12985014237009984
12,985,014,237,009,984 is an even composite number composed of four prime numbers multiplied together.
12985014237009984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 12985014237009984:
26 × 37 × 13 × 7136254351
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 7136254351)See below for interesting mathematical facts about the number 12985014237009984 from the Numbermatics database.
Names of 12985014237009984
- Cardinal: 12985014237009984 can be written as Twelve quadrillion, nine hundred eighty-five trillion, fourteen billion, two hundred thirty-seven million, nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.2985014237009984 × 1016
Factors of 12985014237009984
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 7136254369
Divisors of 12985014237009984
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 243 288 312 324 351 416 432 468 486 576 624 648 702 729 832 864 936 972 1053 1248 1296 1404 1458 1728 1872 1944 2106 2187 2496 2592 2808 2916 3159 3744 3888 4212 4374 5184 5616 5832 6318 7488 7776 8424 8748 9477 11232 11664 12636 15552 16848 17496 18954 22464 23328 25272 28431 33696 34992 37908 46656 50544 56862 67392 69984 75816 101088 113724 139968 151632 202176 227448 303264 454896 606528 909792 1819584 7136254351 14272508702 21408763053 28545017404 42817526106 57090034808 64226289159 85635052212 92771306563 114180069616 128452578318 171270104424 185542613126 192678867477 228360139232 256905156636 278313919689 342540208848 371085226252 385357734954 456720278464 513810313272 556627839378 578036602431 685080417696 742170452504 770715469908 834941759067 1027620626544 1113255678756 1156073204862 1370160835392 1484340905008 1541430939816 1669883518134 1734109807293 2055241253088 2226511357512 2312146409724 2504825277201 2968681810016 3082861879632 3339767036268 3468219614586 4110482506176 4453022715024 4624292819448 5009650554402 5202329421879 5937363620032 6165723759264 6679534072536 6936439229172 7514475831603 8906045430048 9248585638896 10019301108804 10404658843758 12331447518528 13359068145072 13872878458344 15028951663206 15606988265637 17812090860096 18497171277792 20038602217608 20809317687516 22543427494809 26718136290144 27745756916688 30057903326412 31213976531274 36994342555584 40077204435216 41618635375032 45086854989618 53436272580288 55491513833376 60115806652824 62427953062548 67630282484427 80154408870432 83237270750064 90173709979236 110983027666752 120231613305648 124855906125096 135260564968854 160308817740864 166474541500128 180347419958472 202890847453281 240463226611296 249711812250192 270521129937708 332949083000256 360694839916944 405781694906562 480926453222592 499423624500384 541042259875416 721389679833888 811563389813124 998847249000768 1082084519750832 1442779359667776 1623126779626248 2164169039501664 3246253559252496 4328338079003328 6492507118504992 12985014237009984
- Sum of all divisors σ(n): 41617493580167680
- Sum of proper divisors (its aliquot sum) s(n): 28632479343157696
- 12985014237009984 is an abundant number, because the sum of its proper divisors (28632479343157696) is greater than itself. Its abundance is 15647465106147712
Bases of 12985014237009984
- Binary: 1011100010000111001101001110010000000000011000010000002
- Hexadecimal: 0x2E21CD39001840
- Base-36: 3JUSX6TL000
Squares and roots of 12985014237009984
- 12985014237009984 squared (129850142370099842) is 168610594735351976933284515680256
- 12985014237009984 cubed (129850142370099843) is 2189410973149266075862632789417475812409223675904
-
The
square root of 12985014237009984 is 113951806.6421501891 -
The
cube root of 12985014237009984 is 235043.0839190707
Scales and comparisons
How big is 12985014237009984?- 12,985,014,237,009,984 seconds is equal to 412,883,287 years, 23 weeks, 3 days, 1 hour, 26 minutes, 24 seconds.
-
To count from 1 to 12,985,014,237,009,984 would take you about one billion, two hundred thirty-eight million, six hundred forty-nine thousand, eight hundred sixty-two 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 12985014237009984 cubic inches would be around 19586.9 feet tall.
Recreational maths with 12985014237009984
- 12985014237009984 backwards is 48990073241058921
- 12985014237009984 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12985014237009984's digits is 72
- More coming soon!
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