4672013138688
4,672,013,138,688 is an even composite number composed of eight prime numbers multiplied together.
What does the number 4672013138688 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
4672013138688 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 4672013138688:
28 × 3 × 72 × 19 × 31 × 41 × 53 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 31 × 41 × 53 × 97)See below for interesting mathematical facts about the number 4672013138688 from the Numbermatics database.
Names of 4672013138688
- Cardinal: 4672013138688 can be written as Four trillion, six hundred seventy-two billion, thirteen million, one hundred thirty-eight thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 4.672013138688 × 1012
Factors of 4672013138688
Divisors of 4672013138688
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 32 38 41 42 48 49 53 56 57 62 64 76 82 84 93 96 97 98 106 112 114 123 124 128 133 147 152 159 164 168 186 192 194 196 212 217 224 228 246 248 256 266 287 291 294 304 318 328 336 371 372 384 388 392 399 424 434 448 456 492 496 532 574 582 588 589 608 636 651 656 672 679 742 744 768 776 779 784 798 848 861 868 896 912 931 984 992 1007 1064 1113 1148 1164 1176 1178 1216 1271 1272 1302 1312 1344 1358 1484 1488 1519 1552 1558 1568 1596 1643 1696 1722 1736 1767 1792 1824 1843 1862 1968 1984 2009 2014 2037 2128 2173 2226 2296 2328 2337 2352 2356 2432 2542 2544 2597 2604 2624 2688 2716 2793 2968 2976 3007 3021 3038 3104 3116 3136 3192 3286 3392 3444 3472 3534 3648 3686 3724 3813 3936 3968 3977 4018 4028 4074 4123 4256 4346 4452 4557 4592 4656 4674 4704 4712 4753 4864 4929 5084 5088 5141 5194 5208 5248 5376 5432 5453 5529 5586 5936 5952 6014 6027 6042 6076 6208 6232 6272 6384 6519 6572 6784 6888 6944 7049 7068 7296 7372 7448 7626 7791 7872 7936 7954 8036 8056 8148 8246 8512 8692 8897 8904 9021 9114 9184 9312 9348 9408 9424 9506 9858 10168 10176 10282 10388 10416 10496 10864 10906 11058 11172 11501 11872 11904 11931 12028 12054 12084 12152 12369 12416 12464 12544 12768 12901 13038 13144 13568 13776 13888 14098 14136 14259 14592 14744 14896 15211 15252 15423 15582 15744 15908 16072 16112 16296 16359 16492 17024 17384 17794 17808 18042 18228 18368 18624 18696 18816 18848 19012 19716 20336 20352 20564 20776 20832 21049 21147 21728 21812 22116 22344 23002 23744 23808 23862 24056 24108 24149 24168 24304 24738 24832 24928 25536 25802 26076 26288 26691 27552 27776 27839 28196 28272 28518 28861 29488 29792 30422 30504 30846 31164 31217 31488 31816 32144 32224 32592 32718 32984 34048 34503 34768 35588 35616 35987 36084 36456 36736 37248 37392 37632 37696 38024 38171 38703 39432 40672 40704 41128 41287 41552 41664 42098 42294 43456 43624 44232 44688 45633 46004 47488 47724 48112 48216 48298 48336 48608 49343 49476 49856 51072 51604 52152 52576 53382 55104 55552 55678 56392 56544 57036 57133 57722 58976 59584 60844 61008 61692 62279 62328 62434 63147 63632 64288 64448 65184 65436 65968 67363 69006 69536 71176 71232 71974 72168 72447 72912 73472 74496 74784 75392 75563 76048 76342 77406 78864 80507 81344 82256 82574 83104 83328 83517 84196 84588 86583 86912 87248 88464 89376 90307 91266 92008 93651 94976 95448 96224 96432 96596 96672 97216 97679 98686 98952 99712 102144 103208 104304 105152 106477 106764 107961 110208 111356 112784 113088 114072 114266 114513 115444 117952 119168 121688 122016 123287 123384 123861 124558 124656 124868 126294 127264 128576 128896 130368 130872 131936 134726 138012 139072 142352 142464 143948 144336 144894 145824 147343 148029 149568 150784 151126 152096 152684 154812 157728 159371 161014 162688 164512 165148 166208 166656 167034 168392 169043 169176 171399 173166 173824 174496 176928 178752 180614 182532 184016 186837 187302 190896 192448 192864 193192 193344 194432 194873 195358 197372 197904 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2509137024 2535004416 2561410712 2607150189 2644036864 2691251808 2713131904 2754724728 2843586816 2927326528 2979600216 2998724736 3010317744 3075716352 3139793776 3148256832 3440363136 3476200252 3560985624 3588335744 3672966304 3675856128 3842116068 3966055296 3972800288 4013756992 4069697856 4197675776 4390989792 4639536384 4709690664 4747980832 5018274048 5122821424 5214300378 5382503616 5426263808 5509449456 5854653056 5959200432 5997449472 6020635488 6083350441 6279587552 6296513664 6880726272 6952400504 7121971248 7176671488 7345932608 7684232136 7932110592 7945600576 8027513984 8139395712 8781979584 9419381328 9495961664 10245642848 10428600756 10765007232 11018898912 11709306112 11918400864 12041270976 12166700882 12559175104 12593027328 13904801008 14243942496 14691865216 15368464272 15891201152 16055027968 16278791424 17563959168 18250051323 18838762656 18991923328 20491285696 20857201512 21530014464 22037797824 23836801728 24082541952 24333401764 25118350208 27809602016 28487884992 29383730432 30736928544 31782402304 35127918336 36500102646 37677525312 37983846656 40982571392 41714403024 44075595648 47673603456 48165083904 48666803528 50236700416 55619204032 56975769984 61473857088 73000205292 75355050624 81965142784 83428806048 88151191296 95347206912 97333607056 111238408064 113951539968 122947714176 146000410584 150710101248 166857612096 194667214112 222476816128 245895428352 292000821168 333715224192 389334428224 584001642336 667430448384 778668856448 1168003284672 1557337712896 2336006569344 4672013138688
- Sum of all divisors σ(n): 16573141831680
- Sum of proper divisors (its aliquot sum) s(n): 11901128692992
- 4672013138688 is an abundant number, because the sum of its proper divisors (11901128692992) is greater than itself. Its abundance is 7229115554304
Bases of 4672013138688
- Binary: 10000111111110010011010111011111011000000002
- Hexadecimal: 0x43FC9AEFB00
- Base-36: 1NMAJZTHC
Squares and roots of 4672013138688
- 4672013138688 squared (46720131386882) is 21827706768073297122361344
- 4672013138688 cubed (46720131386883) is 101979332807867425359084221171522076672
-
The
square root of 4672013138688 is 2161484.0130539943 -
The
cube root of 4672013138688 is 16717.3724564673
Scales and comparisons
How big is 4672013138688?- 4,672,013,138,688 seconds is equal to 148,555 years, 29 weeks, 3 days, 3 hours, 24 minutes, 48 seconds.
-
To count from 1 to 4,672,013,138,688 would take you about three hundred seventy-one thousand, three hundred eighty-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 4672013138688 cubic inches would be around 1393.1 feet tall.
Recreational maths with 4672013138688
- 4672013138688 backwards is 8868313102764
- 4672013138688 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 4672013138688's digits is 57
- More coming soon!
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"Number 4672013138688 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 4672013138688 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/4672013138688/
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The information we have on file for 4672013138688 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!
Keywords: Divisors of 4672013138688, math, Factors of 4672013138688, curriculum, school, college, exams, university, Prime factorization of 4672013138688, STEM, science, technology, engineering, physics, economics, calculator, four trillion, six hundred seventy-two billion, thirteen million, one hundred thirty-eight thousand, six hundred eighty-eight.