137427386431104
137,427,386,431,104 is an even composite number composed of seven prime numbers multiplied together.
137427386431104 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 137427386431104:
27 × 36 × 7 × 112 × 17 × 29 × 3527
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 17 × 29 × 3527)See below for interesting mathematical facts about the number 137427386431104 from the Numbermatics database.
Names of 137427386431104
- Cardinal: 137427386431104 can be written as One hundred thirty-seven trillion, four hundred twenty-seven billion, three hundred eighty-six million, four hundred thirty-one thousand, one hundred four.
Scientific notation
- Scientific notation: 1.37427386431104 × 1014
Factors of 137427386431104
Divisors of 137427386431104
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 27 28 29 32 33 34 36 42 44 48 51 54 56 58 63 64 66 68 72 77 81 84 87 88 96 99 102 108 112 116 119 121 126 128 132 136 144 153 154 162 168 174 176 187 189 192 198 203 204 216 224 231 232 238 242 243 252 261 264 272 288 297 306 308 319 324 336 348 352 357 363 374 378 384 396 406 408 432 448 459 462 464 476 484 486 493 504 522 528 544 561 567 576 594 609 612 616 638 648 672 693 696 704 714 726 729 748 756 783 792 812 816 847 864 891 896 918 924 928 952 957 968 972 986 1008 1044 1056 1071 1088 1089 1122 1134 1152 1188 1218 1224 1232 1276 1296 1309 1344 1377 1386 1392 1408 1428 1452 1458 1479 1496 1512 1566 1584 1624 1632 1683 1694 1701 1728 1782 1827 1836 1848 1856 1904 1914 1936 1944 1972 2016 2057 2079 2088 2112 2142 2176 2178 2233 2244 2268 2349 2376 2436 2448 2464 2541 2552 2592 2618 2673 2688 2754 2772 2784 2856 2871 2904 2916 2958 2992 3024 3132 3168 3213 3248 3264 3267 3366 3388 3402 3451 3456 3509 3527 3564 3654 3672 3696 3712 3808 3828 3872 3888 3927 3944 4032 4114 4131 4158 4176 4224 4284 4356 4437 4466 4488 4536 4698 4752 4872 4896 4928 5049 5082 5103 5104 5184 5236 5346 5423 5481 5508 5544 5568 5712 5742 5808 5832 5916 5984 6048 6171 6237 6264 6336 6426 6496 6528 6534 6699 6732 6776 6804 6902 7018 7047 7054 7128 7308 7344 7392 7616 7623 7656 7744 7776 7854 7888 8019 8064 8228 8262 8316 8352 8568 8613 8712 8874 8932 8976 9072 9396 9504 9639 9744 9792 9801 9856 10098 10164 10206 10208 10353 10368 10472 10527 10581 10692 10846 10962 11016 11088 11136 11424 11484 11616 11664 11781 11832 11968 12096 12342 12393 12474 12528 12672 12852 12992 13068 13311 13398 13464 13552 13608 13804 14036 14094 14108 14256 14399 14616 14688 14784 15147 15232 15246 15312 15488 15552 15708 15776 16038 16269 16443 16456 16524 16632 16704 17136 17226 17424 17748 17864 17952 18144 18513 18711 18792 19008 19278 19488 19584 19602 20097 20196 20328 20412 20416 20706 20944 21054 21141 21162 21384 21692 21924 22032 22176 22848 22869 22968 23232 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505247744232 520558281936 526541710464 545346771552 565544800128 567881762112 577425993408 592359424272 594923750784 613515117996 636237900144 673663658976 676982199168 694077709248 715767637662 727129028736 734905809792 780837422904 789812565696 818020157328 848317200192 892385626176 898218211968 954356850216 1010495488464 1041116563872 1073651456493 1090693543104 1135763524224 1154851986816 1184718848544 1227030235992 1272475800288 1347327317952 1388155418496 1431535275324 1561674845808 1579625131392 1636040314656 1696634400384 1784771252352 1908713700432 2020990976928 2082233127744 2147302912986 2181387086208 2369437697088 2454060471984 2544951600576 2694654635904 2863070550648 3123349691616 3272080629312 3817427400864 4041981953856 4164466255488 4294605825972 4738875394176 4908120943968 5089903201152 5726141101296 6246699383232 6544161258624 7634854801728 8083963907712 8589211651944 9816241887936 11452282202592 12493398766464 15269709603456 17178423303888 19632483775872 22904564405184 34356846607776 45809128810368 68713693215552 137427386431104
- Sum of all divisors σ(n): 564968594131200
- Sum of proper divisors (its aliquot sum) s(n): 427541207700096
- 137427386431104 is an abundant number, because the sum of its proper divisors (427541207700096) is greater than itself. Its abundance is 290113821268992
Bases of 137427386431104
- Binary: 111110011111101010011101000110011110110100000002
- Hexadecimal: 0x7CFD4E8CF680
- Base-36: 1CPP9PM000
Squares and roots of 137427386431104
- 137427386431104 squared (1374273864311042) is 18886286541283987814138658816
- 137427386431104 cubed (1374273864311043) is 2595492998757593202046622005255167346212864
-
The
square root of 137427386431104 is 11722942.7376876665 -
The
cube root of 137427386431104 is 51604.9184101337
Scales and comparisons
How big is 137427386431104?- 137,427,386,431,104 seconds is equal to 4,369,765 years, 41 weeks, 3 days, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 137,427,386,431,104 would take you about ten million, nine hundred twenty-four thousand, four hundred fourteen 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 137427386431104 cubic inches would be around 4300.4 feet tall.
Recreational maths with 137427386431104
- 137427386431104 backwards is 401134683724731
- 137427386431104 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137427386431104's digits is 54
- More coming soon!
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"Number 137427386431104 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 137427386431104 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/137427386431104/
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The information we have on file for 137427386431104 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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