428138384640
428,138,384,640 is an even composite number composed of six prime numbers multiplied together.
428138384640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 428138384640:
28 × 3 × 5 × 181 × 331 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 181 × 331 × 1861)See below for interesting mathematical facts about the number 428138384640 from the Numbermatics database.
Names of 428138384640
- Cardinal: 428138384640 can be written as Four hundred twenty-eight billion, one hundred thirty-eight million, three hundred eighty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.2813838464 × 1011
Factors of 428138384640
Divisors of 428138384640
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 181 192 240 256 320 331 362 384 480 543 640 662 724 768 905 960 993 1086 1280 1324 1448 1655 1810 1861 1920 1986 2172 2648 2715 2896 3310 3620 3722 3840 3972 4344 4965 5296 5430 5583 5792 6620 7240 7444 7944 8688 9305 9930 10592 10860 11166 11584 13240 14480 14888 15888 17376 18610 19860 21184 21720 22332 23168 26480 27915 28960 29776 31776 34752 37220 39720 42368 43440 44664 46336 52960 55830 57920 59552 59911 63552 69504 74440 79440 84736 86880 89328 105920 111660 115840 119104 119822 127104 139008 148880 158880 173760 178656 179733 211840 223320 231680 238208 239644 254208 297760 299555 317760 336841 347520 357312 359466 423680 446640 476416 479288 595520 599110 615991 635520 673682 695040 714624 718932 893280 898665 958576 1010523 1191040 1198220 1231982 1271040 1347364 1429248 1437864 1684205 1786560 1797330 1847973 1917152 2021046 2382080 2396440 2463964 2694728 2875728 3079955 3368410 3573120 3594660 3695946 3834304 4042092 4792880 4927928 5052615 5389456 5751456 6159910 6736820 7146240 7189320 7391892 7668608 8084184 9239865 9585760 9855856 10105230 10778912 11502912 12319820 13473640 14378640 14783784 15337216 16168368 18479730 19171520 19711712 20210460 21557824 23005824 24639640 26947280 28757280 29567568 32336736 36959460 38343040 39423424 40420920 43115648 46011648 49279280 53894560 57514560 59135136 64673472 73918920 76686080 78846848 80841840 86231296 98558560 107789120 111494371 115029120 118270272 129346944 147837840 157693696 161683680 197117120 215578240 222988742 230058240 236540544 258693888 295675680 323367360 334483113 394234240 431156480 445977484 473081088 557471855 591351360 646734720 668966226 788468480 891954968 1114943710 1182702720 1293469440 1337932452 1672415565 1783909936 2229887420 2365405440 2675864904 3344831130 3567819872 4459774840 5351729808 6689662260 7135639744 8919549680 10703459616 13379324520 14271279488 17839099360 21406919232 26758649040 28542558976 35678198720 42813838464 53517298080 71356397440 85627676928 107034596160 142712794880 214069192320 428138384640
- Sum of all divisors σ(n): 1379816360832
- Sum of proper divisors (its aliquot sum) s(n): 951677976192
- 428138384640 is an abundant number, because the sum of its proper divisors (951677976192) is greater than itself. Its abundance is 523539591552
Bases of 428138384640
- Binary: 1100011101011110000100101001101000000002
- Hexadecimal: 0x63AF094D00
- Base-36: 5GOMJFUO
Squares and roots of 428138384640
- 428138384640 squared (4281383846402) is 183302476402148587929600
- 428138384640 cubed (4281383846403) is 78478826147327615461435946041344000
-
The
square root of 428138384640 is 654322.8443513187 -
The
cube root of 428138384640 is 7536.9341704625
Scales and comparisons
How big is 428138384640?- 428,138,384,640 seconds is equal to 13,613 years, 24 weeks, 5 days, 9 hours, 4 minutes.
-
To count from 1 to 428,138,384,640 would take you about twenty-seven thousand, two hundred twenty-six 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 428138384640 cubic inches would be around 628.1 feet tall.
Recreational maths with 428138384640
- 428138384640 backwards is 046483831824
- The number of decimal digits it has is: 12
- The sum of 428138384640's digits is 51
- More coming soon!
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