12948955391670211584
12,948,955,391,670,211,584 is an even composite number composed of five prime numbers multiplied together.
12948955391670211584 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 12948955391670211584:
210 × 32 × 11 × 677 × 188673503867
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 677 × 188673503867)See below for interesting mathematical facts about the number 12948955391670211584 from the Numbermatics database.
Names of 12948955391670211584
- Cardinal: 12948955391670211584 can be written as Twelve quintillion, nine hundred forty-eight quadrillion, nine hundred fifty-five trillion, three hundred ninety-one billion, six hundred seventy million, two hundred eleven thousand, five hundred eighty-four.
Scientific notation
- Scientific notation: 1.2948955391670211584 × 1019
Factors of 12948955391670211584
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 188673504560
Divisors of 12948955391670211584
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 677 704 768 792 1024 1056 1152 1354 1408 1536 1584 2031 2112 2304 2708 2816 3072 3168 4062 4224 4608 5416 5632 6093 6336 7447 8124 8448 9216 10832 11264 12186 12672 14894 16248 16896 21664 22341 24372 25344 29788 32496 33792 43328 44682 48744 50688 59576 64992 67023 86656 89364 97488 101376 119152 129984 134046 173312 178728 194976 238304 259968 268092 346624 357456 389952 476608 519936 536184 693248 714912 779904 953216 1039872 1072368 1429824 1559808 1906432 2079744 2144736 2859648 3119616 3812864 4289472 5719296 6239232 7625728 8578944 11438592 17157888 22877184 34315776 68631552 188673503867 377347007734 566020511601 754694015468 1132041023202 1509388030936 1698061534803 2075408542537 2264082046404 3018776061872 3396123069606 4150817085074 4528164092808 6037552123744 6226225627611 6792246139212 8301634170148 9056328185616 12075104247488 12452451255222 13584492278424 16603268340296 18112656371232 18678676882833 24150208494976 24904902510444 27168984556848 33206536680592 36225312742464 37357353765666 48300416989952 49809805020888 54337969113696 66413073361184 72450625484928 74714707531332 96600833979904 99619610041776 108675938227392 127731962117959 132826146722368 144901250969856 149429415062664 193201667959808 199239220083552 217351876454784 255463924235918 265652293444736 289802501939712 298858830125328 383195886353877 398478440167104 434703752909568 510927848471836 531304586889472 579605003879424 597717660250656 766391772707754 796956880334208 869407505819136 1021855696943672 1062609173778944 1149587659061631 1195435320501312 1405051583297549 1532783545415508 1593913760668416 1738815011638272 2043711393887344 2125218347557888 2299175318123262 2390870641002624 2810103166595098 3065567090831016 3187827521336832 4087422787774688 4215154749892647 4598350636246524 4781741282005248 5620206333190196 6131134181662032 6375655042673664 8174845575549376 8430309499785294 9196701272493048 9563482564010496 11240412666380392 12262268363324064 12645464249677941 16349691151098752 16860618999570588 18393402544986096 19126965128020992 22480825332760784 24524536726648128 25290928499355882 32699382302197504 33721237999141176 36786805089972192 44961650665521568 49049073453296256 50581856998711764 65398764604395008 67442475998282352 73573610179944384 89923301331043136 98098146906592512 101163713997423528 130797529208790016 134884951996564704 147147220359888768 179846602662086272 196196293813185024 202327427994847056 269769903993129408 294294440719777536 359693205324172544 392392587626370048 404654855989694112 539539807986258816 588588881439555072 719386410648345088 809309711979388224 1079079615972517632 1177177762879110144 1438772821296690176 1618619423958776448 2158159231945035264 3237238847917552896 4316318463890070528 6474477695835105792 12948955391670211584
- Sum of all divisors σ(n): 40849152414605447328
- Sum of proper divisors (its aliquot sum) s(n): 27900197022935235744
- 12948955391670211584 is an abundant number, because the sum of its proper divisors (27900197022935235744) is greater than itself. Its abundance is 14951241631265024160
Bases of 12948955391670211584
- Binary: 10110011101100111110111001010010011111001110000111010100000000002
- Hexadecimal: 0xB3B3EE527CE1D400
- Base-36: 2QDOLLCMNTVK0
Squares and roots of 12948955391670211584
- 12948955391670211584 squared (129489553916702115842) is 167675445735465042688944082255327789056
- 12948955391670211584 cubed (129489553916702115843) is 2171221867106956050503319681254859045224571530838439624704
-
The
square root of 12948955391670211584 is 3598465699.6656521671 -
The
cube root of 12948955391670211584 is 2348253.1392042363
Scales and comparisons
How big is 12948955391670211584?- 12,948,955,391,670,211,584 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,948,955,391,670,211,584 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 12948955391670211584 cubic inches would be around 195687.8 feet tall.
Recreational maths with 12948955391670211584
- 12948955391670211584 backwards is 48511207619355984921
- The number of decimal digits it has is: 20
- The sum of 12948955391670211584's digits is 90
- More coming soon!
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