428665328000
428,665,328,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428665328000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
428665328000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 428665328000:
27 × 53 × 72 × 13 × 137 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 137 × 307)See below for interesting mathematical facts about the number 428665328000 from the Numbermatics database.
Names of 428665328000
- Cardinal: 428665328000 can be written as Four hundred twenty-eight billion, six hundred sixty-five million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.28665328 × 1011
Factors of 428665328000
Divisors of 428665328000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 125 128 130 137 140 160 175 182 196 200 208 224 245 250 260 274 280 307 320 325 350 364 392 400 416 448 455 490 500 520 548 560 614 637 640 650 685 700 728 784 800 832 875 896 910 959 980 1000 1040 1096 1120 1225 1228 1274 1300 1370 1400 1456 1535 1568 1600 1625 1664 1750 1781 1820 1918 1960 2000 2080 2149 2192 2240 2275 2450 2456 2548 2600 2740 2800 2912 3070 3136 3185 3200 3250 3425 3500 3562 3640 3836 3920 3991 4000 4160 4298 4384 4480 4550 4795 4900 4912 5096 5200 5480 5600 5824 6125 6140 6272 6370 6500 6713 6850 7000 7124 7280 7672 7675 7840 7982 8000 8320 8596 8768 8905 9100 9590 9800 9824 10192 10400 10745 10960 11200 11375 11648 12250 12280 12467 12740 13000 13426 13700 14000 14248 14560 15043 15344 15350 15680 15925 15964 16000 17125 17192 17536 17810 18200 19180 19600 19648 19955 20384 20800 21490 21920 22400 22750 23975 24500 24560 24934 25480 26000 26852 27400 27937 28000 28496 29120 30086 30688 30700 31360 31850 31928 33565 34250 34384 35620 36400 38360 38375 39200 39296 39910 40768 41600 42059 42980 43840 44525 45500 47950 49000 49120 49868 50960 52000 53704 53725 54800 55874 56000 56992 58240 60172 61376 61400 62335 63700 63856 67130 68500 68768 71240 72800 75215 76720 76750 78400 79625 79820 81536 84118 85960 87269 87680 89050 91000 95900 98000 98240 99736 99775 101920 104000 107408 107450 109600 111748 112000 113984 119875 120344 122752 122800 124670 127400 127712 134260 137000 137536 139685 142480 145600 150430 153440 153500 156800 159250 159640 167825 168236 171920 174538 178100 182000 191800 195559 196000 196480 199472 199550 203840 208000 210295 214816 214900 219200 222625 223496 227968 239750 240688 245600 249340 254800 255424 268520 268625 274000 275072 279370 284960 291200 294413 300860 306880 307000 311675 318500 319280 335650 336472 343840 349076 356200 364000 376075 383600 391118 392000 398944 399100 407680 420590 429632 429800 436345 438400 445250 446992 479500 481376 491200 498680 498875 509600 510848 537040 537250 546767 548000 558740 569920 588826 601720 613760 614000 623350 637000 638560 671300 672944 687680 698152 698425 712400 728000 752150 767200 782236 784000 797888 798200 839125 841180 859264 859600 872690 890500 893984 959000 962752 977795 982400 997360 997750 1019200 1051475 1074080 1074500 1093534 1096000 1117480 1139840 1177652 1203440 1228000 1246700 1274000 1277120 1342600 1345888 1375360 1396304 1396850 1424800 1456000 1472065 1504300 1534400 1558375 1564472 1595776 1596400 1678250 1682360 1719200 1745380 1781000 1787968 1880375 1918000 1925504 1955590 1994720 1995500 2038400 2060891 2102950 2148160 2149000 2181725 2187068 2192000 2234960 2355304 2406880 2456000 2493400 2548000 2554240 2685200 2691776 2733835 2792608 2793700 2849600 2944130 3008600 3068800 3116750 3128944 3192800 3356500 3364720 3438400 3490760 3492125 3562000 3575936 3760750 3827369 3836000 3911180 3989440 3991000 4121782 4205900 4296320 4298000 4363450 4374136 4469920 4710608 4813760 4888975 4912000 4986800 5096000 5257375 5370400 5383552 5467670 5585216 5587400 5699200 5888260 6017200 6233500 6257888 6385600 6713000 6729440 6876800 6981520 6984250 7124000 7360325 7521500 7654738 7672000 7822360 7978880 7982000 8243564 8411800 8596000 8726900 8748272 8939840 9421216 9627520 9777950 9973600 10192000 10304455 10514750 10740800 10908625 10935340 11170432 11174800 11776520 12034400 12467000 12515776 12771200 13426000 13458880 13669175 13963040 13968500 14248000 14720650 15043000 15309476 15344000 15644720 15964000 16487128 16823600 17192000 17453800 17496544 17879680 18842432 19136845 19555900 19947200 20608910 21029500 21481600 21817250 21870680 22349600 23553040 24068800 24444875 24934000 25031552 26791583 26852000 26917760 27338350 27926080 27937000 28496000 29441300 30086000 30618952 31289440 31928000 32974256 33647200 34384000 34907600 34993088 36801625 37684864 38273690 39111800 39894400 41217820 42059000 43634500 43741360 44699200 47106080 48137600 48889750 49868000 51522275 53583166 53704000 54676700 55852160 55874000 58882600 60172000 61237904 62578880 63856000 65948512 67294400 68345875 69815200 69986176 73603250 76547380 78223600 82435640 84118000 87269000 87482720 89398400 94212160 95684225 97779500 99736000 103044550 107166332 107408000 109353400 111748000 117765200 120344000 122475808 125157760 131897024 133957915 134588800 136691750 139630400 147206500 153094760 156447200 164871280 168236000 174538000 174965440 188424320 191368450 195559000 199472000 206089100 214332664 218706800 223496000 235530400 240688000 244951616 257611375 263794048 267915830 273383500 279260800 294413000 306189520 312894400 329742560 336472000 349076000 349930880 382736900 391118000 412178200 428665328 437413600 446992000 471060800 478421125 489903232 515222750 535831660 546767000 588826000 612379040 625788800 659485120 669789575 672944000 698152000 765473800 782236000 824356400 857330656 874827200 942121600 956842250 1030445500 1071663320 1093534000 1177652000 1224758080 1318970240 1339579150 1396304000 1530947600 1564472000 1648712800 1714661312 1749654400 1913684500 2060891000 2143326640 2187068000 2355304000 2449516160 2679158300 3061895200 3128944000 3297425600 3348947875 3429322624 3827369000 4121782000 4286653280 4374136000 4710608000 5358316600 6123790400 6594851200 6697895750 7654738000 8243564000 8573306560 8748272000 10716633200 12247580800 13395791500 15309476000 16487128000 17146613120 21433266400 26791583000 30618952000 32974256000 42866532800 53583166000 61237904000 85733065600 107166332000 214332664000 428665328000
- Sum of all divisors σ(n): 1349265677760
- Sum of proper divisors (its aliquot sum) s(n): 920600349760
- 428665328000 is an abundant number, because the sum of its proper divisors (920600349760) is greater than itself. Its abundance is 491935021760
Bases of 428665328000
- Binary: 1100011110011100111000111010001100000002
- Hexadecimal: 0x63CE71D180
- Base-36: 5GXC9NY8
Squares and roots of 428665328000
- 428665328000 squared (4286653280002) is 183753963429347584000000
- 428665328000 cubed (4286653280003) is 78768953004741286921367552000000000
-
The
square root of 428665328000 is 654725.3836533299 -
The
cube root of 428665328000 is 7540.0250006793
Scales and comparisons
How big is 428665328000?- 428,665,328,000 seconds is equal to 13,630 years, 12 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 428,665,328,000 would take you about twenty-seven thousand, two hundred sixty 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 428665328000 cubic inches would be around 628.3 feet tall.
Recreational maths with 428665328000
- 428665328000 backwards is 000823566824
- The number of decimal digits it has is: 12
- The sum of 428665328000's digits is 44
- More coming soon!
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The information we have on file for 428665328000 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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