131121287704608768
131,121,287,704,608,768 is an even composite number composed of three prime numbers multiplied together.
What does the number 131121287704608768 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 2002 divisors.
131121287704608768 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of two thousand and two divisors.
Prime factorization of 131121287704608768:
221 × 312 × 76
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7)See below for interesting mathematical facts about the number 131121287704608768 from the Numbermatics database.
Names of 131121287704608768
- Cardinal: 131121287704608768 can be written as One hundred thirty-one quadrillion, one hundred twenty-one trillion, two hundred eighty-seven billion, seven hundred four million, six hundred eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31121287704608768 × 1017
Factors of 131121287704608768
Divisors of 131121287704608768
- Number of divisors d(n): 2002
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 243 252 256 288 294 324 336 343 378 384 392 432 441 448 486 504 512 567 576 588 648 672 686 729 756 768 784 864 882 896 972 1008 1024 1029 1134 1152 1176 1296 1323 1344 1372 1458 1512 1536 1568 1701 1728 1764 1792 1944 2016 2048 2058 2187 2268 2304 2352 2401 2592 2646 2688 2744 2916 3024 3072 3087 3136 3402 3456 3528 3584 3888 3969 4032 4096 4116 4374 4536 4608 4704 4802 5103 5184 5292 5376 5488 5832 6048 6144 6174 6272 6561 6804 6912 7056 7168 7203 7776 7938 8064 8192 8232 8748 9072 9216 9261 9408 9604 10206 10368 10584 10752 10976 11664 11907 12096 12288 12348 12544 13122 13608 13824 14112 14336 14406 15309 15552 15876 16128 16384 16464 16807 17496 18144 18432 18522 18816 19208 19683 20412 20736 21168 21504 21609 21952 23328 23814 24192 24576 24696 25088 26244 27216 27648 27783 28224 28672 28812 30618 31104 31752 32256 32768 32928 33614 34992 35721 36288 36864 37044 37632 38416 39366 40824 41472 42336 43008 43218 43904 45927 46656 47628 48384 49152 49392 50176 50421 52488 54432 55296 55566 56448 57344 57624 59049 61236 62208 63504 64512 64827 65536 65856 67228 69984 71442 72576 73728 74088 75264 76832 78732 81648 82944 83349 84672 86016 86436 87808 91854 93312 95256 96768 98304 98784 100352 100842 104976 107163 108864 110592 111132 112896 114688 115248 117649 118098 122472 124416 127008 129024 129654 131072 131712 134456 137781 139968 142884 145152 147456 148176 150528 151263 153664 157464 163296 165888 166698 169344 172032 172872 175616 177147 183708 186624 190512 193536 194481 196608 197568 200704 201684 209952 214326 217728 221184 222264 225792 229376 230496 235298 236196 244944 248832 250047 254016 258048 259308 262144 263424 268912 275562 279936 285768 290304 294912 296352 301056 302526 307328 314928 321489 326592 331776 333396 338688 344064 345744 351232 352947 354294 367416 373248 381024 387072 388962 393216 395136 401408 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8195080481538048 9365806264614912 10926773975384064 14569031967178752 16390160963076096 18731612529229824 21853547950768128 32780321926152192 43707095901536256 65560643852304384 131121287704608768
- Sum of all divisors σ(n): 458923552445133231
- Sum of proper divisors (its aliquot sum) s(n): 327802264740524463
- 131121287704608768 is an abundant number, because the sum of its proper divisors (327802264740524463) is greater than itself. Its abundance is 196680977035915695
Bases of 131121287704608768
- Binary: 1110100011101011000011101110100000010000000000000000000002
- Hexadecimal: 0x1D1D61DD0200000
- Base-36: ZV2M8000000
Squares and roots of 131121287704608768
- 131121287704608768 squared (1311212877046087682) is 17192792089314786479762347942477824
- 131121287704608768 cubed (1311212877046087683) is 2254341037988565803888876182047899168376122435960832
-
The
square root of 131121287704608768 is 362106735.2378422249 -
131121287704608768 is a
perfect cube number . Itscube root is 508032 - Being both a perfect square and a perfect cube, 131121287704608768 is also a
perfect sixth number .
Scales and comparisons
How big is 131121287704608768?- 131,121,287,704,608,768 seconds is equal to 4,169,251,364 years, 12 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 131,121,287,704,608,768 would take you about twelve billion, five hundred seven million, seven hundred fifty-four thousand and ninety-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 131121287704608768 cubic inches would be around 42336 feet tall.
Recreational maths with 131121287704608768
- 131121287704608768 backwards is 867806407782121131
- 131121287704608768 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 131121287704608768's digits is 72
- More coming soon!
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"Number 131121287704608768 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
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Numbermatics. (2024). Number 131121287704608768 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/131121287704608768/
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The information we have on file for 131121287704608768 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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