138344782410027648
138,344,782,410,027,648 is an even composite number composed of five prime numbers multiplied together.
What does the number 138344782410027648 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
138344782410027648 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138344782410027648:
27 × 313 × 7 × 132 × 7572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 757 × 757)See below for interesting mathematical facts about the number 138344782410027648 from the Numbermatics database.
Names of 138344782410027648
- Cardinal: 138344782410027648 can be written as One hundred thirty-eight quadrillion, three hundred forty-four trillion, seven hundred eighty-two billion, four hundred ten million, twenty-seven thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.38344782410027648 × 1017
Factors of 138344782410027648
Divisors of 138344782410027648
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 117 126 128 144 156 162 168 169 182 189 192 208 216 224 234 243 252 273 288 312 324 336 338 351 364 378 384 416 432 448 468 486 504 507 546 567 576 624 648 672 676 702 728 729 756 757 819 832 864 896 936 972 1008 1014 1053 1092 1134 1152 1183 1248 1296 1344 1352 1404 1456 1458 1512 1514 1521 1638 1664 1701 1728 1872 1944 2016 2028 2106 2184 2187 2268 2271 2366 2457 2496 2592 2688 2704 2808 2912 2916 3024 3028 3042 3159 3276 3402 3456 3549 3744 3888 4032 4056 4212 4368 4374 4536 4542 4563 4732 4914 4992 5103 5184 5299 5408 5616 5824 5832 6048 6056 6084 6318 6552 6561 6804 6813 7098 7371 7488 7776 8064 8112 8424 8736 8748 9072 9084 9126 9464 9477 9828 9841 10206 10368 10598 10647 10816 11232 11648 11664 12096 12112 12168 12636 13104 13122 13608 13626 13689 14196 14742 14976 15309 15552 15897 16224 16848 17472 17496 18144 18168 18252 18928 18954 19656 19682 19683 20412 20439 21196 21294 21632 22113 22464 23328 24192 24224 24336 25272 26208 26244 27216 27252 27378 28392 28431 29484 29523 30618 31104 31794 31941 32448 33696 34944 34992 36288 36336 36504 37856 37908 39312 39364 39366 40824 40878 41067 42392 42588 44226 44928 45927 46656 47691 48448 48672 50544 52416 52488 54432 54504 54756 56784 56862 58968 59046 59049 61236 61317 63588 63882 64896 66339 67392 68887 69984 72576 72672 73008 75712 75816 78624 78728 78732 81648 81756 82134 84784 85176 85293 88452 88569 91854 93312 95382 95823 96896 97344 101088 104832 104976 108864 109008 109512 113568 113724 117936 118092 118098 122472 122634 123201 127176 127764 127933 132678 134784 137774 137781 139968 143073 145344 146016 151424 151632 157248 157456 157464 163296 163512 164268 169568 170352 170586 176904 177138 177147 183708 183951 190764 191646 194688 199017 202176 206661 209952 217728 218016 219024 227136 227448 235872 236184 236196 244944 245268 246402 254352 255528 255866 255879 265356 265707 275548 275562 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3293923390714944 3547302113077632 3842910622500768 4323274450313364 4940885086072416 5123880830001024 5320953169616448 5764365933751152 6587846781429888 7685821245001536 8646548900626728 9881770172144832 10641906339232896 11528731867502304 15371642490003072 17293097801253456 19763540344289664 23057463735004608 34586195602506912 46114927470009216 69172391205013824 138344782410027648
- Sum of all divisors σ(n): 512288466909392160
- Sum of proper divisors (its aliquot sum) s(n): 373943684499364512
- 138344782410027648 is an abundant number, because the sum of its proper divisors (373943684499364512) is greater than itself. Its abundance is 235598902089336864
Bases of 138344782410027648
- Binary: 1111010110111111111011000101111000001010000010010100000002
- Hexadecimal: 0x1EB7FD8BC141280
- Base-36: 11U74RNMI000
Squares and roots of 138344782410027648
- 138344782410027648 squared (1383447824100276482) is 19139278820077895321188144124411904
- 138344782410027648 cubed (1383447824100276483) is 2647819363848527130241348375213325037902560380321792
-
The
square root of 138344782410027648 is 371947284.4504011807 -
The
cube root of 138344782410027648 is 517194.9331575819
Scales and comparisons
How big is 138344782410027648?- 138,344,782,410,027,648 seconds is equal to 4,398,936,152 years, 6 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,344,782,410,027,648 would take you about thirteen billion, one hundred ninety-six million, eight hundred eight thousand, four hundred fifty-six 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 138344782410027648 cubic inches would be around 43099.6 feet tall.
Recreational maths with 138344782410027648
- 138344782410027648 backwards is 846720014287443831
- 138344782410027648 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138344782410027648's digits is 72
- More coming soon!
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Cite this page
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"Number 138344782410027648 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138344782410027648 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138344782410027648/
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The information we have on file for 138344782410027648 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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