12137093259502848
12,137,093,259,502,848 is an even composite number composed of six prime numbers multiplied together.
12137093259502848 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 12137093259502848:
28 × 3 × 7 × 13 × 43 × 4038718847
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 43 × 4038718847)See below for interesting mathematical facts about the number 12137093259502848 from the Numbermatics database.
Names of 12137093259502848
- Cardinal: 12137093259502848 can be written as Twelve quadrillion, one hundred thirty-seven trillion, ninety-three billion, two hundred fifty-nine million, five hundred two thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.2137093259502848 × 1016
Factors of 12137093259502848
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 4038718915
Divisors of 12137093259502848
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 43 48 52 56 64 78 84 86 91 96 104 112 128 129 156 168 172 182 192 208 224 256 258 273 301 312 336 344 364 384 416 448 516 546 559 602 624 672 688 728 768 832 896 903 1032 1092 1118 1204 1248 1344 1376 1456 1664 1677 1792 1806 2064 2184 2236 2408 2496 2688 2752 2912 3328 3354 3612 3913 4128 4368 4472 4816 4992 5376 5504 5824 6708 7224 7826 8256 8736 8944 9632 9984 11008 11648 11739 13416 14448 15652 16512 17472 17888 19264 23296 23478 26832 28896 31304 33024 34944 35776 38528 46956 53664 57792 62608 69888 71552 77056 93912 107328 115584 125216 143104 187824 214656 231168 250432 375648 429312 500864 751296 1001728 1502592 3005184 4038718847 8077437694 12116156541 16154875388 24232313082 28271031929 32309750776 48464626164 52503345011 56542063858 64619501552 84813095787 96929252328 105006690022 113084127716 129239003104 157510035033 169626191574 173664910421 193858504656 210013380044 226168255432 258478006208 315020070066 339252383148 347329820842 367523415077 387717009312 420026760088 452336510864 516956012416 520994731263 630040140132 678504766296 694659641684 735046830154 775434018624 840053520176 904673021728 1033912024832 1041989462526 1102570245231 1215654372947 1260080280264 1357009532592 1389319283368 1470093660308 1550868037248 1680107040352 1809346043456 2083978925052 2205140490462 2257643835473 2431308745894 2520160560528 2714019065184 2778638566736 2940187320616 3101736074496 3360214080704 3618692086912 3646963118841 4167957850104 4410280980924 4515287670946 4862617491788 5040321121056 5428038130368 5557277133472 5880374641232 6720428161408 6772931506419 7237384173824 7293926237682 8335915700208 8820561961848 9030575341892 9725234983576 10080642242112 10856076260736 11114554266944 11760749282464 13440856322816 13545863012838 14587852475364 15803506848311 16671831400416 17641123923696 18061150683784 19450469967152 20161284484224 21712152521472 22229108533888 23521498564928 27091726025676 29175704950728 31607013696622 33343662800832 35282247847392 36122301367568 38900939934304 40322568968448 44458217067776 47042997129856 47410520544933 54183452051352 58351409901456 63214027393244 66687325601664 70564495694784 72244602735136 77801879868608 94085994259712 94821041089866 108366904102704 116702819802912 126428054786488 133374651203328 141128991389568 144489205470272 155603759737216 189642082179732 216733808205408 233405639605824 252856109572976 282257982779136 288978410940544 311207519474432 379284164359464 433467616410816 466811279211648 505712219145952 577956821881088 758568328718928 866935232821632 933622558423296 1011424438291904 1517136657437856 1733870465643264 2022848876583808 3034273314875712 4045697753167616 6068546629751424 12137093259502848
- Sum of all divisors σ(n): 40681336451137536
- Sum of proper divisors (its aliquot sum) s(n): 28544243191634688
- 12137093259502848 is an abundant number, because the sum of its proper divisors (28544243191634688) is greater than itself. Its abundance is 16407149932131840
Bases of 12137093259502848
- Binary: 1010110001111010011111001111000101011010100101000000002
- Hexadecimal: 0x2B1E9F3C56A500
- Base-36: 3BI8NO48VEO
Squares and roots of 12137093259502848
- 12137093259502848 squared (121370932595028482) is 147309032789869467223456120111104
- 12137093259502848 cubed (121370932595028483) is 1787903468937808726648051003937155152533564424192
-
The
square root of 12137093259502848 is 110168476.7050123463 -
The
cube root of 12137093259502848 is 229811.3971152391
Scales and comparisons
How big is 12137093259502848?- 12,137,093,259,502,848 seconds is equal to 385,922,023 years, 8 weeks, 1 day, 10 hours, 20 minutes, 48 seconds.
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To count from 1 to 12,137,093,259,502,848 would take you about one billion, one hundred fifty-seven million, seven hundred sixty-six thousand and sixty-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 12137093259502848 cubic inches would be around 19150.9 feet tall.
Recreational maths with 12137093259502848
- 12137093259502848 backwards is 84820595239073121
- The number of decimal digits it has is: 17
- The sum of 12137093259502848's digits is 69
- More coming soon!
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