137113447071744
137,113,447,071,744 is an even composite number composed of six prime numbers multiplied together.
What does the number 137113447071744 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2688 divisors.
137113447071744 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 137113447071744:
215 × 36 × 112 × 13 × 41 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 13 × 41 × 89)See below for interesting mathematical facts about the number 137113447071744 from the Numbermatics database.
Names of 137113447071744
- Cardinal: 137113447071744 can be written as One hundred thirty-seven trillion, one hundred thirteen billion, four hundred forty-seven million, seventy-one thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 1.37113447071744 × 1014
Factors of 137113447071744
Divisors of 137113447071744
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 41 44 48 52 54 64 66 72 78 81 82 88 89 96 99 104 108 117 121 123 128 132 143 144 156 162 164 176 178 192 198 208 216 234 242 243 246 256 264 267 286 288 297 312 324 328 351 352 356 363 369 384 396 416 429 432 451 468 484 486 492 512 528 533 534 572 576 594 624 648 656 702 704 712 726 729 738 768 792 801 832 858 864 891 902 936 968 972 979 984 1024 1053 1056 1066 1068 1089 1107 1144 1152 1157 1188 1248 1287 1296 1312 1353 1404 1408 1424 1452 1458 1476 1536 1573 1584 1599 1602 1664 1716 1728 1782 1804 1872 1936 1944 1958 1968 2048 2106 2112 2132 2136 2178 2214 2288 2304 2314 2376 2403 2496 2574 2592 2624 2673 2706 2808 2816 2848 2904 2916 2937 2952 3072 3146 3159 3168 3198 3204 3267 3321 3328 3432 3456 3471 3564 3608 3649 3744 3861 3872 3888 3916 3936 4059 4096 4212 4224 4264 4272 4356 4428 4576 4608 4628 4719 4752 4797 4806 4961 4992 5148 5184 5248 5346 5412 5616 5632 5696 5808 5832 5863 5874 5904 6144 6292 6318 6336 6396 6408 6534 6642 6656 6864 6912 6942 7128 7209 7216 7298 7488 7722 7744 7776 7832 7872 8019 8118 8192 8424 8448 8528 8544 8712 8811 8856 9152 9216 9256 9438 9477 9504 9594 9612 9801 9922 9963 9984 10296 10368 10413 10496 10692 10769 10824 10947 11232 11264 11392 11583 11616 11664 11726 11748 11808 12177 12288 12584 12636 12672 12727 12792 12816 13068 13284 13312 13728 13824 13884 14157 14256 14391 14418 14432 14596 14883 14976 15444 15488 15552 15664 15744 16038 16236 16384 16848 16896 17056 17088 17424 17589 17622 17712 18304 18432 18512 18876 18954 19008 19188 19224 19602 19844 19926 19968 20592 20736 20826 20992 21384 21538 21627 21648 21894 22464 22528 22784 23166 23232 23328 23452 23496 23616 24354 24576 25168 25272 25344 25454 25584 25632 26136 26433 26568 26624 27456 27648 27768 28314 28512 28782 28836 28864 29192 29403 29766 29889 29952 30888 30976 31104 31239 31328 31488 32076 32307 32472 32768 32841 33696 33792 34112 34176 34749 34848 35178 35244 35424 36531 36608 36864 37024 37752 37908 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59253866496 59511044736 59927205888 61930192896 62953832448 64191688704 64312123392 64921139712 65106100224 66949925328 69671467008 70027296768 70531608576 70823061504 73244362752 76005236736 76943572992 79348059648 79902941184 82399908096 85588918272 85749497856 86561519616 87166844928 89266567104 92895289344 94042144768 94430748672 96287533056 97381709568 97659150336 101340315648 104507200512 105797412864 106537254912 109866544128 115415359488 118507732992 119022089472 119854411776 123860385792 125907664896 128383377408 128624246784 129842279424 130212200448 133899850656 139342934016 140054593536 141063217152 141646123008 146488725504 152010473472 153887145984 158696119296 159805882368 164799816192 171177836544 173123039232 178533134208 185790578688 188084289536 188861497344 192575066112 194763419136 195318300672 209014401024 211594825728 219733088256 230830718976 238044178944 239708823552 256766754816 257248493568 259684558848 267799701312 278685868032 282126434304 283292246016 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22852241178624 34278361767936 45704482357248 68556723535872 137113447071744
- Sum of all divisors σ(n): 504156002401800
- Sum of proper divisors (its aliquot sum) s(n): 367042555330056
- 137113447071744 is an abundant number, because the sum of its proper divisors (367042555330056) is greater than itself. Its abundance is 229929108258312
Bases of 137113447071744
- Binary: 111110010110100001101100100111010000000000000002
- Hexadecimal: 0x7CB4364E8000
- Base-36: 1CLP1Q8000
Squares and roots of 137113447071744
- 137113447071744 squared (1371134470717442) is 18800097367895943288283201536
- 137113447071744 cubed (1371134470717443) is 2577746155396634107135351030071244602998784
-
The
square root of 137113447071744 is 11709545.1265941155 -
The
cube root of 137113447071744 is 51565.5929949291
Scales and comparisons
How big is 137113447071744?- 137,113,447,071,744 seconds is equal to 4,359,783 years, 25 weeks, 5 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 137,113,447,071,744 would take you about ten million, eight hundred ninety-nine thousand, four hundred fifty-eight 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 137113447071744 cubic inches would be around 4297.1 feet tall.
Recreational maths with 137113447071744
- 137113447071744 backwards is 447170744311731
- 137113447071744 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137113447071744's digits is 54
- More coming soon!
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"Number 137113447071744 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 137113447071744 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/137113447071744/
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Numbermatics. 2024. "Number 137113447071744 - Facts about the integer". https://numbermatics.com/n/137113447071744/
The information we have on file for 137113447071744 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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