328762 338100 342240 343056 349370 352245 356500 357350 364560 372000 374325 375728 379750 379812 382875 386400 399280 400232 408400 419244 422625 427800 428820 434000 443114 450800 455700 469660 474765 479136 483000 490080 493143 499100 500290 506416 510500 520800 524055 534750 536025 540960 558992 563500 563592 569625 570400 571760 587075 588000 598920 600348 607600 612600 623875 633020 644000 651000 657524 664671 676200 686112 698740 704490 713000 714700 727973 729120 748650 750435 751456 759500 759624 765750 791275 798560 800464 816800 821905 838488 845250 855600 857640 868000 873425 886228 893375 901600 911400 939320 949530 966000 986286 998200 1000580 1012832 1021000 1048110 1069500 1072050 1107785 1117984 1127000 1127184 1139250 1143520 1150667 1174150 1197840 1200696 1215200 1225200 1247750 1250725 1266040 1302000 1315048 1329342 1352400 1397480 1408980 1426000 1429400 1455946 1497300 1500870 1519000 1519248 1531500 1550899 1582550 1600928 1643810 1676976 1690500 1711200 1715280 1746850 1761225 1772456 1786750 1822800 1871625 1878640 1899060 1932000 1972572 1996400 2001160 2042000 2096220 2139000 2144100 2183919 2215570 2254000 2254368 2278500 2301334 2348300 2373825 2395680 2401392 2450400 2465715 2495500 2501450 2532080 2604000 2620275 2630096 2658684 2680125 2704800 2794960 2817960 2852000 2858800 2911892 2935375 2994600 3001740 3038000 3038496 3063000 3101798 3165100 3287620 3323355 3353952 3381000 3430560 3452001 3493700 3522450 3544912 3573500 3639865 3645600 3743250 3752175 3757280 3798120 3945144 3956375 3992800 4002320 4084000 4109525 4192440 4278000 4288200 4367125 4367838 4431140 4508000 4557000 4602668 4652697 4696600 4747650 4802784 4931430 4991000 5002900 5064160 5095811 5240550 5260192 5317368 5360250 5538925 5589920 5635920 5717600 5753335 5823784 5870750 5989200 6003480 6076000 6126000 6203596 6253625 6330200 6575240 6646710 6762000 6904002 6987400 7044900 7089824 7147000 7279730 7486500 7504350 7596240 7754495 7890288 7912750 8004640 8219050 8384880 8556000 8576400 8734250 8735676 8806125 8862280 9114000 9205336 9305394 9393200 9495300 9862860 9982000 10005800 10191622 10481100 10634736 10720500 10919595 11077850 11271840 11506670 11647568 11741500 11869125 11978400 12006960 12252000 12328575 12407192 12507250 12660400 13101375 13150480 13293420 13524000 13808004 13974800 14089800 14294000 14559460 14973000 15008700 15192480 15287433 15508990 15780576 15825500 16438100 16616775 16769760 17152800 17260005 17468500 17471352 17612250 17724560 18199325 18228000 18410672 18610788 18760875 18786400 18990600 19725720 19964000 20011600 20383244 20547625 20962200 21269472 21441000 21839190 22155700 23013340 23263485 23295136 23483000 23738250 24013920 24657150 24814384 25014500 25320800 25479055 26202750 26300960 26586840 27616008 27694625 27949600 28179600 28588000 28766675 29118920 29946000 30017400 30574866 31017980 31651000 32876200 33233550 34520010 34937000 34942704 35224500 35449120 35670677 36398650 36821344 37221576 37521750 37981200 38772475 39451440 40023200 40766488 41095250 41924400 42882000 43678380 44311400 46026680 46526970 46966000 47476500 49314300 49628768 50029000 50958110 52405500 53173680 54597975 55232016 55389250 56359200 57533350 58237840 59892000 60034800 61149732 61642875 62035960 63302000 65752400 66467100 69040020 69874000 69885408 70449000 71341354 72797300 74443152 75043500 75962400 76437165 77544950 78902880 81532976 82190500 83083875 83848800 85764000 86300025 87356760 88622800 90996625 92053360 93053940 93932000 94953000 98628600 100058000 101916220 104811000 106347360 107012031 109195950 110464032 110778500 115066700 116317425 116475680 120069600 122299464 123285750 124071920 126604000 127395275 131504800 132934200 138080040 139748000 140898000 142682708 143833375 145594600 148886304 150087000 152874330 155089900 163065952 164381000 166167750 172600050 174713520 177245600 178353385 181993250 184106720 186107880 189906000 193862375 197257200 200116000 203832440 209622000 214024062 218391900 221557000 230133400 232634850 244598928 246571500 248143840 254790550 265868400 272989875 276160080 281796000 285365416 287666750 291189200 300174000 305748660 310179800 328762000 332335500 345200100 349427040 356706770 363986500 372215760 379812000 382185825 387724750 394514400 407664880 419244000 428048124 431500125 436783800 443114000 460266800 465269700 489197856 493143000 509581100 531736800 535060155 545979750 552320160 570730832 575333500 581587125 582378400 600348000 611497320 620359600 636976375 657524000 664671000 690400200 713413540 727973000 744431520 764371650 775449500 815329760 856096248 863000250 873567600 886228000 891766925 920533600 930539400 986286000 1019162200 1070120310 1091959500 1141461664 1150667000 1163174250 1222994640 1240719200 1273952750 1329342000 1380800400 1426827080 1455946000 1528743300 1550899000 1712192496 1726000500 1747135200 1783533850 1861078800 1910929125 1972572000 2038324400 2140240620 2183919000 2301334000 2326348500 2445989280 2547905500 2658684000 2675300775 2761600800 2853654160 2911892000 3057486600 3101798000 3424384992 3452001000 3567067700 3722157600 3821858250 4076648800 4280481240 4367838000 4458834625 4602668000 4652697000 5095811000 5350601550 5707308320 6114973200 6203596000 6904002000 7134135400 7643716500 8560962480 8735676000 8917669250 9305394000 10191622000 10701203100 12229946400 13376503875 13808004000 14268270800 15287433000 17121924960 17835338500 18610788000 20383244000 21402406200 26753007750 28536541600 30574866000 35670677000 42804812400 53506015500 61149732000 71341354000 85609624800 107012031000 142682708000 214024062000 428048124000
- Sum of all divisors σ(n): 1758782398464
- Sum of proper divisors (its aliquot sum) s(n): 1330734274464
- 428048124000 is an abundant number, because the sum of its proper divisors (1330734274464) is greater than itself. Its abundance is 902686150464
Bases of 428048124000
- Binary: 1100011101010011010100000001000011000002
- Hexadecimal: 0x63A9A80860
- Base-36: 5GN4SUAO
Squares and roots of 428048124000
- 428048124000 squared (4280481240002) is 183225196459919376000000
- 428048124000 cubed (4280481240003) is 78429201614199930088050624000000000
-
The
square root of 428048124000 is 654253.8681582249 -
The
cube root of 428048124000 is 7536.4044847829
Scales and comparisons
How big is 428048124000?- 428,048,124,000 seconds is equal to 13,610 years, 31 weeks, 3 days, 16 hours, 40 minutes.
-
To count from 1 to 428,048,124,000 would take you about twenty-seven thousand, two hundred twenty-one 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 428048124000 cubic inches would be around 628 feet tall.
Recreational maths with 428048124000
- 428048124000 backwards is 000421840824
- The number of decimal digits it has is: 12
- The sum of 428048124000's digits is 33
- More coming soon!
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The information we have on file for 428048124000 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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