12007314910002048
12,007,314,910,002,048 is an even composite number composed of five prime numbers multiplied together.
What does the number 12007314910002048 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 128 divisors.
12007314910002048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 12007314910002048:
27 × 3 × 7 × 13 × 343615925767
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 343615925767)See below for interesting mathematical facts about the number 12007314910002048 from the Numbermatics database.
Names of 12007314910002048
- Cardinal: 12007314910002048 can be written as Twelve quadrillion, seven trillion, three hundred fourteen billion, nine hundred ten million, two thousand and forty-eight.
Scientific notation
- Scientific notation: 1.2007314910002048 × 1016
Factors of 12007314910002048
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 343615925792
Divisors of 12007314910002048
- Number of divisors d(n): 128
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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 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 17472 34944 343615925767 687231851534 1030847777301 1374463703068 2061695554602 2405311480369 2748927406136 4123391109204 4467007034971 4810622960738 5497854812272 7215934441107 8246782218408 8934014069942 9621245921476 10995709624544 13401021104913 14431868882214 16493564436816 17868028139884 19242491842952 21991419249088 26802042209826 28863737764428 31269049244797 32987128873632 35736056279768 38484983685904 43982838498176 53604084419652 57727475528856 62538098489594 65974257747264 71472112559536 76969967371808 93807147734391 107208168839304 115454951057712 125076196979188 131948515494528 142944225119072 153939934743616 187614295468782 214416337678608 230909902115424 250152393958376 285888450238144 307879869487232 375228590937564 428832675357216 461819804230848 500304787916752 571776900476288 750457181875128 857665350714432 923639608461696 1000609575833504 1500914363750256 1715330701428864 2001219151667008 3001828727500512 4002438303334016 6003657455001024 12007314910002048
- Sum of all divisors σ(n): 39254683359736320
- Sum of proper divisors (its aliquot sum) s(n): 27247368449734272
- 12007314910002048 is an abundant number, because the sum of its proper divisors (27247368449734272) is greater than itself. Its abundance is 15240053539732224
Bases of 12007314910002048
- Binary: 1010101010100010010110110110111110101010111011100000002
- Hexadecimal: 0x2AA896DBEABB80
- Base-36: 3A88KBHQBUO
Squares and roots of 12007314910002048
- 12007314910002048 squared (120073149100020482) is 144175611347957490061871364194304
- 12007314910002048 cubed (120073149100020483) is 1731161967796990440118125470731953268826509934592
-
The
square root of 12007314910002048 is 109577894.2579298153 -
The
cube root of 12007314910002048 is 228989.3584040791
Scales and comparisons
How big is 12007314910002048?- 12,007,314,910,002,048 seconds is equal to 381,795,473 years, 3 weeks, 6 days, 2 hours, 20 minutes, 48 seconds.
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To count from 1 to 12,007,314,910,002,048 would take you about one billion, one hundred forty-five million, three hundred eighty-six thousand, four hundred nineteen 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 12007314910002048 cubic inches would be around 19082.4 feet tall.
Recreational maths with 12007314910002048
- 12007314910002048 backwards is 84020001941370021
- 12007314910002048 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12007314910002048's digits is 42
- More coming soon!
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