13746327376371072
13,746,327,376,371,072 is an even composite number composed of six prime numbers multiplied together.
13746327376371072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 13746327376371072:
27 × 3 × 72 × 3372 × 557 × 11549
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 337 × 337 × 557 × 11549)See below for interesting mathematical facts about the number 13746327376371072 from the Numbermatics database.
Names of 13746327376371072
- Cardinal: 13746327376371072 can be written as Thirteen quadrillion, seven hundred forty-six trillion, three hundred twenty-seven billion, three hundred seventy-six million, three hundred seventy-one thousand and seventy-two.
Scientific notation
- Scientific notation: 1.3746327376371072 × 1016
Factors of 13746327376371072
Divisors of 13746327376371072
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 337 384 392 448 557 588 672 674 784 896 1011 1114 1176 1344 1348 1568 1671 2022 2228 2352 2359 2688 2696 3136 3342 3899 4044 4456 4704 4718 5392 6272 6684 7077 7798 8088 8912 9408 9436 10784 11549 11697 13368 14154 15596 16176 16513 17824 18816 18872 21568 23098 23394 26736 27293 28308 31192 32352 33026 34647 35648 37744 43136 46196 46788 49539 53472 54586 56616 62384 64704 66052 69294 71296 75488 80843 81879 92392 93576 99078 106944 109172 113232 113569 124768 129408 132104 138588 150976 161686 163758 184784 187152 187709 198156 213888 218344 226464 227138 242529 249536 264208 277176 301952 323372 327516 340707 369568 374304 375418 396312 436688 452928 454276 485058 499072 528416 554352 563127 565901 646744 655032 681414 739136 748608 750836 792624 794983 873376 905856 908552 970116 1056832 1108704 1126254 1131802 1293488 1310064 1313963 1362828 1478272 1497216 1501672 1585248 1589966 1697703 1746752 1817104 1940232 2113664 2217408 2252508 2263604 2384949 2586976 2620128 2627926 2725656 3003344 3170496 3179932 3395406 3493504 3634208 3880464 3892013 3941889 4434816 4505016 4527208 4769898 5173952 5240256 5255852 5451312 5564881 6006688 6340992 6359864 6432793 6790812 7268416 7760928 7784026 7883778 9010032 9054416 9197741 9539796 10347904 10480512 10511704 10902624 11129762 11676039 12013376 12719728 12865586 13581624 14536832 15521856 15568052 15767556 16694643 18020064 18108832 18395482 19079592 19298379 21023408 21805248 22259524 23352078 24026752 25439456 25731172 27163248 27244091 27593223 31043712 31136104 31535112 33389286 36040128 36217664 36790964 38159184 38596758 42046816 43610496 44519048 45029551 46704156 50878912 51462344 54326496 54488182 55186446 62272208 63070224 63257933 66778572 72080256 72435328 73581928 76318368 77193516 81732273 84093632 89038096 90059102 93408312 101757824 102924688 108652992 108976364 110372892 124544416 126140448 126515866 133557144 135088653 147163856 152636736 154387032 163464546 168187264 178076192 180118204 186816624 189773799 190708637 205849376 217305984 217952728 220745784 249088832 252280896 253031732 267114288 270177306 294327712 305273472 308774064 315206857 326929092 356152384 360236408 373633248 379547598 381417274 411698752 435905456 441491568 442805531 498177664 504561792 506063464 534228576 540354612 572125911 588655424 617548128 630413714 653858184 712304768 720472816 747266496 759095196 762834548 823397504 871810912 882983136 885611062 945620571 1012126928 1068457152 1080709224 1144251822 1177310848 1235096256 1260827428 1307716368 1311608381 1328416593 1440945632 1494532992 1518190392 1525669096 1743621824 1765966272 1771222124 1891241142 2024253856 2136914304 2161418448 2167851241 2288503644 2470192512 2521654856 2615432736 2623216762 2656833186 2881891264 3036380784 3051338192 3099638717 3487243648 3531932544 3542444248 3782482284 3934825143 4048507712 4322836896 4335702482 4577007288 5043309712 5230865472 5246433524 5313666372 5763782528 6072761568 6102676384 6199277434 6503553723 7084888496 7564964568 7869650286 8097015424 8645673792 8671404964 9154014576 9181258667 9298916151 10086619424 10461730944 10492867048 10627332744 12145523136 12205352768 12398554868 13007107446 14169776992 15129929136 15174958687 15739300572 17291347584 17342809928 18308029152 18362517334 18597832302 20173238848 20985734096 21254665488 24291046272 24410705536 24797109736 26014214892 27543776001 28339553984 30259858272 30349917374 31478601144 34685619856 36616058304 36725034668 37195664604 40346477696 41971468192 42509330976 45524876061 49594219472 52028429784 55087552002 56679107968 60519716544 60699834748 62957202288 64268810669 69371239712 73232116608 73450069336 74391329208 83942936384 85018661952 91049752122 99188438944 104056859568 106224710809 110175104004 121039433088 121399669496 125914404576 128537621338 138742479424 146900138672 148782658416 167885872768 170037323904 182099504244 192806432007 198376877888 208113719136 212449421618 220350208008 242799338992 251828809152 257075242676 277484958848 293800277344 297565316832 318674132427 364199008488 385612864014 396753755776 416227438272 424898843236 440700416016 485598677984 503657618304 514150485352 587600554688 595130633664 637348264854 728398016976 730565868217 771225728028 832454876544 849797686472 881400832032 971197355968 1028300970704 1175201109376 1190261267328 1274696529708 1456796033952 1461131736434 1542451456056 1699595372944 1762801664064 1942394711936 2056601941408 2191697604651 2549393059416 2913592067904 2922263472868 3084902912112 3399190745888 3525603328128 4113203882816 4383395209302 5098786118832 5113961077519 5827184135808 5844526945736 6169805824224 6798381491776 8226407765632 8766790418604 10197572237664 10227922155038 11689053891472 12339611648448 13596762983552 15341883232557 17533580837208 20395144475328 20455844310076 23378107782944 24679223296896 30683766465114 35067161674416 35797727542633 40790288950656 40911688620152 46756215565888 61367532930228 70134323348832 71595455085266 81823377240304 93512431131776 107393182627899 122735065860456 140268646697664 143190910170532 163646754480608 214786365255798 245470131720912 280537293395328 286381820341064 327293508961216 429572730511596 490940263441824 572763640682128 654587017922432 859145461023192 981880526883648 1145527281364256 1718290922046384 1963761053767296 2291054562728512 3436581844092768 4582109125457024 6873163688185536 13746327376371072
- Sum of all divisors σ(n): 42681691700802000
- Sum of proper divisors (its aliquot sum) s(n): 28935364324430928
- 13746327376371072 is an abundant number, because the sum of its proper divisors (28935364324430928) is greater than itself. Its abundance is 15189036948059856
Bases of 13746327376371072
- Binary: 1100001101011000110110010000000011110000011101100000002
- Hexadecimal: 0x30D636403C1D80
- Base-36: 3RCNZM88I2O
Squares and roots of 13746327376371072
- 13746327376371072 squared (137463273763710722) is 188961516338368799760271838429184
- 13746327376371072 cubed (137463273763710723) is 2597526865122708639119598197065584448170778165248
-
The
square root of 13746327376371072 is 117244732.8299701147 -
The
cube root of 13746327376371072 is 239549.6611576945
Scales and comparisons
How big is 13746327376371072?- 13,746,327,376,371,072 seconds is equal to 437,090,690 years, 20 weeks, 14 hours, 11 minutes, 12 seconds.
-
To count from 1 to 13,746,327,376,371,072 would take you about one billion, three hundred eleven million, two hundred seventy-two thousand and seventy-one 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 13746327376371072 cubic inches would be around 19962.5 feet tall.
Recreational maths with 13746327376371072
- 13746327376371072 backwards is 27017367372364731
- The number of decimal digits it has is: 17
- The sum of 13746327376371072's digits is 69
- More coming soon!
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