13003146772001148
13,003,146,772,001,148 is an even composite number composed of six prime numbers multiplied together.
What does the number 13003146772001148 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 96 divisors.
13003146772001148 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 13003146772001148:
22 × 3 × 7 × 31 × 109 × 45812182993
(2 × 2 × 3 × 7 × 31 × 109 × 45812182993)See below for interesting mathematical facts about the number 13003146772001148 from the Numbermatics database.
Names of 13003146772001148
- Cardinal: 13003146772001148 can be written as Thirteen quadrillion, three trillion, one hundred forty-six billion, seven hundred seventy-two million, one thousand, one hundred forty-eight.
Scientific notation
- Scientific notation: 1.3003146772001148 × 1016
Factors of 13003146772001148
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 7
- Sum of prime factors: 45812183145
Divisors of 13003146772001148
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 109 124 186 217 218 327 372 434 436 651 654 763 868 1302 1308 1526 2289 2604 3052 3379 4578 6758 9156 10137 13516 20274 23653 40548 47306 70959 94612 141918 283836 45812182993 91624365986 137436548979 183248731972 274873097958 320685280951 549746195916 641370561902 962055842853 1282741123804 1420177672783 1924111685706 2840355345566 3848223371412 4260533018349 4993527946237 5680710691132 8521066036698 9941243709481 9987055892474 14980583838711 17042132073396 19882487418962 19974111784948 29823731128443 29961167677422 34954695623659 39764974837924 59647462256886 59922335354844 69909391247318 104864086870977 119294924513772 139818782494636 154799366333347 209728173741954 309598732666694 419456347483908 464398099000041 619197465333388 928796198000082 1083595564333429 1857592396000164 2167191128666858 3250786693000287 4334382257333716 6501573386000574 13003146772001148
- Sum of all divisors σ(n): 36121990047109120
- Sum of proper divisors (its aliquot sum) s(n): 23118843275107972
- 13003146772001148 is an abundant number, because the sum of its proper divisors (23118843275107972) is greater than itself. Its abundance is 10115696503106824
Bases of 13003146772001148
- Binary: 1011100011001001001011000010000100111010110001011111002
- Hexadecimal: 0x2E324B084EB17C
- Base-36: 3K18B5SQYKC
Squares and roots of 13003146772001148
- 13003146772001148 squared (130031467720011482) is 169081825974203875208988513317904
- 13003146772001148 cubed (130031467720011483) is 2198595799620528981129868198383522326219176953792
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The
square root of 13003146772001148 is 114031341.1830324303 -
The
cube root of 13003146772001148 is 235152.4393290823
Scales and comparisons
How big is 13003146772001148?- 13,003,146,772,001,148 seconds is equal to 413,459,845 years, 50 weeks, 5 days, 4 hours, 45 minutes, 48 seconds.
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To count from 1 to 13,003,146,772,001,148 would take you about one billion, two hundred forty million, three hundred seventy-nine thousand, five hundred thirty-seven 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 13003146772001148 cubic inches would be around 19596 feet tall.
Recreational maths with 13003146772001148
- 13003146772001148 backwards is 84110027764130031
- The number of decimal digits it has is: 17
- The sum of 13003146772001148's digits is 48
- More coming soon!
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