46938985329138336
46,938,985,329,138,336 is an even composite number composed of five prime numbers multiplied together.
46938985329138336 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 46938985329138336:
25 × 32 × 72 × 367 × 9063147859
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 367 × 9063147859)See below for interesting mathematical facts about the number 46938985329138336 from the Numbermatics database.
Names of 46938985329138336
- Cardinal: 46938985329138336 can be written as Forty-six quadrillion, nine hundred thirty-eight trillion, nine hundred eighty-five billion, three hundred twenty-nine million, one hundred thirty-eight thousand, three hundred thirty-six.
Scientific notation
- Scientific notation: 4.6938985329138336 × 1016
Factors of 46938985329138336
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 9063148238
Divisors of 46938985329138336
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 367 392 441 504 588 672 734 784 882 1008 1101 1176 1468 1568 1764 2016 2202 2352 2569 2936 3303 3528 4404 4704 5138 5872 6606 7056 7707 8808 10276 11744 13212 14112 15414 17616 17983 20552 23121 26424 30828 35232 35966 41104 46242 52848 53949 61656 71932 82208 92484 105696 107898 123312 143864 161847 184968 215796 246624 287728 323694 369936 431592 575456 647388 739872 863184 1294776 1726368 2589552 5179104 9063147859 18126295718 27189443577 36252591436 54378887154 63442035013 72505182872 81568330731 108757774308 126884070026 145010365744 163136661462 190326105039 217515548616 253768140052 290020731488 326273322924 380652210078 435031097232 444094245091 507536280104 570978315117 652546645848 761304420156 870062194464 888188490182 1015072560208 1141956630234 1305093291696 1332282735273 1522608840312 1776376980364 2030145120416 2283913260468 2610186583392 2664565470546 3045217680624 3326175264253 3552753960728 3996848205819 4567826520936 5329130941092 6090435361248 6652350528506 7105507921456 7993696411638 9135653041872 9978525792759 10658261882184 13304701057012 14211015842912 15987392823276 18271306083744 19957051585518 21316523764368 23283226849771 26609402114024 29935577378277 31974785646552 39914103171036 42633047528736 46566453699542 53218804228048 59871154756554 63949571293104 69849680549313 79828206342072 93132907399084 106437608456096 119742309513108 127899142586208 139699361098626 159656412684144 162982587948397 186265814798168 209549041647939 239484619026216 279398722197252 319312825368288 325965175896794 372531629596336 419098083295878 478969238052432 488947763845191 558797444394504 651930351793588 745063259192672 838196166591756 957938476104864 977895527690382 1117594888789008 1303860703587176 1466843291535573 1676392333183512 1955791055380764 2235189777578016 2607721407174352 2933686583071146 3352784666367024 3911582110761528 5215442814348704 5867373166142292 6705569332734048 7823164221523056 11734746332284584 15646328443046112 23469492664569168 46938985329138336
- Sum of all divisors σ(n): 155698934809803840
- Sum of proper divisors (its aliquot sum) s(n): 108759949480665504
- 46938985329138336 is an abundant number, because the sum of its proper divisors (108759949480665504) is greater than itself. Its abundance is 61820964151527168
Bases of 46938985329138336
- Binary: 101001101100001011000010001010101010100100011010101000002
- Hexadecimal: 0xA6C2C22AA91AA0
- Base-36: CU6HC68A5K0
Squares and roots of 46938985329138336
- 46938985329138336 squared (469389853291383362) is 2203268343729063941189964224848896
- 46938985329138336 cubed (469389853291383363) is 103419180462453452816016753341585641476855480877056
-
The
square root of 46938985329138336 is 216654068.3419961445 -
The
cube root of 46938985329138336 is 360726.3763207861
Scales and comparisons
How big is 46938985329138336?- 46,938,985,329,138,336 seconds is equal to 1,492,514,541 years, 33 weeks, 6 days, 7 hours, 45 minutes, 36 seconds.
-
To count from 1 to 46,938,985,329,138,336 would take you about four billion, four hundred seventy-seven million, five hundred forty-three thousand, six hundred twenty-four 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 46938985329138336 cubic inches would be around 30060.5 feet tall.
Recreational maths with 46938985329138336
- 46938985329138336 backwards is 63383192358983964
- The number of decimal digits it has is: 17
- The sum of 46938985329138336's digits is 90
- More coming soon!
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